0.11/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.14	% Command    : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.JKIpCzJ5u3
0.14/0.36	% Computer   : n016.cluster.edu
0.14/0.36	% Model      : x86_64 x86_64
0.14/0.36	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.36	% Memory     : 8042.1875MB
0.14/0.36	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.36	% CPULimit   : 180
0.14/0.36	% DateTime   : Thu Aug 29 12:15:23 EDT 2019
0.14/0.36	% CPUTime    : 
35.24/35.63	% Running portfolio for 180 s
35.24/35.63	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
35.24/35.63	% TempDir      : /export/starexec/sandbox/tmp/tmp.JKIpCzJ5u3
35.24/35.63	% Recognized as monomorphic HO.
35.24/35.63	% Running /export/starexec/sandbox/solver/bin/competitive.sh for 18
35.24/35.63	% Running /export/starexec/sandbox/solver/bin/competitive.2.sh for 13
35.24/35.63	% Running /export/starexec/sandbox/solver/bin/competitive.3.sh for 3
35.24/35.63	% Running /export/starexec/sandbox/solver/bin/pragmatic.rudimentary.sh for 28
35.24/35.63	% Solved by: pragmatic.rudimentary.sh
35.24/35.63	% done 435 iterations in 1.231s
35.24/35.63	% hashcons stats for terms: size 4096, num 2605, sum length 12857, buckets: small 0, median 3, big 7
35.24/35.63	% proof state stats: {active 211, passive 2426, simpl 0}
35.24/35.63	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
35.24/35.63	% SZS output start Refutation
35.24/35.63	tff(transitive_reflexive_symmetric_closure, axiom, trsc() =
35.24/35.63	  ^[R:(($i * $i) > $o)]: sc(rc(tc(R)))).
35.24/35.63	tff('0', plain, trsc = (^[V_1:(($i * $i) > $o)]: sc(rc(tc(V_1)))),
35.24/35.63	    define([status(thm)])).
35.24/35.63	tff(transitive_closure, axiom, tc() =
35.24/35.63	  ^[R:(($i * $i) > $o),X,Y]:
35.24/35.63	    (![S:(($i * $i) > $o)]: ((subrel(R,S) & trans(S)) => S(X,Y)))).
35.24/35.63	tff('1', plain,
35.24/35.63	    tc =
35.24/35.63	    (^[V_1:(($i * $i) > $o),V_2,V_3]:
35.24/35.63	       (![X2:(($i * $i) > $o)]: ((subrel(V_1,X2) & trans(X2)) => X2(V_2,V_3)))),
35.24/35.63	    define([status(thm)])).
35.24/35.63	tff(transitive, axiom, trans() =
35.24/35.63	  ^[R:(($i * $i) > $o)]: (![X,Y,Z]: ((R(Y,Z) & R(X,Y)) => R(X,Z)))).
35.24/35.63	tff('2', plain,
35.24/35.63	    trans =
35.24/35.63	    (^[V_1:(($i * $i) > $o)]:
35.24/35.63	       (![X2,X3,X4]: ((V_1(X3,X4) & V_1(X2,X3)) => V_1(X2,X4)))),
35.24/35.63	    define([status(thm)])).
35.24/35.63	tff(symmetric_closure, axiom, sc() =
35.24/35.63	  ^[R:(($i * $i) > $o),X,Y]: (R(X,Y) | R(Y,X))).
35.24/35.63	tff('3', plain,
35.24/35.63	    sc = (^[V_1:(($i * $i) > $o),V_2,V_3]: (V_1(V_2,V_3) | V_1(V_3,V_2))),
35.24/35.63	    define([status(thm)])).
35.24/35.63	tff(reflexive_closure, axiom, rc() =
35.24/35.63	  ^[R:(($i * $i) > $o),X,Y]: (R(X,Y) | (X = Y))).
35.24/35.63	tff('4', plain,
35.24/35.63	    rc = (^[V_1:(($i * $i) > $o),V_2,V_3]: (V_1(V_2,V_3) | (V_2 = V_3))),
35.24/35.63	    define([status(thm)])).
35.24/35.63	tff(monotonic, axiom, mono() =
35.24/35.63	  ^[F:((($i * $i) > $o * $i * $i) > $o)]:
35.24/35.63	    (![R:(($i * $i) > $o),S:(($i * $i) > $o)]:
35.24/35.63	       (subrel(R,S) => subrel(F(R),F(S))))).
35.24/35.63	tff('5', plain,
35.24/35.63	    mono =
35.24/35.63	    (^[V_1:((($i * $i) > $o * $i * $i) > $o)]:
35.24/35.63	       (![X2:(($i * $i) > $o),X3:(($i * $i) > $o)]:
35.24/35.63	          (subrel(X2,X3) => subrel(V_1(X2),V_1(X3))))),
35.24/35.63	    define([status(thm)])).
35.24/35.63	tff(subrel, axiom, subrel() =
35.24/35.63	  ^[R:(($i * $i) > $o),S:(($i * $i) > $o)]: (![X,Y]: (R(X,Y) => S(X,Y)))).
35.24/35.63	tff('6', plain,
35.24/35.63	    subrel =
35.24/35.63	    (^[V_1:(($i * $i) > $o),V_2:(($i * $i) > $o)]:
35.24/35.63	       (![X2,X3]: (V_1(X2,X3) => V_2(X2,X3)))),
35.24/35.63	    define([status(thm)])).
35.24/35.63	tff(transitive_reflexive_symmetric_closure_op_is_monotonic, conjecture,
35.24/35.63	  (mono(trsc))).
35.24/35.63	tff(zf_stmt_0, conjecture,
35.24/35.63	  (![X2:(($i * $i) > $o),X3:(($i * $i) > $o)]:
35.24/35.63	     ((![X4,X5]: (X2(X4,X5) => X3(X4,X5))) =>
35.24/35.63	      (![X6,X7]:
35.24/35.63	         (((X6 = X7) | 
35.24/35.63	           (![X8:(($i * $i) > $o)]:
35.24/35.63	              (((![X9,X10]: (X2(X9,X10) => X8(X9,X10))) & 
35.24/35.63	                (![X11,X12,X13]: ((X8(X12,X13) & X8(X11,X12)) => X8(X11,X13)))) =>
35.24/35.63	               X8(X6,X7))) | 
35.24/35.63	           (X7 = X6) | 
35.24/35.63	           (![X14:(($i * $i) > $o)]:
35.24/35.63	              (((![X15,X16]: (X2(X15,X16) => X14(X15,X16))) & 
35.24/35.63	                (![X17,X18,X19]:
35.24/35.63	                   ((X14(X18,X19) & X14(X17,X18)) => X14(X17,X19)))) =>
35.24/35.63	               X14(X7,X6)))) =>
35.24/35.63	          ((X6 = X7) | 
35.24/35.63	           (![X20:(($i * $i) > $o)]:
35.24/35.63	              (((![X21,X22]: (X3(X21,X22) => X20(X21,X22))) & 
35.24/35.63	                (![X23,X24,X25]:
35.24/35.63	                   ((X20(X24,X25) & X20(X23,X24)) => X20(X23,X25)))) =>
35.24/35.63	               X20(X6,X7))) | 
35.24/35.63	           (X7 = X6) | 
35.24/35.63	           (![X26:(($i * $i) > $o)]:
35.24/35.63	              (((![X27,X28]: (X3(X27,X28) => X26(X27,X28))) & 
35.24/35.63	                (![X29,X30,X31]:
35.24/35.63	                   ((X26(X30,X31) & X26(X29,X30)) => X26(X29,X31)))) =>
35.24/35.63	               X26(X7,X6))))))))).
