TSTP Solution File: LDA002-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LDA002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NibgFFZmzy true
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:05:10 EDT 2023
% Result : Unsatisfiable 3.07s 0.95s
% Output : Refutation 3.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LDA002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NibgFFZmzy true
% 0.12/0.31 % Computer : n032.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Sun Aug 27 01:18:29 EDT 2023
% 0.12/0.31 % CPUTime :
% 0.12/0.31 % Running portfolio for 300 s
% 0.12/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.31 % Number of cores: 8
% 0.12/0.32 % Python version: Python 3.6.8
% 0.12/0.32 % Running in FO mode
% 0.17/0.53 % Total configuration time : 435
% 0.17/0.53 % Estimated wc time : 1092
% 0.17/0.53 % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.60 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.60 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.60 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.61 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.61 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.61 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.65 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.07/0.95 % Solved by fo/fo5.sh.
% 3.07/0.95 % done 250 iterations in 0.316s
% 3.07/0.95 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.07/0.95 % SZS output start Refutation
% 3.07/0.95 thf(n1_type, type, n1: $i).
% 3.07/0.95 thf(u3_type, type, u3: $i).
% 3.07/0.95 thf(b_type, type, b: $i).
% 3.07/0.95 thf(n2_type, type, n2: $i).
% 3.07/0.95 thf(n3_type, type, n3: $i).
% 3.07/0.95 thf(u2_type, type, u2: $i).
% 3.07/0.95 thf(u1_type, type, u1: $i).
% 3.07/0.95 thf(f_type, type, f: $i > $i > $i).
% 3.07/0.95 thf(a_type, type, a: $i).
% 3.07/0.95 thf(uu_type, type, uu: $i).
% 3.07/0.95 thf(u_type, type, u: $i).
% 3.07/0.95 thf(v_type, type, v: $i).
% 3.07/0.95 thf(clause_4, axiom, (( u ) = ( f @ n2 @ n2 ))).
% 3.07/0.95 thf(zip_derived_cl3, plain, (((u) = (f @ n2 @ n2))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_4])).
% 3.07/0.95 thf(zip_derived_cl3, plain, (((u) = (f @ n2 @ n2))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_4])).
% 3.07/0.95 thf(a1, axiom,
% 3.07/0.95 (( f @ X @ ( f @ Y @ Z ) ) = ( f @ ( f @ X @ Y ) @ ( f @ X @ Z ) ))).
% 3.07/0.95 thf(zip_derived_cl0, plain,
% 3.07/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.07/0.95 ((f @ X0 @ (f @ X1 @ X2)) = (f @ (f @ X0 @ X1) @ (f @ X0 @ X2)))),
% 3.07/0.95 inference('cnf', [status(esa)], [a1])).
% 3.07/0.95 thf(zip_derived_cl15, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ n2 @ (f @ X0 @ n2)) = (f @ (f @ n2 @ X0) @ u))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl82, plain, (((f @ n2 @ u) = (f @ (f @ n2 @ n2) @ u))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 3.07/0.95 thf(zip_derived_cl3, plain, (((u) = (f @ n2 @ n2))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_4])).
% 3.07/0.95 thf(clause_8, axiom, (( uu ) = ( f @ u @ u ))).
% 3.07/0.95 thf(zip_derived_cl7, plain, (((uu) = (f @ u @ u))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_8])).
% 3.07/0.95 thf(zip_derived_cl84, plain, (((f @ n2 @ u) = (uu))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl82, zip_derived_cl3, zip_derived_cl7])).
% 3.07/0.95 thf(clause_2, axiom, (( n2 ) = ( f @ n1 @ n1 ))).
% 3.07/0.95 thf(zip_derived_cl1, plain, (((n2) = (f @ n1 @ n1))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_2])).
% 3.07/0.95 thf(zip_derived_cl1, plain, (((n2) = (f @ n1 @ n1))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_2])).
