TSTP Solution File: SYO631-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYO631-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 : Fri May  3 03:38:31 EDT 2024

% Result   : Unsatisfiable 1.02s 1.15s
% Output   : CNFRefutation 1.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   26
% Syntax   : Number of clauses     :   80 (  17 unt;  29 nHn;  76 RR)
%            Number of literals    :  193 (   0 equ; 105 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :   11 (   3 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   90 (  13 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X0))
    | 'E'(f(X0),f(g(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27_01) ).

cnf(c_51,plain,
    ( ~ 'LE'(f(X0),s(s(s(s('0')))))
    | ~ iLEQ(X0,X1)
    | 'E'(s(s(s('0'))),f(X1))
    | 'LE'(f(X1),s(s(s('0')))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8_03) ).

cnf(c_52,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
    | ~ iLEQ(X0,X1)
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X1))
    | 'LE'(f(X1),s(s(s(s(s(s(s(s(s('0')))))))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_48_04) ).

cnf(c_54,plain,
    iLEQ(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18_06) ).

cnf(c_55,plain,
    ( ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X0)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X0))
    | 'E'(f(X0),f(g(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_44_07) ).

cnf(c_58,plain,
    iLEQ(X0,g(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_28_10) ).

cnf(c_59,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s('0')))))))
    | ~ iLEQ(X0,X1)
    | 'E'(s(s(s(s(s('0'))))),f(X1))
    | 'LE'(f(X1),s(s(s(s(s('0')))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5_11) ).

cnf(c_60,plain,
    ( ~ 'E'(s(s(s('0'))),f(g(X0)))
    | ~ 'E'(s(s(s('0'))),f(X0))
    | 'E'(f(X0),f(g(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29_12) ).

cnf(c_61,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
    | ~ iLEQ(X0,X1)
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X1))
    | 'LE'(f(X1),s(s(s(s(s(s(s(s('0'))))))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10_13) ).

cnf(c_64,plain,
    ( ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X0)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X0))
    | 'E'(f(X0),f(g(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11_16) ).

cnf(c_67,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s(s(s('0')))))))))
    | ~ iLEQ(X0,X1)
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X1))
    | 'LE'(f(X1),s(s(s(s(s(s(s('0')))))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26_19) ).

cnf(c_69,plain,
    ( ~ 'LE'(f(X0),s(s('0')))
    | ~ iLEQ(X0,X1)
    | 'E'(s('0'),f(X1))
    | 'LE'(f(X1),s('0')) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23_21) ).

cnf(c_70,plain,
    ( ~ 'E'(s(s('0')),f(g(X0)))
    | ~ 'E'(s(s('0')),f(X0))
    | 'E'(f(X0),f(g(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20_22) ).

cnf(c_71,plain,
    ( ~ 'E'(s(s(s(s(s('0'))))),f(g(X0)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(X0))
    | 'E'(f(X0),f(g(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_40_23) ).

cnf(c_73,plain,
    ( ~ 'E'('0',f(g(X0)))
    | ~ 'E'('0',f(X0))
    | 'E'(f(X0),f(g(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2_25) ).

cnf(c_79,plain,
    ( ~ 'LE'(f(X0),s('0'))
    | ~ iLEQ(X0,X1)
    | 'E'('0',f(X1))
    | 'LE'(f(X1),'0') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_56_31) ).

cnf(c_80,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X0)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X0))
    | 'E'(f(X0),f(g(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_42_32) ).

cnf(c_83,plain,
    ( ~ 'E'(s('0'),f(g(X0)))
    | ~ 'E'(s('0'),f(X0))
    | 'E'(f(X0),f(g(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30_35) ).

cnf(c_84,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s('0'))))))
    | ~ iLEQ(X0,X1)
    | 'E'(s(s(s(s('0')))),f(X1))
    | 'LE'(f(X1),s(s(s(s('0'))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_0_36) ).

cnf(c_87,plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X0))
    | 'LE'(f(X0),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_49_39) ).

cnf(c_93,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s(s('0'))))))))
    | ~ iLEQ(X0,X1)
    | 'E'(s(s(s(s(s(s('0')))))),f(X1))
    | 'LE'(f(X1),s(s(s(s(s(s('0'))))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_54_45) ).

