TSTP Solution File: GRP709-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP709-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% 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 : Fri May  3 02:23:31 EDT 2024

% Result   : Unsatisfiable 7.87s 1.66s
% Output   : CNFRefutation 7.87s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    mult(X0,ld(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).

cnf(c_50,plain,
    ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).

cnf(c_51,plain,
    mult(rd(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).

cnf(c_52,plain,
    rd(mult(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).

cnf(c_53,plain,
    mult(X0,unit) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).

cnf(c_54,plain,
    mult(unit,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).

cnf(c_55,plain,
    mult(mult(X0,mult(X1,X0)),X2) = mult(X0,mult(X1,mult(X0,X2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).

cnf(c_56,plain,
    mult(X0,op_c) = mult(op_c,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).

cnf(c_57,plain,
    mult(mult(X0,X1),op_c) = mult(X0,mult(X1,op_c)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).

cnf(c_58,negated_conjecture,
    mult(mult(mult(op_c,op_c),a),b) != mult(mult(op_c,op_c),mult(a,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(c_88,plain,
    mult(X0,mult(X1,op_c)) = mult(op_c,mult(X0,X1)),
    inference(demodulation,[status(thm)],[c_57,c_56]) ).

cnf(c_95,plain,
    mult(op_c,op_c) = sP0_iProver_def,
    definition ).

cnf(c_96,plain,
    mult(sP0_iProver_def,a) = sP1_iProver_def,
    definition ).

cnf(c_97,plain,
    mult(sP1_iProver_def,b) = sP2_iProver_def,
    definition ).

cnf(c_98,plain,
    mult(a,b) = sP3_iProver_def,
    definition ).

cnf(c_99,plain,
    mult(sP0_iProver_def,sP3_iProver_def) = sP4_iProver_def,
    definition ).

cnf(c_100,negated_conjecture,
    sP2_iProver_def != sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_58,c_98,c_99,c_95,c_96,c_97]) ).

cnf(c_164,plain,
    mult(op_c,mult(X0,op_c)) = mult(X0,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_95,c_88]) ).

cnf(c_171,plain,
    mult(X0,mult(mult(X1,op_c),op_c)) = mult(op_c,mult(op_c,mult(X0,X1))),
    inference(superposition,[status(thm)],[c_88,c_88]) ).

cnf(c_173,plain,
    mult(X0,mult(op_c,op_c)) = mult(op_c,mult(op_c,X0)),
    inference(superposition,[status(thm)],[c_88,c_88]) ).

cnf(c_178,plain,
    mult(op_c,mult(op_c,X0)) = mult(X0,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_173,c_95]) ).

cnf(c_185,plain,
    mult(X0,mult(ld(X0,X1),op_c)) = mult(op_c,X1),
    inference(superposition,[status(thm)],[c_49,c_88]) ).

cnf(c_202,plain,
    ld(rd(X0,X1),X0) = X1,
    inference(superposition,[status(thm)],[c_51,c_50]) ).

cnf(c_204,plain,
    mult(op_c,mult(X0,rd(X1,op_c))) = mult(X0,X1),
    inference(superposition,[status(thm)],[c_51,c_88]) ).

cnf(c_290,plain,
    rd(mult(op_c,X0),op_c) = X0,
    inference(superposition,[status(thm)],[c_56,c_52]) ).

cnf(c_291,plain,
    ld(X0,mult(op_c,X0)) = op_c,
    inference(superposition,[status(thm)],[c_56,c_50]) ).

cnf(c_296,plain,
    mult(X0,mult(op_c,X1)) = mult(op_c,mult(X0,X1)),
    inference(superposition,[status(thm)],[c_56,c_88]) ).

cnf(c_309,plain,
    mult(op_c,mult(X0,mult(op_c,X1))) = mult(mult(X0,sP0_iProver_def),X1),
    inference(superposition,[status(thm)],[c_164,c_55]) ).

cnf(c_326,plain,
    rd(mult(X0,mult(X1,mult(X0,X2))),X2) = mult(X0,mult(X1,X0)),
    inference(superposition,[status(thm)],[c_55,c_52]) ).

