0.02/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.09/0.13	% Command    : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.FrXv0FVTyF
0.13/0.34	% Computer   : n002.cluster.edu
0.13/0.34	% Model      : x86_64 x86_64
0.13/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory     : 8042.1875MB
0.13/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 1200
0.13/0.34	% DateTime   : Tue Jul 13 16:00:48 EDT 2021
0.13/0.35	% CPUTime    : 
0.13/0.35	% Running portfolio for 120 s
0.13/0.35	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.13/0.35	% Number of cores: 8
0.13/0.35	% Python version: Python 3.6.8
0.13/0.35	% Running in HO mode
0.47/0.57	% Estimated wc time : 1286
0.47/0.57	% Estimated cpu time (7 cpus) : 183.71428571428572
0.49/0.67	% /export/starexec/sandbox/solver/bin/lams/s6.sh running for 21s
0.49/0.67	% /export/starexec/sandbox/solver/bin/lams/new_b3.2.norw.sh running for 15s
0.49/0.67	% /export/starexec/sandbox/solver/bin/lams/b.rpo.sh running for 21s
0.49/0.67	% /export/starexec/sandbox/solver/bin/lams/s6.ds.sh running for 10s
0.49/0.67	% /export/starexec/sandbox/solver/bin/lams/c.s.2.sh running for 68s
0.49/0.67	% /export/starexec/sandbox/solver/bin/lams/old_b3.avatar.sh running for 15s
0.49/0.68	% /export/starexec/sandbox/solver/bin/lams/c.easy.sh running for 26s
69.47/10.60	% /export/starexec/sandbox/solver/bin/lams/old_sp2.sh running for 17s
87.15/13.08	% Solved by lams/new_b3.2.norw.sh.
87.15/13.08	% done 218 iterations in 12.373s
87.15/13.08	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
87.15/13.08	% SZS output start Refutation
87.15/13.08	tff(conj_0, conjecture,
87.15/13.08	  (relati2102071307_hoare(p,c,c2,q) <=>
87.15/13.08	   (relati2102071307_hoare(p,c,skip,relati1310524937decomp(p,c,c2,q)) & 
87.15/13.08	    relati2102071307_hoare(relati1310524937decomp(p,c,c2,q),skip,c2,q)))).
87.15/13.08	tff(zf_stmt_0, negated_conjecture,
87.15/13.08	  (~
87.15/13.08	    (relati2102071307_hoare(p,c,c2,q) <=>
87.15/13.08	     (relati2102071307_hoare(p,c,skip,relati1310524937decomp(p,c,c2,q)) & 
87.15/13.08	      relati2102071307_hoare(relati1310524937decomp(p,c,c2,q),skip,c2,q))))).
87.15/13.08	tff('0', plain,
87.15/13.08	    relati2102071307_hoare(p, c, c2, q)
87.15/13.08	     != (relati2102071307_hoare(p, c, skip, 
87.15/13.08	           relati1310524937decomp(p, c, c2, q)) &
87.15/13.08	         relati2102071307_hoare(relati1310524937decomp(p, c, c2, q), skip, 
87.15/13.08	           c2, q)),
87.15/13.08	    inference('cnf', [status(esa)], [zf_stmt_0])).
87.15/13.08	tff('1', plain,
87.15/13.08	    (~ relati2102071307_hoare(p, c, c2, q)
87.15/13.08	     | ~ (relati2102071307_hoare(p, c, skip, 
87.15/13.08	            relati1310524937decomp(p, c, c2, q)) &
87.15/13.08	          relati2102071307_hoare(relati1310524937decomp(p, c, c2, q), skip, 
87.15/13.08	            c2, q))),
87.15/13.08	    inference('eq_elim', [status(thm)], ['0'])).
87.15/13.08	tff('2', plain,
87.15/13.08	    (~ relati2102071307_hoare(p, c, skip, 
87.15/13.08	         relati1310524937decomp(p, c, c2, q))
87.15/13.08	     | ~ relati2102071307_hoare(relati1310524937decomp(p, c, c2, q), skip, 
87.15/13.08	           c2, q)
87.15/13.08	     | ~ relati2102071307_hoare(p, c, c2, q)),
87.15/13.08	    inference('lazy_cnf_and', [status(thm)], ['1'])).
87.15/13.08	tff('3', plain,
87.15/13.08	    relati2102071307_hoare(p, c, c2, q)
87.15/13.08	     != (relati2102071307_hoare(p, c, skip, 
87.15/13.08	           relati1310524937decomp(p, c, c2, q)) &
87.15/13.08	         relati2102071307_hoare(relati1310524937decomp(p, c, c2, q), skip, 
87.15/13.08	           c2, q)),
87.15/13.08	    inference('cnf', [status(esa)], [zf_stmt_0])).