% 3.07/0.95 thf(zip_derived_cl0, plain,
% 3.07/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.07/0.95 ((f @ X0 @ (f @ X1 @ X2)) = (f @ (f @ X0 @ X1) @ (f @ X0 @ X2)))),
% 3.07/0.95 inference('cnf', [status(esa)], [a1])).
% 3.07/0.95 thf(zip_derived_cl17, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ n1 @ (f @ X0 @ n1)) = (f @ (f @ n1 @ X0) @ n2))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl257, plain, (((f @ n1 @ (f @ n1 @ n1)) = (f @ n2 @ n2))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl17])).
% 3.07/0.95 thf(zip_derived_cl1, plain, (((n2) = (f @ n1 @ n1))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_2])).
% 3.07/0.95 thf(zip_derived_cl3, plain, (((u) = (f @ n2 @ n2))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_4])).
% 3.07/0.95 thf(zip_derived_cl258, plain, (((f @ n1 @ n2) = (u))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl257, zip_derived_cl1, zip_derived_cl3])).
% 3.07/0.95 thf(zip_derived_cl15, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ n2 @ (f @ X0 @ n2)) = (f @ (f @ n2 @ X0) @ u))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl265, plain, (((f @ n2 @ u) = (f @ (f @ n2 @ n1) @ u))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl258, zip_derived_cl15])).
% 3.07/0.95 thf(zip_derived_cl84, plain, (((f @ n2 @ u) = (uu))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl82, zip_derived_cl3, zip_derived_cl7])).
% 3.07/0.95 thf(clause_3, axiom, (( n3 ) = ( f @ n2 @ n1 ))).
% 3.07/0.95 thf(zip_derived_cl2, plain, (((n3) = (f @ n2 @ n1))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_3])).
% 3.07/0.95 thf(zip_derived_cl268, plain, (((uu) = (f @ n3 @ u))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl265, zip_derived_cl84, zip_derived_cl2])).
% 3.07/0.95 thf(zip_derived_cl0, plain,
% 3.07/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.07/0.95 ((f @ X0 @ (f @ X1 @ X2)) = (f @ (f @ X0 @ X1) @ (f @ X0 @ X2)))),
% 3.07/0.95 inference('cnf', [status(esa)], [a1])).
% 3.07/0.95 thf(zip_derived_cl271, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ n3 @ (f @ X0 @ u)) = (f @ (f @ n3 @ X0) @ uu))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl3565, plain, (((f @ n3 @ uu) = (f @ (f @ n3 @ n2) @ uu))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl271])).
% 3.07/0.95 thf(zip_derived_cl258, plain, (((f @ n1 @ n2) = (u))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl257, zip_derived_cl1, zip_derived_cl3])).
% 3.07/0.95 thf(zip_derived_cl1, plain, (((n2) = (f @ n1 @ n1))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_2])).
% 3.07/0.95 thf(zip_derived_cl0, plain,
% 3.07/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.07/0.95 ((f @ X0 @ (f @ X1 @ X2)) = (f @ (f @ X0 @ X1) @ (f @ X0 @ X2)))),
% 3.07/0.95 inference('cnf', [status(esa)], [a1])).
% 3.07/0.95 thf(zip_derived_cl27, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ n1 @ (f @ n1 @ X0)) = (f @ n2 @ (f @ n1 @ X0)))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl2, plain, (((n3) = (f @ n2 @ n1))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_3])).
% 3.07/0.95 thf(zip_derived_cl0, plain,
% 3.07/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.07/0.95 ((f @ X0 @ (f @ X1 @ X2)) = (f @ (f @ X0 @ X1) @ (f @ X0 @ X2)))),
% 3.07/0.95 inference('cnf', [status(esa)], [a1])).
% 3.07/0.95 thf(zip_derived_cl26, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ n2 @ (f @ n1 @ X0)) = (f @ n3 @ (f @ n2 @ X0)))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl1164, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ n1 @ (f @ n1 @ X0)) = (f @ n3 @ (f @ n2 @ X0)))),
% 3.07/0.95 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl26])).
