TSTP Solution File: ALG069-10 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG069-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pJ2hpgHKTE true

% Computer : n015.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 : Wed Aug 30 17:10:20 EDT 2023

% Result   : Unsatisfiable 1.41s 1.02s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG069-10 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pJ2hpgHKTE true
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Aug 28 03:58:55 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.19/0.67  % Total configuration time : 435
% 0.19/0.67  % Estimated wc time : 1092
% 0.19/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.41/1.02  % Solved by fo/fo3_bce.sh.
% 1.41/1.02  % BCE start: 14
% 1.41/1.02  % BCE eliminated: 0
% 1.41/1.02  % PE start: 14
% 1.41/1.02  logic: eq
% 1.41/1.02  % PE eliminated: 0
% 1.41/1.02  % done 163 iterations in 0.175s
% 1.41/1.02  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.41/1.02  % SZS output start Refutation
% 1.41/1.02  thf(sK1_ax4_U_type, type, sK1_ax4_U: $i).
% 1.41/1.02  thf(tuple_type, type, tuple: $i > $i > $i).
% 1.41/1.02  thf(op2_type, type, op2: $i > $i > $i).
% 1.41/1.02  thf(op1_type, type, op1: $i > $i > $i).
% 1.41/1.02  thf(true_type, type, true: $i).
% 1.41/1.02  thf(ifeq2_type, type, ifeq2: $i > $i > $i > $i > $i).
% 1.41/1.02  thf(h_type, type, h: $i > $i).
% 1.41/1.02  thf(sorti1_type, type, sorti1: $i > $i).
% 1.41/1.02  thf(j_type, type, j: $i > $i).
% 1.41/1.02  thf(ifeq_type, type, ifeq: $i > $i > $i > $i > $i).
% 1.41/1.02  thf(sK2_ax3_V_type, type, sK2_ax3_V: $i > $i).
% 1.41/1.02  thf(sorti2_type, type, sorti2: $i > $i).
% 1.41/1.02  thf(ax4, axiom, (( sorti2 @ sK1_ax4_U ) = ( true ))).
% 1.41/1.02  thf(zip_derived_cl7, plain, (((sorti2 @ sK1_ax4_U) = (true))),
% 1.41/1.02      inference('cnf', [status(esa)], [ax4])).
% 1.41/1.02  thf(co1_3, conjecture,
% 1.41/1.02    (( ifeq @ ( sorti2 @ V ) @ true @ ( sorti1 @ ( j @ V ) ) @ true ) !=
% 1.41/1.02     ( true ))).
% 1.41/1.02  thf(zf_stmt_0, negated_conjecture,
% 1.41/1.02    (( ifeq @ ( sorti2 @ V ) @ true @ ( sorti1 @ ( j @ V ) ) @ true ) =
% 1.41/1.02     ( true )),
% 1.41/1.02    inference('cnf.neg', [status(esa)], [co1_3])).
% 1.41/1.02  thf(zip_derived_cl11, plain,
% 1.41/1.02      (![X0 : $i]:
% 1.41/1.02         ((ifeq @ (sorti2 @ X0) @ true @ (sorti1 @ (j @ X0)) @ true) = (true))),
% 1.41/1.02      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.41/1.02  thf(zip_derived_cl14, plain,
% 1.41/1.02      (((ifeq @ true @ true @ (sorti1 @ (j @ sK1_ax4_U)) @ true) = (true))),
% 1.41/1.02      inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl11])).
% 1.41/1.02  thf(ifeq_axiom_001, axiom, (( ifeq @ A @ A @ B @ C ) = ( B ))).
% 1.41/1.02  thf(zip_derived_cl1, plain,
% 1.41/1.02      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.41/1.02      inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 1.41/1.02  thf(zip_derived_cl15, plain, (((true) = (sorti1 @ (j @ sK1_ax4_U)))),
% 1.41/1.02      inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 1.41/1.02  thf(ax3_1, axiom,
% 1.41/1.02    (( ifeq @ ( sorti1 @ U ) @ true @ ( sorti1 @ ( sK2_ax3_V @ U ) ) @ true ) =
% 1.41/1.02     ( true ))).
% 1.41/1.02  thf(zip_derived_cl4, plain,
% 1.41/1.02      (![X0 : $i]:
% 1.41/1.02         ((ifeq @ (sorti1 @ X0) @ true @ (sorti1 @ (sK2_ax3_V @ X0)) @ true)
% 1.41/1.02           = (true))),
% 1.41/1.02      inference('cnf', [status(esa)], [ax3_1])).
