%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG030-10 : TPTP v9.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rjGNrfTM3r true
% Computer : n023.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 Oct 2 04:27:21 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.88s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG030-10 : TPTP v9.2.0. Released v7.3.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rjGNrfTM3r true
% 0.13/0.34 % Computer : n023.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 : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:01:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 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 FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.88 % Solved by fo/fo3_bce.sh.
% 0.57/0.88 % BCE start: 14
% 0.57/0.88 % BCE eliminated: 0
% 0.57/0.88 % PE start: 14
% 0.57/0.88 logic: eq
% 0.57/0.88 % PE eliminated: 0
% 0.57/0.88 % done 228 iterations in 0.144s
% 0.57/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.88 % SZS output start Refutation
% 0.57/0.88 thf(op2_type, type, op2: $i > $i > $i).
% 0.57/0.88 thf(op1_type, type, op1: $i > $i > $i).
% 0.57/0.88 thf(sK1_ax3_V_type, type, sK1_ax3_V: $i).
% 0.57/0.88 thf(h_type, type, h: $i > $i).
% 0.57/0.88 thf(true_type, type, true: $i).
% 0.57/0.88 thf(ifeq2_type, type, ifeq2: $i > $i > $i > $i > $i).
% 0.57/0.88 thf(sK2_ax3_U_type, type, sK2_ax3_U: $i).
% 0.57/0.88 thf(j_type, type, j: $i > $i).
% 0.57/0.88 thf(sorti1_type, type, sorti1: $i > $i).
% 0.57/0.88 thf(ifeq_type, type, ifeq: $i > $i > $i > $i > $i).
% 0.57/0.88 thf(sorti2_type, type, sorti2: $i > $i).
% 0.57/0.88 thf(ax3_1, axiom, (( sorti1 @ sK1_ax3_V ) = ( true ))).
% 0.57/0.88 thf(zip_derived_cl5, plain, (((sorti1 @ sK1_ax3_V) = (true))),
% 0.57/0.88 inference('cnf', [status(esa)], [ax3_1])).
% 0.57/0.88 thf(co1, conjecture,
% 0.57/0.88 (( ifeq @ ( sorti1 @ U ) @ true @ ( sorti2 @ ( h @ U ) ) @ true ) !=
% 0.57/0.88 ( true ))).
% 0.57/0.88 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.88 (( ifeq @ ( sorti1 @ U ) @ true @ ( sorti2 @ ( h @ U ) ) @ true ) =
% 0.57/0.88 ( true )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [co1])).
% 0.57/0.88 thf(zip_derived_cl8, plain,
% 0.57/0.88 (![X0 : $i]:
% 0.57/0.88 ((ifeq @ (sorti1 @ X0) @ true @ (sorti2 @ (h @ X0)) @ true) = (true))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.88 thf(zip_derived_cl15, plain,
% 0.57/0.88 (((ifeq @ true @ true @ (sorti2 @ (h @ sK1_ax3_V)) @ true) = (true))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl8])).
% 0.57/0.88 thf(ifeq_axiom_001, axiom, (( ifeq @ A @ A @ B @ C ) = ( B ))).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.57/0.88 thf(zip_derived_cl17, plain, (((true) = (sorti2 @ (h @ sK1_ax3_V)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 0.57/0.88 thf(ax3, axiom, (( sorti1 @ sK2_ax3_U ) = ( true ))).
% 0.57/0.88 thf(zip_derived_cl6, plain, (((sorti1 @ sK2_ax3_U) = (true))),
% 0.57/0.88 inference('cnf', [status(esa)], [ax3])).
