TSTP Solution File: NUM856+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM856+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.snhoyv72Zo true

% Computer : n027.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 12:44:33 EDT 2023

% Result   : Theorem 5.72s 1.58s
% Output   : Refutation 5.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM856+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.snhoyv72Zo true
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri Aug 25 16:24:19 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.72/1.58  % Solved by fo/fo6_bce.sh.
% 5.72/1.58  % BCE start: 73
% 5.72/1.58  % BCE eliminated: 0
% 5.72/1.58  % PE start: 73
% 5.72/1.58  logic: eq
% 5.72/1.58  % PE eliminated: 1
% 5.72/1.58  % done 828 iterations in 0.831s
% 5.72/1.58  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.72/1.58  % SZS output start Refutation
% 5.72/1.58  thf(vd518_type, type, vd518: $i).
% 5.72/1.58  thf(zip_tseitin_0_type, type, zip_tseitin_0: $o).
% 5.72/1.58  thf(vd519_type, type, vd519: $i).
% 5.72/1.58  thf(vd520_type, type, vd520: $i).
% 5.72/1.58  thf(vd517_type, type, vd517: $i).
% 5.72/1.58  thf(geq_type, type, geq: $i > $i > $o).
% 5.72/1.58  thf(vmul_type, type, vmul: $i > $i > $i).
% 5.72/1.58  thf(zip_tseitin_1_type, type, zip_tseitin_1: $o).
% 5.72/1.58  thf(greater_type, type, greater: $i > $i > $o).
% 5.72/1.58  thf('ass(cond(270, 0), 0)', axiom,
% 5.72/1.58    (![Vd418:$i,Vd419:$i]:
% 5.72/1.58     ( ( vmul @ Vd418 @ Vd419 ) = ( vmul @ Vd419 @ Vd418 ) ))).
% 5.72/1.58  thf(zip_derived_cl15, plain,
% 5.72/1.58      (![X0 : $i, X1 : $i]: ((vmul @ X1 @ X0) = (vmul @ X0 @ X1))),
% 5.72/1.58      inference('cnf', [status(esa)], [ass(cond(270, 0), 0)])).
% 5.72/1.58  thf(zip_derived_cl15, plain,
% 5.72/1.58      (![X0 : $i, X1 : $i]: ((vmul @ X1 @ X0) = (vmul @ X0 @ X1))),
% 5.72/1.58      inference('cnf', [status(esa)], [ass(cond(270, 0), 0)])).
% 5.72/1.58  thf('ass(cond(299, 0), 2)', axiom,
% 5.72/1.58    (![Vd456:$i,Vd457:$i,Vd458:$i]:
% 5.72/1.58     ( ( greater @ Vd457 @ Vd458 ) =>
% 5.72/1.58       ( greater @ ( vmul @ Vd457 @ Vd456 ) @ ( vmul @ Vd458 @ Vd456 ) ) ))).
% 5.72/1.58  thf(zip_derived_cl12, plain,
% 5.72/1.58      (![X0 : $i, X1 : $i, X2 : $i]:
% 5.72/1.58         ( (greater @ (vmul @ X0 @ X1) @ (vmul @ X2 @ X1))
% 5.72/1.58          | ~ (greater @ X0 @ X2))),
% 5.72/1.58      inference('cnf', [status(esa)], [ass(cond(299, 0), 2)])).
% 5.72/1.58  thf(zip_derived_cl350, plain,
% 5.72/1.58      (![X0 : $i, X1 : $i, X2 : $i]:
% 5.72/1.58         ( (greater @ (vmul @ X1 @ X0) @ (vmul @ X2 @ X1))
% 5.72/1.58          | ~ (greater @ X0 @ X2))),
% 5.72/1.58      inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl12])).
% 5.72/1.58  thf(zip_derived_cl396, plain,
% 5.72/1.58      (![X0 : $i, X1 : $i, X2 : $i]:
% 5.72/1.58         ( (greater @ (vmul @ X1 @ X2) @ (vmul @ X1 @ X0))
% 5.72/1.58          | ~ (greater @ X2 @ X0))),
% 5.72/1.58      inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl350])).
