TSTP Solution File: GRP067-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP067-1 : TPTP v8.2.0. Bugfixed v2.3.0.
% 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 : Mon Jun 24 06:57:47 EDT 2024

% Result   : Unsatisfiable 0.47s 1.15s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

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

cnf(c_51,plain,
    divide(identity,X0) = inverse(X0),
    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))
    | multiply(inverse(a1),a1) != identity
    | multiply(identity,a2) != a2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).

cnf(c_72,plain,
    divide(X0,inverse(X1)) = multiply(X0,X1),
    inference(demodulation,[status(thm)],[c_50,c_51]) ).

cnf(c_73,plain,
    divide(divide(identity,divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
    inference(light_normalisation,[status(thm)],[c_49,c_51,c_52]) ).

cnf(c_74,plain,
    divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
    inference(demodulation,[status(thm)],[c_73,c_51]) ).

cnf(c_85,plain,
    multiply(a3,b3) = sP0_iProver_def,
    definition ).

cnf(c_86,plain,
    multiply(sP0_iProver_def,c3) = sP1_iProver_def,
    definition ).

cnf(c_87,plain,
    multiply(b3,c3) = sP2_iProver_def,
    definition ).

cnf(c_88,plain,
    multiply(a3,sP2_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_89,plain,
    inverse(a1) = sP4_iProver_def,
    definition ).

cnf(c_90,plain,
    multiply(sP4_iProver_def,a1) = sP5_iProver_def,
    definition ).

cnf(c_91,plain,
    multiply(identity,a2) = sP6_iProver_def,
    definition ).

cnf(c_92,negated_conjecture,
    ( sP1_iProver_def != sP3_iProver_def
    | sP5_iProver_def != identity
    | sP6_iProver_def != a2 ),
    inference(demodulation,[status(thm)],[c_53,c_91,c_89,c_90,c_87,c_88,c_85,c_86]) ).

cnf(c_158,plain,
    divide(X0,sP4_iProver_def) = multiply(X0,a1),
    inference(superposition,[status(thm)],[c_89,c_72]) ).

cnf(c_160,plain,
    divide(sP4_iProver_def,sP4_iProver_def) = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_90,c_158]) ).

cnf(c_165,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_51,c_52]) ).

cnf(c_179,plain,
    inverse(divide(X0,divide(X1,divide(inverse(X0),divide(inverse(X2),X3))))) = divide(inverse(divide(X2,X1)),X3),
    inference(superposition,[status(thm)],[c_74,c_74]) ).

cnf(c_194,plain,
    identity = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_160,c_52]) ).

cnf(c_195,plain,
    inverse(sP5_iProver_def) = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_165,c_194]) ).

cnf(c_196,plain,
    divide(sP5_iProver_def,X0) = inverse(X0),
    inference(demodulation,[status(thm)],[c_51,c_194]) ).

cnf(c_197,plain,
    multiply(sP5_iProver_def,a2) = sP6_iProver_def,
    inference(demodulation,[status(thm)],[c_91,c_194]) ).

cnf(c_198,plain,
    divide(X0,X0) = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_52,c_194]) ).

cnf(c_199,plain,
    ( a2 != sP6_iProver_def
    | sP1_iProver_def != sP3_iProver_def
    | sP5_iProver_def != sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_92,c_194]) ).

cnf(c_200,plain,
    ( a2 != sP6_iProver_def
    | sP1_iProver_def != sP3_iProver_def ),
    inference(equality_resolution_simp,[status(thm)],[c_199]) ).

cnf(c_206,plain,
    divide(X0,sP5_iProver_def) = multiply(X0,sP5_iProver_def),
    inference(superposition,[status(thm)],[c_195,c_72]) ).

cnf(c_213,plain,
    divide(inverse(divide(X0,divide(X1,sP5_iProver_def))),inverse(X0)) = X1,
    inference(superposition,[status(thm)],[c_198,c_74]) ).

cnf(c_227,plain,
    multiply(sP5_iProver_def,X0) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_196,c_72]) ).