87.15/13.08	tff('4', plain,
87.15/13.08	    ( relati2102071307_hoare(p, c, c2, q)
87.15/13.08	     |  (relati2102071307_hoare(p, c, skip, 
87.15/13.08	           relati1310524937decomp(p, c, c2, q)) &
87.15/13.08	         relati2102071307_hoare(relati1310524937decomp(p, c, c2, q), skip, 
87.15/13.08	           c2, q))),
87.15/13.08	    inference('eq_elim', [status(thm)], ['3'])).
87.15/13.08	tff('5', plain,
87.15/13.08	    ( relati2102071307_hoare(p, c, skip, relati1310524937decomp(p, c, c2, q))
87.15/13.08	     |  relati2102071307_hoare(p, c, c2, q)),
87.15/13.08	    inference('lazy_cnf_and', [status(thm)], ['4'])).
87.15/13.08	tff(fact_0_soundness, axiom,
87.15/13.08	  (![P:(((list_char > int) * (list_char > int)) > $o),C:com,C2:com,
87.15/13.08	     Q:(((list_char > int) * (list_char > int)) > $o)]:
87.15/13.08	     (relati2102071307_hoare(P,C,C2,Q) => relati775585786_valid(P,C,C2,Q)))).
87.15/13.08	tff('6', plain,
87.15/13.08	     (!!((^[Y0 : (list_char > int * list_char > int) > $o]:
87.15/13.08	            (!!((^[Y1 : com]:
87.15/13.08	                   (!!((^[Y2 : com]:
87.15/13.08	                          (!!((^[Y3 : (list_char > int * list_char > int) > $o]:
87.15/13.08	                                 (relati2102071307_hoare(Y0, Y1, Y2, Y3) =>
87.15/13.08	                                  relati775585786_valid(Y0, Y1, Y2, Y3)))))))))))))),
87.15/13.08	    inference('cnf', [status(esa)], [fact_0_soundness])).
87.15/13.08	tff('7', plain,
87.15/13.08	     (!!(($B(!!, 
87.15/13.08	          ($B(($B(!!)), 
87.15/13.08	           ($B(($B(($B(!!)))), 
87.15/13.08	            ($S(($B(S, 
87.15/13.08	                 ($B(($B(S)), 
87.15/13.08	                  ($B(($B(($B(S)))), 
87.15/13.08	                   ($B(($B(($B(($B(=>)))))), relati2102071307_hoare)))))))), 
87.15/13.08	             relati775585786_valid)))))))))),
87.15/13.08	    inference('lams2combs', [status(thm)], ['6'])).
87.15/13.08	tff('8', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o]:
87.15/13.08	       (!!(($B(!!, 
87.15/13.08	            ($B(($B(!!)), 
87.15/13.08	             ($S(($B(S, 
87.15/13.08	                  ($B(($B(S)), 
87.15/13.08	                   ($B(($B(($B(=>)))), relati2102071307_hoare(X1))))))), 
87.15/13.08	              relati775585786_valid(X1))))))))),
87.15/13.08	    inference('lazy_cnf_forall', [status(thm)], ['7'])).
87.15/13.08	tff('9', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com]:
87.15/13.08	       (!!(($B(!!, 
87.15/13.08	            ($S(($B(S, ($B(($B(=>)), relati2102071307_hoare(X1, X2))))), 
87.15/13.08	             relati775585786_valid(X1, X2))))))),
87.15/13.08	    inference('lazy_cnf_forall', [status(thm)], ['8'])).
87.15/13.08	tff('10', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, X3 : com]:
87.15/13.08	       (!!(($S(($B(=>, relati2102071307_hoare(X1, X2, X3))), 
87.15/13.08	            relati775585786_valid(X1, X2, X3))))),
87.15/13.08	    inference('lazy_cnf_forall', [status(thm)], ['9'])).
87.15/13.08	tff('11', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, X3 : com, 
87.15/13.08	      X4 : (list_char > int * list_char > int) > $o]:
87.15/13.08	       (relati2102071307_hoare(X1, X2, X3, X4) =>
87.15/13.08	        relati775585786_valid(X1, X2, X3, X4)),
87.15/13.08	    inference('lazy_cnf_forall', [status(thm)], ['10'])).