% 5.72/1.58  thf('holds(conseq(scope(318)), 525, 0)', conjecture,
% 5.72/1.58    (greater @ ( vmul @ vd517 @ vd519 ) @ ( vmul @ vd518 @ vd520 ))).
% 5.72/1.58  thf(zf_stmt_0, negated_conjecture,
% 5.72/1.58    (~( greater @ ( vmul @ vd517 @ vd519 ) @ ( vmul @ vd518 @ vd520 ) )),
% 5.72/1.58    inference('cnf.neg', [status(esa)], [holds(conseq(scope(318)), 525, 0)])).
% 5.72/1.58  thf(zip_derived_cl0, plain,
% 5.72/1.58      (~ (greater @ (vmul @ vd517 @ vd519) @ (vmul @ vd518 @ vd520))),
% 5.72/1.58      inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.72/1.58  thf(zip_derived_cl15, plain,
% 5.72/1.58      (![X0 : $i, X1 : $i]: ((vmul @ X1 @ X0) = (vmul @ X0 @ X1))),
% 5.72/1.58      inference('cnf', [status(esa)], [ass(cond(270, 0), 0)])).
% 5.72/1.58  thf(zip_derived_cl12, plain,
% 5.72/1.58      (![X0 : $i, X1 : $i, X2 : $i]:
% 5.72/1.58         ( (greater @ (vmul @ X0 @ X1) @ (vmul @ X2 @ X1))
% 5.72/1.58          | ~ (greater @ X0 @ X2))),
% 5.72/1.58      inference('cnf', [status(esa)], [ass(cond(299, 0), 2)])).
% 5.72/1.58  thf(zip_derived_cl353, plain,
% 5.72/1.58      (![X0 : $i, X1 : $i, X2 : $i]:
% 5.72/1.58         ( (greater @ (vmul @ X2 @ X1) @ (vmul @ X1 @ X0))
% 5.72/1.58          | ~ (greater @ X2 @ X0))),
% 5.72/1.58      inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl12])).
% 5.72/1.58  thf(dis(antec(scope(318))), axiom,
% 5.72/1.58    (( ( greater @ vd519 @ vd520 ) & ( geq @ vd517 @ vd518 ) ) | 
% 5.72/1.58     ( ( geq @ vd519 @ vd520 ) & ( greater @ vd517 @ vd518 ) ))).
% 5.72/1.58  thf(zf_stmt_1, type, zip_tseitin_1 : $o).
% 5.72/1.58  thf(zf_stmt_2, axiom,
% 5.72/1.58    (( zip_tseitin_1 ) =>
% 5.72/1.58     ( ( greater @ vd517 @ vd518 ) & ( geq @ vd519 @ vd520 ) ))).
% 5.72/1.58  thf(zf_stmt_3, type, zip_tseitin_0 : $o).
% 5.72/1.58  thf(zf_stmt_4, axiom,
% 5.72/1.58    (( zip_tseitin_0 ) =>
% 5.72/1.58     ( ( geq @ vd517 @ vd518 ) & ( greater @ vd519 @ vd520 ) ))).
% 5.72/1.58  thf(zf_stmt_5, axiom, (( zip_tseitin_1 ) | ( zip_tseitin_0 ))).
% 5.72/1.58  thf(zip_derived_cl5, plain, (( (zip_tseitin_1) |  (zip_tseitin_0))),
% 5.72/1.58      inference('cnf', [status(esa)], [zf_stmt_5])).
% 5.72/1.58  thf(zip_derived_cl1, plain, (( (geq @ vd517 @ vd518) | ~ (zip_tseitin_0))),
% 5.72/1.58      inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.72/1.58  thf(zip_derived_cl255, plain, (( (zip_tseitin_1) |  (geq @ vd517 @ vd518))),
% 5.72/1.58      inference('dp-resolution', [status(thm)],
% 5.72/1.58                [zip_derived_cl5, zip_derived_cl1])).
% 5.72/1.58  thf('def(cond(conseq(axiom(3)), 16), 1)', axiom,
% 5.72/1.58    (![Vd244:$i,Vd245:$i]:
% 5.72/1.58     ( ( geq @ Vd245 @ Vd244 ) <=>
% 5.72/1.58       ( ( greater @ Vd245 @ Vd244 ) | ( ( Vd245 ) = ( Vd244 ) ) ) ))).