% 1.41/1.02  thf(zip_derived_cl18, plain,
% 1.41/1.02      (((ifeq @ true @ true @ (sorti1 @ (sK2_ax3_V @ (j @ sK1_ax4_U))) @ true)
% 1.41/1.02         = (true))),
% 1.41/1.02      inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl4])).
% 1.41/1.02  thf(zip_derived_cl1, plain,
% 1.41/1.02      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.41/1.02      inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 1.41/1.02  thf(zip_derived_cl55, plain,
% 1.41/1.02      (((true) = (sorti1 @ (sK2_ax3_V @ (j @ sK1_ax4_U))))),
% 1.41/1.02      inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 1.41/1.02  thf(co1, conjecture,
% 1.41/1.02    (( ifeq @ ( sorti1 @ U ) @ true @ ( sorti2 @ ( h @ U ) ) @ true ) !=
% 1.41/1.02     ( true ))).
% 1.41/1.02  thf(zf_stmt_1, negated_conjecture,
% 1.41/1.02    (( ifeq @ ( sorti1 @ U ) @ true @ ( sorti2 @ ( h @ U ) ) @ true ) =
% 1.41/1.02     ( true )),
% 1.41/1.02    inference('cnf.neg', [status(esa)], [co1])).
% 1.41/1.02  thf(zip_derived_cl8, plain,
% 1.41/1.02      (![X0 : $i]:
% 1.41/1.02         ((ifeq @ (sorti1 @ X0) @ true @ (sorti2 @ (h @ X0)) @ true) = (true))),
% 1.41/1.02      inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.41/1.02  thf(zip_derived_cl59, plain,
% 1.41/1.02      (((ifeq @ true @ true @ (sorti2 @ (h @ (sK2_ax3_V @ (j @ sK1_ax4_U)))) @ 
% 1.41/1.02         true) = (true))),
% 1.41/1.02      inference('sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl8])).
% 1.41/1.02  thf(zip_derived_cl1, plain,
% 1.41/1.02      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.41/1.02      inference('cnf', [status(esa)], [ifeq_axiom_001])).
% 1.41/1.02  thf(zip_derived_cl81, plain,
% 1.41/1.02      (((true) = (sorti2 @ (h @ (sK2_ax3_V @ (j @ sK1_ax4_U)))))),
% 1.41/1.02      inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl1])).
% 1.41/1.02  thf(ax4_1, axiom,
% 1.41/1.02    (( tuple @ ( op2 @ V @ V ) @ ( sorti2 @ V ) ) !=
% 1.41/1.02     ( tuple @ sK1_ax4_U @ true ))).
% 1.41/1.02  thf(zip_derived_cl6, plain,
% 1.41/1.02      (![X0 : $i]:
% 1.41/1.02         ((tuple @ (op2 @ X0 @ X0) @ (sorti2 @ X0))
% 1.41/1.02           != (tuple @ sK1_ax4_U @ true))),
% 1.41/1.02      inference('cnf', [status(esa)], [ax4_1])).
% 1.41/1.02  thf(zip_derived_cl84, plain,
% 1.41/1.02      (((tuple @ 
% 1.41/1.02         (op2 @ (h @ (sK2_ax3_V @ (j @ sK1_ax4_U))) @ 
% 1.41/1.02          (h @ (sK2_ax3_V @ (j @ sK1_ax4_U)))) @ 
% 1.41/1.02         true) != (tuple @ sK1_ax4_U @ true))),
% 1.41/1.02      inference('sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl6])).
% 1.41/1.02  thf(zip_derived_cl15, plain, (((true) = (sorti1 @ (j @ sK1_ax4_U)))),
% 1.41/1.02      inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 1.41/1.02  thf(ax3, axiom,
% 1.41/1.02    (( ifeq2 @
% 1.41/1.02       ( sorti1 @ U ) @ true @ 
% 1.41/1.02       ( op1 @ ( sK2_ax3_V @ U ) @ ( sK2_ax3_V @ U ) ) @ U ) =
% 1.41/1.02     ( U ))).
% 1.41/1.02  thf(zip_derived_cl5, plain,
% 1.41/1.02      (![X0 : $i]:
% 1.41/1.02         ((ifeq2 @ (sorti1 @ X0) @ true @ 
% 1.41/1.02           (op1 @ (sK2_ax3_V @ X0) @ (sK2_ax3_V @ X0)) @ X0) = (X0))),
% 1.41/1.02      inference('cnf', [status(esa)], [ax3])).
% 1.41/1.02  thf(zip_derived_cl69, plain,
% 1.41/1.02      (((ifeq2 @ true @ true @ 
% 1.41/1.02         (op1 @ (sK2_ax3_V @ (j @ sK1_ax4_U)) @ (sK2_ax3_V @ (j @ sK1_ax4_U))) @ 
% 1.41/1.02         (j @ sK1_ax4_U)) = (j @ sK1_ax4_U))),
% 1.41/1.02      inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl5])).