% 0.57/0.88 thf(zip_derived_cl8, plain,
% 0.57/0.88 (![X0 : $i]:
% 0.57/0.88 ((ifeq @ (sorti1 @ X0) @ true @ (sorti2 @ (h @ X0)) @ true) = (true))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.88 thf(zip_derived_cl14, plain,
% 0.57/0.88 (((ifeq @ true @ true @ (sorti2 @ (h @ sK2_ax3_U)) @ true) = (true))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl8])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.57/0.88 thf(zip_derived_cl16, plain, (((true) = (sorti2 @ (h @ sK2_ax3_U)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 0.57/0.88 thf(ax4, axiom,
% 0.57/0.88 (( ifeq2 @
% 0.57/0.88 ( sorti2 @ V ) @ true @
% 0.57/0.88 ( ifeq2 @ ( sorti2 @ U ) @ true @ ( op2 @ U @ V ) @ ( op2 @ V @ U ) ) @
% 0.57/0.88 ( op2 @ V @ U ) ) =
% 0.57/0.88 ( op2 @ V @ U ))).
% 0.57/0.88 thf(zip_derived_cl7, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 ((ifeq2 @ (sorti2 @ X0) @ true @
% 0.57/0.88 (ifeq2 @ (sorti2 @ X1) @ true @ (op2 @ X1 @ X0) @ (op2 @ X0 @ X1)) @
% 0.57/0.88 (op2 @ X0 @ X1)) = (op2 @ X0 @ X1))),
% 0.57/0.88 inference('cnf', [status(esa)], [ax4])).
% 0.57/0.88 thf(zip_derived_cl101, plain,
% 0.57/0.88 (![X0 : $i]:
% 0.57/0.88 ((ifeq2 @ true @ true @
% 0.57/0.88 (ifeq2 @ (sorti2 @ X0) @ true @ (op2 @ X0 @ (h @ sK2_ax3_U)) @
% 0.57/0.88 (op2 @ (h @ sK2_ax3_U) @ X0)) @
% 0.57/0.88 (op2 @ (h @ sK2_ax3_U) @ X0)) = (op2 @ (h @ sK2_ax3_U) @ X0))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl7])).
% 0.57/0.88 thf(zip_derived_cl1354, plain,
% 0.57/0.88 (((ifeq2 @ true @ true @
% 0.57/0.88 (ifeq2 @ true @ true @ (op2 @ (h @ sK1_ax3_V) @ (h @ sK2_ax3_U)) @
% 0.57/0.88 (op2 @ (h @ sK2_ax3_U) @ (h @ sK1_ax3_V))) @
% 0.57/0.88 (op2 @ (h @ sK2_ax3_U) @ (h @ sK1_ax3_V)))
% 0.57/0.88 = (op2 @ (h @ sK2_ax3_U) @ (h @ sK1_ax3_V)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl101])).
% 0.57/0.88 thf(ifeq_axiom, axiom, (( ifeq2 @ A @ A @ B @ C ) = ( B ))).
% 0.57/0.88 thf(zip_derived_cl0, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.57/0.88 thf(zip_derived_cl0, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.57/0.88 thf(zip_derived_cl1382, plain,
% 0.57/0.88 (((op2 @ (h @ sK1_ax3_V) @ (h @ sK2_ax3_U))
% 0.57/0.88 = (op2 @ (h @ sK2_ax3_U) @ (h @ sK1_ax3_V)))),
% 0.57/0.88 inference('demod', [status(thm)],
% 0.57/0.88 [zip_derived_cl1354, zip_derived_cl0, zip_derived_cl0])).
% 0.57/0.88 thf(co1_1, conjecture,
% 0.57/0.88 (( ifeq2 @
% 0.57/0.88 ( sorti1 @ X ) @ true @
% 0.57/0.88 ( ifeq2 @
% 0.57/0.88 ( sorti1 @ W ) @ true @ ( op2 @ ( h @ W ) @ ( h @ X ) ) @
% 0.57/0.88 ( h @ ( op1 @ W @ X ) ) ) @
% 0.57/0.88 ( h @ ( op1 @ W @ X ) ) ) !=
% 0.57/0.88 ( h @ ( op1 @ W @ X ) ))).