87.15/13.08	tff('12', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, X3 : com, 
87.15/13.08	      X4 : (list_char > int * list_char > int) > $o]:
87.15/13.08	      (~ relati2102071307_hoare(X1, X2, X3, X4)
87.15/13.08	       |  relati775585786_valid(X1, X2, X3, X4)),
87.15/13.08	    inference('lazy_cnf_imply', [status(thm)], ['11'])).
87.15/13.08	tff('13', plain,
87.15/13.08	    ( relati2102071307_hoare(p, c, c2, q)
87.15/13.08	     |  relati775585786_valid(p, c, skip, 
87.15/13.08	          relati1310524937decomp(p, c, c2, q))),
87.15/13.08	    inference('sup-', [status(thm)], ['5', '12'])).
87.15/13.08	tff('14', plain,
87.15/13.08	    ( relati2102071307_hoare(relati1310524937decomp(p, c, c2, q), skip, c2, 
87.15/13.08	        q)
87.15/13.08	     |  relati2102071307_hoare(p, c, c2, q)),
87.15/13.08	    inference('lazy_cnf_and', [status(thm)], ['4'])).
87.15/13.08	tff('15', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, X3 : com, 
87.15/13.08	      X4 : (list_char > int * list_char > int) > $o]:
87.15/13.08	      (~ relati2102071307_hoare(X1, X2, X3, X4)
87.15/13.08	       |  relati775585786_valid(X1, X2, X3, X4)),
87.15/13.08	    inference('lazy_cnf_imply', [status(thm)], ['11'])).
87.15/13.08	tff('16', plain,
87.15/13.08	    ( relati2102071307_hoare(p, c, c2, q)
87.15/13.08	     |  relati775585786_valid(relati1310524937decomp(p, c, c2, q), skip, c2, 
87.15/13.08	          q)),
87.15/13.08	    inference('sup-', [status(thm)], ['14', '15'])).
87.15/13.08	tff(fact_9_ir__valid__decomp2, axiom,
87.15/13.08	  (![P:(((list_char > int) * (list_char > int)) > $o),C:com,
87.15/13.08	     R:(((list_char > int) * (list_char > int)) > $o),C2:com,
87.15/13.08	     Q:(((list_char > int) * (list_char > int)) > $o)]:
87.15/13.08	     ((relati775585786_valid(R,skip,C2,Q) & relati775585786_valid(P,C,skip,R)) =>
87.15/13.08	      relati775585786_valid(P,C,C2,Q)))).
87.15/13.08	tff('17', plain,
87.15/13.08	     (!!((^[Y0 : (list_char > int * list_char > int) > $o]:
87.15/13.08	            (!!((^[Y1 : com]:
87.15/13.08	                   (!!((^[Y2 : (list_char > int * list_char > int) > $o]:
87.15/13.08	                          (!!((^[Y3 : com]:
87.15/13.08	                                 (!!((^[Y4 : (list_char > int * 
87.15/13.08	                                              list_char > int) > $o]:
87.15/13.08	                                        ((relati775585786_valid(Y2, skip, 
87.15/13.08	                                            Y3, Y4) &
87.15/13.08	                                          relati775585786_valid(Y0, Y1, 
87.15/13.08	                                            skip, Y2)) =>
87.15/13.08	                                         relati775585786_valid(Y0, Y1, Y3, 
87.15/13.08	                                           Y4))))))))))))))))),
87.15/13.08	    inference('cnf', [status(esa)], [fact_9_ir__valid__decomp2])).
87.15/13.08	tff('18', plain,
87.15/13.08	     (!!(($B(!!, 
87.15/13.08	          ($B(($B(!!)), 
87.15/13.08	           ($B(($B(($B(!!)))), 
87.15/13.08	            ($B(($B(($B(($B(!!)))))), 
87.15/13.08	             ($S(($B(S, 
87.15/13.08	                  ($B(($B(C)), 
87.15/13.08	                   ($B(($B(($B(S)))), 
87.15/13.08	                    ($B(($B(($B(($B(S)))))), 
87.15/13.08	                     ($B(($B(($B(($B(($B(=>)))))))), 
87.15/13.08	                      ($B(($B(($S(($B(C, 
87.15/13.08	                                   ($B(($B(C)), 
87.15/13.08	                                    ($B(($B(($B(&)))), 
87.15/13.08	                                     ($C(relati775585786_valid, skip)))))))))))), 
87.15/13.08	                       ($C(($B(C, relati775585786_valid)), skip)))))))))))))), 
87.15/13.08	              relati775585786_valid)))))))))))),
87.15/13.08	    inference('lams2combs', [status(thm)], ['17'])).