cnf(c_96,plain,
    ( ~ 'E'(s(s(s(s('0')))),f(g(X0)))
    | ~ 'E'(s(s(s(s('0')))),f(X0))
    | 'E'(f(X0),f(g(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_55_48) ).

cnf(c_98,plain,
    ( ~ 'LE'(f(X0),s(s(s('0'))))
    | ~ iLEQ(X0,X1)
    | 'E'(s(s('0')),f(X1))
    | 'LE'(f(X1),s(s('0'))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_51_50) ).

cnf(c_100,plain,
    ~ 'LE'(f(X0),'0'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_38_52) ).

cnf(c_102,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X0)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X0))
    | 'E'(f(X0),f(g(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31_54) ).

cnf(c_103,plain,
    ~ 'E'(f(X0),f(g(X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_34_55) ).

cnf(c_139,plain,
    ( ~ 'E'(s(s('0')),f(X0))
    | ~ 'E'(s(s('0')),f(g(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_70,c_103,c_70]) ).

cnf(c_140,plain,
    ( ~ 'E'(s(s('0')),f(g(X0)))
    | ~ 'E'(s(s('0')),f(X0)) ),
    inference(renaming,[status(thm)],[c_139]) ).

cnf(c_142,plain,
    ( ~ 'E'(s(s(s('0'))),f(X0))
    | ~ 'E'(s(s(s('0'))),f(g(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_60,c_103,c_60]) ).

cnf(c_143,plain,
    ( ~ 'E'(s(s(s('0'))),f(g(X0)))
    | ~ 'E'(s(s(s('0'))),f(X0)) ),
    inference(renaming,[status(thm)],[c_142]) ).

cnf(c_160,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X0))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_49,c_103,c_49]) ).

cnf(c_161,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X0)) ),
    inference(renaming,[status(thm)],[c_160]) ).

cnf(c_163,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X0))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_80,c_103,c_80]) ).

cnf(c_164,plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X0)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X0)) ),
    inference(renaming,[status(thm)],[c_163]) ).

cnf(c_172,plain,
    ( ~ 'LE'(f(X0),s('0'))
    | ~ iLEQ(X0,X1)
    | 'E'('0',f(X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_79,c_100]) ).

cnf(c_302,plain,
    ( ~ 'LE'(f(X0),s('0'))
    | 'E'('0',f(g(X0))) ),
    inference(resolution,[status(thm)],[c_58,c_172]) ).

cnf(c_310,plain,
    ( ~ 'LE'(f(X0),s(s(s('0'))))
    | 'E'(s(s('0')),f(g(X0)))
    | 'LE'(f(g(X0)),s(s('0'))) ),
    inference(resolution,[status(thm)],[c_58,c_98]) ).

cnf(c_321,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s(s('0'))))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X0)))
    | 'LE'(f(g(X0)),s(s(s(s(s(s('0'))))))) ),
    inference(resolution,[status(thm)],[c_58,c_93]) ).

cnf(c_332,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s('0')))),f(g(X0)))
    | 'LE'(f(g(X0)),s(s(s(s('0'))))) ),
    inference(resolution,[status(thm)],[c_58,c_84]) ).

cnf(c_343,plain,
    ( ~ 'LE'(f(X0),s(s('0')))
    | 'E'(s('0'),f(g(X0)))
    | 'LE'(f(g(X0)),s('0')) ),
    inference(resolution,[status(thm)],[c_58,c_69]) ).

cnf(c_354,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s(s(s('0')))))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X0)))
    | 'LE'(f(g(X0)),s(s(s(s(s(s(s('0')))))))) ),
    inference(resolution,[status(thm)],[c_58,c_67]) ).

cnf(c_365,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X0)))
    | 'LE'(f(g(X0)),s(s(s(s(s(s(s(s('0'))))))))) ),
    inference(resolution,[status(thm)],[c_58,c_61]) ).

cnf(c_376,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X0)))
    | 'LE'(f(g(X0)),s(s(s(s(s('0')))))) ),
    inference(resolution,[status(thm)],[c_58,c_59]) ).