35.24/35.63	tff(zf_stmt_1, negated_conjecture,
35.24/35.63	  (~
35.24/35.63	    (![X2:(($i * $i) > $o),X3:(($i * $i) > $o)]:
35.24/35.63	       ((![X4,X5]: (X2(X4,X5) => X3(X4,X5))) =>
35.24/35.63	        (![X6,X7]:
35.24/35.63	           (((X6 = X7) | 
35.24/35.63	             (![X8:(($i * $i) > $o)]:
35.24/35.63	                (((![X9,X10]: (X2(X9,X10) => X8(X9,X10))) & 
35.24/35.63	                  (![X11,X12,X13]:
35.24/35.63	                     ((X8(X12,X13) & X8(X11,X12)) => X8(X11,X13)))) =>
35.24/35.63	                 X8(X6,X7))) | 
35.24/35.63	             (X7 = X6) | 
35.24/35.63	             (![X14:(($i * $i) > $o)]:
35.24/35.63	                (((![X15,X16]: (X2(X15,X16) => X14(X15,X16))) & 
35.24/35.63	                  (![X17,X18,X19]:
35.24/35.63	                     ((X14(X18,X19) & X14(X17,X18)) => X14(X17,X19)))) =>
35.24/35.63	                 X14(X7,X6)))) =>
35.24/35.63	            ((X6 = X7) | 
35.24/35.63	             (![X20:(($i * $i) > $o)]:
35.24/35.63	                (((![X21,X22]: (X3(X21,X22) => X20(X21,X22))) & 
35.24/35.63	                  (![X23,X24,X25]:
35.24/35.63	                     ((X20(X24,X25) & X20(X23,X24)) => X20(X23,X25)))) =>
35.24/35.63	                 X20(X6,X7))) | 
35.24/35.63	             (X7 = X6) | 
35.24/35.63	             (![X26:(($i * $i) > $o)]:
35.24/35.63	                (((![X27,X28]: (X3(X27,X28) => X26(X27,X28))) & 
35.24/35.63	                  (![X29,X30,X31]:
35.24/35.63	                     ((X26(X30,X31) & X26(X29,X30)) => X26(X29,X31)))) =>
35.24/35.63	                 X26(X7,X6)))))))))).
35.24/35.63	tff('7', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('8', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['7'])).
35.24/35.63	tff('9', plain, sk_X7_ != sk_X6_,
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('10', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['8', '9'])).
35.24/35.63	tff('11', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103))))
35.24/35.63	      <= ((![X103 : ($i * $i) > $o]:
35.24/35.63	             (X103(sk_X7_, sk_X6_)
35.24/35.63	              | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	              | ~ X103(sk_X15_(X103), sk_X16_(X103))))),
35.24/35.63	    inference('split', [status(esa)], ['10'])).
35.24/35.63	tff('12', plain, ~ sk_X26_(sk_X7_, sk_X6_),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('13', plain,
35.24/35.63	    ((~ sk_X26_(sk_X15_(sk_X26_), sk_X16_(sk_X26_))
35.24/35.63	      | sk_X26_(sk_X18_(sk_X26_), sk_X19_(sk_X26_))))
35.24/35.63	      <= ((![X103 : ($i * $i) > $o]:
35.24/35.63	             (X103(sk_X7_, sk_X6_)
35.24/35.63	              | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	              | ~ X103(sk_X15_(X103), sk_X16_(X103))))),
35.24/35.63	    inference('sup-', [status(thm)], ['11', '12'])).
35.24/35.63	tff('14', plain,
35.24/35.63	    (sk_X26_(sk_X18_(sk_X26_), sk_X19_(sk_X26_)))
35.24/35.63	      <= ((sk_X26_(sk_X18_(sk_X26_), sk_X19_(sk_X26_)))),
35.24/35.63	    inference('split', [status(esa)], ['13'])).
35.24/35.63	tff('15', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('16', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['15'])).
35.24/35.63	tff('17', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['16', '9'])).
35.24/35.63	tff('18', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)))
35.24/35.63	      <= ((![X103 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	              | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	              | X103(sk_X7_, sk_X6_)))),
35.24/35.63	    inference('split', [status(esa)], ['17'])).
35.24/35.63	tff('19', plain, ![X90, X91]: (sk_X3_(X90, X91) | ~ sk_X2_(X90, X91)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('20', plain,
35.24/35.63	    (![X0 : ($i * $i) > $o]:
35.24/35.63	       (X0(sk_X7_, sk_X6_)
35.24/35.63	        | X0(sk_X17_(X0), sk_X18_(X0))
35.24/35.63	        | sk_X3_(sk_X15_(X0), sk_X16_(X0))))
35.24/35.63	      <= ((![X103 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	              | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	              | X103(sk_X7_, sk_X6_)))),
35.24/35.63	    inference('sup-', [status(thm)], ['18', '19'])).
35.24/35.63	tff('21', plain,
35.24/35.63	    ((sk_X3_(sk_X15_(sk_X26_), sk_X16_(sk_X26_))
35.24/35.63	      | sk_X26_(sk_X17_(sk_X26_), sk_X18_(sk_X26_))))
35.24/35.63	      <= ((![X103 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	              | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	              | X103(sk_X7_, sk_X6_)))),
35.24/35.63	    inference('sup-', [status(thm)], ['20', '12'])).
35.24/35.63	tff('22', plain,
35.24/35.63	    (sk_X26_(sk_X17_(sk_X26_), sk_X18_(sk_X26_)))
35.24/35.63	      <= ((sk_X26_(sk_X17_(sk_X26_), sk_X18_(sk_X26_)))),
35.24/35.63	    inference('split', [status(esa)], ['21'])).
35.24/35.63	tff('23', plain,
35.24/35.63	    ![X94, X95, X96]:
35.24/35.63	      (~ sk_X26_(X94, X95) | ~ sk_X26_(X95, X96) | sk_X26_(X94, X96)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('24', plain,
35.24/35.63	    (![X0]: (sk_X26_(sk_X17_(sk_X26_), X0) | ~ sk_X26_(sk_X18_(sk_X26_), X0)))
35.24/35.63	      <= ((sk_X26_(sk_X17_(sk_X26_), sk_X18_(sk_X26_)))),
35.24/35.63	    inference('sup-', [status(thm)], ['22', '23'])).
35.24/35.63	tff('25', plain,
35.24/35.63	    (sk_X26_(sk_X17_(sk_X26_), sk_X19_(sk_X26_)))
35.24/35.63	      <= ((sk_X26_(sk_X17_(sk_X26_), sk_X18_(sk_X26_))) & 
35.24/35.63	          (sk_X26_(sk_X18_(sk_X26_), sk_X19_(sk_X26_)))),
35.24/35.63	    inference('sup-', [status(thm)], ['14', '24'])).
35.24/35.63	tff('26', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('27', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['26'])).
35.24/35.63	tff('28', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['27', '9'])).
