TSTP Solution File: GRP536-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP536-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n004.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 3.60s 1.20s
% Output   : CNFRefutation 3.60s
% 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/sandbox/benchmark/theBenchmark.p',single_axiom) ).

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

cnf(c_51,plain,
    divide(divide(X0,X0),X1) = inverse(X1),
    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(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(a,b) = sP0_iProver_def,
    definition ).

cnf(c_77,plain,
    multiply(b,a) = sP1_iProver_def,
    definition ).

cnf(c_78,negated_conjecture,
    sP0_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_53,c_77,c_76]) ).

cnf(c_125,plain,
    multiply(inverse(X0),X0) = identity,
    inference(superposition,[status(thm)],[c_69,c_52]) ).

cnf(c_126,plain,
    multiply(identity,X0) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_69,c_68]) ).

cnf(c_138,plain,
    divide(divide(X0,multiply(divide(X0,X1),X2)),X1) = inverse(X2),
    inference(superposition,[status(thm)],[c_69,c_49]) ).

cnf(c_140,plain,
    divide(divide(X0,divide(identity,X1)),X0) = X1,
    inference(superposition,[status(thm)],[c_52,c_49]) ).

cnf(c_162,plain,
    divide(X0,multiply(identity,X1)) = multiply(X0,inverse(X1)),
    inference(superposition,[status(thm)],[c_126,c_69]) ).

cnf(c_229,plain,
    divide(multiply(X0,X1),X0) = X1,
    inference(demodulation,[status(thm)],[c_140,c_68,c_69]) ).

cnf(c_231,plain,
    divide(sP0_iProver_def,a) = b,
    inference(superposition,[status(thm)],[c_76,c_229]) ).

cnf(c_233,plain,
    divide(identity,inverse(X0)) = X0,
    inference(superposition,[status(thm)],[c_125,c_229]) ).

cnf(c_288,plain,
    multiply(identity,X0) = X0,
    inference(demodulation,[status(thm)],[c_233,c_68,c_126]) ).

cnf(c_290,plain,
    inverse(inverse(X0)) = X0,
    inference(demodulation,[status(thm)],[c_126,c_288]) ).

cnf(c_302,plain,
    multiply(X0,inverse(X1)) = divide(X0,X1),
    inference(superposition,[status(thm)],[c_290,c_69]) ).

cnf(c_323,plain,
    divide(divide(X0,multiply(identity,X1)),X0) = inverse(X1),
    inference(superposition,[status(thm)],[c_52,c_138]) ).

cnf(c_337,plain,
    divide(divide(X0,X1),X0) = inverse(X1),
    inference(light_normalisation,[status(thm)],[c_323,c_162,c_302]) ).

cnf(c_428,plain,
    divide(b,sP0_iProver_def) = inverse(a),
    inference(superposition,[status(thm)],[c_231,c_337]) ).

cnf(c_434,plain,
    divide(divide(X0,inverse(X1)),X1) = X0,
    inference(superposition,[status(thm)],[c_337,c_49]) ).

cnf(c_442,plain,
    divide(multiply(X0,X1),X1) = X0,
    inference(light_normalisation,[status(thm)],[c_434,c_69]) ).

cnf(c_483,plain,
    divide(sP1_iProver_def,a) = b,
    inference(superposition,[status(thm)],[c_77,c_442]) ).

cnf(c_522,plain,
    divide(b,sP1_iProver_def) = inverse(a),
    inference(superposition,[status(thm)],[c_483,c_337]) ).

cnf(c_527,plain,
    divide(inverse(a),b) = inverse(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_428,c_337]) ).

cnf(c_565,plain,
    divide(inverse(a),b) = inverse(sP1_iProver_def),
    inference(superposition,[status(thm)],[c_522,c_337]) ).

cnf(c_568,plain,
    inverse(sP0_iProver_def) = inverse(sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_565,c_527]) ).

cnf(c_576,plain,
    inverse(inverse(sP0_iProver_def)) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_568,c_290]) ).

cnf(c_615,plain,
    sP0_iProver_def = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_576,c_290]) ).

cnf(c_616,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_615,c_78]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP536-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 23:39:48 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.21/0.48  Running UEQ theorem proving
% 0.21/0.48  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
% 3.60/1.20  % SZS status Started for theBenchmark.p
% 3.60/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 3.60/1.20  
% 3.60/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.60/1.20  
% 3.60/1.20  ------  iProver source info
% 3.60/1.20  
% 3.60/1.20  git: date: 2024-05-02 19:28:25 +0000
% 3.60/1.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.60/1.20  git: non_committed_changes: false
% 3.60/1.20  
% 3.60/1.20  ------ Parsing...successful
% 3.60/1.20  
% 3.60/1.20  
% 3.60/1.20  
% 3.60/1.20  ------ Preprocessing... sup_sim: 2  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.60/1.20  
% 3.60/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.60/1.20  
% 3.60/1.20  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.60/1.20  ------ Proving...
% 3.60/1.20  ------ Problem Properties 
% 3.60/1.20  
% 3.60/1.20  
% 3.60/1.20  clauses                                 7
% 3.60/1.20  conjectures                             1
% 3.60/1.20  EPR                                     1
% 3.60/1.20  Horn                                    7
% 3.60/1.20  unary                                   7
% 3.60/1.20  binary                                  0
% 3.60/1.20  lits                                    7
% 3.60/1.20  lits eq                                 7
% 3.60/1.20  fd_pure                                 0
% 3.60/1.20  fd_pseudo                               0
% 3.60/1.20  fd_cond                                 0
% 3.60/1.20  fd_pseudo_cond                          0
% 3.60/1.20  AC symbols                              0
% 3.60/1.20  
% 3.60/1.20  ------ Input Options Time Limit: Unbounded
% 3.60/1.20  
% 3.60/1.20  
% 3.60/1.20  ------ 
% 3.60/1.20  Current options:
% 3.60/1.20  ------ 
% 3.60/1.20  
% 3.60/1.20  
% 3.60/1.20  
% 3.60/1.20  
% 3.60/1.20  ------ Proving...
% 3.60/1.20  
% 3.60/1.20  
% 3.60/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 3.60/1.20  
% 3.60/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.60/1.20  
% 3.60/1.20  
%------------------------------------------------------------------------------