TSTP Solution File: GRP535-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP535-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 02:22:51 EDT 2024

% Result   : Unsatisfiable 3.72s 1.19s
% Output   : CNFRefutation 3.72s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    divide(divide(X0,divide(divide(X0,X1),X2)),X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

cnf(c_50,plain,
    divide(X0,divide(divide(X1,X1),X2)) = multiply(X0,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

cnf(c_51,plain,
    divide(divide(X0,X0),X1) = inverse(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).

cnf(c_52,plain,
    divide(X0,X0) = identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).

cnf(c_53,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).

cnf(c_68,plain,
    divide(identity,X0) = inverse(X0),
    inference(light_normalisation,[status(thm)],[c_51,c_52]) ).

cnf(c_69,plain,
    divide(X0,inverse(X1)) = multiply(X0,X1),
    inference(demodulation,[status(thm)],[c_50,c_52,c_68]) ).

cnf(c_76,plain,
    multiply(a3,b3) = sP0_iProver_def,
    definition ).

cnf(c_77,plain,
    multiply(sP0_iProver_def,c3) = sP1_iProver_def,
    definition ).

cnf(c_78,plain,
    multiply(b3,c3) = sP2_iProver_def,
    definition ).

cnf(c_79,plain,
    multiply(a3,sP2_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_80,negated_conjecture,
    sP1_iProver_def != sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_53,c_78,c_79,c_76,c_77]) ).

cnf(c_131,plain,
    multiply(inverse(X0),X0) = identity,
    inference(superposition,[status(thm)],[c_69,c_52]) ).

cnf(c_132,plain,
    multiply(identity,X0) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_69,c_68]) ).

cnf(c_139,plain,
    divide(divide(X0,identity),X1) = divide(X0,X1),
    inference(superposition,[status(thm)],[c_52,c_49]) ).

cnf(c_140,plain,
    divide(divide(X0,multiply(divide(X0,X1),X2)),X1) = inverse(X2),
    inference(superposition,[status(thm)],[c_69,c_49]) ).

cnf(c_142,plain,
    divide(divide(X0,divide(identity,X1)),X0) = X1,
    inference(superposition,[status(thm)],[c_52,c_49]) ).

cnf(c_146,plain,
    divide(divide(X0,X1),divide(divide(X0,X2),X1)) = X2,
    inference(superposition,[status(thm)],[c_49,c_49]) ).

cnf(c_190,plain,
    multiply(divide(X0,identity),X1) = divide(X0,inverse(X1)),
    inference(superposition,[status(thm)],[c_139,c_69]) ).

cnf(c_192,plain,
    multiply(divide(X0,identity),X1) = multiply(X0,X1),
    inference(light_normalisation,[status(thm)],[c_190,c_69]) ).

cnf(c_232,plain,
    divide(multiply(X0,X1),X0) = X1,
    inference(demodulation,[status(thm)],[c_142,c_68,c_69]) ).

cnf(c_234,plain,
    divide(sP0_iProver_def,a3) = b3,
    inference(superposition,[status(thm)],[c_76,c_232]) ).

cnf(c_235,plain,
    divide(sP2_iProver_def,b3) = c3,
    inference(superposition,[status(thm)],[c_78,c_232]) ).

cnf(c_236,plain,
    divide(sP1_iProver_def,sP0_iProver_def) = c3,
    inference(superposition,[status(thm)],[c_77,c_232]) ).

cnf(c_237,plain,
    divide(sP3_iProver_def,a3) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_79,c_232]) ).

cnf(c_238,plain,
    divide(identity,inverse(X0)) = X0,
    inference(superposition,[status(thm)],[c_131,c_232]) ).

cnf(c_242,plain,
    multiply(multiply(inverse(X0),X1),X0) = X1,
    inference(superposition,[status(thm)],[c_232,c_69]) ).

cnf(c_300,plain,
    multiply(identity,X0) = X0,
    inference(demodulation,[status(thm)],[c_238,c_68,c_132]) ).

cnf(c_302,plain,
    inverse(inverse(X0)) = X0,
    inference(demodulation,[status(thm)],[c_132,c_300]) ).

cnf(c_306,plain,
    divide(X0,identity) = X0,
    inference(superposition,[status(thm)],[c_300,c_232]) ).

cnf(c_419,plain,
    multiply(X0,inverse(X1)) = divide(X0,X1),
    inference(superposition,[status(thm)],[c_302,c_69]) ).

cnf(c_431,plain,
    divide(X0,divide(divide(X0,identity),X1)) = X1,
    inference(superposition,[status(thm)],[c_306,c_49]) ).

cnf(c_433,plain,
    divide(X0,multiply(divide(X0,identity),X1)) = inverse(X1),
    inference(superposition,[status(thm)],[c_306,c_140]) ).