35.24/35.63	tff('29', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103))))
35.24/35.63	      <= ((![X103 : ($i * $i) > $o]:
35.24/35.63	             (X103(sk_X7_, sk_X6_)
35.24/35.63	              | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	              | ~ X103(sk_X15_(X103), sk_X16_(X103))))),
35.24/35.63	    inference('split', [status(esa)], ['28'])).
35.24/35.63	tff('30', plain,
35.24/35.63	    ((~ sk_X26_(sk_X15_(sk_X26_), sk_X16_(sk_X26_))
35.24/35.63	      | ~ sk_X26_(sk_X17_(sk_X26_), sk_X19_(sk_X26_))))
35.24/35.63	      <= ((![X103 : ($i * $i) > $o]:
35.24/35.63	             (X103(sk_X7_, sk_X6_)
35.24/35.63	              | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	              | ~ X103(sk_X15_(X103), sk_X16_(X103))))),
35.24/35.63	    inference('sup-', [status(thm)], ['29', '12'])).
35.24/35.63	tff('31', plain,
35.24/35.63	    (~ sk_X26_(sk_X17_(sk_X26_), sk_X19_(sk_X26_)))
35.24/35.63	      <= (~ (sk_X26_(sk_X17_(sk_X26_), sk_X19_(sk_X26_)))),
35.24/35.63	    inference('split', [status(esa)], ['30'])).
35.24/35.63	tff('32', plain,
35.24/35.63	    ~ (sk_X26_(sk_X18_(sk_X26_), sk_X19_(sk_X26_))) | 
35.24/35.63	    ~ (sk_X26_(sk_X17_(sk_X26_), sk_X18_(sk_X26_))) | 
35.24/35.63	    (sk_X26_(sk_X17_(sk_X26_), sk_X19_(sk_X26_))),
35.24/35.63	    inference('sup-', [status(thm)], ['25', '31'])).
35.24/35.63	tff('33', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('34', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['33'])).
35.24/35.63	tff('35', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['34', '9'])).
35.24/35.63	tff('36', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X17_(X103), sk_X19_(X103))))
35.24/35.63	      <= ((![X103 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	              | X103(sk_X7_, sk_X6_)
35.24/35.63	              | ~ X103(sk_X17_(X103), sk_X19_(X103))))),
35.24/35.63	    inference('split', [status(esa)], ['35'])).
35.24/35.63	tff('37', plain,
35.24/35.63	    (![X0 : ($i * $i) > $o]:
35.24/35.63	       (~ X0(sk_X17_(X0), sk_X19_(X0))
35.24/35.63	        | X0(sk_X7_, sk_X6_)
35.24/35.63	        | sk_X3_(sk_X15_(X0), sk_X16_(X0))))
35.24/35.63	      <= ((![X103 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	              | X103(sk_X7_, sk_X6_)
35.24/35.63	              | ~ X103(sk_X17_(X103), sk_X19_(X103))))),
35.24/35.63	    inference('sup-', [status(thm)], ['36', '19'])).
35.24/35.63	tff('38', plain, ![X92, X93]: (sk_X26_(X92, X93) | ~ sk_X3_(X92, X93)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('39', plain,
35.24/35.63	    (![X0 : ($i * $i) > $o]:
35.24/35.63	       (X0(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X0(sk_X17_(X0), sk_X19_(X0))
35.24/35.63	        | sk_X26_(sk_X15_(X0), sk_X16_(X0))))
35.24/35.63	      <= ((![X103 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	              | X103(sk_X7_, sk_X6_)
35.24/35.63	              | ~ X103(sk_X17_(X103), sk_X19_(X103))))),
35.24/35.63	    inference('sup-', [status(thm)], ['37', '38'])).
35.24/35.63	tff('40', plain,
35.24/35.63	    ((sk_X26_(sk_X15_(sk_X26_), sk_X16_(sk_X26_))
35.24/35.63	      | ~ sk_X26_(sk_X17_(sk_X26_), sk_X19_(sk_X26_))))
35.24/35.63	      <= ((![X103 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	              | X103(sk_X7_, sk_X6_)
35.24/35.63	              | ~ X103(sk_X17_(X103), sk_X19_(X103))))),
35.24/35.63	    inference('sup-', [status(thm)], ['39', '12'])).
35.24/35.63	tff('41', plain,
35.24/35.63	    ~ (sk_X26_(sk_X17_(sk_X26_), sk_X19_(sk_X26_))) | 
35.24/35.63	    (sk_X26_(sk_X15_(sk_X26_), sk_X16_(sk_X26_))) | 
35.24/35.63	    ~
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X17_(X103), sk_X19_(X103)))),
35.24/35.63	    inference('split', [status(esa)], ['40'])).
35.24/35.63	tff('42', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('43', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['42'])).
35.24/35.63	tff('44', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['43', '9'])).
35.24/35.63	tff('45', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | X102(sk_X12_(X102), sk_X13_(X102))))
35.24/35.63	      <= ((![X102 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	              | X102(sk_X6_, sk_X7_)
35.24/35.63	              | X102(sk_X12_(X102), sk_X13_(X102))))),
35.24/35.63	    inference('split', [status(esa)], ['44'])).
35.24/35.63	tff('46', plain,
35.24/35.63	    (![X0 : ($i * $i) > $o]:
35.24/35.63	       (X0(sk_X12_(X0), sk_X13_(X0))
35.24/35.63	        | X0(sk_X6_, sk_X7_)
35.24/35.63	        | sk_X3_(sk_X9_(X0), sk_X10_(X0))))
35.24/35.63	      <= ((![X102 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	              | X102(sk_X6_, sk_X7_)
35.24/35.63	              | X102(sk_X12_(X102), sk_X13_(X102))))),
35.24/35.63	    inference('sup-', [status(thm)], ['45', '19'])).
35.24/35.63	tff('47', plain, ~ sk_X20_(sk_X6_, sk_X7_),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('48', plain,
35.24/35.63	    ((sk_X3_(sk_X9_(sk_X20_), sk_X10_(sk_X20_))
35.24/35.63	      | sk_X20_(sk_X12_(sk_X20_), sk_X13_(sk_X20_))))
35.24/35.63	      <= ((![X102 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	              | X102(sk_X6_, sk_X7_)
35.24/35.63	              | X102(sk_X12_(X102), sk_X13_(X102))))),
35.24/35.63	    inference('sup-', [status(thm)], ['46', '47'])).
35.24/35.63	tff('49', plain,
35.24/35.63	    (sk_X20_(sk_X12_(sk_X20_), sk_X13_(sk_X20_)))
35.24/35.63	      <= ((sk_X20_(sk_X12_(sk_X20_), sk_X13_(sk_X20_)))),
35.24/35.63	    inference('split', [status(esa)], ['48'])).
35.24/35.63	tff('50', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)))
35.24/35.63	      <= ((![X102 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	              | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	              | X102(sk_X6_, sk_X7_)))),
35.24/35.63	    inference('split', [status(esa)], ['17'])).
35.24/35.63	tff('51', plain,
35.24/35.63	    (![X0 : ($i * $i) > $o]:
35.24/35.63	       (X0(sk_X6_, sk_X7_)
35.24/35.63	        | X0(sk_X11_(X0), sk_X12_(X0))
35.24/35.63	        | sk_X3_(sk_X9_(X0), sk_X10_(X0))))
35.24/35.63	      <= ((![X102 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	              | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	              | X102(sk_X6_, sk_X7_)))),
35.24/35.63	    inference('sup-', [status(thm)], ['50', '19'])).