cnf(c_428,plain,
    ld(op_c,X0) = rd(X0,op_c),
    inference(superposition,[status(thm)],[c_49,c_290]) ).

cnf(c_450,plain,
    ld(mult(X0,op_c),mult(X0,sP0_iProver_def)) = op_c,
    inference(superposition,[status(thm)],[c_164,c_291]) ).

cnf(c_542,plain,
    mult(ld(op_c,X0),sP0_iProver_def) = mult(op_c,X0),
    inference(superposition,[status(thm)],[c_49,c_178]) ).

cnf(c_550,plain,
    ld(op_c,mult(X0,sP0_iProver_def)) = mult(op_c,X0),
    inference(superposition,[status(thm)],[c_178,c_50]) ).

cnf(c_625,plain,
    mult(mult(X0,op_c),op_c) = mult(X0,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_450,c_49]) ).

cnf(c_671,plain,
    mult(mult(X0,X1),sP0_iProver_def) = mult(X0,mult(X1,sP0_iProver_def)),
    inference(demodulation,[status(thm)],[c_171,c_178,c_625]) ).

cnf(c_682,plain,
    mult(a,mult(b,sP0_iProver_def)) = mult(sP3_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_98,c_671]) ).

cnf(c_754,plain,
    rd(mult(op_c,X0),sP0_iProver_def) = ld(op_c,X0),
    inference(superposition,[status(thm)],[c_542,c_52]) ).

cnf(c_809,plain,
    ld(op_c,mult(op_c,X0)) = mult(op_c,ld(op_c,X0)),
    inference(superposition,[status(thm)],[c_542,c_550]) ).

cnf(c_862,plain,
    rd(mult(sP3_iProver_def,sP0_iProver_def),mult(b,sP0_iProver_def)) = a,
    inference(superposition,[status(thm)],[c_682,c_52]) ).

cnf(c_917,plain,
    ld(op_c,ld(op_c,X0)) = rd(X0,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_49,c_754]) ).

cnf(c_1005,plain,
    mult(X0,mult(op_c,ld(X0,X1))) = mult(op_c,X1),
    inference(demodulation,[status(thm)],[c_185,c_56]) ).

cnf(c_1029,plain,
    rd(mult(op_c,X0),mult(op_c,ld(X1,X0))) = X1,
    inference(superposition,[status(thm)],[c_1005,c_52]) ).

cnf(c_1410,plain,
    mult(op_c,mult(X0,ld(op_c,X1))) = mult(X0,X1),
    inference(demodulation,[status(thm)],[c_204,c_428]) ).

cnf(c_1755,plain,
    mult(op_c,mult(X0,mult(op_c,X1))) = mult(mult(X0,X1),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_296,c_178]) ).

cnf(c_1776,plain,
    mult(op_c,mult(X0,mult(op_c,X1))) = mult(X0,mult(X1,sP0_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_1755,c_309,c_671]) ).

cnf(c_2447,plain,
    mult(mult(X0,sP0_iProver_def),X1) = mult(X0,mult(X1,sP0_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_309,c_1776]) ).

cnf(c_2456,plain,
    mult(unit,mult(X0,sP0_iProver_def)) = mult(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_54,c_2447]) ).

cnf(c_2851,plain,
    mult(X0,sP0_iProver_def) = mult(sP0_iProver_def,X0),
    inference(demodulation,[status(thm)],[c_2456,c_54]) ).

cnf(c_2853,plain,
    mult(X0,mult(X1,sP0_iProver_def)) = mult(sP0_iProver_def,mult(X0,X1)),
    inference(demodulation,[status(thm)],[c_671,c_2851]) ).

cnf(c_2857,plain,
    rd(mult(sP3_iProver_def,sP0_iProver_def),mult(sP0_iProver_def,b)) = a,
    inference(demodulation,[status(thm)],[c_862,c_2851]) ).

cnf(c_2863,plain,
    mult(sP0_iProver_def,ld(op_c,X0)) = mult(op_c,X0),
    inference(demodulation,[status(thm)],[c_542,c_2851]) ).

cnf(c_2881,plain,
    rd(mult(sP0_iProver_def,X0),sP0_iProver_def) = X0,
    inference(superposition,[status(thm)],[c_2851,c_52]) ).