87.15/13.08	tff('19', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o]:
87.15/13.08	       (!!(($B(!!, 
87.15/13.08	            ($B(($B(!!)), 
87.15/13.08	             ($B(($B(($B(!!)))), 
87.15/13.08	              ($S(($B(C, 
87.15/13.08	                   ($B(($B(S)), 
87.15/13.08	                    ($B(($B(($B(S)))), 
87.15/13.08	                     ($B(($B(($B(($B(=>)))))), 
87.15/13.08	                      ($B(($S(($B(C, 
87.15/13.08	                               ($B(($B(C)), 
87.15/13.08	                                ($B(($B(($B(&)))), 
87.15/13.08	                                 ($C(relati775585786_valid, skip)))))))))), 
87.15/13.08	                       ($C(relati775585786_valid(X1), skip)))))))))))), 
87.15/13.08	               relati775585786_valid(X1))))))))))),
87.15/13.08	    inference('lazy_cnf_forall', [status(thm)], ['18'])).
87.15/13.08	tff('20', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com]:
87.15/13.08	       (!!(($B(!!, 
87.15/13.08	            ($B(($B(!!)), 
87.15/13.08	             ($C(($B(S, 
87.15/13.08	                  ($B(($B(S)), 
87.15/13.08	                   ($B(($B(($B(=>)))), 
87.15/13.08	                    ($S(($B(C, 
87.15/13.08	                         ($B(($B(C)), 
87.15/13.08	                          ($B(($B(($B(&)))), 
87.15/13.08	                           ($C(relati775585786_valid, skip)))))))), 
87.15/13.08	                     relati775585786_valid(X1, X2, skip))))))))), 
87.15/13.08	              relati775585786_valid(X1, X2))))))))),
87.15/13.08	    inference('lazy_cnf_forall', [status(thm)], ['19'])).
87.15/13.08	tff('21', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, 
87.15/13.08	      X3 : (list_char > int * list_char > int) > $o]:
87.15/13.08	       (!!(($B(!!, 
87.15/13.08	            ($S(($B(S, 
87.15/13.08	                 ($B(($B(=>)), 
87.15/13.08	                  ($C(($B(C, ($B(($B(&)), relati775585786_valid(X3, skip))))), 
87.15/13.08	                   relati775585786_valid(X1, X2, skip, X3))))))), 
87.15/13.08	             relati775585786_valid(X1, X2))))))),
87.15/13.08	    inference('lazy_cnf_forall', [status(thm)], ['20'])).
87.15/13.08	tff('22', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, 
87.15/13.08	      X3 : (list_char > int * list_char > int) > $o, X4 : com]:
87.15/13.08	       (!!(($S(($B(=>, 
87.15/13.08	                ($C(($B(&, relati775585786_valid(X3, skip, X4))), 
87.15/13.08	                 relati775585786_valid(X1, X2, skip, X3))))), 
87.15/13.08	            relati775585786_valid(X1, X2, X4))))),
87.15/13.08	    inference('lazy_cnf_forall', [status(thm)], ['21'])).
87.15/13.08	tff('23', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, 
87.15/13.08	      X3 : (list_char > int * list_char > int) > $o, X4 : com, 
87.15/13.08	      X5 : (list_char > int * list_char > int) > $o]:
87.15/13.08	       ((relati775585786_valid(X3, skip, X4, X5) &
87.15/13.08	         relati775585786_valid(X1, X2, skip, X3)) =>
87.15/13.08	        relati775585786_valid(X1, X2, X4, X5)),
87.15/13.08	    inference('lazy_cnf_forall', [status(thm)], ['22'])).
87.15/13.08	tff('24', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, 
87.15/13.08	      X3 : (list_char > int * list_char > int) > $o, X4 : com, 
87.15/13.08	      X5 : (list_char > int * list_char > int) > $o]:
87.15/13.08	      (~ (relati775585786_valid(X3, skip, X4, X5) &
87.15/13.08	          relati775585786_valid(X1, X2, skip, X3))
87.15/13.08	       |  relati775585786_valid(X1, X2, X4, X5)),
87.15/13.08	    inference('lazy_cnf_imply', [status(thm)], ['23'])).
87.15/13.08	tff('25', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, 
87.15/13.08	      X3 : (list_char > int * list_char > int) > $o, X4 : com, 
87.15/13.08	      X5 : (list_char > int * list_char > int) > $o]:
87.15/13.08	      (~ relati775585786_valid(X3, skip, X4, X5)
87.15/13.08	       | ~ relati775585786_valid(X1, X2, skip, X3)
87.15/13.08	       |  relati775585786_valid(X1, X2, X4, X5)),
87.15/13.08	    inference('lazy_cnf_and', [status(thm)], ['24'])).