35.24/35.63	tff('52', plain,
35.24/35.63	    ((sk_X3_(sk_X9_(sk_X20_), sk_X10_(sk_X20_))
35.24/35.63	      | sk_X20_(sk_X11_(sk_X20_), sk_X12_(sk_X20_))))
35.24/35.63	      <= ((![X102 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	              | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	              | X102(sk_X6_, sk_X7_)))),
35.24/35.63	    inference('sup-', [status(thm)], ['51', '47'])).
35.24/35.63	tff('53', plain,
35.24/35.63	    (sk_X20_(sk_X11_(sk_X20_), sk_X12_(sk_X20_)))
35.24/35.63	      <= ((sk_X20_(sk_X11_(sk_X20_), sk_X12_(sk_X20_)))),
35.24/35.63	    inference('split', [status(esa)], ['52'])).
35.24/35.63	tff('54', plain,
35.24/35.63	    ![X99, X100, X101]:
35.24/35.63	      (~ sk_X20_(X99, X100) | ~ sk_X20_(X100, X101) | sk_X20_(X99, X101)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('55', plain,
35.24/35.63	    (![X0]: (sk_X20_(sk_X11_(sk_X20_), X0) | ~ sk_X20_(sk_X12_(sk_X20_), X0)))
35.24/35.63	      <= ((sk_X20_(sk_X11_(sk_X20_), sk_X12_(sk_X20_)))),
35.24/35.63	    inference('sup-', [status(thm)], ['53', '54'])).
35.24/35.63	tff('56', plain,
35.24/35.63	    (sk_X20_(sk_X11_(sk_X20_), sk_X13_(sk_X20_)))
35.24/35.63	      <= ((sk_X20_(sk_X11_(sk_X20_), sk_X12_(sk_X20_))) & 
35.24/35.63	          (sk_X20_(sk_X12_(sk_X20_), sk_X13_(sk_X20_)))),
35.24/35.63	    inference('sup-', [status(thm)], ['49', '55'])).
35.24/35.63	tff('57', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('58', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['57'])).
35.24/35.63	tff('59', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['58', '9'])).
35.24/35.63	tff('60', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X11_(X102), sk_X13_(X102))))
35.24/35.63	      <= ((![X102 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	              | X102(sk_X6_, sk_X7_)
35.24/35.63	              | ~ X102(sk_X11_(X102), sk_X13_(X102))))),
35.24/35.63	    inference('split', [status(esa)], ['59'])).
35.24/35.63	tff('61', plain,
35.24/35.63	    (![X0 : ($i * $i) > $o]:
35.24/35.63	       (~ X0(sk_X11_(X0), sk_X13_(X0))
35.24/35.63	        | X0(sk_X6_, sk_X7_)
35.24/35.63	        | sk_X3_(sk_X9_(X0), sk_X10_(X0))))
35.24/35.63	      <= ((![X102 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	              | X102(sk_X6_, sk_X7_)
35.24/35.63	              | ~ X102(sk_X11_(X102), sk_X13_(X102))))),
35.24/35.63	    inference('sup-', [status(thm)], ['60', '19'])).
35.24/35.63	tff('62', plain,
35.24/35.63	    ((sk_X3_(sk_X9_(sk_X20_), sk_X10_(sk_X20_))
35.24/35.63	      | ~ sk_X20_(sk_X11_(sk_X20_), sk_X13_(sk_X20_))))
35.24/35.63	      <= ((![X102 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	              | X102(sk_X6_, sk_X7_)
35.24/35.63	              | ~ X102(sk_X11_(X102), sk_X13_(X102))))),
35.24/35.63	    inference('sup-', [status(thm)], ['61', '47'])).
35.24/35.63	tff('63', plain,
35.24/35.63	    (~ sk_X20_(sk_X11_(sk_X20_), sk_X13_(sk_X20_)))
35.24/35.63	      <= (~ (sk_X20_(sk_X11_(sk_X20_), sk_X13_(sk_X20_)))),
35.24/35.63	    inference('split', [status(esa)], ['62'])).
35.24/35.63	tff('64', plain,
35.24/35.63	    ~ (sk_X20_(sk_X12_(sk_X20_), sk_X13_(sk_X20_))) | 
35.24/35.63	    ~ (sk_X20_(sk_X11_(sk_X20_), sk_X12_(sk_X20_))) | 
35.24/35.63	    (sk_X20_(sk_X11_(sk_X20_), sk_X13_(sk_X20_))),
35.24/35.63	    inference('sup-', [status(thm)], ['56', '63'])).
35.24/35.63	tff('65', plain,
35.24/35.63	    ~ (sk_X20_(sk_X11_(sk_X20_), sk_X13_(sk_X20_))) | 
35.24/35.63	    (sk_X3_(sk_X9_(sk_X20_), sk_X10_(sk_X20_))) | 
35.24/35.63	    ~
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X11_(X102), sk_X13_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['62'])).
35.24/35.63	tff('66', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('67', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['66'])).
35.24/35.63	tff('68', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['67', '9'])).
35.24/35.63	tff('69', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | X103(sk_X18_(X103), sk_X19_(X103))))
35.24/35.63	      <= ((![X103 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	              | X103(sk_X7_, sk_X6_)
35.24/35.63	              | X103(sk_X18_(X103), sk_X19_(X103))))),
35.24/35.63	    inference('split', [status(esa)], ['68'])).
35.24/35.63	tff('70', plain,
35.24/35.63	    (![X0 : ($i * $i) > $o]:
35.24/35.63	       (X0(sk_X18_(X0), sk_X19_(X0))
35.24/35.63	        | X0(sk_X7_, sk_X6_)
35.24/35.63	        | sk_X3_(sk_X15_(X0), sk_X16_(X0))))
35.24/35.63	      <= ((![X103 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	              | X103(sk_X7_, sk_X6_)
35.24/35.63	              | X103(sk_X18_(X103), sk_X19_(X103))))),
35.24/35.63	    inference('sup-', [status(thm)], ['69', '19'])).
35.24/35.63	tff('71', plain,
35.24/35.63	    ((sk_X3_(sk_X15_(sk_X26_), sk_X16_(sk_X26_))
35.24/35.63	      | sk_X26_(sk_X18_(sk_X26_), sk_X19_(sk_X26_))))
35.24/35.63	      <= ((![X103 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	              | X103(sk_X7_, sk_X6_)
35.24/35.63	              | X103(sk_X18_(X103), sk_X19_(X103))))),
35.24/35.63	    inference('sup-', [status(thm)], ['70', '12'])).
35.24/35.63	tff('72', plain,
35.24/35.63	    (sk_X26_(sk_X18_(sk_X26_), sk_X19_(sk_X26_))) | 
35.24/35.63	    ~
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | X103(sk_X18_(X103), sk_X19_(X103)))) | 
35.24/35.63	    (sk_X3_(sk_X15_(sk_X26_), sk_X16_(sk_X26_))),
35.24/35.63	    inference('split', [status(esa)], ['71'])).