cnf(c_2882,plain,
    ld(X0,mult(sP0_iProver_def,X0)) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_2851,c_50]) ).

cnf(c_2893,plain,
    mult(mult(sP0_iProver_def,X0),X1) = mult(X0,mult(X1,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_2851,c_2447]) ).

cnf(c_3165,plain,
    ld(sP0_iProver_def,X0) = rd(X0,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_49,c_2881]) ).

cnf(c_3182,plain,
    ld(op_c,ld(op_c,X0)) = ld(sP0_iProver_def,X0),
    inference(demodulation,[status(thm)],[c_917,c_3165]) ).

cnf(c_3195,plain,
    ld(a,sP1_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_96,c_2882]) ).

cnf(c_3196,plain,
    ld(sP3_iProver_def,sP4_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_99,c_2882]) ).

cnf(c_3213,plain,
    mult(a,sP0_iProver_def) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_3195,c_49]) ).

cnf(c_3222,plain,
    mult(sP3_iProver_def,sP0_iProver_def) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_3196,c_49]) ).

cnf(c_3924,plain,
    rd(sP4_iProver_def,mult(sP0_iProver_def,b)) = a,
    inference(light_normalisation,[status(thm)],[c_2857,c_3222]) ).

cnf(c_3926,plain,
    mult(a,mult(sP0_iProver_def,b)) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_3924,c_51]) ).

cnf(c_4027,plain,
    mult(op_c,mult(op_c,X0)) = mult(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_2863,c_1410]) ).

cnf(c_4609,plain,
    mult(op_c,ld(op_c,X0)) = mult(sP0_iProver_def,ld(sP0_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_3182,c_2863]) ).

cnf(c_7277,plain,
    rd(op_c,mult(op_c,ld(X0,unit))) = X0,
    inference(superposition,[status(thm)],[c_53,c_1029]) ).

cnf(c_7280,plain,
    rd(sP0_iProver_def,mult(op_c,ld(X0,op_c))) = X0,
    inference(superposition,[status(thm)],[c_95,c_1029]) ).

cnf(c_7505,plain,
    rd(op_c,mult(op_c,X0)) = rd(unit,X0),
    inference(superposition,[status(thm)],[c_202,c_7277]) ).

cnf(c_7512,plain,
    mult(op_c,ld(X0,unit)) = ld(X0,op_c),
    inference(superposition,[status(thm)],[c_7277,c_202]) ).

cnf(c_7589,plain,
    mult(op_c,ld(X0,op_c)) = ld(X0,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_7280,c_202]) ).

cnf(c_8241,plain,
    ld(rd(unit,X0),op_c) = mult(op_c,X0),
    inference(superposition,[status(thm)],[c_7505,c_202]) ).

cnf(c_8309,plain,
    ld(op_c,ld(X0,op_c)) = ld(X0,unit),
    inference(superposition,[status(thm)],[c_7512,c_50]) ).

cnf(c_8315,plain,
    mult(op_c,ld(X0,op_c)) = mult(sP0_iProver_def,ld(X0,unit)),
    inference(superposition,[status(thm)],[c_7512,c_4027]) ).

cnf(c_8329,plain,
    mult(sP0_iProver_def,ld(X0,unit)) = ld(X0,sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_8315,c_7589]) ).

cnf(c_8671,plain,
    mult(sP0_iProver_def,mult(a,sP0_iProver_def)) = rd(mult(sP0_iProver_def,sP4_iProver_def),b),
    inference(superposition,[status(thm)],[c_3926,c_326]) ).

cnf(c_8733,plain,
    rd(mult(sP0_iProver_def,sP4_iProver_def),b) = mult(sP0_iProver_def,sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_8671,c_3213]) ).

cnf(c_9172,plain,
    ld(rd(unit,X0),sP0_iProver_def) = mult(op_c,mult(op_c,X0)),
    inference(superposition,[status(thm)],[c_8241,c_7589]) ).

cnf(c_9175,plain,
    ld(rd(unit,X0),sP0_iProver_def) = mult(sP0_iProver_def,X0),
    inference(light_normalisation,[status(thm)],[c_9172,c_4027]) ).