87.15/13.08	tff('26', plain,
87.15/13.08	    ![X0 : com, X1 : (list_char > int * list_char > int) > $o]:
87.15/13.08	      ( relati2102071307_hoare(p, c, c2, q)
87.15/13.08	       |  relati775585786_valid(X1, X0, c2, q)
87.15/13.08	       | ~ relati775585786_valid(X1, X0, skip, 
87.15/13.08	             relati1310524937decomp(p, c, c2, q))),
87.15/13.08	    inference('sup-', [status(thm)], ['16', '25'])).
87.15/13.08	tff('27', plain,
87.15/13.08	    ( relati2102071307_hoare(p, c, c2, q)
87.15/13.08	     |  relati775585786_valid(p, c, c2, q)
87.15/13.08	     |  relati2102071307_hoare(p, c, c2, q)),
87.15/13.08	    inference('sup-', [status(thm)], ['13', '26'])).
87.15/13.08	tff('28', plain,
87.15/13.08	    ( relati775585786_valid(p, c, c2, q)
87.15/13.08	     |  relati2102071307_hoare(p, c, c2, q)),
87.15/13.08	    inference('simplify', [status(thm)], ['27'])).
87.15/13.08	tff(fact_1_completeness, axiom,
87.15/13.08	  (![P:(((list_char > int) * (list_char > int)) > $o),C:com,C2:com,
87.15/13.08	     Q:(((list_char > int) * (list_char > int)) > $o)]:
87.15/13.08	     (relati775585786_valid(P,C,C2,Q) => relati2102071307_hoare(P,C,C2,Q)))).
87.15/13.08	tff('29', plain,
87.15/13.08	     (!!((^[Y0 : (list_char > int * list_char > int) > $o]:
87.15/13.08	            (!!((^[Y1 : com]:
87.15/13.08	                   (!!((^[Y2 : com]:
87.15/13.08	                          (!!((^[Y3 : (list_char > int * list_char > int) > $o]:
87.15/13.08	                                 (relati775585786_valid(Y0, Y1, Y2, Y3) =>
87.15/13.08	                                  relati2102071307_hoare(Y0, Y1, Y2, Y3)))))))))))))),
87.15/13.08	    inference('cnf', [status(esa)], [fact_1_completeness])).
87.15/13.08	tff('30', plain,
87.15/13.08	     (!!(($B(!!, 
87.15/13.08	          ($B(($B(!!)), 
87.15/13.08	           ($B(($B(($B(!!)))), 
87.15/13.08	            ($S(($B(S, 
87.15/13.08	                 ($B(($B(S)), 
87.15/13.08	                  ($B(($B(($B(S)))), 
87.15/13.08	                   ($B(($B(($B(($B(=>)))))), relati775585786_valid)))))))), 
87.15/13.08	             relati2102071307_hoare)))))))))),
87.15/13.08	    inference('lams2combs', [status(thm)], ['29'])).
87.15/13.08	tff('31', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o]:
87.15/13.08	       (!!(($B(!!, 
87.15/13.08	            ($B(($B(!!)), 
87.15/13.08	             ($S(($B(S, 
87.15/13.08	                  ($B(($B(S)), 
87.15/13.08	                   ($B(($B(($B(=>)))), relati775585786_valid(X1))))))), 
87.15/13.08	              relati2102071307_hoare(X1))))))))),
87.15/13.08	    inference('lazy_cnf_forall', [status(thm)], ['30'])).
87.15/13.08	tff('32', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com]:
87.15/13.08	       (!!(($B(!!, 
87.15/13.08	            ($S(($B(S, ($B(($B(=>)), relati775585786_valid(X1, X2))))), 
87.15/13.08	             relati2102071307_hoare(X1, X2))))))),
87.15/13.08	    inference('lazy_cnf_forall', [status(thm)], ['31'])).
87.15/13.08	tff('33', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, X3 : com]:
87.15/13.08	       (!!(($S(($B(=>, relati775585786_valid(X1, X2, X3))), 
87.15/13.08	            relati2102071307_hoare(X1, X2, X3))))),
87.15/13.08	    inference('lazy_cnf_forall', [status(thm)], ['32'])).
87.15/13.08	tff('34', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, X3 : com, 
87.15/13.08	      X4 : (list_char > int * list_char > int) > $o]:
87.15/13.08	       (relati775585786_valid(X1, X2, X3, X4) =>
87.15/13.08	        relati2102071307_hoare(X1, X2, X3, X4)),
87.15/13.08	    inference('lazy_cnf_forall', [status(thm)], ['33'])).