% 0.57/0.88 thf(zf_stmt_1, negated_conjecture,
% 0.57/0.88 (( ifeq2 @
% 0.57/0.88 ( sorti1 @ X ) @ true @
% 0.57/0.88 ( ifeq2 @
% 0.57/0.88 ( sorti1 @ W ) @ true @ ( op2 @ ( h @ W ) @ ( h @ X ) ) @
% 0.57/0.88 ( h @ ( op1 @ W @ X ) ) ) @
% 0.57/0.88 ( h @ ( op1 @ W @ X ) ) ) =
% 0.57/0.88 ( h @ ( op1 @ W @ X ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [co1_1])).
% 0.57/0.88 thf(zip_derived_cl9, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 ((ifeq2 @ (sorti1 @ X1) @ true @
% 0.57/0.88 (ifeq2 @ (sorti1 @ X0) @ true @ (op2 @ (h @ X0) @ (h @ X1)) @
% 0.57/0.88 (h @ (op1 @ X0 @ X1))) @
% 0.57/0.88 (h @ (op1 @ X0 @ X1))) = (h @ (op1 @ X0 @ X1)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.88 thf(zip_derived_cl1423, plain,
% 0.57/0.88 (((ifeq2 @ (sorti1 @ sK2_ax3_U) @ true @
% 0.57/0.88 (ifeq2 @ (sorti1 @ sK1_ax3_V) @ true @
% 0.57/0.88 (op2 @ (h @ sK2_ax3_U) @ (h @ sK1_ax3_V)) @
% 0.57/0.88 (h @ (op1 @ sK1_ax3_V @ sK2_ax3_U))) @
% 0.57/0.88 (h @ (op1 @ sK1_ax3_V @ sK2_ax3_U)))
% 0.57/0.88 = (h @ (op1 @ sK1_ax3_V @ sK2_ax3_U)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl1382, zip_derived_cl9])).
% 0.57/0.88 thf(zip_derived_cl6, plain, (((sorti1 @ sK2_ax3_U) = (true))),
% 0.57/0.88 inference('cnf', [status(esa)], [ax3])).
% 0.57/0.88 thf(zip_derived_cl5, plain, (((sorti1 @ sK1_ax3_V) = (true))),
% 0.57/0.88 inference('cnf', [status(esa)], [ax3_1])).
% 0.57/0.88 thf(zip_derived_cl0, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.57/0.88 thf(zip_derived_cl0, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.57/0.88 thf(zip_derived_cl1433, plain,
% 0.57/0.88 (((op2 @ (h @ sK2_ax3_U) @ (h @ sK1_ax3_V))
% 0.57/0.88 = (h @ (op1 @ sK1_ax3_V @ sK2_ax3_U)))),
% 0.57/0.88 inference('demod', [status(thm)],
% 0.57/0.88 [zip_derived_cl1423, zip_derived_cl6, zip_derived_cl5,
% 0.57/0.88 zip_derived_cl0, zip_derived_cl0])).
% 0.57/0.88 thf(co1_4, conjecture,
% 0.57/0.88 (( ifeq2 @
% 0.57/0.88 ( sorti2 @ Z ) @ true @
% 0.57/0.88 ( ifeq2 @
% 0.57/0.88 ( sorti2 @ Y ) @ true @ ( op1 @ ( j @ Y ) @ ( j @ Z ) ) @
% 0.57/0.88 ( j @ ( op2 @ Y @ Z ) ) ) @
% 0.57/0.88 ( j @ ( op2 @ Y @ Z ) ) ) !=
% 0.57/0.88 ( j @ ( op2 @ Y @ Z ) ))).
% 0.57/0.88 thf(zf_stmt_2, negated_conjecture,
% 0.57/0.88 (( ifeq2 @
% 0.57/0.88 ( sorti2 @ Z ) @ true @
% 0.57/0.88 ( ifeq2 @
% 0.57/0.88 ( sorti2 @ Y ) @ true @ ( op1 @ ( j @ Y ) @ ( j @ Z ) ) @
% 0.57/0.88 ( j @ ( op2 @ Y @ Z ) ) ) @
% 0.57/0.88 ( j @ ( op2 @ Y @ Z ) ) ) =
% 0.57/0.88 ( j @ ( op2 @ Y @ Z ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [co1_4])).