cnf(c_440,plain,
    divide(X0,divide(X0,X1)) = X1,
    inference(light_normalisation,[status(thm)],[c_431,c_306]) ).

cnf(c_442,plain,
    divide(X0,multiply(X0,X1)) = inverse(X1),
    inference(light_normalisation,[status(thm)],[c_433,c_192]) ).

cnf(c_470,plain,
    divide(multiply(X0,X1),X1) = X0,
    inference(superposition,[status(thm)],[c_232,c_440]) ).

cnf(c_474,plain,
    divide(sP3_iProver_def,sP2_iProver_def) = a3,
    inference(superposition,[status(thm)],[c_237,c_440]) ).

cnf(c_523,plain,
    multiply(inverse(X0),X1) = divide(X1,X0),
    inference(superposition,[status(thm)],[c_242,c_470]) ).

cnf(c_578,plain,
    divide(divide(X0,X1),inverse(X1)) = X0,
    inference(superposition,[status(thm)],[c_419,c_470]) ).

cnf(c_579,plain,
    divide(divide(X0,X1),X0) = inverse(X1),
    inference(superposition,[status(thm)],[c_419,c_232]) ).

cnf(c_612,plain,
    divide(X0,inverse(X1)) = multiply(X1,X0),
    inference(superposition,[status(thm)],[c_302,c_523]) ).

cnf(c_620,plain,
    multiply(X0,divide(X1,X0)) = X1,
    inference(demodulation,[status(thm)],[c_578,c_612]) ).

cnf(c_637,plain,
    multiply(sP2_iProver_def,a3) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_474,c_620]) ).

cnf(c_666,plain,
    divide(sP2_iProver_def,sP3_iProver_def) = inverse(a3),
    inference(superposition,[status(thm)],[c_637,c_442]) ).

cnf(c_702,plain,
    divide(b3,sP0_iProver_def) = inverse(a3),
    inference(superposition,[status(thm)],[c_234,c_579]) ).

cnf(c_704,plain,
    divide(c3,sP1_iProver_def) = inverse(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_236,c_579]) ).

cnf(c_727,plain,
    divide(inverse(a3),b3) = inverse(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_702,c_579]) ).

cnf(c_751,plain,
    divide(c3,inverse(sP0_iProver_def)) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_704,c_440]) ).

cnf(c_784,plain,
    divide(c3,divide(divide(sP2_iProver_def,X0),b3)) = X0,
    inference(superposition,[status(thm)],[c_235,c_146]) ).

cnf(c_1439,plain,
    divide(c3,divide(inverse(a3),b3)) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_666,c_784]) ).

cnf(c_1445,plain,
    sP1_iProver_def = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_1439,c_727,c_751]) ).

cnf(c_1446,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1445,c_80]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP535-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n020.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 23:51:46 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.48  Running UEQ theorem proving
% 0.20/0.48  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
% 3.72/1.19  % SZS status Started for theBenchmark.p
% 3.72/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 3.72/1.19  
% 3.72/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.72/1.19  
% 3.72/1.19  ------  iProver source info
% 3.72/1.19  
% 3.72/1.19  git: date: 2024-05-02 19:28:25 +0000
% 3.72/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.72/1.19  git: non_committed_changes: false
% 3.72/1.19  
% 3.72/1.19  ------ Parsing...successful
% 3.72/1.19  
% 3.72/1.19  
% 3.72/1.19  
% 3.72/1.19  ------ Preprocessing... sup_sim: 2  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.72/1.19  
% 3.72/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.72/1.19  
% 3.72/1.19  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.72/1.19  ------ Proving...
% 3.72/1.19  ------ Problem Properties 
% 3.72/1.19  
% 3.72/1.19  
% 3.72/1.19  clauses                                 9
% 3.72/1.19  conjectures                             1
% 3.72/1.19  EPR                                     1
% 3.72/1.19  Horn                                    9
% 3.72/1.19  unary                                   9
% 3.72/1.19  binary                                  0
% 3.72/1.19  lits                                    9
% 3.72/1.19  lits eq                                 9
% 3.72/1.19  fd_pure                                 0
% 3.72/1.19  fd_pseudo                               0
% 3.72/1.19  fd_cond                                 0
% 3.72/1.19  fd_pseudo_cond                          0
% 3.72/1.19  AC symbols                              0
% 3.72/1.19  
% 3.72/1.19  ------ Input Options Time Limit: Unbounded
% 3.72/1.19  
% 3.72/1.19  
% 3.72/1.19  ------ 
% 3.72/1.19  Current options:
% 3.72/1.19  ------ 
% 3.72/1.19  
% 3.72/1.19  
% 3.72/1.19  
% 3.72/1.19  
% 3.72/1.19  ------ Proving...
% 3.72/1.19  
% 3.72/1.19  
% 3.72/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 3.72/1.19  
% 3.72/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.72/1.19  
% 3.72/1.19  
%------------------------------------------------------------------------------