35.24/35.63	tff('73', plain,
35.24/35.63	    (![X0 : ($i * $i) > $o]:
35.24/35.63	       (X0(sk_X17_(X0), sk_X18_(X0))
35.24/35.63	        | X0(sk_X7_, sk_X6_)
35.24/35.63	        | sk_X26_(sk_X15_(X0), sk_X16_(X0))))
35.24/35.63	      <= ((![X103 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	              | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	              | X103(sk_X7_, sk_X6_)))),
35.24/35.63	    inference('sup-', [status(thm)], ['20', '38'])).
35.24/35.63	tff('74', plain,
35.24/35.63	    ((sk_X26_(sk_X15_(sk_X26_), sk_X16_(sk_X26_))
35.24/35.63	      | sk_X26_(sk_X17_(sk_X26_), sk_X18_(sk_X26_))))
35.24/35.63	      <= ((![X103 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	              | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	              | X103(sk_X7_, sk_X6_)))),
35.24/35.63	    inference('sup-', [status(thm)], ['73', '12'])).
35.24/35.63	tff('75', plain,
35.24/35.63	    (sk_X26_(sk_X17_(sk_X26_), sk_X18_(sk_X26_))) | 
35.24/35.63	    ~
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_))) | 
35.24/35.63	    (sk_X26_(sk_X15_(sk_X26_), sk_X16_(sk_X26_))),
35.24/35.63	    inference('split', [status(esa)], ['74'])).
35.24/35.63	tff('76', plain,
35.24/35.63	    (sk_X3_(sk_X15_(sk_X26_), sk_X16_(sk_X26_)))
35.24/35.63	      <= ((sk_X3_(sk_X15_(sk_X26_), sk_X16_(sk_X26_)))),
35.24/35.63	    inference('split', [status(esa)], ['21'])).
35.24/35.63	tff('77', plain,
35.24/35.63	    (sk_X26_(sk_X15_(sk_X26_), sk_X16_(sk_X26_)))
35.24/35.63	      <= ((sk_X3_(sk_X15_(sk_X26_), sk_X16_(sk_X26_)))),
35.24/35.63	    inference('sup-', [status(thm)], ['76', '38'])).
35.24/35.63	tff('78', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('79', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['78'])).
35.24/35.63	tff('80', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['79', '9'])).
35.24/35.63	tff('81', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103))))
35.24/35.63	      <= ((![X103 : ($i * $i) > $o]:
35.24/35.63	             (X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	              | X103(sk_X7_, sk_X6_)
35.24/35.63	              | ~ X103(sk_X15_(X103), sk_X16_(X103))))),
35.24/35.63	    inference('split', [status(esa)], ['80'])).
35.24/35.63	tff('82', plain,
35.24/35.63	    ((~ sk_X26_(sk_X15_(sk_X26_), sk_X16_(sk_X26_))
35.24/35.63	      | sk_X26_(sk_X17_(sk_X26_), sk_X18_(sk_X26_))))
35.24/35.63	      <= ((![X103 : ($i * $i) > $o]:
35.24/35.63	             (X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	              | X103(sk_X7_, sk_X6_)
35.24/35.63	              | ~ X103(sk_X15_(X103), sk_X16_(X103))))),
35.24/35.63	    inference('sup-', [status(thm)], ['81', '12'])).
35.24/35.63	tff('83', plain,
35.24/35.63	    (~ sk_X26_(sk_X15_(sk_X26_), sk_X16_(sk_X26_)))
35.24/35.63	      <= (~ (sk_X26_(sk_X15_(sk_X26_), sk_X16_(sk_X26_)))),
35.24/35.63	    inference('split', [status(esa)], ['82'])).
35.24/35.63	tff('84', plain,
35.24/35.63	    ~ (sk_X3_(sk_X15_(sk_X26_), sk_X16_(sk_X26_))) | 
35.24/35.63	    (sk_X26_(sk_X15_(sk_X26_), sk_X16_(sk_X26_))),
35.24/35.63	    inference('sup-', [status(thm)], ['77', '83'])).
35.24/35.63	tff('85', plain,
35.24/35.63	    (sk_X26_(sk_X17_(sk_X26_), sk_X18_(sk_X26_))) | 
35.24/35.63	    ~ (sk_X26_(sk_X15_(sk_X26_), sk_X16_(sk_X26_))) | 
35.24/35.63	    ~
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))),
35.24/35.63	    inference('split', [status(esa)], ['82'])).
35.24/35.63	tff('86', plain,
35.24/35.63	    ~ (sk_X26_(sk_X17_(sk_X26_), sk_X19_(sk_X26_))) | 
35.24/35.63	    ~ (sk_X26_(sk_X15_(sk_X26_), sk_X16_(sk_X26_))) | 
35.24/35.63	    ~
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))),
35.24/35.63	    inference('split', [status(esa)], ['30'])).
35.24/35.63	tff('87', plain,
35.24/35.63	    (sk_X26_(sk_X18_(sk_X26_), sk_X19_(sk_X26_))) | 
35.24/35.63	    ~ (sk_X26_(sk_X15_(sk_X26_), sk_X16_(sk_X26_))) | 
35.24/35.63	    ~
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))),
35.24/35.63	    inference('split', [status(esa)], ['13'])).
35.24/35.63	tff('88', plain,
35.24/35.63	    ~ (sk_X26_(sk_X15_(sk_X26_), sk_X16_(sk_X26_))) | 
35.24/35.63	    ~
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))) | 
35.24/35.63	    ~
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))) | 
35.24/35.63	    ~
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))),
35.24/35.63	    inference('sat_resolution', [status(thm)], ['32', '85', '86', '87'])).
35.24/35.63	tff('89', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('90', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['89'])).
35.24/35.63	tff('91', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['90', '9'])).
35.24/35.63	tff('92', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X11_(X102), sk_X13_(X102)))) | 
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))),
35.24/35.63	    inference('split', [status(esa)], ['91'])).
35.24/35.63	tff('93', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('94', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['93'])).
35.24/35.63	tff('95', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['94', '9'])).
35.24/35.63	tff('96', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X11_(X102), sk_X13_(X102)))) | 
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))),
35.24/35.63	    inference('split', [status(esa)], ['95'])).
35.24/35.63	tff('97', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('98', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['97'])).
35.24/35.63	tff('99', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['98', '9'])).
35.24/35.63	tff('100', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X11_(X102), sk_X13_(X102)))) | 
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))),
35.24/35.63	    inference('split', [status(esa)], ['99'])).
35.24/35.63	tff('101', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('102', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['101'])).
35.24/35.63	tff('103', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['102', '9'])).
35.24/35.63	tff('104', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X11_(X102), sk_X13_(X102)))) | 
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X17_(X103), sk_X19_(X103)))),
35.24/35.63	    inference('split', [status(esa)], ['103'])).
35.24/35.63	tff('105', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('106', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['105'])).
35.24/35.63	tff('107', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['106', '9'])).
35.24/35.63	tff('108', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | X103(sk_X18_(X103), sk_X19_(X103)))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X11_(X102), sk_X13_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['107'])).
35.24/35.63	tff('109', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X11_(X102), sk_X13_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['59'])).
35.24/35.63	tff('110', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X11_(X102), sk_X13_(X102)))),
35.24/35.63	    inference('sat_resolution', [status(thm)],
35.24/35.63	              ['32', '72', '41', '75', '84', '88', '92', '96', '100', '104', 
35.24/35.63	               '108', '109'])).
