TSTP Solution File: SYO629-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYO629-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n024.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  : 600s
% DateTime : Thu Jul 21 18:40:32 EDT 2022

% Result   : Unsatisfiable 0.13s 0.34s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYO629-1 : TPTP v8.1.0. Released v7.1.0.
% 0.00/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jul  9 08:08:58 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  
% 0.13/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.34  cnf(clause_8_01, axiom, (~ 'E'(f(A_3), f(g(A_3))))).
% 0.19/0.34  
% 0.19/0.34  cnf(clause_0_02, axiom, (iLEQ(A_3, A_3))).
% 0.19/0.34  
% 0.19/0.34  cnf(clause_11_03, axiom,
% 0.19/0.34      (~ 'E'(0, f(A_3)) | ~ 'E'(0, f(g(A_3))) | 'E'(f(A_3), f(g(A_3))))).
% 0.19/0.34  
% 0.19/0.34  cnf(clause_6_04, axiom, ('E'(s(0), f(A)) | 'LE'(f(A), s(0)))).
% 0.19/0.34  
% 0.19/0.34  cnf(clause_7_05, axiom, (~ 'LE'(f(A_3), 0))).
% 0.19/0.34  
% 0.19/0.34  cnf(clause_10_06, axiom,
% 0.19/0.34      (~ 'LE'(f(A_1), s(0)) | ~ iLEQ(A_1, B_0) | 'E'(0, f(B_0)) |
% 0.19/0.34       'LE'(f(B_0), 0))).
% 0.19/0.34  
% 0.19/0.34  cnf(clause_1_07, axiom,
% 0.19/0.34      (~ 'E'(s(0), f(A_2)) | ~ 'E'(s(0), f(g(A_2))) |
% 0.19/0.34       'E'(f(A_2), f(g(A_2))))).
% 0.19/0.34  
% 0.19/0.34  cnf(clause_3_09, axiom, (iLEQ(A_3, g(A_3)))).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_0, plain, ('E'(s(0), f(X_9)) | 'LE'(f(X_9), s(0))),
% 0.19/0.34      inference(subst, [], [clause_6_04 : [bind(A, $fot(X_9))]])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_1, plain, (iLEQ(X_7, g(X_7))),
% 0.19/0.34      inference(subst, [], [clause_3_09 : [bind(A_3, $fot(X_7))]])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_2, plain, (~ 'LE'(f(B_0), 0)),
% 0.19/0.34      inference(subst, [], [clause_7_05 : [bind(A_3, $fot(B_0))]])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_3, plain,
% 0.19/0.34      (~ 'LE'(f(A_1), s(0)) | ~ iLEQ(A_1, B_0) | 'E'(0, f(B_0))),
% 0.19/0.34      inference(resolve, [$cnf('LE'(f(B_0), 0))],
% 0.19/0.34                [clause_10_06, refute_0_2])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_4, plain,
% 0.19/0.34      (~ 'LE'(f(X_7), s(0)) | ~ iLEQ(X_7, g(X_7)) | 'E'(0, f(g(X_7)))),
% 0.19/0.34      inference(subst, [],
% 0.19/0.34                [refute_0_3 :
% 0.19/0.34                 [bind(A_1, $fot(X_7)), bind(B_0, $fot(g(X_7)))]])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_5, plain, (~ 'LE'(f(X_7), s(0)) | 'E'(0, f(g(X_7)))),
% 0.19/0.34      inference(resolve, [$cnf(iLEQ(X_7, g(X_7)))],
% 0.19/0.34                [refute_0_1, refute_0_4])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_6, plain, (~ 'LE'(f(X_9), s(0)) | 'E'(0, f(g(X_9)))),
% 0.19/0.34      inference(subst, [], [refute_0_5 : [bind(X_7, $fot(X_9))]])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_7, plain, ('E'(0, f(g(X_9))) | 'E'(s(0), f(X_9))),
% 0.19/0.34      inference(resolve, [$cnf('LE'(f(X_9), s(0)))],
% 0.19/0.34                [refute_0_0, refute_0_6])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_8, plain, ('E'(0, f(g(X_13))) | 'E'(s(0), f(X_13))),
% 0.19/0.34      inference(subst, [], [refute_0_7 : [bind(X_9, $fot(X_13))]])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_9, plain, (~ 'E'(f(A_2), f(g(A_2)))),
% 0.19/0.34      inference(subst, [], [clause_8_01 : [bind(A_3, $fot(A_2))]])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_10, plain, (~ 'E'(s(0), f(A_2)) | ~ 'E'(s(0), f(g(A_2)))),