87.15/13.08	tff('35', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, X3 : com, 
87.15/13.08	      X4 : (list_char > int * list_char > int) > $o]:
87.15/13.08	      (~ relati775585786_valid(X1, X2, X3, X4)
87.15/13.08	       |  relati2102071307_hoare(X1, X2, X3, X4)),
87.15/13.08	    inference('lazy_cnf_imply', [status(thm)], ['34'])).
87.15/13.08	tff('36', plain,  relati2102071307_hoare(p, c, c2, q),
87.15/13.08	    inference('clc', [status(thm)], ['28', '35'])).
87.15/13.08	tff('37', plain,
87.15/13.08	    (~ relati2102071307_hoare(p, c, skip, 
87.15/13.08	         relati1310524937decomp(p, c, c2, q))
87.15/13.08	     | ~ relati2102071307_hoare(relati1310524937decomp(p, c, c2, q), skip, 
87.15/13.08	           c2, q)),
87.15/13.08	    inference('demod', [status(thm)], ['2', '36'])).
87.15/13.08	tff('38', plain,  relati2102071307_hoare(p, c, c2, q),
87.15/13.08	    inference('clc', [status(thm)], ['28', '35'])).
87.15/13.08	tff('39', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, X3 : com, 
87.15/13.08	      X4 : (list_char > int * list_char > int) > $o]:
87.15/13.08	      (~ relati2102071307_hoare(X1, X2, X3, X4)
87.15/13.08	       |  relati775585786_valid(X1, X2, X3, X4)),
87.15/13.08	    inference('lazy_cnf_imply', [status(thm)], ['11'])).
87.15/13.08	tff('40', plain,  relati775585786_valid(p, c, c2, q),
87.15/13.08	    inference('sup-', [status(thm)], ['38', '39'])).
87.15/13.08	tff(fact_8_ir__valid__decomp1, axiom,
87.15/13.08	  (![P:(((list_char > int) * (list_char > int)) > $o),C:com,C2:com,
87.15/13.08	     Q:(((list_char > int) * (list_char > int)) > $o)]:
87.15/13.08	     (relati775585786_valid(P,C,C2,Q) =>
87.15/13.08	      (relati775585786_valid(P,C,skip,relati1310524937decomp(P,C,C2,Q)) & 
87.15/13.08	       relati775585786_valid(relati1310524937decomp(P,C,C2,Q),skip,C2,Q))))).
87.15/13.08	tff('41', plain,
87.15/13.08	     (!!((^[Y0 : (list_char > int * list_char > int) > $o]:
87.15/13.08	            (!!((^[Y1 : com]:
87.15/13.08	                   (!!((^[Y2 : com]:
87.15/13.08	                          (!!((^[Y3 : (list_char > int * list_char > int) > $o]:
87.15/13.08	                                 (relati775585786_valid(Y0, Y1, Y2, Y3) =>
87.15/13.08	                                  (relati775585786_valid(Y0, Y1, skip, 
87.15/13.08	                                     relati1310524937decomp(Y0, Y1, Y2, Y3)) &
87.15/13.08	                                   relati775585786_valid(
87.15/13.08	                                     relati1310524937decomp(Y0, Y1, Y2, Y3), 
87.15/13.08	                                     skip, Y2, Y3))))))))))))))),
87.15/13.08	    inference('cnf', [status(esa)], [fact_8_ir__valid__decomp1])).
87.15/13.08	tff('42', plain,
87.15/13.08	     (!!(($B(!!, 
87.15/13.08	          ($B(($B(!!)), 
87.15/13.08	           ($B(($B(($B(!!)))), 
87.15/13.08	            ($S(($B(S, 
87.15/13.08	                 ($B(($B(S)), 
87.15/13.08	                  ($B(($B(($B(S)))), 
87.15/13.08	                   ($B(($B(($B(($B(=>)))))), relati775585786_valid)))))))), 
87.15/13.08	             ($S(($B(S, 
87.15/13.08	                  ($B(($B(S)), 
87.15/13.08	                   ($B(($B(($B(S)))), 
87.15/13.08	                    ($B(($B(($B(($B(&)))))), 
87.15/13.08	                     ($S(($B(S, 
87.15/13.08	                          ($B(($B(B)), 
87.15/13.08	                           ($B(($B(B)), 
87.15/13.08	                            ($C(($B(C, relati775585786_valid)), skip)))))))), 
87.15/13.08	                      relati1310524937decomp)))))))))), 
87.15/13.08	              ($C(($B(C, 
87.15/13.08	                   ($B(($B(C)), 
87.15/13.08	                    ($B(($B(($B(S)))), 
87.15/13.08	                     ($C(($B(C, 
87.15/13.08	                          ($B(($B(S)), 
87.15/13.08	                           ($B(($B(($B(C)))), 
87.15/13.08	                            ($C(($B(C, 
87.15/13.08	                                 ($B(($B(C)), 
87.15/13.08	                                  ($B(($B(($B(C)))), 
87.15/13.08	                                   ($B(($B(($B(($B(relati775585786_valid)))))), 
87.15/13.08	                                    relati1310524937decomp)))))))), 
87.15/13.08	                             skip)))))))), 
87.15/13.08	                      I)))))))), 
87.15/13.08	               I)))))))))))))),
87.15/13.08	    inference('lams2combs', [status(thm)], ['41'])).
