TSTP Solution File: GRP558-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP558-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 02:22:55 EDT 2024

% Result   : Unsatisfiable 3.61s 1.16s
% Output   : CNFRefutation 3.61s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

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

cnf(c_51,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).

cnf(c_60,plain,
    multiply(X0,divide(divide(X1,X2),divide(X0,X2))) = X1,
    inference(demodulation,[status(thm)],[c_49,c_50]) ).

cnf(c_67,plain,
    inverse(b2) = sP0_iProver_def,
    definition ).

cnf(c_68,plain,
    multiply(sP0_iProver_def,b2) = sP1_iProver_def,
    definition ).

cnf(c_69,plain,
    multiply(sP1_iProver_def,a2) = sP2_iProver_def,
    definition ).

cnf(c_70,negated_conjecture,
    sP2_iProver_def != a2,
    inference(demodulation,[status(thm)],[c_51,c_67,c_68,c_69]) ).

cnf(c_116,plain,
    divide(X0,sP0_iProver_def) = multiply(X0,b2),
    inference(superposition,[status(thm)],[c_67,c_50]) ).

cnf(c_117,plain,
    divide(sP0_iProver_def,sP0_iProver_def) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_68,c_116]) ).

cnf(c_119,plain,
    multiply(X0,divide(multiply(X1,X2),divide(X0,inverse(X2)))) = X1,
    inference(superposition,[status(thm)],[c_50,c_60]) ).

cnf(c_120,plain,
    multiply(X0,divide(sP1_iProver_def,divide(X0,sP0_iProver_def))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_117,c_60]) ).

cnf(c_127,plain,
    multiply(X0,divide(multiply(X1,X2),multiply(X0,X2))) = X1,
    inference(demodulation,[status(thm)],[c_119,c_50]) ).

cnf(c_128,plain,
    multiply(X0,divide(X1,multiply(X0,divide(divide(X1,X2),divide(X3,X2))))) = X3,
    inference(superposition,[status(thm)],[c_60,c_127]) ).

cnf(c_146,plain,
    multiply(sP0_iProver_def,divide(sP1_iProver_def,sP1_iProver_def)) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_117,c_120]) ).

cnf(c_175,plain,
    multiply(sP0_iProver_def,divide(multiply(X0,divide(sP1_iProver_def,sP1_iProver_def)),sP0_iProver_def)) = X0,
    inference(superposition,[status(thm)],[c_146,c_127]) ).

cnf(c_218,plain,
    multiply(sP0_iProver_def,divide(sP0_iProver_def,sP0_iProver_def)) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_146,c_175]) ).

cnf(c_222,plain,
    multiply(sP0_iProver_def,sP1_iProver_def) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_218,c_117]) ).

cnf(c_236,plain,
    multiply(sP0_iProver_def,divide(multiply(X0,sP1_iProver_def),sP0_iProver_def)) = X0,
    inference(superposition,[status(thm)],[c_222,c_127]) ).

cnf(c_292,plain,
    multiply(X0,divide(X1,X1)) = X0,
    inference(superposition,[status(thm)],[c_60,c_128]) ).

cnf(c_300,plain,
    multiply(sP0_iProver_def,divide(X0,sP0_iProver_def)) = X0,
    inference(demodulation,[status(thm)],[c_175,c_292]) ).

cnf(c_303,plain,
    multiply(X0,sP1_iProver_def) = X0,
    inference(demodulation,[status(thm)],[c_236,c_300]) ).

cnf(c_319,plain,
    multiply(X0,divide(X1,X0)) = X1,
    inference(superposition,[status(thm)],[c_292,c_128]) ).

cnf(c_363,plain,
    multiply(inverse(X0),multiply(X1,X0)) = X1,
    inference(superposition,[status(thm)],[c_50,c_319]) ).

cnf(c_394,plain,
    multiply(inverse(sP1_iProver_def),X0) = X0,
    inference(superposition,[status(thm)],[c_303,c_363]) ).

cnf(c_638,plain,
    inverse(sP1_iProver_def) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_394,c_303]) ).

cnf(c_647,plain,
    multiply(sP1_iProver_def,X0) = X0,
    inference(demodulation,[status(thm)],[c_394,c_638]) ).

cnf(c_650,plain,
    a2 = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_69,c_647]) ).

cnf(c_654,plain,
    sP2_iProver_def != sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_70,c_650]) ).

cnf(c_655,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_654]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GRP558-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % 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 : Thu May  2 23:43:25 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running UEQ theorem proving
% 0.20/0.48  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
% 3.61/1.16  % SZS status Started for theBenchmark.p
% 3.61/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.61/1.16  
% 3.61/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.61/1.16  
% 3.61/1.16  ------  iProver source info
% 3.61/1.16  
% 3.61/1.16  git: date: 2024-05-02 19:28:25 +0000
% 3.61/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.61/1.16  git: non_committed_changes: false
% 3.61/1.16  
% 3.61/1.16  ------ Parsing...successful
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.61/1.16  
% 3.61/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.61/1.16  
% 3.61/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.61/1.16  ------ Proving...
% 3.61/1.16  ------ Problem Properties 
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  clauses                                 6
% 3.61/1.16  conjectures                             1
% 3.61/1.16  EPR                                     1
% 3.61/1.16  Horn                                    6
% 3.61/1.16  unary                                   6
% 3.61/1.16  binary                                  0
% 3.61/1.16  lits                                    6
% 3.61/1.16  lits eq                                 6
% 3.61/1.16  fd_pure                                 0
% 3.61/1.16  fd_pseudo                               0
% 3.61/1.16  fd_cond                                 0
% 3.61/1.16  fd_pseudo_cond                          0
% 3.61/1.16  AC symbols                              0
% 3.61/1.16  
% 3.61/1.16  ------ Input Options Time Limit: Unbounded
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  ------ 
% 3.61/1.16  Current options:
% 3.61/1.16  ------ 
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  ------ Proving...
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.61/1.16  
% 3.61/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.61/1.16  
% 3.61/1.16  
%------------------------------------------------------------------------------