cnf(c_229,plain,
    divide(inverse(inverse(divide(X0,divide(inverse(sP5_iProver_def),X1)))),X1) = X0,
    inference(superposition,[status(thm)],[c_196,c_74]) ).

cnf(c_230,plain,
    divide(inverse(inverse(divide(X0,divide(sP5_iProver_def,X1)))),X1) = X0,
    inference(light_normalisation,[status(thm)],[c_229,c_195]) ).

cnf(c_253,plain,
    divide(X0,multiply(sP5_iProver_def,X1)) = multiply(X0,inverse(X1)),
    inference(superposition,[status(thm)],[c_227,c_72]) ).

cnf(c_349,plain,
    multiply(inverse(divide(X0,divide(X1,sP5_iProver_def))),X0) = X1,
    inference(demodulation,[status(thm)],[c_213,c_72]) ).

cnf(c_353,plain,
    multiply(inverse(sP5_iProver_def),divide(X0,sP5_iProver_def)) = X0,
    inference(superposition,[status(thm)],[c_198,c_349]) ).

cnf(c_362,plain,
    multiply(sP5_iProver_def,divide(X0,sP5_iProver_def)) = X0,
    inference(light_normalisation,[status(thm)],[c_353,c_195]) ).

cnf(c_626,plain,
    divide(multiply(sP5_iProver_def,multiply(X0,X1)),X1) = X0,
    inference(demodulation,[status(thm)],[c_230,c_72,c_196,c_227]) ).

cnf(c_630,plain,
    divide(multiply(sP5_iProver_def,sP0_iProver_def),b3) = a3,
    inference(superposition,[status(thm)],[c_85,c_626]) ).

cnf(c_631,plain,
    divide(multiply(sP5_iProver_def,sP2_iProver_def),c3) = b3,
    inference(superposition,[status(thm)],[c_87,c_626]) ).

cnf(c_637,plain,
    divide(multiply(sP5_iProver_def,divide(X0,sP5_iProver_def)),sP5_iProver_def) = X0,
    inference(superposition,[status(thm)],[c_206,c_626]) ).

cnf(c_648,plain,
    multiply(sP5_iProver_def,multiply(X0,sP5_iProver_def)) = multiply(sP5_iProver_def,X0),
    inference(superposition,[status(thm)],[c_626,c_362]) ).

cnf(c_652,plain,
    multiply(sP5_iProver_def,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_648,c_206,c_362]) ).

cnf(c_653,plain,
    divide(X0,sP5_iProver_def) = X0,
    inference(light_normalisation,[status(thm)],[c_637,c_362]) ).

cnf(c_662,plain,
    multiply(X0,inverse(X1)) = divide(X0,X1),
    inference(demodulation,[status(thm)],[c_253,c_652]) ).

cnf(c_663,plain,
    divide(multiply(X0,X1),X1) = X0,
    inference(demodulation,[status(thm)],[c_626,c_652]) ).

cnf(c_664,plain,
    a2 = sP6_iProver_def,
    inference(demodulation,[status(thm)],[c_197,c_652]) ).

cnf(c_666,plain,
    sP1_iProver_def != sP3_iProver_def,
    inference(backward_subsumption_resolution,[status(thm)],[c_200,c_664]) ).

cnf(c_717,plain,
    divide(sP0_iProver_def,b3) = a3,
    inference(demodulation,[status(thm)],[c_630,c_652]) ).

cnf(c_746,plain,
    divide(inverse(divide(X0,divide(X1,inverse(X0)))),sP5_iProver_def) = X1,
    inference(superposition,[status(thm)],[c_653,c_74]) ).

cnf(c_810,plain,
    divide(sP2_iProver_def,c3) = b3,
    inference(demodulation,[status(thm)],[c_631,c_652]) ).

cnf(c_831,plain,
    multiply(multiply(X0,inverse(X1)),X1) = X0,
    inference(superposition,[status(thm)],[c_663,c_72]) ).

cnf(c_835,plain,
    multiply(divide(X0,X1),X1) = X0,
    inference(light_normalisation,[status(thm)],[c_831,c_662]) ).