35.24/35.63	tff('111', plain,
35.24/35.63	    ~
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | X102(sk_X12_(X102), sk_X13_(X102)))) | 
35.24/35.63	    (sk_X20_(sk_X12_(sk_X20_), sk_X13_(sk_X20_))) | 
35.24/35.63	    (sk_X3_(sk_X9_(sk_X20_), sk_X10_(sk_X20_))),
35.24/35.63	    inference('split', [status(esa)], ['48'])).
35.24/35.63	tff('112', plain, ![X97, X98]: (sk_X20_(X97, X98) | ~ sk_X3_(X97, X98)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('113', plain,
35.24/35.63	    (![X0 : ($i * $i) > $o]:
35.24/35.63	       (X0(sk_X11_(X0), sk_X12_(X0))
35.24/35.63	        | X0(sk_X6_, sk_X7_)
35.24/35.63	        | sk_X20_(sk_X9_(X0), sk_X10_(X0))))
35.24/35.63	      <= ((![X102 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	              | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	              | X102(sk_X6_, sk_X7_)))),
35.24/35.63	    inference('sup-', [status(thm)], ['51', '112'])).
35.24/35.63	tff('114', plain,
35.24/35.63	    ((sk_X20_(sk_X9_(sk_X20_), sk_X10_(sk_X20_))
35.24/35.63	      | sk_X20_(sk_X11_(sk_X20_), sk_X12_(sk_X20_))))
35.24/35.63	      <= ((![X102 : ($i * $i) > $o]:
35.24/35.63	             (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	              | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	              | X102(sk_X6_, sk_X7_)))),
35.24/35.63	    inference('sup-', [status(thm)], ['113', '47'])).
35.24/35.63	tff('115', plain,
35.24/35.63	    (sk_X20_(sk_X11_(sk_X20_), sk_X12_(sk_X20_))) | 
35.24/35.63	    ~
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_))) | 
35.24/35.63	    (sk_X20_(sk_X9_(sk_X20_), sk_X10_(sk_X20_))),
35.24/35.63	    inference('split', [status(esa)], ['114'])).
35.24/35.63	tff('116', plain,
35.24/35.63	    (sk_X3_(sk_X9_(sk_X20_), sk_X10_(sk_X20_)))
35.24/35.63	      <= ((sk_X3_(sk_X9_(sk_X20_), sk_X10_(sk_X20_)))),
35.24/35.63	    inference('split', [status(esa)], ['52'])).
35.24/35.63	tff('117', plain,
35.24/35.63	    (sk_X20_(sk_X9_(sk_X20_), sk_X10_(sk_X20_)))
35.24/35.63	      <= ((sk_X3_(sk_X9_(sk_X20_), sk_X10_(sk_X20_)))),
35.24/35.63	    inference('sup-', [status(thm)], ['116', '112'])).
35.24/35.63	tff('118', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('119', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['118'])).
35.24/35.63	tff('120', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['119', '9'])).
35.24/35.63	tff('121', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102))))
35.24/35.63	      <= ((![X102 : ($i * $i) > $o]:
35.24/35.63	             (X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	              | X102(sk_X6_, sk_X7_)
35.24/35.63	              | ~ X102(sk_X9_(X102), sk_X10_(X102))))),
35.24/35.63	    inference('split', [status(esa)], ['120'])).
35.24/35.63	tff('122', plain,
35.24/35.63	    ((~ sk_X20_(sk_X9_(sk_X20_), sk_X10_(sk_X20_))
35.24/35.63	      | sk_X20_(sk_X11_(sk_X20_), sk_X12_(sk_X20_))))
35.24/35.63	      <= ((![X102 : ($i * $i) > $o]:
35.24/35.63	             (X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	              | X102(sk_X6_, sk_X7_)
35.24/35.63	              | ~ X102(sk_X9_(X102), sk_X10_(X102))))),
35.24/35.63	    inference('sup-', [status(thm)], ['121', '47'])).
35.24/35.63	tff('123', plain,
35.24/35.63	    (~ sk_X20_(sk_X9_(sk_X20_), sk_X10_(sk_X20_)))
35.24/35.63	      <= (~ (sk_X20_(sk_X9_(sk_X20_), sk_X10_(sk_X20_)))),
35.24/35.63	    inference('split', [status(esa)], ['122'])).
35.24/35.63	tff('124', plain,
35.24/35.63	    ~ (sk_X3_(sk_X9_(sk_X20_), sk_X10_(sk_X20_))) | 
35.24/35.63	    (sk_X20_(sk_X9_(sk_X20_), sk_X10_(sk_X20_))),
35.24/35.63	    inference('sup-', [status(thm)], ['117', '123'])).
35.24/35.63	tff('125', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('126', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['125'])).
35.24/35.63	tff('127', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['126', '9'])).
35.24/35.63	tff('128', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102))))
35.24/35.63	      <= ((![X102 : ($i * $i) > $o]:
35.24/35.63	             (X102(sk_X6_, sk_X7_)
35.24/35.63	              | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	              | ~ X102(sk_X9_(X102), sk_X10_(X102))))),
35.24/35.63	    inference('split', [status(esa)], ['127'])).
35.24/35.63	tff('129', plain,
35.24/35.63	    ((~ sk_X20_(sk_X9_(sk_X20_), sk_X10_(sk_X20_))
35.24/35.63	      | sk_X20_(sk_X12_(sk_X20_), sk_X13_(sk_X20_))))
35.24/35.63	      <= ((![X102 : ($i * $i) > $o]:
35.24/35.63	             (X102(sk_X6_, sk_X7_)
35.24/35.63	              | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	              | ~ X102(sk_X9_(X102), sk_X10_(X102))))),
35.24/35.63	    inference('sup-', [status(thm)], ['128', '47'])).
35.24/35.63	tff('130', plain,
35.24/35.63	    ~ (sk_X20_(sk_X9_(sk_X20_), sk_X10_(sk_X20_))) | 
35.24/35.63	    (sk_X20_(sk_X12_(sk_X20_), sk_X13_(sk_X20_))) | 
35.24/35.63	    ~
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['129'])).
35.24/35.63	tff('131', plain,
35.24/35.63	    ~ (sk_X20_(sk_X9_(sk_X20_), sk_X10_(sk_X20_))) | 
35.24/35.63	    (sk_X20_(sk_X11_(sk_X20_), sk_X12_(sk_X20_))) | 
35.24/35.63	    ~
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['122'])).
35.24/35.63	tff('132', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('133', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['132'])).
35.24/35.63	tff('134', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['133', '9'])).
35.24/35.63	tff('135', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102))))
35.24/35.63	      <= ((![X102 : ($i * $i) > $o]:
35.24/35.63	             (X102(sk_X6_, sk_X7_)
35.24/35.63	              | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	              | ~ X102(sk_X9_(X102), sk_X10_(X102))))),
35.24/35.63	    inference('split', [status(esa)], ['134'])).
35.24/35.63	tff('136', plain,
35.24/35.63	    ((~ sk_X20_(sk_X9_(sk_X20_), sk_X10_(sk_X20_))
35.24/35.63	      | ~ sk_X20_(sk_X11_(sk_X20_), sk_X13_(sk_X20_))))
35.24/35.63	      <= ((![X102 : ($i * $i) > $o]:
35.24/35.63	             (X102(sk_X6_, sk_X7_)
35.24/35.63	              | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	              | ~ X102(sk_X9_(X102), sk_X10_(X102))))),
35.24/35.63	    inference('sup-', [status(thm)], ['135', '47'])).