% 3.07/0.95 thf(zip_derived_cl1178, plain, (((f @ n1 @ u) = (f @ n3 @ (f @ n2 @ n2)))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl258, zip_derived_cl1164])).
% 3.07/0.95 thf(zip_derived_cl3, plain, (((u) = (f @ n2 @ n2))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_4])).
% 3.07/0.95 thf(zip_derived_cl268, plain, (((uu) = (f @ n3 @ u))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl265, zip_derived_cl84, zip_derived_cl2])).
% 3.07/0.95 thf(zip_derived_cl1183, plain, (((f @ n1 @ u) = (uu))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl1178, zip_derived_cl3, zip_derived_cl268])).
% 3.07/0.95 thf(zip_derived_cl26, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ n2 @ (f @ n1 @ X0)) = (f @ n3 @ (f @ n2 @ X0)))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl1200, plain, (((f @ n2 @ uu) = (f @ n3 @ (f @ n2 @ u)))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl1183, zip_derived_cl26])).
% 3.07/0.95 thf(zip_derived_cl84, plain, (((f @ n2 @ u) = (uu))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl82, zip_derived_cl3, zip_derived_cl7])).
% 3.07/0.95 thf(zip_derived_cl3, plain, (((u) = (f @ n2 @ n2))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_4])).
% 3.07/0.95 thf(zip_derived_cl0, plain,
% 3.07/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.07/0.95 ((f @ X0 @ (f @ X1 @ X2)) = (f @ (f @ X0 @ X1) @ (f @ X0 @ X2)))),
% 3.07/0.95 inference('cnf', [status(esa)], [a1])).
% 3.07/0.95 thf(zip_derived_cl25, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ n2 @ (f @ n2 @ X0)) = (f @ u @ (f @ n2 @ X0)))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl875, plain, (((f @ n2 @ uu) = (f @ u @ (f @ n2 @ u)))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl25])).
% 3.07/0.95 thf(zip_derived_cl84, plain, (((f @ n2 @ u) = (uu))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl82, zip_derived_cl3, zip_derived_cl7])).
% 3.07/0.95 thf(zip_derived_cl7, plain, (((uu) = (f @ u @ u))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_8])).
% 3.07/0.95 thf(zip_derived_cl7, plain, (((uu) = (f @ u @ u))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_8])).
% 3.07/0.95 thf(zip_derived_cl0, plain,
% 3.07/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.07/0.95 ((f @ X0 @ (f @ X1 @ X2)) = (f @ (f @ X0 @ X1) @ (f @ X0 @ X2)))),
% 3.07/0.95 inference('cnf', [status(esa)], [a1])).
% 3.07/0.95 thf(zip_derived_cl21, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ u @ (f @ X0 @ u)) = (f @ (f @ u @ X0) @ uu))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl709, plain, (((f @ u @ uu) = (f @ (f @ u @ u) @ uu))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl21])).
% 3.07/0.95 thf(zip_derived_cl7, plain, (((uu) = (f @ u @ u))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_8])).
% 3.07/0.95 thf(clause_11, axiom, (( v ) = ( f @ uu @ uu ))).
% 3.07/0.95 thf(zip_derived_cl10, plain, (((v) = (f @ uu @ uu))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_11])).
% 3.07/0.95 thf(zip_derived_cl712, plain, (((f @ u @ uu) = (v))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl709, zip_derived_cl7, zip_derived_cl10])).
% 3.07/0.95 thf(zip_derived_cl883, plain, (((f @ n2 @ uu) = (v))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl875, zip_derived_cl84, zip_derived_cl712])).
% 3.07/0.95 thf(zip_derived_cl84, plain, (((f @ n2 @ u) = (uu))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl82, zip_derived_cl3, zip_derived_cl7])).