% 5.72/1.58  thf(zip_derived_cl43, plain,
% 5.72/1.58      (![X0 : $i, X1 : $i]:
% 5.72/1.58         (((X1) = (X0)) |  (greater @ X1 @ X0) | ~ (geq @ X1 @ X0))),
% 5.72/1.58      inference('cnf', [status(esa)], [def(cond(conseq(axiom(3)), 16), 1)])).
% 5.72/1.58  thf(zip_derived_cl792, plain,
% 5.72/1.58      (( (zip_tseitin_1) | ((vd517) = (vd518)) |  (greater @ vd517 @ vd518))),
% 5.72/1.58      inference('s_sup-', [status(thm)], [zip_derived_cl255, zip_derived_cl43])).
% 5.72/1.58  thf(zip_derived_cl3, plain,
% 5.72/1.58      (( (greater @ vd517 @ vd518) | ~ (zip_tseitin_1))),
% 5.72/1.58      inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.72/1.58  thf(zip_derived_cl794, plain,
% 5.72/1.58      (( (greater @ vd517 @ vd518) | ((vd517) = (vd518)))),
% 5.72/1.58      inference('clc', [status(thm)], [zip_derived_cl792, zip_derived_cl3])).
% 5.72/1.58  thf(zip_derived_cl794, plain,
% 5.72/1.58      (( (greater @ vd517 @ vd518) | ((vd517) = (vd518)))),
% 5.72/1.58      inference('clc', [status(thm)], [zip_derived_cl792, zip_derived_cl3])).
% 5.72/1.58  thf(zip_derived_cl5, plain, (( (zip_tseitin_1) |  (zip_tseitin_0))),
% 5.72/1.58      inference('cnf', [status(esa)], [zf_stmt_5])).
% 5.72/1.58  thf(zip_derived_cl2, plain,
% 5.72/1.58      (( (greater @ vd519 @ vd520) | ~ (zip_tseitin_0))),
% 5.72/1.58      inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.72/1.58  thf(zip_derived_cl256, plain,
% 5.72/1.58      (( (zip_tseitin_1) |  (greater @ vd519 @ vd520))),
% 5.72/1.58      inference('dp-resolution', [status(thm)],
% 5.72/1.58                [zip_derived_cl5, zip_derived_cl2])).
% 5.72/1.58  thf('ass(cond(312, 0), 0)', axiom,
% 5.72/1.58    (![Vd501:$i,Vd502:$i,Vd504:$i,Vd505:$i]:
% 5.72/1.58     ( ( ( greater @ Vd504 @ Vd505 ) & ( greater @ Vd501 @ Vd502 ) ) =>
% 5.72/1.58       ( greater @ ( vmul @ Vd501 @ Vd504 ) @ ( vmul @ Vd502 @ Vd505 ) ) ))).
% 5.72/1.58  thf(zip_derived_cl6, plain,
% 5.72/1.58      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.72/1.58         (~ (greater @ X0 @ X1)
% 5.72/1.58          | ~ (greater @ X2 @ X3)
% 5.72/1.58          |  (greater @ (vmul @ X0 @ X2) @ (vmul @ X1 @ X3)))),
% 5.72/1.58      inference('cnf', [status(esa)], [ass(cond(312, 0), 0)])).
% 5.72/1.58  thf(zip_derived_cl0, plain,
% 5.72/1.58      (~ (greater @ (vmul @ vd517 @ vd519) @ (vmul @ vd518 @ vd520))),
% 5.72/1.58      inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.72/1.58  thf(zip_derived_cl263, plain,
% 5.72/1.58      ((~ (greater @ vd519 @ vd520) | ~ (greater @ vd517 @ vd518))),
% 5.72/1.58      inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 5.72/1.58  thf(zip_derived_cl264, plain,
% 5.72/1.58      (( (zip_tseitin_1) | ~ (greater @ vd517 @ vd518))),
% 5.72/1.58      inference('s_sup-', [status(thm)], [zip_derived_cl256, zip_derived_cl263])).