35.24/35.63	tff('137', plain,
35.24/35.63	    ~ (sk_X20_(sk_X11_(sk_X20_), sk_X13_(sk_X20_))) | 
35.24/35.63	    ~ (sk_X20_(sk_X9_(sk_X20_), sk_X10_(sk_X20_))) | 
35.24/35.63	    ~
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['136'])).
35.24/35.63	tff('138', plain,
35.24/35.63	    ~ (sk_X20_(sk_X9_(sk_X20_), sk_X10_(sk_X20_))) | 
35.24/35.63	    ~
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))) | 
35.24/35.63	    ~
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))) | 
35.24/35.63	    ~
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))),
35.24/35.63	    inference('sat_resolution', [status(thm)], ['64', '130', '131', '137'])).
35.24/35.63	tff('139', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('140', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['139'])).
35.24/35.63	tff('141', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['140', '9'])).
35.24/35.63	tff('142', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['141'])).
35.24/35.63	tff('143', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('144', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['143'])).
35.24/35.63	tff('145', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['144', '9'])).
35.24/35.63	tff('146', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['145'])).
35.24/35.63	tff('147', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('148', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['147'])).
35.24/35.63	tff('149', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['148', '9'])).
35.24/35.63	tff('150', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['149'])).
35.24/35.63	tff('151', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('152', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['151'])).
35.24/35.63	tff('153', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['152', '9'])).
35.24/35.63	tff('154', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | X102(sk_X12_(X102), sk_X13_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['153'])).
35.24/35.63	tff('155', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_))),
35.24/35.63	    inference('split', [status(esa)], ['28'])).
35.24/35.63	tff('156', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))),
35.24/35.63	    inference('sat_resolution', [status(thm)],
35.24/35.63	              ['64', '65', '110', '111', '115', '124', '138', '142', '146', 
35.24/35.63	               '150', '154', '155'])).
35.24/35.63	tff('157', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('158', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['157'])).
35.24/35.63	tff('159', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['158', '9'])).
35.24/35.63	tff('160', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | X103(sk_X18_(X103), sk_X19_(X103)))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['159'])).
35.24/35.63	tff('161', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('162', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['161'])).
35.24/35.63	tff('163', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['162', '9'])).
35.24/35.63	tff('164', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))) | 
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X17_(X103), sk_X19_(X103)))),
35.24/35.63	    inference('split', [status(esa)], ['163'])).
35.24/35.63	tff('165', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('166', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['165'])).
35.24/35.63	tff('167', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['166', '9'])).
35.24/35.63	tff('168', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))) | 
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))),
35.24/35.63	    inference('split', [status(esa)], ['167'])).
35.24/35.63	tff('169', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('170', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['169'])).
35.24/35.63	tff('171', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['170', '9'])).
35.24/35.63	tff('172', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))) | 
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))),
35.24/35.63	    inference('split', [status(esa)], ['171'])).
35.24/35.63	tff('173', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['134'])).
35.24/35.63	tff('174', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X11_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))),
35.24/35.63	    inference('sat_resolution', [status(thm)],
35.24/35.63	              ['32', '72', '41', '75', '84', '88', '156', '160', '164', 
35.24/35.63	               '168', '172', '173'])).
35.24/35.63	tff('175', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('176', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['175'])).
35.24/35.63	tff('177', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['176', '9'])).
35.24/35.63	tff('178', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X17_(X103), sk_X19_(X103)))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['177'])).
35.24/35.63	tff('179', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('180', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['179'])).
35.24/35.63	tff('181', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['180', '9'])).
35.24/35.63	tff('182', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X17_(X103), sk_X19_(X103)))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['181'])).
35.24/35.63	tff('183', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('184', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['183'])).
35.24/35.63	tff('185', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | ~ X103(sk_X17_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['184', '9'])).
35.24/35.63	tff('186', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X17_(X103), sk_X19_(X103)))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | X102(sk_X12_(X102), sk_X13_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['185'])).
35.24/35.63	tff('187', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X17_(X103), sk_X19_(X103)))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_))),
35.24/35.63	    inference('split', [status(esa)], ['35'])).
35.24/35.63	tff('188', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X17_(X103), sk_X19_(X103)))),
35.24/35.63	    inference('sat_resolution', [status(thm)],
35.24/35.63	              ['64', '65', '110', '111', '115', '124', '138', '174', '178', 
35.24/35.63	               '182', '186', '187'])).
35.24/35.63	tff('189', plain, ~ (sk_X26_(sk_X17_(sk_X26_), sk_X19_(sk_X26_))),
35.24/35.63	    inference('sat_resolution', [status(thm)], ['41', '188', '86', '156'])).
35.24/35.63	tff('190', plain,
35.24/35.63	    (sk_X26_(sk_X17_(sk_X26_), sk_X18_(sk_X26_))) | 
35.24/35.63	    ~
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_))) | 
35.24/35.63	    (sk_X3_(sk_X15_(sk_X26_), sk_X16_(sk_X26_))),
35.24/35.63	    inference('split', [status(esa)], ['21'])).
35.24/35.63	tff('191', plain, ~ (sk_X20_(sk_X11_(sk_X20_), sk_X13_(sk_X20_))),
35.24/35.63	    inference('sat_resolution', [status(thm)],
35.24/35.63	              ['124', '137', '174', '65', '110'])).
35.24/35.63	tff('192', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('193', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['192'])).
35.24/35.63	tff('194', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['193', '9'])).
35.24/35.63	tff('195', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))) | 
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))),
35.24/35.63	    inference('split', [status(esa)], ['194'])).
35.24/35.63	tff('196', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('197', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['196'])).
35.24/35.63	tff('198', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['197', '9'])).
35.24/35.63	tff('199', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))) | 
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))),
35.24/35.63	    inference('split', [status(esa)], ['198'])).
35.24/35.63	tff('200', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('201', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['200'])).
35.24/35.63	tff('202', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['201', '9'])).
35.24/35.63	tff('203', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | X103(sk_X18_(X103), sk_X19_(X103)))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['202'])).
35.24/35.63	tff('204', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['120'])).
35.24/35.63	tff('205', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))),
35.24/35.63	    inference('sat_resolution', [status(thm)],
35.24/35.63	              ['32', '72', '75', '41', '188', '84', '88', '156', '195', 
35.24/35.63	               '199', '203', '204'])).
35.24/35.63	tff('206', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('207', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['206'])).
35.24/35.63	tff('208', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['207', '9'])).
35.24/35.63	tff('209', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))) | 
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))),
35.24/35.63	    inference('split', [status(esa)], ['208'])).
35.24/35.63	tff('210', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('211', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['210'])).
35.24/35.63	tff('212', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['211', '9'])).
35.24/35.63	tff('213', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))) | 
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))),
35.24/35.63	    inference('split', [status(esa)], ['212'])).
35.24/35.63	tff('214', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('215', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['214'])).
35.24/35.63	tff('216', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | ~ X102(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['215', '9'])).
35.24/35.63	tff('217', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | X103(sk_X18_(X103), sk_X19_(X103)))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['216'])).