cnf(c_857,plain,
    inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))) = multiply(X1,X2),
    inference(superposition,[status(thm)],[c_74,c_835]) ).

cnf(c_875,plain,
    inverse(divide(X0,multiply(X1,X0))) = X1,
    inference(demodulation,[status(thm)],[c_746,c_72,c_653]) ).

cnf(c_886,plain,
    inverse(divide(X0,X1)) = divide(X1,X0),
    inference(superposition,[status(thm)],[c_835,c_875]) ).

cnf(c_916,plain,
    divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
    inference(superposition,[status(thm)],[c_72,c_886]) ).

cnf(c_1152,plain,
    multiply(X0,divide(inverse(X1),X2)) = divide(X0,multiply(X2,X1)),
    inference(superposition,[status(thm)],[c_916,c_662]) ).

cnf(c_1288,plain,
    divide(divide(X0,X1),X2) = divide(X0,multiply(X2,X1)),
    inference(demodulation,[status(thm)],[c_179,c_857,c_886,c_1152]) ).

cnf(c_1298,plain,
    divide(X0,multiply(X1,inverse(X2))) = divide(multiply(X0,X2),X1),
    inference(superposition,[status(thm)],[c_72,c_1288]) ).

cnf(c_1634,plain,
    divide(multiply(X0,X1),X2) = divide(X0,divide(X2,X1)),
    inference(demodulation,[status(thm)],[c_1298,c_662]) ).

cnf(c_1644,plain,
    divide(sP0_iProver_def,divide(X0,c3)) = divide(sP1_iProver_def,X0),
    inference(superposition,[status(thm)],[c_86,c_1634]) ).

cnf(c_1799,plain,
    divide(sP0_iProver_def,b3) = divide(sP1_iProver_def,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_810,c_1644]) ).

cnf(c_1807,plain,
    divide(sP1_iProver_def,sP2_iProver_def) = a3,
    inference(light_normalisation,[status(thm)],[c_1799,c_717]) ).

cnf(c_1903,plain,
    multiply(a3,sP2_iProver_def) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_1807,c_835]) ).

cnf(c_1906,plain,
    sP1_iProver_def = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_88,c_1903]) ).

cnf(c_1907,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1906,c_666]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP067-1 : TPTP v8.2.0. Bugfixed v2.3.0.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu Jun 20 10:51:09 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.47/1.15  % SZS status Started for theBenchmark.p
% 0.47/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.15  
% 0.47/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.15  
% 0.47/1.15  ------  iProver source info
% 0.47/1.15  
% 0.47/1.15  git: date: 2024-06-12 09:56:46 +0000
% 0.47/1.15  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 0.47/1.15  git: non_committed_changes: false
% 0.47/1.15  
% 0.47/1.15  ------ Parsing...successful
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  ------ Preprocessing... sup_sim: 2  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.47/1.15  
% 0.47/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.47/1.15  
% 0.47/1.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.47/1.15  ------ Proving...
% 0.47/1.15  ------ Problem Properties 
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  clauses                                 12
% 0.47/1.15  conjectures                             1
% 0.47/1.15  EPR                                     1
% 0.47/1.15  Horn                                    12
% 0.47/1.15  unary                                   11
% 0.47/1.15  binary                                  0
% 0.47/1.15  lits                                    14
% 0.47/1.15  lits eq                                 14
% 0.47/1.15  fd_pure                                 0
% 0.47/1.15  fd_pseudo                               0
% 0.47/1.15  fd_cond                                 0
% 0.47/1.15  fd_pseudo_cond                          0
% 0.47/1.15  AC symbols                              0
% 0.47/1.15  
% 0.47/1.15  ------ Schedule dynamic 5 is on 
% 0.47/1.15  
% 0.47/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  ------ 
% 0.47/1.15  Current options:
% 0.47/1.15  ------ 
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  ------ Proving...
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.15  
% 0.47/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.15  
% 0.47/1.16  
%------------------------------------------------------------------------------