% 3.07/0.95 thf(zip_derived_cl1206, plain, (((v) = (f @ n3 @ uu))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl1200, zip_derived_cl883, zip_derived_cl84])).
% 3.07/0.95 thf(clause_9, axiom, (( a ) = ( f @ ( f @ n3 @ n2 ) @ u2 ))).
% 3.07/0.95 thf(zip_derived_cl8, plain, (((a) = (f @ (f @ n3 @ n2) @ u2))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_9])).
% 3.07/0.95 thf(zip_derived_cl8, plain, (((a) = (f @ (f @ n3 @ n2) @ u2))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_9])).
% 3.07/0.95 thf(zip_derived_cl0, plain,
% 3.07/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.07/0.95 ((f @ X0 @ (f @ X1 @ X2)) = (f @ (f @ X0 @ X1) @ (f @ X0 @ X2)))),
% 3.07/0.95 inference('cnf', [status(esa)], [a1])).
% 3.07/0.95 thf(zip_derived_cl34, plain,
% 3.07/0.95 (![X0 : $i]:
% 3.07/0.95 ((f @ (f @ n3 @ n2) @ (f @ u2 @ X0))
% 3.07/0.95 = (f @ a @ (f @ (f @ n3 @ n2) @ X0)))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl1995, plain,
% 3.07/0.95 (((f @ (f @ n3 @ n2) @ (f @ u2 @ u2)) = (f @ a @ a))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl34])).
% 3.07/0.95 thf(zip_derived_cl3, plain, (((u) = (f @ n2 @ n2))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_4])).
% 3.07/0.95 thf(clause_6, axiom, (( u2 ) = ( f @ u @ n2 ))).
% 3.07/0.95 thf(zip_derived_cl5, plain, (((u2) = (f @ u @ n2))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_6])).
% 3.07/0.95 thf(zip_derived_cl0, plain,
% 3.07/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.07/0.95 ((f @ X0 @ (f @ X1 @ X2)) = (f @ (f @ X0 @ X1) @ (f @ X0 @ X2)))),
% 3.07/0.95 inference('cnf', [status(esa)], [a1])).
% 3.07/0.95 thf(zip_derived_cl18, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ u @ (f @ X0 @ n2)) = (f @ (f @ u @ X0) @ u2))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl295, plain, (((f @ u @ u) = (f @ (f @ u @ n2) @ u2))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl18])).
% 3.07/0.95 thf(zip_derived_cl7, plain, (((uu) = (f @ u @ u))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_8])).
% 3.07/0.95 thf(zip_derived_cl5, plain, (((u2) = (f @ u @ n2))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_6])).
% 3.07/0.95 thf(zip_derived_cl298, plain, (((uu) = (f @ u2 @ u2))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl295, zip_derived_cl7, zip_derived_cl5])).
% 3.07/0.95 thf(zip_derived_cl1996, plain, (((f @ (f @ n3 @ n2) @ uu) = (f @ a @ a))),
% 3.07/0.95 inference('demod', [status(thm)], [zip_derived_cl1995, zip_derived_cl298])).
% 3.07/0.95 thf(zip_derived_cl3573, plain, (((v) = (f @ a @ a))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl3565, zip_derived_cl1206, zip_derived_cl1996])).
% 3.07/0.95 thf(zip_derived_cl3573, plain, (((v) = (f @ a @ a))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl3565, zip_derived_cl1206, zip_derived_cl1996])).
% 3.07/0.95 thf(zip_derived_cl0, plain,
% 3.07/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.07/0.95 ((f @ X0 @ (f @ X1 @ X2)) = (f @ (f @ X0 @ X1) @ (f @ X0 @ X2)))),
% 3.07/0.95 inference('cnf', [status(esa)], [a1])).
% 3.07/0.95 thf(zip_derived_cl3591, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ a @ (f @ a @ X0)) = (f @ v @ (f @ a @ X0)))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl3573, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl3756, plain, (((f @ a @ (f @ a @ a)) = (f @ v @ v))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl3573, zip_derived_cl3591])).