35.24/35.63	tff('218', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['127'])).
35.24/35.63	tff('219', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (X102(sk_X6_, sk_X7_)
35.24/35.63	        | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	        | ~ X102(sk_X9_(X102), sk_X10_(X102)))),
35.24/35.63	    inference('sat_resolution', [status(thm)],
35.24/35.63	              ['32', '72', '75', '41', '188', '84', '88', '156', '209', 
35.24/35.63	               '213', '217', '218'])).
35.24/35.63	tff('220', plain, ~ (sk_X20_(sk_X9_(sk_X20_), sk_X10_(sk_X20_))),
35.24/35.63	    inference('sat_resolution', [status(thm)], ['138', '205', '174', '219'])).
35.24/35.63	tff('221', plain, ~ (sk_X3_(sk_X9_(sk_X20_), sk_X10_(sk_X20_))),
35.24/35.63	    inference('sat_resolution', [status(thm)], ['124', '220'])).
35.24/35.63	tff('222', plain,
35.24/35.63	    (sk_X20_(sk_X11_(sk_X20_), sk_X12_(sk_X20_))) | 
35.24/35.63	    ~
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_))) | 
35.24/35.63	    (sk_X3_(sk_X9_(sk_X20_), sk_X10_(sk_X20_))),
35.24/35.63	    inference('split', [status(esa)], ['52'])).
35.24/35.63	tff('223', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('224', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['223'])).
35.24/35.63	tff('225', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['224', '9'])).
35.24/35.63	tff('226', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | X102(sk_X12_(X102), sk_X13_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['225'])).
35.24/35.63	tff('227', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_))),
35.24/35.63	    inference('split', [status(esa)], ['10'])).
35.24/35.63	tff('228', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X7_, sk_X6_)
35.24/35.63	        | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))),
35.24/35.63	    inference('sat_resolution', [status(thm)],
35.24/35.63	              ['64', '191', '111', '221', '222', '221', '226', '227'])).
35.24/35.63	tff('229', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('230', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['229'])).
35.24/35.63	tff('231', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	       | ~ X103(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['230', '9'])).
35.24/35.63	tff('232', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | X102(sk_X12_(X102), sk_X13_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['231'])).
35.24/35.63	tff('233', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_))),
35.24/35.63	    inference('split', [status(esa)], ['80'])).
35.24/35.63	tff('234', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | ~ X103(sk_X15_(X103), sk_X16_(X103)))),
35.24/35.63	    inference('sat_resolution', [status(thm)],
35.24/35.63	              ['64', '191', '111', '221', '222', '221', '232', '233'])).
35.24/35.63	tff('235', plain, ~ (sk_X26_(sk_X15_(sk_X26_), sk_X16_(sk_X26_))),
35.24/35.63	    inference('sat_resolution', [status(thm)], ['88', '228', '156', '234'])).
35.24/35.63	tff('236', plain, ~ (sk_X3_(sk_X15_(sk_X26_), sk_X16_(sk_X26_))),
35.24/35.63	    inference('sat_resolution', [status(thm)], ['84', '235'])).
35.24/35.63	tff('237', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | X102(sk_X12_(X102), sk_X13_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['44'])).
35.24/35.63	tff('238', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | X103(sk_X18_(X103), sk_X19_(X103)))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_))),
35.24/35.63	    inference('split', [status(esa)], ['68'])).
35.24/35.63	tff('239', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_))),
35.24/35.63	    inference('split', [status(esa)], ['17'])).
35.24/35.63	tff('240', plain,
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X11_(X102), sk_X12_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_))),
35.24/35.63	    inference('sat_resolution', [status(thm)],
35.24/35.63	              ['32', '189', '72', '236', '190', '236', '238', '239'])).
35.24/35.63	tff('241', plain, (sk_X20_(sk_X11_(sk_X20_), sk_X12_(sk_X20_))),
35.24/35.63	    inference('sat_resolution', [status(thm)], ['222', '221', '240'])).
35.24/35.63	tff('242', plain, ~ (sk_X20_(sk_X12_(sk_X20_), sk_X13_(sk_X20_))),
35.24/35.63	    inference('sat_resolution', [status(thm)], ['64', '191', '241'])).
35.24/35.63	tff('243', plain,
35.24/35.63	    ~
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | X102(sk_X12_(X102), sk_X13_(X102)))),
35.24/35.63	    inference('sat_resolution', [status(thm)], ['111', '221', '242'])).
35.24/35.63	tff('244', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X17_(X103), sk_X18_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_))),
35.24/35.63	    inference('sat_resolution', [status(thm)], ['237', '243'])).
35.24/35.63	tff('245', plain, (sk_X26_(sk_X17_(sk_X26_), sk_X18_(sk_X26_))),
35.24/35.63	    inference('sat_resolution', [status(thm)], ['190', '236', '244'])).
35.24/35.63	tff('246', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (sk_X6_ = sk_X7_
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | sk_X7_ = sk_X6_
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | X103(sk_X7_, sk_X6_)),
35.24/35.63	    inference('cnf', [status(esa)], [zf_stmt_1])).
35.24/35.63	tff('247', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	       | sk_X6_ = sk_X7_),
35.24/35.63	    inference('simplify', [status(thm)], ['246'])).
35.24/35.63	tff('248', plain,
35.24/35.63	    ![X102 : ($i * $i) > $o, X103 : ($i * $i) > $o]:
35.24/35.63	      (X103(sk_X7_, sk_X6_)
35.24/35.63	       | X103(sk_X18_(X103), sk_X19_(X103))
35.24/35.63	       | sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	       | X102(sk_X6_, sk_X7_)
35.24/35.63	       | X102(sk_X12_(X102), sk_X13_(X102))
35.24/35.63	       | sk_X2_(sk_X9_(X102), sk_X10_(X102))),
35.24/35.63	    inference('simplify_reflect-', [status(thm)], ['247', '9'])).
35.24/35.63	tff('249', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | X103(sk_X18_(X103), sk_X19_(X103)))) | 
35.24/35.63	    (![X102 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X9_(X102), sk_X10_(X102))
35.24/35.63	        | X102(sk_X6_, sk_X7_)
35.24/35.63	        | X102(sk_X12_(X102), sk_X13_(X102)))),
35.24/35.63	    inference('split', [status(esa)], ['248'])).
35.24/35.63	tff('250', plain,
35.24/35.63	    (![X103 : ($i * $i) > $o]:
35.24/35.63	       (sk_X2_(sk_X15_(X103), sk_X16_(X103))
35.24/35.63	        | X103(sk_X7_, sk_X6_)
35.24/35.63	        | X103(sk_X18_(X103), sk_X19_(X103)))),
35.24/35.63	    inference('sat_resolution', [status(thm)], ['249', '243'])).
35.24/35.63	tff('251', plain, (sk_X26_(sk_X18_(sk_X26_), sk_X19_(sk_X26_))),
35.24/35.63	    inference('sat_resolution', [status(thm)], ['72', '236', '250'])).
35.24/35.63	tff('252', plain, $false,
35.24/35.63	    inference('sat_resolution', [status(thm)], ['32', '189', '245', '251'])).
35.24/35.63	
35.24/35.63	% SZS output end Refutation
35.24/35.63	% Zipperpin 1.5 exiting
35.24/35.64	EOF