% 0.57/0.88 thf(zip_derived_cl12, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 ((ifeq2 @ (sorti2 @ X1) @ true @
% 0.57/0.88 (ifeq2 @ (sorti2 @ X0) @ true @ (op1 @ (j @ X0) @ (j @ X1)) @
% 0.57/0.88 (j @ (op2 @ X0 @ X1))) @
% 0.57/0.88 (j @ (op2 @ X0 @ X1))) = (j @ (op2 @ X0 @ X1)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.88 thf(zip_derived_cl1538, plain,
% 0.57/0.88 (((ifeq2 @ (sorti2 @ (h @ sK1_ax3_V)) @ true @
% 0.57/0.88 (ifeq2 @ (sorti2 @ (h @ sK2_ax3_U)) @ true @
% 0.57/0.88 (op1 @ (j @ (h @ sK2_ax3_U)) @ (j @ (h @ sK1_ax3_V))) @
% 0.57/0.88 (j @ (op2 @ (h @ sK2_ax3_U) @ (h @ sK1_ax3_V)))) @
% 0.57/0.88 (j @ (h @ (op1 @ sK1_ax3_V @ sK2_ax3_U))))
% 0.57/0.88 = (j @ (op2 @ (h @ sK2_ax3_U) @ (h @ sK1_ax3_V))))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl1433, zip_derived_cl12])).
% 0.57/0.88 thf(zip_derived_cl17, plain, (((true) = (sorti2 @ (h @ sK1_ax3_V)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl16, plain, (((true) = (sorti2 @ (h @ sK2_ax3_U)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl6, plain, (((sorti1 @ sK2_ax3_U) = (true))),
% 0.57/0.88 inference('cnf', [status(esa)], [ax3])).
% 0.57/0.88 thf(co1_2, conjecture,
% 0.57/0.88 (( ifeq2 @ ( sorti1 @ X2 ) @ true @ ( j @ ( h @ X2 ) ) @ X2 ) != ( X2 ))).
% 0.57/0.88 thf(zf_stmt_3, negated_conjecture,
% 0.57/0.88 (( ifeq2 @ ( sorti1 @ X2 ) @ true @ ( j @ ( h @ X2 ) ) @ X2 ) = ( X2 )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [co1_2])).
% 0.57/0.88 thf(zip_derived_cl10, plain,
% 0.57/0.88 (![X0 : $i]:
% 0.57/0.88 ((ifeq2 @ (sorti1 @ X0) @ true @ (j @ (h @ X0)) @ X0) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.88 thf(zip_derived_cl48, plain,
% 0.57/0.88 (((ifeq2 @ true @ true @ (j @ (h @ sK2_ax3_U)) @ sK2_ax3_U) = (sK2_ax3_U))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl10])).
% 0.57/0.88 thf(zip_derived_cl0, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.57/0.88 thf(zip_derived_cl54, plain, (((sK2_ax3_U) = (j @ (h @ sK2_ax3_U)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl0])).
% 0.57/0.88 thf(zip_derived_cl5, plain, (((sorti1 @ sK1_ax3_V) = (true))),
% 0.57/0.88 inference('cnf', [status(esa)], [ax3_1])).
% 0.57/0.88 thf(zip_derived_cl10, plain,
% 0.57/0.88 (![X0 : $i]:
% 0.57/0.88 ((ifeq2 @ (sorti1 @ X0) @ true @ (j @ (h @ X0)) @ X0) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.88 thf(zip_derived_cl49, plain,
% 0.57/0.88 (((ifeq2 @ true @ true @ (j @ (h @ sK1_ax3_V)) @ sK1_ax3_V) = (sK1_ax3_V))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl10])).
% 0.57/0.88 thf(zip_derived_cl0, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.57/0.88 thf(zip_derived_cl118, plain, (((sK1_ax3_V) = (j @ (h @ sK1_ax3_V)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl49, zip_derived_cl0])).