cnf(c_387,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0)))
    | 'LE'(f(g(X0)),s(s(s(s(s(s(s(s(s('0')))))))))) ),
    inference(resolution,[status(thm)],[c_58,c_52]) ).

cnf(c_398,plain,
    ( ~ 'LE'(f(X0),s(s(s(s('0')))))
    | 'E'(s(s(s('0'))),f(g(X0)))
    | 'LE'(f(g(X0)),s(s(s('0')))) ),
    inference(resolution,[status(thm)],[c_58,c_51]) ).

cnf(c_409,plain,
    ( ~ 'LE'(f(X0),s('0'))
    | 'E'('0',f(X0)) ),
    inference(resolution,[status(thm)],[c_172,c_54]) ).

cnf(c_411,plain,
    ~ 'LE'(f(X0),s('0')),
    inference(global_subsumption_just,[status(thm)],[c_409,c_103,c_73,c_302,c_409]) ).

cnf(c_417,plain,
    ( ~ 'LE'(f(X0),s(s('0')))
    | 'E'(s('0'),f(g(X0))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_343,c_411]) ).

cnf(c_419,plain,
    ( ~ 'LE'(f(X0),s(s(s('0'))))
    | 'E'(s(s('0')),f(X0))
    | 'LE'(f(X0),s(s('0'))) ),
    inference(resolution,[status(thm)],[c_98,c_54]) ).

cnf(c_430,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s(s('0'))))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(X0))
    | 'LE'(f(X0),s(s(s(s(s(s('0'))))))) ),
    inference(resolution,[status(thm)],[c_93,c_54]) ).

cnf(c_441,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s('0')))),f(X0))
    | 'LE'(f(X0),s(s(s(s('0'))))) ),
    inference(resolution,[status(thm)],[c_84,c_54]) ).

cnf(c_452,plain,
    ( ~ 'LE'(f(X0),s(s('0')))
    | 'E'(s('0'),f(X0))
    | 'LE'(f(X0),s('0')) ),
    inference(resolution,[status(thm)],[c_69,c_54]) ).

cnf(c_454,plain,
    ~ 'LE'(f(X0),s(s('0'))),
    inference(global_subsumption_just,[status(thm)],[c_452,c_103,c_83,c_411,c_417,c_452]) ).

cnf(c_460,plain,
    ( ~ 'LE'(f(X0),s(s(s('0'))))
    | 'E'(s(s('0')),f(g(X0))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_310,c_454]) ).

cnf(c_461,plain,
    ( ~ 'LE'(f(X0),s(s(s('0'))))
    | 'E'(s(s('0')),f(X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_419,c_454]) ).

cnf(c_464,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s(s(s('0')))))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X0))
    | 'LE'(f(X0),s(s(s(s(s(s(s('0')))))))) ),
    inference(resolution,[status(thm)],[c_67,c_54]) ).

cnf(c_475,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X0))
    | 'LE'(f(X0),s(s(s(s(s(s(s(s('0'))))))))) ),
    inference(resolution,[status(thm)],[c_61,c_54]) ).

cnf(c_486,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s('0'))))),f(X0))
    | 'LE'(f(X0),s(s(s(s(s('0')))))) ),
    inference(resolution,[status(thm)],[c_59,c_54]) ).

cnf(c_497,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X0))
    | 'LE'(f(X0),s(s(s(s(s(s(s(s(s('0')))))))))) ),
    inference(resolution,[status(thm)],[c_52,c_54]) ).

cnf(c_508,plain,
    ( ~ 'LE'(f(X0),s(s(s(s('0')))))
    | 'E'(s(s(s('0'))),f(X0))
    | 'LE'(f(X0),s(s(s('0')))) ),
    inference(resolution,[status(thm)],[c_51,c_54]) ).

cnf(c_510,plain,
    ( 'E'(s(s(s('0'))),f(X0))
    | ~ 'LE'(f(X0),s(s(s(s('0'))))) ),
    inference(global_subsumption_just,[status(thm)],[c_508,c_140,c_461,c_460,c_508]) ).