% 0.19/0.34      inference(resolve, [$cnf('E'(f(A_2), f(g(A_2))))],
% 0.19/0.34                [clause_1_07, refute_0_9])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_11, plain, ('E'(s(0), f(X_10)) | 'LE'(f(X_10), s(0))),
% 0.19/0.34      inference(subst, [], [clause_6_04 : [bind(A, $fot(X_10))]])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_12, plain, (iLEQ(X_8, X_8)),
% 0.19/0.34      inference(subst, [], [clause_0_02 : [bind(A_3, $fot(X_8))]])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_13, plain,
% 0.19/0.34      (~ 'LE'(f(X_8), s(0)) | ~ iLEQ(X_8, X_8) | 'E'(0, f(X_8))),
% 0.19/0.34      inference(subst, [],
% 0.19/0.34                [refute_0_3 :
% 0.19/0.34                 [bind(A_1, $fot(X_8)), bind(B_0, $fot(X_8))]])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_14, plain, (~ 'LE'(f(X_8), s(0)) | 'E'(0, f(X_8))),
% 0.19/0.34      inference(resolve, [$cnf(iLEQ(X_8, X_8))],
% 0.19/0.34                [refute_0_12, refute_0_13])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_15, plain, (~ 'LE'(f(X_10), s(0)) | 'E'(0, f(X_10))),
% 0.19/0.34      inference(subst, [], [refute_0_14 : [bind(X_8, $fot(X_10))]])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_16, plain, ('E'(0, f(X_10)) | 'E'(s(0), f(X_10))),
% 0.19/0.34      inference(resolve, [$cnf('LE'(f(X_10), s(0)))],
% 0.19/0.34                [refute_0_11, refute_0_15])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_17, plain, ('E'(0, f(g(A_2))) | 'E'(s(0), f(g(A_2)))),
% 0.19/0.34      inference(subst, [], [refute_0_16 : [bind(X_10, $fot(g(A_2)))]])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_18, plain, (~ 'E'(s(0), f(A_2)) | 'E'(0, f(g(A_2)))),
% 0.19/0.34      inference(resolve, [$cnf('E'(s(0), f(g(A_2))))],
% 0.19/0.34                [refute_0_17, refute_0_10])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_19, plain, (~ 'E'(s(0), f(X_13)) | 'E'(0, f(g(X_13)))),
% 0.19/0.34      inference(subst, [], [refute_0_18 : [bind(A_2, $fot(X_13))]])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_20, plain, ('E'(0, f(g(X_13)))),
% 0.19/0.34      inference(resolve, [$cnf('E'(s(0), f(X_13)))],
% 0.19/0.34                [refute_0_8, refute_0_19])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_21, plain, (~ 'E'(0, f(A_3)) | ~ 'E'(0, f(g(A_3)))),
% 0.19/0.34      inference(resolve, [$cnf('E'(f(A_3), f(g(A_3))))],
% 0.19/0.34                [clause_11_03, clause_8_01])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_22, plain, (~ 'E'(0, f(X_14)) | ~ 'E'(0, f(g(X_14)))),
% 0.19/0.34      inference(subst, [], [refute_0_21 : [bind(A_3, $fot(X_14))]])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_23, plain, ('E'(0, f(g(X_14)))),
% 0.19/0.34      inference(subst, [], [refute_0_20 : [bind(X_13, $fot(X_14))]])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_24, plain, (~ 'E'(0, f(X_14))),
% 0.19/0.34      inference(resolve, [$cnf('E'(0, f(g(X_14))))],
% 0.19/0.34                [refute_0_23, refute_0_22])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_25, plain, (~ 'E'(0, f(g(X_13)))),
% 0.19/0.34      inference(subst, [], [refute_0_24 : [bind(X_14, $fot(g(X_13)))]])).
% 0.19/0.34  
% 0.19/0.34  cnf(refute_0_26, plain, ($false),
% 0.19/0.34      inference(resolve, [$cnf('E'(0, f(g(X_13))))],
% 0.19/0.34                [refute_0_20, refute_0_25])).
% 0.19/0.34  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.34  
%------------------------------------------------------------------------------