% 0.57/0.88 thf(zip_derived_cl1433, plain,
% 0.57/0.88 (((op2 @ (h @ sK2_ax3_U) @ (h @ sK1_ax3_V))
% 0.57/0.88 = (h @ (op1 @ sK1_ax3_V @ sK2_ax3_U)))),
% 0.57/0.88 inference('demod', [status(thm)],
% 0.57/0.88 [zip_derived_cl1423, zip_derived_cl6, zip_derived_cl5,
% 0.57/0.88 zip_derived_cl0, zip_derived_cl0])).
% 0.57/0.88 thf(zip_derived_cl0, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.57/0.88 thf(zip_derived_cl0, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.57/0.88 thf(zip_derived_cl1433, plain,
% 0.57/0.88 (((op2 @ (h @ sK2_ax3_U) @ (h @ sK1_ax3_V))
% 0.57/0.88 = (h @ (op1 @ sK1_ax3_V @ sK2_ax3_U)))),
% 0.57/0.88 inference('demod', [status(thm)],
% 0.57/0.88 [zip_derived_cl1423, zip_derived_cl6, zip_derived_cl5,
% 0.57/0.88 zip_derived_cl0, zip_derived_cl0])).
% 0.57/0.88 thf(zip_derived_cl1550, plain,
% 0.57/0.88 (((op1 @ sK2_ax3_U @ sK1_ax3_V)
% 0.57/0.88 = (j @ (h @ (op1 @ sK1_ax3_V @ sK2_ax3_U))))),
% 0.57/0.88 inference('demod', [status(thm)],
% 0.57/0.88 [zip_derived_cl1538, zip_derived_cl17, zip_derived_cl16,
% 0.57/0.88 zip_derived_cl54, zip_derived_cl118, zip_derived_cl1433,
% 0.57/0.88 zip_derived_cl0, zip_derived_cl0, zip_derived_cl1433])).
% 0.57/0.88 thf(zip_derived_cl1433, plain,
% 0.57/0.88 (((op2 @ (h @ sK2_ax3_U) @ (h @ sK1_ax3_V))
% 0.57/0.88 = (h @ (op1 @ sK1_ax3_V @ sK2_ax3_U)))),
% 0.57/0.88 inference('demod', [status(thm)],
% 0.57/0.88 [zip_derived_cl1423, zip_derived_cl6, zip_derived_cl5,
% 0.57/0.88 zip_derived_cl0, zip_derived_cl0])).
% 0.57/0.88 thf(zip_derived_cl9, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 ((ifeq2 @ (sorti1 @ X1) @ true @
% 0.57/0.88 (ifeq2 @ (sorti1 @ X0) @ true @ (op2 @ (h @ X0) @ (h @ X1)) @
% 0.57/0.88 (h @ (op1 @ X0 @ X1))) @
% 0.57/0.88 (h @ (op1 @ X0 @ X1))) = (h @ (op1 @ X0 @ X1)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.88 thf(zip_derived_cl1545, plain,
% 0.57/0.88 (((ifeq2 @ (sorti1 @ sK1_ax3_V) @ true @
% 0.57/0.88 (ifeq2 @ (sorti1 @ sK2_ax3_U) @ true @
% 0.57/0.88 (h @ (op1 @ sK1_ax3_V @ sK2_ax3_U)) @
% 0.57/0.88 (h @ (op1 @ sK2_ax3_U @ sK1_ax3_V))) @
% 0.57/0.88 (h @ (op1 @ sK2_ax3_U @ sK1_ax3_V)))
% 0.57/0.88 = (h @ (op1 @ sK2_ax3_U @ sK1_ax3_V)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl1433, zip_derived_cl9])).
% 0.57/0.88 thf(zip_derived_cl5, plain, (((sorti1 @ sK1_ax3_V) = (true))),
% 0.57/0.88 inference('cnf', [status(esa)], [ax3_1])).
% 0.57/0.88 thf(zip_derived_cl6, plain, (((sorti1 @ sK2_ax3_U) = (true))),
% 0.57/0.88 inference('cnf', [status(esa)], [ax3])).