% 1.41/1.02  thf(ifeq_axiom, axiom, (( ifeq2 @ A @ A @ B @ C ) = ( B ))).
% 1.41/1.02  thf(zip_derived_cl0, plain,
% 1.41/1.02      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.41/1.02      inference('cnf', [status(esa)], [ifeq_axiom])).
% 1.41/1.02  thf(zip_derived_cl865, plain,
% 1.41/1.02      (((j @ sK1_ax4_U)
% 1.41/1.02         = (op1 @ (sK2_ax3_V @ (j @ sK1_ax4_U)) @ (sK2_ax3_V @ (j @ sK1_ax4_U))))),
% 1.41/1.02      inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 1.41/1.02  thf(co1_1, conjecture,
% 1.41/1.02    (( ifeq2 @
% 1.41/1.02       ( sorti1 @ X ) @ true @ 
% 1.41/1.02       ( ifeq2 @
% 1.41/1.02         ( sorti1 @ W ) @ true @ ( op2 @ ( h @ W ) @ ( h @ X ) ) @ 
% 1.41/1.02         ( h @ ( op1 @ W @ X ) ) ) @ 
% 1.41/1.02       ( h @ ( op1 @ W @ X ) ) ) !=
% 1.41/1.02     ( h @ ( op1 @ W @ X ) ))).
% 1.41/1.02  thf(zf_stmt_2, negated_conjecture,
% 1.41/1.02    (( ifeq2 @
% 1.41/1.02       ( sorti1 @ X ) @ true @ 
% 1.41/1.02       ( ifeq2 @
% 1.41/1.02         ( sorti1 @ W ) @ true @ ( op2 @ ( h @ W ) @ ( h @ X ) ) @ 
% 1.41/1.02         ( h @ ( op1 @ W @ X ) ) ) @ 
% 1.41/1.02       ( h @ ( op1 @ W @ X ) ) ) =
% 1.41/1.02     ( h @ ( op1 @ W @ X ) )),
% 1.41/1.02    inference('cnf.neg', [status(esa)], [co1_1])).
% 1.41/1.02  thf(zip_derived_cl9, plain,
% 1.41/1.02      (![X0 : $i, X1 : $i]:
% 1.41/1.02         ((ifeq2 @ (sorti1 @ X1) @ true @ 
% 1.41/1.02           (ifeq2 @ (sorti1 @ X0) @ true @ (op2 @ (h @ X0) @ (h @ X1)) @ 
% 1.41/1.02            (h @ (op1 @ X0 @ X1))) @ 
% 1.41/1.02           (h @ (op1 @ X0 @ X1))) = (h @ (op1 @ X0 @ X1)))),
% 1.41/1.02      inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.41/1.02  thf(zip_derived_cl887, plain,
% 1.41/1.02      (((ifeq2 @ (sorti1 @ (sK2_ax3_V @ (j @ sK1_ax4_U))) @ true @ 
% 1.41/1.02         (ifeq2 @ (sorti1 @ (sK2_ax3_V @ (j @ sK1_ax4_U))) @ true @ 
% 1.41/1.02          (op2 @ (h @ (sK2_ax3_V @ (j @ sK1_ax4_U))) @ 
% 1.41/1.02           (h @ (sK2_ax3_V @ (j @ sK1_ax4_U)))) @ 
% 1.41/1.02          (h @ 
% 1.41/1.02           (op1 @ (sK2_ax3_V @ (j @ sK1_ax4_U)) @ (sK2_ax3_V @ (j @ sK1_ax4_U))))) @ 
% 1.41/1.02         (h @ (j @ sK1_ax4_U)))
% 1.41/1.02         = (h @ 
% 1.41/1.02            (op1 @ (sK2_ax3_V @ (j @ sK1_ax4_U)) @ 
% 1.41/1.02             (sK2_ax3_V @ (j @ sK1_ax4_U)))))),
% 1.41/1.02      inference('sup+', [status(thm)], [zip_derived_cl865, zip_derived_cl9])).
% 1.41/1.02  thf(zip_derived_cl55, plain,
% 1.41/1.02      (((true) = (sorti1 @ (sK2_ax3_V @ (j @ sK1_ax4_U))))),
% 1.41/1.02      inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 1.41/1.02  thf(zip_derived_cl55, plain,
% 1.41/1.02      (((true) = (sorti1 @ (sK2_ax3_V @ (j @ sK1_ax4_U))))),
% 1.41/1.02      inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 1.41/1.02  thf(zip_derived_cl865, plain,
% 1.41/1.02      (((j @ sK1_ax4_U)
% 1.41/1.02         = (op1 @ (sK2_ax3_V @ (j @ sK1_ax4_U)) @ (sK2_ax3_V @ (j @ sK1_ax4_U))))),
% 1.41/1.02      inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 1.41/1.02  thf(zip_derived_cl7, plain, (((sorti2 @ sK1_ax4_U) = (true))),
% 1.41/1.02      inference('cnf', [status(esa)], [ax4])).