cnf(c_9193,plain,
    ld(rd(unit,X0),unit) = ld(op_c,mult(op_c,X0)),
    inference(superposition,[status(thm)],[c_8241,c_8309]) ).

cnf(c_9218,plain,
    ld(rd(unit,X0),unit) = mult(sP0_iProver_def,ld(sP0_iProver_def,X0)),
    inference(light_normalisation,[status(thm)],[c_9193,c_809,c_4609]) ).

cnf(c_9304,plain,
    ld(sP0_iProver_def,ld(X0,sP0_iProver_def)) = ld(X0,unit),
    inference(superposition,[status(thm)],[c_8329,c_50]) ).

cnf(c_11228,plain,
    mult(mult(sP0_iProver_def,sP1_iProver_def),b) = mult(sP0_iProver_def,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_8733,c_51]) ).

cnf(c_11440,plain,
    ld(rd(unit,X0),unit) = ld(sP0_iProver_def,mult(sP0_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_9175,c_9304]) ).

cnf(c_11450,plain,
    ld(sP0_iProver_def,mult(sP0_iProver_def,X0)) = mult(sP0_iProver_def,ld(sP0_iProver_def,X0)),
    inference(light_normalisation,[status(thm)],[c_11440,c_9218]) ).

cnf(c_12041,plain,
    mult(sP0_iProver_def,sP2_iProver_def) = mult(sP0_iProver_def,sP4_iProver_def),
    inference(demodulation,[status(thm)],[c_11228,c_97,c_2853,c_2893]) ).

cnf(c_12048,plain,
    ld(sP0_iProver_def,mult(sP0_iProver_def,sP2_iProver_def)) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_12041,c_50]) ).

cnf(c_12157,plain,
    sP2_iProver_def = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_12048,c_49,c_11450]) ).

cnf(c_12158,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_12157,c_100]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP709-1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri May  3 00:21:05 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running UEQ theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.87/1.66  % SZS status Started for theBenchmark.p
% 7.87/1.66  % SZS status Unsatisfiable for theBenchmark.p
% 7.87/1.66  
% 7.87/1.66  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.87/1.66  
% 7.87/1.66  ------  iProver source info
% 7.87/1.66  
% 7.87/1.66  git: date: 2024-05-02 19:28:25 +0000
% 7.87/1.66  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.87/1.66  git: non_committed_changes: false
% 7.87/1.66  
% 7.87/1.66  ------ Parsing...successful
% 7.87/1.66  
% 7.87/1.66  
% 7.87/1.66  
% 7.87/1.66  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.87/1.66  
% 7.87/1.66  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.87/1.66  
% 7.87/1.66  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 7.87/1.66  ------ Proving...
% 7.87/1.66  ------ Problem Properties 
% 7.87/1.66  
% 7.87/1.66  
% 7.87/1.66  clauses                                 15
% 7.87/1.66  conjectures                             1
% 7.87/1.66  EPR                                     1
% 7.87/1.66  Horn                                    15
% 7.87/1.66  unary                                   15
% 7.87/1.66  binary                                  0
% 7.87/1.66  lits                                    15
% 7.87/1.66  lits eq                                 15
% 7.87/1.66  fd_pure                                 0
% 7.87/1.66  fd_pseudo                               0
% 7.87/1.66  fd_cond                                 0
% 7.87/1.66  fd_pseudo_cond                          0
% 7.87/1.66  AC symbols                              0
% 7.87/1.66  
% 7.87/1.66  ------ Input Options Time Limit: Unbounded
% 7.87/1.66  
% 7.87/1.66  
% 7.87/1.66  ------ 
% 7.87/1.66  Current options:
% 7.87/1.66  ------ 
% 7.87/1.66  
% 7.87/1.66  
% 7.87/1.66  
% 7.87/1.66  
% 7.87/1.66  ------ Proving...
% 7.87/1.66  
% 7.87/1.66  
% 7.87/1.66  % SZS status Unsatisfiable for theBenchmark.p
% 7.87/1.66  
% 7.87/1.66  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.87/1.66  
% 7.87/1.66  
%------------------------------------------------------------------------------