% 0.57/0.88 thf(zip_derived_cl0, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.57/0.88 thf(zip_derived_cl0, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.57/0.88 thf(zip_derived_cl1557, plain,
% 0.57/0.88 (((h @ (op1 @ sK1_ax3_V @ sK2_ax3_U))
% 0.57/0.88 = (h @ (op1 @ sK2_ax3_U @ sK1_ax3_V)))),
% 0.57/0.88 inference('demod', [status(thm)],
% 0.57/0.88 [zip_derived_cl1545, zip_derived_cl5, zip_derived_cl6,
% 0.57/0.88 zip_derived_cl0, zip_derived_cl0])).
% 0.57/0.88 thf(zip_derived_cl10, plain,
% 0.57/0.88 (![X0 : $i]:
% 0.57/0.88 ((ifeq2 @ (sorti1 @ X0) @ true @ (j @ (h @ X0)) @ X0) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.88 thf(zip_derived_cl1654, plain,
% 0.57/0.88 (((ifeq2 @ (sorti1 @ (op1 @ sK1_ax3_V @ sK2_ax3_U)) @ true @
% 0.57/0.88 (j @ (h @ (op1 @ sK2_ax3_U @ sK1_ax3_V))) @
% 0.57/0.88 (op1 @ sK1_ax3_V @ sK2_ax3_U)) = (op1 @ sK1_ax3_V @ sK2_ax3_U))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl1557, zip_derived_cl10])).
% 0.57/0.88 thf(zip_derived_cl5, plain, (((sorti1 @ sK1_ax3_V) = (true))),
% 0.57/0.88 inference('cnf', [status(esa)], [ax3_1])).
% 0.57/0.88 thf(zip_derived_cl6, plain, (((sorti1 @ sK2_ax3_U) = (true))),
% 0.57/0.88 inference('cnf', [status(esa)], [ax3])).
% 0.57/0.88 thf(ax1, axiom,
% 0.57/0.88 (( ifeq @
% 0.57/0.88 ( sorti1 @ V ) @ true @
% 0.57/0.88 ( ifeq @ ( sorti1 @ U ) @ true @ ( sorti1 @ ( op1 @ U @ V ) ) @ true ) @
% 0.57/0.88 true ) =
% 0.57/0.88 ( true ))).
% 0.57/0.88 thf(zip_derived_cl2, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 ((ifeq @ (sorti1 @ X0) @ true @
% 0.57/0.88 (ifeq @ (sorti1 @ X1) @ true @ (sorti1 @ (op1 @ X1 @ X0)) @ true) @
% 0.57/0.88 true) = (true))),
% 0.57/0.88 inference('cnf', [status(esa)], [ax1])).
% 0.57/0.88 thf(zip_derived_cl34, plain,
% 0.57/0.88 (![X0 : $i]:
% 0.57/0.88 ((ifeq @ true @ true @
% 0.57/0.88 (ifeq @ (sorti1 @ X0) @ true @ (sorti1 @ (op1 @ X0 @ sK2_ax3_U)) @
% 0.57/0.88 true) @
% 0.57/0.88 true) = (true))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 0.57/0.88 thf(zip_derived_cl258, plain,
% 0.57/0.88 (((ifeq @ true @ true @
% 0.57/0.88 (ifeq @ true @ true @ (sorti1 @ (op1 @ sK1_ax3_V @ sK2_ax3_U)) @ true) @
% 0.57/0.88 true) = (true))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl34])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.57/0.88 thf(zip_derived_cl263, plain,
% 0.57/0.88 (((sorti1 @ (op1 @ sK1_ax3_V @ sK2_ax3_U)) = (true))),
% 0.57/0.88 inference('demod', [status(thm)],
% 0.57/0.88 [zip_derived_cl258, zip_derived_cl1, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl0, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.57/0.88 thf(zip_derived_cl1660, plain,
% 0.57/0.88 (((j @ (h @ (op1 @ sK2_ax3_U @ sK1_ax3_V)))
% 0.57/0.88 = (op1 @ sK1_ax3_V @ sK2_ax3_U))),
% 0.57/0.88 inference('demod', [status(thm)],
% 0.57/0.88 [zip_derived_cl1654, zip_derived_cl263, zip_derived_cl0])).