87.15/13.08	tff('43', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o]:
87.15/13.08	       (!!(($B(!!, 
87.15/13.08	            ($B(($B(!!)), 
87.15/13.08	             ($S(($B(S, 
87.15/13.08	                  ($B(($B(S)), 
87.15/13.08	                   ($B(($B(($B(=>)))), relati775585786_valid(X1))))))), 
87.15/13.08	              ($S(($B(S, 
87.15/13.08	                   ($B(($B(S)), 
87.15/13.08	                    ($B(($B(($B(&)))), 
87.15/13.08	                     ($S(($B(B, 
87.15/13.08	                          ($B(B, ($C(relati775585786_valid(X1), skip)))))), 
87.15/13.08	                      relati1310524937decomp(X1))))))))), 
87.15/13.08	               ($C(($B(C, 
87.15/13.08	                    ($B(($B(S)), 
87.15/13.08	                     ($C(($B(S, 
87.15/13.08	                          ($B(($B(C)), 
87.15/13.08	                           ($C(($B(C, 
87.15/13.08	                                ($B(($B(C)), 
87.15/13.08	                                 ($B(($B(($B(relati775585786_valid)))), 
87.15/13.08	                                  relati1310524937decomp(X1))))))), 
87.15/13.08	                            skip)))))), 
87.15/13.08	                      I)))))), 
87.15/13.08	                I)))))))))))),
87.15/13.08	    inference('lazy_cnf_forall', [status(thm)], ['42'])).
87.15/13.08	tff('44', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com]:
87.15/13.08	       (!!(($B(!!, 
87.15/13.08	            ($S(($B(S, ($B(($B(=>)), relati775585786_valid(X1, X2))))), 
87.15/13.08	             ($S(($B(S, 
87.15/13.08	                  ($B(($B(&)), 
87.15/13.08	                   ($B(($B(relati775585786_valid(X1, X2, skip))), 
87.15/13.08	                    relati1310524937decomp(X1, X2))))))), 
87.15/13.08	              ($C(($B(S, 
87.15/13.08	                   ($S(($B(C, 
87.15/13.08	                        ($C(($B(C, 
87.15/13.08	                             ($B(($B(relati775585786_valid)), 
87.15/13.08	                              relati1310524937decomp(X1, X2))))), 
87.15/13.08	                         skip)))), 
87.15/13.08	                    I)))), 
87.15/13.08	               I)))))))))),
87.15/13.08	    inference('lazy_cnf_forall', [status(thm)], ['43'])).
87.15/13.08	tff('45', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, X3 : com]:
87.15/13.08	       (!!(($S(($B(=>, relati775585786_valid(X1, X2, X3))), 
87.15/13.08	            ($S(($B(&, 
87.15/13.08	                 ($B(relati775585786_valid(X1, X2, skip), 
87.15/13.08	                  relati1310524937decomp(X1, X2, X3))))), 
87.15/13.08	             ($S(($C(($C(($B(relati775585786_valid, 
87.15/13.08	                          relati1310524937decomp(X1, X2, X3))), 
87.15/13.08	                      skip)), 
87.15/13.08	                  X3)), 
87.15/13.08	              I)))))))),
87.15/13.08	    inference('lazy_cnf_forall', [status(thm)], ['44'])).
87.15/13.08	tff('46', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, X3 : com, 
87.15/13.08	      X4 : (list_char > int * list_char > int) > $o]:
87.15/13.08	       (relati775585786_valid(X1, X2, X3, X4) =>
87.15/13.08	        (relati775585786_valid(X1, X2, skip, 
87.15/13.08	           relati1310524937decomp(X1, X2, X3, X4)) &
87.15/13.08	         relati775585786_valid(relati1310524937decomp(X1, X2, X3, X4), skip, 
87.15/13.08	           X3, X4))),
87.15/13.08	    inference('lazy_cnf_forall', [status(thm)], ['45'])).