% 3.07/0.95 thf(zip_derived_cl3573, plain, (((v) = (f @ a @ a))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl3565, zip_derived_cl1206, zip_derived_cl1996])).
% 3.07/0.95 thf(zip_derived_cl10, plain, (((v) = (f @ uu @ uu))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_11])).
% 3.07/0.95 thf(zip_derived_cl10, plain, (((v) = (f @ uu @ uu))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_11])).
% 3.07/0.95 thf(zip_derived_cl0, plain,
% 3.07/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.07/0.95 ((f @ X0 @ (f @ X1 @ X2)) = (f @ (f @ X0 @ X1) @ (f @ X0 @ X2)))),
% 3.07/0.95 inference('cnf', [status(esa)], [a1])).
% 3.07/0.95 thf(zip_derived_cl23, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ uu @ (f @ X0 @ uu)) = (f @ (f @ uu @ X0) @ v))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl44, plain, (((f @ uu @ (f @ uu @ uu)) = (f @ v @ v))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl23])).
% 3.07/0.95 thf(zip_derived_cl10, plain, (((v) = (f @ uu @ uu))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_11])).
% 3.07/0.95 thf(zip_derived_cl45, plain, (((f @ uu @ v) = (f @ v @ v))),
% 3.07/0.95 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl10])).
% 3.07/0.95 thf(zip_derived_cl258, plain, (((f @ n1 @ n2) = (u))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl257, zip_derived_cl1, zip_derived_cl3])).
% 3.07/0.95 thf(zip_derived_cl17, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ n1 @ (f @ X0 @ n1)) = (f @ (f @ n1 @ X0) @ n2))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl266, plain, (((f @ n1 @ (f @ n2 @ n1)) = (f @ u @ n2))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl258, zip_derived_cl17])).
% 3.07/0.95 thf(zip_derived_cl2, plain, (((n3) = (f @ n2 @ n1))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_3])).
% 3.07/0.95 thf(zip_derived_cl5, plain, (((u2) = (f @ u @ n2))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_6])).
% 3.07/0.95 thf(zip_derived_cl269, plain, (((f @ n1 @ n3) = (u2))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl266, zip_derived_cl2, zip_derived_cl5])).
% 3.07/0.95 thf(clause_7, axiom, (( u3 ) = ( f @ u @ n3 ))).
% 3.07/0.95 thf(zip_derived_cl6, plain, (((u3) = (f @ u @ n3))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_7])).
% 3.07/0.95 thf(zip_derived_cl0, plain,
% 3.07/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.07/0.95 ((f @ X0 @ (f @ X1 @ X2)) = (f @ (f @ X0 @ X1) @ (f @ X0 @ X2)))),
% 3.07/0.95 inference('cnf', [status(esa)], [a1])).
% 3.07/0.95 thf(zip_derived_cl20, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ u @ (f @ X0 @ n3)) = (f @ (f @ u @ X0) @ u3))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl601, plain, (((f @ u @ u2) = (f @ (f @ u @ n1) @ u3))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl269, zip_derived_cl20])).
% 3.07/0.95 thf(zip_derived_cl5, plain, (((u2) = (f @ u @ n2))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_6])).
% 3.07/0.95 thf(zip_derived_cl18, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ u @ (f @ X0 @ n2)) = (f @ (f @ u @ X0) @ u2))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl297, plain, (((f @ u @ u2) = (f @ (f @ u @ u) @ u2))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl18])).
% 3.07/0.95 thf(zip_derived_cl7, plain, (((uu) = (f @ u @ u))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_8])).
% 3.07/0.95 thf(zip_derived_cl300, plain, (((f @ u @ u2) = (f @ uu @ u2))),
% 3.07/0.95 inference('demod', [status(thm)], [zip_derived_cl297, zip_derived_cl7])).
% 3.07/0.95 thf(clause_5, axiom, (( u1 ) = ( f @ u @ n1 ))).