% 0.57/0.88 thf(zip_derived_cl1736, plain,
% 0.57/0.88 (((op1 @ sK2_ax3_U @ sK1_ax3_V)
% 0.57/0.88 = (j @ (h @ (j @ (h @ (op1 @ sK2_ax3_U @ sK1_ax3_V))))))),
% 0.57/0.88 inference('demod', [status(thm)],
% 0.57/0.88 [zip_derived_cl1550, zip_derived_cl1660])).
% 0.57/0.88 thf(zip_derived_cl10, plain,
% 0.57/0.88 (![X0 : $i]:
% 0.57/0.88 ((ifeq2 @ (sorti1 @ X0) @ true @ (j @ (h @ X0)) @ X0) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.88 thf(zip_derived_cl1742, plain,
% 0.57/0.88 (((ifeq2 @ (sorti1 @ (j @ (h @ (op1 @ sK2_ax3_U @ sK1_ax3_V)))) @ true @
% 0.57/0.88 (op1 @ sK2_ax3_U @ sK1_ax3_V) @
% 0.57/0.88 (j @ (h @ (op1 @ sK2_ax3_U @ sK1_ax3_V))))
% 0.57/0.88 = (j @ (h @ (op1 @ sK2_ax3_U @ sK1_ax3_V))))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl1736, zip_derived_cl10])).
% 0.57/0.88 thf(zip_derived_cl5, plain, (((sorti1 @ sK1_ax3_V) = (true))),
% 0.57/0.88 inference('cnf', [status(esa)], [ax3_1])).
% 0.57/0.88 thf(zip_derived_cl6, plain, (((sorti1 @ sK2_ax3_U) = (true))),
% 0.57/0.88 inference('cnf', [status(esa)], [ax3])).
% 0.57/0.88 thf(zip_derived_cl2, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 ((ifeq @ (sorti1 @ X0) @ true @
% 0.57/0.88 (ifeq @ (sorti1 @ X1) @ true @ (sorti1 @ (op1 @ X1 @ X0)) @ true) @
% 0.57/0.88 true) = (true))),
% 0.57/0.88 inference('cnf', [status(esa)], [ax1])).
% 0.57/0.88 thf(zip_derived_cl31, plain,
% 0.57/0.88 (![X0 : $i]:
% 0.57/0.88 ((ifeq @ (sorti1 @ X0) @ true @
% 0.57/0.88 (ifeq @ true @ true @ (sorti1 @ (op1 @ sK2_ax3_U @ X0)) @ true) @
% 0.57/0.88 true) = (true))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl2])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.57/0.88 thf(zip_derived_cl37, plain,
% 0.57/0.88 (![X0 : $i]:
% 0.57/0.88 ((ifeq @ (sorti1 @ X0) @ true @ (sorti1 @ (op1 @ sK2_ax3_U @ X0)) @
% 0.57/0.88 true) = (true))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl139, plain,
% 0.57/0.88 (((ifeq @ true @ true @ (sorti1 @ (op1 @ sK2_ax3_U @ sK1_ax3_V)) @ true)
% 0.57/0.88 = (true))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl37])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.57/0.88 thf(zip_derived_cl200, plain,
% 0.57/0.88 (((true) = (sorti1 @ (op1 @ sK2_ax3_U @ sK1_ax3_V)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl8, plain,
% 0.57/0.88 (![X0 : $i]:
% 0.57/0.88 ((ifeq @ (sorti1 @ X0) @ true @ (sorti2 @ (h @ X0)) @ true) = (true))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.88 thf(zip_derived_cl239, plain,
% 0.57/0.88 (((ifeq @ true @ true @ (sorti2 @ (h @ (op1 @ sK2_ax3_U @ sK1_ax3_V))) @
% 0.57/0.88 true) = (true))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl200, zip_derived_cl8])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.57/0.88 thf(zip_derived_cl251, plain,
% 0.57/0.88 (((true) = (sorti2 @ (h @ (op1 @ sK2_ax3_U @ sK1_ax3_V))))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl239, zip_derived_cl1])).