cnf(c_511,plain,
    ( ~ 'LE'(f(X0),s(s(s(s('0')))))
    | 'E'(s(s(s('0'))),f(X0)) ),
    inference(renaming,[status(thm)],[c_510]) ).

cnf(c_569,plain,
    ~ 'LE'(f(X0),s(s(s('0')))),
    inference(global_subsumption_just,[status(thm)],[c_460,c_140,c_461,c_460]) ).

cnf(c_571,plain,
    ( ~ 'LE'(f(X0),s(s(s(s('0')))))
    | 'LE'(f(g(X0)),s(s(s('0')))) ),
    inference(global_subsumption_just,[status(thm)],[c_398,c_143,c_398,c_511]) ).

cnf(c_580,plain,
    ~ 'LE'(f(X0),s(s(s(s('0'))))),
    inference(backward_subsumption_resolution,[status(thm)],[c_571,c_569]) ).

cnf(c_585,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s('0')))),f(g(X0))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_332,c_580]) ).

cnf(c_587,plain,
    ~ 'LE'(f(X0),s(s(s(s(s('0')))))),
    inference(global_subsumption_just,[status(thm)],[c_585,c_103,c_96,c_441,c_580,c_585]) ).

cnf(c_593,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s('0'))))),f(g(X0))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_376,c_587]) ).

cnf(c_595,plain,
    ~ 'LE'(f(X0),s(s(s(s(s(s('0'))))))),
    inference(global_subsumption_just,[status(thm)],[c_593,c_103,c_71,c_486,c_587,c_593]) ).

cnf(c_601,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s(s('0'))))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(g(X0))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_321,c_595]) ).

cnf(c_603,plain,
    ~ 'LE'(f(X0),s(s(s(s(s(s(s('0')))))))),
    inference(global_subsumption_just,[status(thm)],[c_601,c_103,c_64,c_430,c_595,c_601]) ).

cnf(c_609,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s(s(s('0')))))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X0))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_354,c_603]) ).

cnf(c_611,plain,
    ~ 'LE'(f(X0),s(s(s(s(s(s(s(s('0'))))))))),
    inference(global_subsumption_just,[status(thm)],[c_609,c_103,c_55,c_464,c_603,c_609]) ).

cnf(c_617,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X0))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_365,c_611]) ).

cnf(c_619,plain,
    ~ 'LE'(f(X0),s(s(s(s(s(s(s(s(s('0')))))))))),
    inference(global_subsumption_just,[status(thm)],[c_617,c_103,c_102,c_475,c_611,c_617]) ).

cnf(c_625,plain,
    ( ~ 'LE'(f(X0),s(s(s(s(s(s(s(s(s(s('0')))))))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X0))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_387,c_619]) ).

cnf(c_627,plain,
    ~ 'LE'(f(X0),s(s(s(s(s(s(s(s(s(s('0'))))))))))),
    inference(global_subsumption_just,[status(thm)],[c_625,c_161,c_497,c_619,c_625]) ).

cnf(c_632,plain,
    'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X0)),
    inference(backward_subsumption_resolution,[status(thm)],[c_87,c_627]) ).

cnf(c_636,plain,
    ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X0)),
    inference(backward_subsumption_resolution,[status(thm)],[c_164,c_632]) ).

cnf(c_637,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_636,c_627,c_87]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYO631-1 : TPTP v8.1.2. Released v7.1.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n006.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 : Thu May  2 20:01:34 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.02/1.15  % SZS status Started for theBenchmark.p
% 1.02/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 1.02/1.15  
% 1.02/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.02/1.15  
% 1.02/1.15  ------  iProver source info
% 1.02/1.15  
% 1.02/1.15  git: date: 2024-05-02 19:28:25 +0000
% 1.02/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.02/1.15  git: non_committed_changes: false
% 1.02/1.15  
% 1.02/1.15  ------ Parsing...successful
% 1.02/1.15  
% 1.02/1.15  
% 1.02/1.15  
% 1.02/1.15  ------ Preprocessing... sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s pe_e 
% 1.02/1.15  
% 1.02/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 1.02/1.15  
% 1.02/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.02/1.15  
% 1.02/1.15  
%------------------------------------------------------------------------------