% 3.07/0.95 thf(zip_derived_cl4, plain, (((u1) = (f @ u @ n1))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_5])).
% 3.07/0.95 thf(clause_10, axiom, (( b ) = ( f @ u1 @ u3 ))).
% 3.07/0.95 thf(zip_derived_cl9, plain, (((b) = (f @ u1 @ u3))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_10])).
% 3.07/0.95 thf(zip_derived_cl606, plain, (((f @ uu @ u2) = (b))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl601, zip_derived_cl300, zip_derived_cl4,
% 3.07/0.95 zip_derived_cl9])).
% 3.07/0.95 thf(zip_derived_cl23, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ uu @ (f @ X0 @ uu)) = (f @ (f @ uu @ X0) @ v))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl620, plain, (((f @ uu @ (f @ u2 @ uu)) = (f @ b @ v))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl606, zip_derived_cl23])).
% 3.07/0.95 thf(zip_derived_cl84, plain, (((f @ n2 @ u) = (uu))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl82, zip_derived_cl3, zip_derived_cl7])).
% 3.07/0.95 thf(zip_derived_cl21, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ u @ (f @ X0 @ u)) = (f @ (f @ u @ X0) @ uu))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl707, plain, (((f @ u @ uu) = (f @ (f @ u @ n2) @ uu))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl21])).
% 3.07/0.95 thf(zip_derived_cl5, plain, (((u2) = (f @ u @ n2))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_6])).
% 3.07/0.95 thf(zip_derived_cl710, plain, (((f @ u @ uu) = (f @ u2 @ uu))),
% 3.07/0.95 inference('demod', [status(thm)], [zip_derived_cl707, zip_derived_cl5])).
% 3.07/0.95 thf(zip_derived_cl712, plain, (((f @ u @ uu) = (v))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl709, zip_derived_cl7, zip_derived_cl10])).
% 3.07/0.95 thf(zip_derived_cl725, plain, (((v) = (f @ u2 @ uu))),
% 3.07/0.95 inference('demod', [status(thm)], [zip_derived_cl710, zip_derived_cl712])).
% 3.07/0.95 thf(zip_derived_cl726, plain, (((f @ uu @ v) = (f @ b @ v))),
% 3.07/0.95 inference('demod', [status(thm)], [zip_derived_cl620, zip_derived_cl725])).
% 3.07/0.95 thf(zip_derived_cl735, plain, (((f @ b @ v) = (f @ v @ v))),
% 3.07/0.95 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl726])).
% 3.07/0.95 thf(zip_derived_cl1183, plain, (((f @ n1 @ u) = (uu))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl1178, zip_derived_cl3, zip_derived_cl268])).
% 3.07/0.95 thf(zip_derived_cl21, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ u @ (f @ X0 @ u)) = (f @ (f @ u @ X0) @ uu))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl1198, plain, (((f @ u @ uu) = (f @ (f @ u @ n1) @ uu))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl1183, zip_derived_cl21])).
% 3.07/0.95 thf(zip_derived_cl712, plain, (((f @ u @ uu) = (v))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl709, zip_derived_cl7, zip_derived_cl10])).
% 3.07/0.95 thf(zip_derived_cl4, plain, (((u1) = (f @ u @ n1))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_5])).
% 3.07/0.95 thf(zip_derived_cl1204, plain, (((v) = (f @ u1 @ uu))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl1198, zip_derived_cl712, zip_derived_cl4])).
% 3.07/0.95 thf(zip_derived_cl9, plain, (((b) = (f @ u1 @ u3))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_10])).
% 3.07/0.95 thf(zip_derived_cl0, plain,
% 3.07/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.07/0.95 ((f @ X0 @ (f @ X1 @ X2)) = (f @ (f @ X0 @ X1) @ (f @ X0 @ X2)))),
% 3.07/0.95 inference('cnf', [status(esa)], [a1])).