% 0.57/0.88 thf(co1_3, conjecture,
% 0.57/0.88 (( ifeq @ ( sorti2 @ V ) @ true @ ( sorti1 @ ( j @ V ) ) @ true ) !=
% 0.57/0.88 ( true ))).
% 0.57/0.88 thf(zf_stmt_4, negated_conjecture,
% 0.57/0.88 (( ifeq @ ( sorti2 @ V ) @ true @ ( sorti1 @ ( j @ V ) ) @ true ) =
% 0.57/0.88 ( true )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [co1_3])).
% 0.57/0.88 thf(zip_derived_cl11, plain,
% 0.57/0.88 (![X0 : $i]:
% 0.57/0.88 ((ifeq @ (sorti2 @ X0) @ true @ (sorti1 @ (j @ X0)) @ true) = (true))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.88 thf(zip_derived_cl267, plain,
% 0.57/0.88 (((ifeq @ true @ true @
% 0.57/0.88 (sorti1 @ (j @ (h @ (op1 @ sK2_ax3_U @ sK1_ax3_V)))) @ true) = (
% 0.57/0.88 true))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl11])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 0.57/0.88 thf(zip_derived_cl466, plain,
% 0.57/0.88 (((true) = (sorti1 @ (j @ (h @ (op1 @ sK2_ax3_U @ sK1_ax3_V)))))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl267, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl0, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.57/0.88 thf(zip_derived_cl1747, plain,
% 0.57/0.88 (((op1 @ sK2_ax3_U @ sK1_ax3_V)
% 0.57/0.88 = (j @ (h @ (op1 @ sK2_ax3_U @ sK1_ax3_V))))),
% 0.57/0.88 inference('demod', [status(thm)],
% 0.57/0.88 [zip_derived_cl1742, zip_derived_cl466, zip_derived_cl0])).
% 0.57/0.88 thf(ax3_2, axiom,
% 0.57/0.88 (( op1 @ sK2_ax3_U @ sK1_ax3_V ) != ( op1 @ sK1_ax3_V @ sK2_ax3_U ))).
% 0.57/0.88 thf(zip_derived_cl4, plain,
% 0.57/0.88 (((op1 @ sK2_ax3_U @ sK1_ax3_V) != (op1 @ sK1_ax3_V @ sK2_ax3_U))),
% 0.57/0.88 inference('cnf', [status(esa)], [ax3_2])).
% 0.57/0.88 thf(zip_derived_cl1660, plain,
% 0.57/0.88 (((j @ (h @ (op1 @ sK2_ax3_U @ sK1_ax3_V)))
% 0.57/0.88 = (op1 @ sK1_ax3_V @ sK2_ax3_U))),
% 0.57/0.88 inference('demod', [status(thm)],
% 0.57/0.88 [zip_derived_cl1654, zip_derived_cl263, zip_derived_cl0])).
% 0.57/0.88 thf(zip_derived_cl1721, plain,
% 0.57/0.88 (((op1 @ sK2_ax3_U @ sK1_ax3_V)
% 0.57/0.88 != (j @ (h @ (op1 @ sK2_ax3_U @ sK1_ax3_V))))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl1660])).
% 0.57/0.88 thf(zip_derived_cl1768, plain, ($false),
% 0.57/0.88 inference('simplify_reflect-', [status(thm)],
% 0.57/0.88 [zip_derived_cl1747, zip_derived_cl1721])).
% 0.57/0.88
% 0.57/0.88 % SZS output end Refutation
% 0.57/0.88
% 0.57/0.88
% 0.57/0.88 % Terminating...
% 0.63/0.95 % Runner terminated.
% 0.63/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------