TSTP Solution File: GRP544-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP544-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n015.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 02:22:52 EDT 2024

% Result   : Unsatisfiable 3.50s 1.64s
% Output   : CNFRefutation 3.50s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

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

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

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

cnf(c_53,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).

cnf(c_68,plain,
    divide(X0,inverse(X1)) = multiply(X0,X1),
    inference(demodulation,[status(thm)],[c_50,c_51]) ).

cnf(c_69,plain,
    divide(inverse(divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
    inference(demodulation,[status(thm)],[c_49,c_51]) ).

cnf(c_77,plain,
    multiply(a,b) = sP0_iProver_def,
    definition ).

cnf(c_78,plain,
    multiply(b,a) = sP1_iProver_def,
    definition ).

cnf(c_79,negated_conjecture,
    sP0_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_53,c_78,c_77]) ).

cnf(c_127,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_52,c_51]) ).

cnf(c_132,plain,
    multiply(identity,X0) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_68,c_51]) ).

cnf(c_133,plain,
    multiply(inverse(X0),X0) = identity,
    inference(superposition,[status(thm)],[c_68,c_52]) ).

cnf(c_137,plain,
    multiply(identity,identity) = identity,
    inference(superposition,[status(thm)],[c_127,c_133]) ).

cnf(c_143,plain,
    divide(inverse(divide(identity,X0)),divide(X0,X1)) = X1,
    inference(superposition,[status(thm)],[c_52,c_69]) ).

cnf(c_146,plain,
    divide(inverse(divide(divide(identity,X0),X1)),X0) = X1,
    inference(superposition,[status(thm)],[c_52,c_69]) ).

cnf(c_151,plain,
    divide(inverse(divide(inverse(X0),X1)),X0) = X1,
    inference(light_normalisation,[status(thm)],[c_146,c_51]) ).

cnf(c_152,plain,
    divide(multiply(identity,X0),divide(X0,X1)) = X1,
    inference(light_normalisation,[status(thm)],[c_143,c_51,c_132]) ).

cnf(c_178,plain,
    divide(inverse(X0),divide(inverse(X1),X0)) = X1,
    inference(superposition,[status(thm)],[c_151,c_151]) ).

cnf(c_210,plain,
    divide(multiply(identity,identity),inverse(X0)) = X0,
    inference(superposition,[status(thm)],[c_51,c_152]) ).

cnf(c_218,plain,
    divide(identity,inverse(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_210,c_137]) ).

cnf(c_230,plain,
    multiply(identity,X0) = X0,
    inference(demodulation,[status(thm)],[c_218,c_51,c_132]) ).

cnf(c_231,plain,
    divide(X0,divide(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_152,c_230]) ).

cnf(c_232,plain,
    inverse(inverse(X0)) = X0,
    inference(demodulation,[status(thm)],[c_132,c_230]) ).

cnf(c_287,plain,
    divide(X0,multiply(X0,X1)) = inverse(X1),
    inference(superposition,[status(thm)],[c_68,c_231]) ).

cnf(c_329,plain,
    divide(a,sP0_iProver_def) = inverse(b),
    inference(superposition,[status(thm)],[c_77,c_287]) ).

cnf(c_341,plain,
    divide(a,inverse(b)) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_329,c_231]) ).

cnf(c_418,plain,
    divide(inverse(inverse(X0)),multiply(inverse(X1),X0)) = X1,
    inference(superposition,[status(thm)],[c_68,c_178]) ).

cnf(c_430,plain,
    divide(X0,multiply(inverse(X1),X0)) = X1,
    inference(light_normalisation,[status(thm)],[c_418,c_232]) ).

cnf(c_443,plain,
    divide(X0,multiply(X1,X0)) = inverse(X1),
    inference(superposition,[status(thm)],[c_232,c_430]) ).

cnf(c_454,plain,
    divide(a,sP1_iProver_def) = inverse(b),
    inference(superposition,[status(thm)],[c_78,c_443]) ).

cnf(c_464,plain,
    divide(a,inverse(b)) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_454,c_231]) ).

cnf(c_465,plain,
    sP0_iProver_def = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_464,c_341]) ).

cnf(c_466,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_465,c_79]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GRP544-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.10/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n015.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
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri May  3 00:06:51 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  Running UEQ theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.50/1.64  % SZS status Started for theBenchmark.p
% 3.50/1.64  % SZS status Unsatisfiable for theBenchmark.p
% 3.50/1.64  
% 3.50/1.64  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.50/1.64  
% 3.50/1.64  ------  iProver source info
% 3.50/1.64  
% 3.50/1.64  git: date: 2024-05-02 19:28:25 +0000
% 3.50/1.64  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.50/1.64  git: non_committed_changes: false
% 3.50/1.64  
% 3.50/1.64  ------ Parsing...successful
% 3.50/1.64  
% 3.50/1.64  
% 3.50/1.64  
% 3.50/1.64  ------ Preprocessing... sup_sim: 2  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.50/1.64  
% 3.50/1.64  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.50/1.64  
% 3.50/1.64  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.50/1.64  ------ Proving...
% 3.50/1.64  ------ Problem Properties 
% 3.50/1.64  
% 3.50/1.64  
% 3.50/1.64  clauses                                 7
% 3.50/1.64  conjectures                             1
% 3.50/1.64  EPR                                     1
% 3.50/1.64  Horn                                    7
% 3.50/1.64  unary                                   7
% 3.50/1.64  binary                                  0
% 3.50/1.64  lits                                    7
% 3.50/1.64  lits eq                                 7
% 3.50/1.64  fd_pure                                 0
% 3.50/1.64  fd_pseudo                               0
% 3.50/1.64  fd_cond                                 0
% 3.50/1.64  fd_pseudo_cond                          0
% 3.50/1.64  AC symbols                              0
% 3.50/1.64  
% 3.50/1.64  ------ Input Options Time Limit: Unbounded
% 3.50/1.64  
% 3.50/1.64  
% 3.50/1.64  ------ 
% 3.50/1.64  Current options:
% 3.50/1.64  ------ 
% 3.50/1.64  
% 3.50/1.64  
% 3.50/1.64  
% 3.50/1.64  
% 3.50/1.64  ------ Proving...
% 3.50/1.64  
% 3.50/1.64  
% 3.50/1.64  % SZS status Unsatisfiable for theBenchmark.p
% 3.50/1.64  
% 3.50/1.64  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.50/1.64  
% 3.50/1.64  
%------------------------------------------------------------------------------