% 1.41/1.02  thf(co1_5, conjecture,
% 1.41/1.02    (( ifeq2 @ ( sorti2 @ X1 ) @ true @ ( h @ ( j @ X1 ) ) @ X1 ) != ( X1 ))).
% 1.41/1.02  thf(zf_stmt_3, negated_conjecture,
% 1.41/1.02    (( ifeq2 @ ( sorti2 @ X1 ) @ true @ ( h @ ( j @ X1 ) ) @ X1 ) = ( X1 )),
% 1.41/1.02    inference('cnf.neg', [status(esa)], [co1_5])).
% 1.41/1.02  thf(zip_derived_cl13, plain,
% 1.41/1.02      (![X0 : $i]:
% 1.41/1.02         ((ifeq2 @ (sorti2 @ X0) @ true @ (h @ (j @ X0)) @ X0) = (X0))),
% 1.41/1.02      inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.41/1.02  thf(zip_derived_cl42, plain,
% 1.41/1.02      (((ifeq2 @ true @ true @ (h @ (j @ sK1_ax4_U)) @ sK1_ax4_U) = (sK1_ax4_U))),
% 1.41/1.02      inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl13])).
% 1.41/1.02  thf(zip_derived_cl0, plain,
% 1.41/1.02      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.41/1.02      inference('cnf', [status(esa)], [ifeq_axiom])).
% 1.41/1.02  thf(zip_derived_cl44, plain, (((sK1_ax4_U) = (h @ (j @ sK1_ax4_U)))),
% 1.41/1.02      inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.41/1.02  thf(zip_derived_cl0, plain,
% 1.41/1.02      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.41/1.02      inference('cnf', [status(esa)], [ifeq_axiom])).
% 1.41/1.02  thf(zip_derived_cl44, plain, (((sK1_ax4_U) = (h @ (j @ sK1_ax4_U)))),
% 1.41/1.02      inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.41/1.02  thf(zip_derived_cl0, plain,
% 1.41/1.02      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq2 @ X1 @ X1 @ X0 @ X2) = (X0))),
% 1.41/1.02      inference('cnf', [status(esa)], [ifeq_axiom])).
% 1.41/1.02  thf(zip_derived_cl865, plain,
% 1.41/1.02      (((j @ sK1_ax4_U)
% 1.41/1.02         = (op1 @ (sK2_ax3_V @ (j @ sK1_ax4_U)) @ (sK2_ax3_V @ (j @ sK1_ax4_U))))),
% 1.41/1.02      inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl0])).
% 1.41/1.02  thf(zip_derived_cl44, plain, (((sK1_ax4_U) = (h @ (j @ sK1_ax4_U)))),
% 1.41/1.02      inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl0])).
% 1.41/1.02  thf(zip_derived_cl893, plain,
% 1.41/1.02      (((op2 @ (h @ (sK2_ax3_V @ (j @ sK1_ax4_U))) @ 
% 1.41/1.02         (h @ (sK2_ax3_V @ (j @ sK1_ax4_U)))) = (sK1_ax4_U))),
% 1.41/1.02      inference('demod', [status(thm)],
% 1.41/1.02                [zip_derived_cl887, zip_derived_cl55, zip_derived_cl55, 
% 1.41/1.02                 zip_derived_cl865, zip_derived_cl44, zip_derived_cl0, 
% 1.41/1.02                 zip_derived_cl44, zip_derived_cl0, zip_derived_cl865, 
% 1.41/1.02                 zip_derived_cl44])).
% 1.41/1.02  thf(zip_derived_cl1023, plain,
% 1.41/1.02      (((tuple @ sK1_ax4_U @ true) != (tuple @ sK1_ax4_U @ true))),
% 1.41/1.02      inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl893])).
% 1.41/1.02  thf(zip_derived_cl1024, plain, ($false),
% 1.41/1.02      inference('simplify', [status(thm)], [zip_derived_cl1023])).
% 1.41/1.02  
% 1.41/1.02  % SZS output end Refutation
% 1.41/1.02  
% 1.41/1.02  
% 1.41/1.02  % Terminating...
% 2.05/1.18  % Runner terminated.
% 2.05/1.19  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------