% 5.72/1.58  thf(zip_derived_cl796, plain, ((((vd517) = (vd518)) |  (zip_tseitin_1))),
% 5.72/1.58      inference('s_sup-', [status(thm)], [zip_derived_cl794, zip_derived_cl264])).
% 5.72/1.58  thf(zip_derived_cl4, plain, (( (geq @ vd519 @ vd520) | ~ (zip_tseitin_1))),
% 5.72/1.58      inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.72/1.58  thf(zip_derived_cl799, plain,
% 5.72/1.58      ((((vd517) = (vd518)) |  (geq @ vd519 @ vd520))),
% 5.72/1.58      inference('s_sup-', [status(thm)], [zip_derived_cl796, zip_derived_cl4])).
% 5.72/1.58  thf(zip_derived_cl43, plain,
% 5.72/1.58      (![X0 : $i, X1 : $i]:
% 5.72/1.58         (((X1) = (X0)) |  (greater @ X1 @ X0) | ~ (geq @ X1 @ X0))),
% 5.72/1.58      inference('cnf', [status(esa)], [def(cond(conseq(axiom(3)), 16), 1)])).
% 5.72/1.58  thf(zip_derived_cl830, plain,
% 5.72/1.58      ((((vd517) = (vd518)) | ((vd519) = (vd520)) |  (greater @ vd519 @ vd520))),
% 5.72/1.58      inference('s_sup-', [status(thm)], [zip_derived_cl799, zip_derived_cl43])).
% 5.72/1.58  thf(zip_derived_cl263, plain,
% 5.72/1.58      ((~ (greater @ vd519 @ vd520) | ~ (greater @ vd517 @ vd518))),
% 5.72/1.58      inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 5.72/1.58  thf(zip_derived_cl876, plain,
% 5.72/1.58      ((((vd519) = (vd520)) | ((vd517) = (vd518)) | ~ (greater @ vd517 @ vd518))),
% 5.72/1.58      inference('s_sup-', [status(thm)], [zip_derived_cl830, zip_derived_cl263])).
% 5.72/1.58  thf('ass(cond(goal(130), 0), 3)', axiom,
% 5.72/1.58    (![Vd203:$i,Vd204:$i]:
% 5.72/1.58     ( ( ~( greater @ Vd203 @ Vd204 ) ) | ( ( Vd203 ) != ( Vd204 ) ) ))).
% 5.72/1.58  thf(zip_derived_cl51, plain,
% 5.72/1.58      (![X0 : $i, X1 : $i]: (~ (greater @ X0 @ X1) | ((X0) != (X1)))),
% 5.72/1.58      inference('cnf', [status(esa)], [ass(cond(goal(130), 0), 3)])).
% 5.72/1.58  thf(zip_derived_cl878, plain,
% 5.72/1.58      ((~ (greater @ vd517 @ vd518) | ((vd519) = (vd520)))),
% 5.72/1.58      inference('clc', [status(thm)], [zip_derived_cl876, zip_derived_cl51])).
% 5.72/1.58  thf(zip_derived_cl879, plain, ((((vd517) = (vd518)) | ((vd519) = (vd520)))),
% 5.72/1.58      inference('s_sup-', [status(thm)], [zip_derived_cl794, zip_derived_cl878])).
% 5.72/1.58  thf(zip_derived_cl0, plain,
% 5.72/1.58      (~ (greater @ (vmul @ vd517 @ vd519) @ (vmul @ vd518 @ vd520))),
% 5.72/1.58      inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.72/1.58  thf(zip_derived_cl880, plain,
% 5.72/1.58      ((((vd517) = (vd518))
% 5.72/1.58        | ~ (greater @ (vmul @ vd517 @ vd519) @ (vmul @ vd518 @ vd519)))),
% 5.72/1.58      inference('s_sup-', [status(thm)], [zip_derived_cl879, zip_derived_cl0])).
% 5.72/1.58  thf(zip_derived_cl15, plain,
% 5.72/1.58      (![X0 : $i, X1 : $i]: ((vmul @ X1 @ X0) = (vmul @ X0 @ X1))),
% 5.72/1.58      inference('cnf', [status(esa)], [ass(cond(270, 0), 0)])).