87.15/13.08	tff('47', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, X3 : com, 
87.15/13.08	      X4 : (list_char > int * list_char > int) > $o]:
87.15/13.08	      (~ relati775585786_valid(X1, X2, X3, X4)
87.15/13.08	       |  (relati775585786_valid(X1, X2, skip, 
87.15/13.08	             relati1310524937decomp(X1, X2, X3, X4)) &
87.15/13.08	           relati775585786_valid(relati1310524937decomp(X1, X2, X3, X4), 
87.15/13.08	             skip, X3, X4))),
87.15/13.08	    inference('lazy_cnf_imply', [status(thm)], ['46'])).
87.15/13.08	tff('48', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, X3 : com, 
87.15/13.08	      X4 : (list_char > int * list_char > int) > $o]:
87.15/13.08	      ( relati775585786_valid(X1, X2, skip, 
87.15/13.08	          relati1310524937decomp(X1, X2, X3, X4))
87.15/13.08	       | ~ relati775585786_valid(X1, X2, X3, X4)),
87.15/13.08	    inference('lazy_cnf_and', [status(thm)], ['47'])).
87.15/13.08	tff('49', plain,
87.15/13.08	     relati775585786_valid(p, c, skip, relati1310524937decomp(p, c, c2, q)),
87.15/13.08	    inference('sup-', [status(thm)], ['40', '48'])).
87.15/13.08	tff('50', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, X3 : com, 
87.15/13.08	      X4 : (list_char > int * list_char > int) > $o]:
87.15/13.08	      (~ relati775585786_valid(X1, X2, X3, X4)
87.15/13.08	       |  relati2102071307_hoare(X1, X2, X3, X4)),
87.15/13.08	    inference('lazy_cnf_imply', [status(thm)], ['34'])).
87.15/13.08	tff('51', plain,
87.15/13.08	     relati2102071307_hoare(p, c, skip, relati1310524937decomp(p, c, c2, q)),
87.15/13.08	    inference('sup-', [status(thm)], ['49', '50'])).
87.15/13.08	tff('52', plain,
87.15/13.08	    ~ relati2102071307_hoare(relati1310524937decomp(p, c, c2, q), skip, c2, 
87.15/13.08	        q),
87.15/13.08	    inference('demod', [status(thm)], ['37', '51'])).
87.15/13.08	tff('53', plain,  relati775585786_valid(p, c, c2, q),
87.15/13.08	    inference('sup-', [status(thm)], ['38', '39'])).
87.15/13.08	tff('54', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, X3 : com, 
87.15/13.08	      X4 : (list_char > int * list_char > int) > $o]:
87.15/13.08	      ( relati775585786_valid(relati1310524937decomp(X1, X2, X3, X4), skip, 
87.15/13.08	          X3, X4)
87.15/13.08	       | ~ relati775585786_valid(X1, X2, X3, X4)),
87.15/13.08	    inference('lazy_cnf_and', [status(thm)], ['47'])).
87.15/13.08	tff('55', plain,
87.15/13.08	     relati775585786_valid(relati1310524937decomp(p, c, c2, q), skip, c2, q),
87.15/13.08	    inference('sup-', [status(thm)], ['53', '54'])).
87.15/13.08	tff('56', plain,
87.15/13.08	    ![X1 : (list_char > int * list_char > int) > $o, X2 : com, X3 : com, 
87.15/13.08	      X4 : (list_char > int * list_char > int) > $o]:
87.15/13.08	      (~ relati775585786_valid(X1, X2, X3, X4)
87.15/13.08	       |  relati2102071307_hoare(X1, X2, X3, X4)),
87.15/13.08	    inference('lazy_cnf_imply', [status(thm)], ['34'])).
87.15/13.08	tff('57', plain,
87.15/13.08	     relati2102071307_hoare(relati1310524937decomp(p, c, c2, q), skip, c2, q),
87.15/13.08	    inference('sup-', [status(thm)], ['55', '56'])).
87.15/13.08	tff('58', plain, $false, inference('demod', [status(thm)], ['52', '57'])).
87.15/13.08	
87.15/13.08	% SZS output end Refutation
87.15/13.08	
87.15/13.08	
87.15/13.08	% Terminating...
87.38/13.12	% Runner terminated.
87.38/13.13	% Zipperpin 1.5 exiting
87.38/13.13	EOF