% 3.07/0.95 thf(zip_derived_cl32, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ u1 @ (f @ u3 @ X0)) = (f @ b @ (f @ u1 @ X0)))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl1217, plain, (((f @ u1 @ (f @ u3 @ uu)) = (f @ b @ v))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl1204, zip_derived_cl32])).
% 3.07/0.95 thf(zip_derived_cl268, plain, (((uu) = (f @ n3 @ u))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl265, zip_derived_cl84, zip_derived_cl2])).
% 3.07/0.95 thf(zip_derived_cl21, plain,
% 3.07/0.95 (![X0 : $i]: ((f @ u @ (f @ X0 @ u)) = (f @ (f @ u @ X0) @ uu))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl0])).
% 3.07/0.95 thf(zip_derived_cl708, plain, (((f @ u @ uu) = (f @ (f @ u @ n3) @ uu))),
% 3.07/0.95 inference('sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl21])).
% 3.07/0.95 thf(zip_derived_cl6, plain, (((u3) = (f @ u @ n3))),
% 3.07/0.95 inference('cnf', [status(esa)], [clause_7])).
% 3.07/0.95 thf(zip_derived_cl711, plain, (((f @ u @ uu) = (f @ u3 @ uu))),
% 3.07/0.95 inference('demod', [status(thm)], [zip_derived_cl708, zip_derived_cl6])).
% 3.07/0.95 thf(zip_derived_cl712, plain, (((f @ u @ uu) = (v))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl709, zip_derived_cl7, zip_derived_cl10])).
% 3.07/0.95 thf(zip_derived_cl769, plain, (((v) = (f @ u3 @ uu))),
% 3.07/0.95 inference('demod', [status(thm)], [zip_derived_cl711, zip_derived_cl712])).
% 3.07/0.95 thf(zip_derived_cl1221, plain, (((f @ u1 @ v) = (f @ b @ v))),
% 3.07/0.95 inference('demod', [status(thm)], [zip_derived_cl1217, zip_derived_cl769])).
% 3.07/0.95 thf(zip_derived_cl1241, plain, (((f @ u1 @ v) = (f @ v @ v))),
% 3.07/0.95 inference('demod', [status(thm)], [zip_derived_cl735, zip_derived_cl1221])).
% 3.07/0.95 thf(zip_derived_cl3758, plain, (((f @ a @ v) = (f @ u1 @ v))),
% 3.07/0.95 inference('demod', [status(thm)],
% 3.07/0.95 [zip_derived_cl3756, zip_derived_cl3573, zip_derived_cl1241])).
% 3.07/0.95 thf(prove_equation, conjecture, (( f @ a @ v ) = ( f @ b @ v ))).
% 3.07/0.95 thf(zf_stmt_0, negated_conjecture, (( f @ a @ v ) != ( f @ b @ v )),
% 3.07/0.95 inference('cnf.neg', [status(esa)], [prove_equation])).
% 3.07/0.95 thf(zip_derived_cl11, plain, (((f @ a @ v) != (f @ b @ v))),
% 3.07/0.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.07/0.95 thf(zip_derived_cl1221, plain, (((f @ u1 @ v) = (f @ b @ v))),
% 3.07/0.95 inference('demod', [status(thm)], [zip_derived_cl1217, zip_derived_cl769])).
% 3.07/0.95 thf(zip_derived_cl1239, plain, (((f @ a @ v) != (f @ u1 @ v))),
% 3.07/0.95 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl1221])).
% 3.07/0.95 thf(zip_derived_cl3759, plain, ($false),
% 3.07/0.95 inference('simplify_reflect-', [status(thm)],
% 3.07/0.95 [zip_derived_cl3758, zip_derived_cl1239])).
% 3.07/0.95
% 3.07/0.95 % SZS output end Refutation
% 3.07/0.95
% 3.07/0.95
% 3.07/0.95 % Terminating...
% 3.51/1.05 % Runner terminated.
% 3.51/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------