% 5.72/1.58  thf(zip_derived_cl886, plain,
% 5.72/1.58      ((((vd517) = (vd518))
% 5.72/1.58        | ~ (greater @ (vmul @ vd517 @ vd519) @ (vmul @ vd519 @ vd518)))),
% 5.72/1.58      inference('demod', [status(thm)], [zip_derived_cl880, zip_derived_cl15])).
% 5.72/1.58  thf(zip_derived_cl1018, plain,
% 5.72/1.58      ((~ (greater @ vd517 @ vd518) | ((vd517) = (vd518)))),
% 5.72/1.58      inference('s_sup-', [status(thm)], [zip_derived_cl353, zip_derived_cl886])).
% 5.72/1.58  thf(zip_derived_cl794, plain,
% 5.72/1.58      (( (greater @ vd517 @ vd518) | ((vd517) = (vd518)))),
% 5.72/1.58      inference('clc', [status(thm)], [zip_derived_cl792, zip_derived_cl3])).
% 5.72/1.58  thf(zip_derived_cl1019, plain, (((vd517) = (vd518))),
% 5.72/1.58      inference('clc', [status(thm)], [zip_derived_cl1018, zip_derived_cl794])).
% 5.72/1.58  thf(zip_derived_cl1020, plain,
% 5.72/1.58      (~ (greater @ (vmul @ vd517 @ vd519) @ (vmul @ vd517 @ vd520))),
% 5.72/1.58      inference('demod', [status(thm)], [zip_derived_cl0, zip_derived_cl1019])).
% 5.72/1.58  thf(zip_derived_cl4373, plain, (~ (greater @ vd519 @ vd520)),
% 5.72/1.58      inference('s_sup-', [status(thm)],
% 5.72/1.58                [zip_derived_cl396, zip_derived_cl1020])).
% 5.72/1.58  thf(zip_derived_cl256, plain,
% 5.72/1.58      (( (zip_tseitin_1) |  (greater @ vd519 @ vd520))),
% 5.72/1.58      inference('dp-resolution', [status(thm)],
% 5.72/1.58                [zip_derived_cl5, zip_derived_cl2])).
% 5.72/1.58  thf(zip_derived_cl3, plain,
% 5.72/1.58      (( (greater @ vd517 @ vd518) | ~ (zip_tseitin_1))),
% 5.72/1.58      inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.72/1.58  thf(zip_derived_cl1019, plain, (((vd517) = (vd518))),
% 5.72/1.58      inference('clc', [status(thm)], [zip_derived_cl1018, zip_derived_cl794])).
% 5.72/1.58  thf(zip_derived_cl51, plain,
% 5.72/1.58      (![X0 : $i, X1 : $i]: (~ (greater @ X0 @ X1) | ((X0) != (X1)))),
% 5.72/1.58      inference('cnf', [status(esa)], [ass(cond(goal(130), 0), 3)])).
% 5.72/1.58  thf(zip_derived_cl265, plain, (![X0 : $i]: ~ (greater @ X0 @ X0)),
% 5.72/1.58      inference('eq_res', [status(thm)], [zip_derived_cl51])).
% 5.72/1.58  thf(zip_derived_cl1021, plain, (~ (zip_tseitin_1)),
% 5.72/1.58      inference('demod', [status(thm)],
% 5.72/1.58                [zip_derived_cl3, zip_derived_cl1019, zip_derived_cl265])).
% 5.72/1.58  thf(zip_derived_cl1030, plain, ( (greater @ vd519 @ vd520)),
% 5.72/1.58      inference('demod', [status(thm)], [zip_derived_cl256, zip_derived_cl1021])).
% 5.72/1.58  thf(zip_derived_cl4393, plain, ($false),
% 5.72/1.58      inference('demod', [status(thm)],
% 5.72/1.58                [zip_derived_cl4373, zip_derived_cl1030])).
% 5.72/1.58  
% 5.72/1.58  % SZS output end Refutation
% 5.72/1.58  
% 5.72/1.58  
% 5.72/1.58  % Terminating...
% 7.11/1.65  % Runner terminated.
% 7.14/1.67  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------