TSTP Solution File: GRP063-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP063-1 : TPTP v8.2.0. Bugfixed v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 06:57:46 EDT 2024

% Result   : Unsatisfiable 4.12s 1.16s
% Output   : CNFRefutation 4.12s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
    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,negated_conjecture,
    ( multiply(multiply(inverse(b2),b2),a2) != a2
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).

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

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

cnf(c_70,plain,
    divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
    inference(demodulation,[status(thm)],[c_69,c_51]) ).

cnf(c_81,plain,
    inverse(b2) = sP0_iProver_def,
    definition ).

cnf(c_82,plain,
    multiply(sP0_iProver_def,b2) = sP1_iProver_def,
    definition ).

cnf(c_83,plain,
    multiply(sP1_iProver_def,a2) = sP2_iProver_def,
    definition ).

cnf(c_84,plain,
    multiply(a3,b3) = sP3_iProver_def,
    definition ).

cnf(c_85,plain,
    multiply(sP3_iProver_def,c3) = sP4_iProver_def,
    definition ).

cnf(c_86,plain,
    multiply(b3,c3) = sP5_iProver_def,
    definition ).

cnf(c_87,plain,
    multiply(a3,sP5_iProver_def) = sP6_iProver_def,
    definition ).

cnf(c_88,plain,
    inverse(a1) = sP7_iProver_def,
    definition ).

cnf(c_89,plain,
    multiply(sP7_iProver_def,a1) = sP8_iProver_def,
    definition ).

cnf(c_90,plain,
    inverse(b1) = sP9_iProver_def,
    definition ).

cnf(c_91,plain,
    multiply(sP9_iProver_def,b1) = sP10_iProver_def,
    definition ).

cnf(c_92,negated_conjecture,
    ( sP2_iProver_def != a2
    | sP4_iProver_def != sP6_iProver_def
    | sP8_iProver_def != sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_52,c_90,c_91,c_88,c_89,c_86,c_87,c_84,c_85,c_81,c_82,c_83]) ).

cnf(c_163,plain,
    divide(X0,sP7_iProver_def) = multiply(X0,a1),
    inference(superposition,[status(thm)],[c_88,c_68]) ).

cnf(c_164,plain,
    divide(X0,sP9_iProver_def) = multiply(X0,b1),
    inference(superposition,[status(thm)],[c_90,c_68]) ).

cnf(c_165,plain,
    divide(X0,sP0_iProver_def) = multiply(X0,b2),
    inference(superposition,[status(thm)],[c_81,c_68]) ).

cnf(c_166,plain,
    divide(sP0_iProver_def,sP0_iProver_def) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_82,c_165]) ).

cnf(c_170,plain,
    divide(sP7_iProver_def,sP7_iProver_def) = sP8_iProver_def,
    inference(demodulation,[status(thm)],[c_89,c_163]) ).

cnf(c_171,plain,
    divide(sP9_iProver_def,sP9_iProver_def) = sP10_iProver_def,
    inference(demodulation,[status(thm)],[c_91,c_164]) ).

cnf(c_175,plain,
    divide(sP1_iProver_def,X0) = inverse(X0),
    inference(superposition,[status(thm)],[c_166,c_51]) ).

cnf(c_176,plain,
    divide(sP8_iProver_def,X0) = inverse(X0),
    inference(superposition,[status(thm)],[c_170,c_51]) ).

cnf(c_177,plain,
    divide(sP10_iProver_def,X0) = inverse(X0),
    inference(superposition,[status(thm)],[c_171,c_51]) ).

cnf(c_178,plain,
    divide(inverse(divide(X0,X0)),X1) = inverse(X1),
    inference(superposition,[status(thm)],[c_51,c_51]) ).

cnf(c_187,plain,
    divide(inverse(sP1_iProver_def),X0) = inverse(X0),
    inference(superposition,[status(thm)],[c_175,c_51]) ).

cnf(c_188,plain,
    multiply(sP1_iProver_def,X0) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_175,c_68]) ).

cnf(c_192,plain,
    divide(inverse(sP8_iProver_def),X0) = inverse(X0),
    inference(superposition,[status(thm)],[c_176,c_51]) ).

cnf(c_198,plain,
    divide(inverse(sP10_iProver_def),X0) = inverse(X0),
    inference(superposition,[status(thm)],[c_177,c_51]) ).

cnf(c_214,plain,
    divide(X0,multiply(sP1_iProver_def,X1)) = multiply(X0,inverse(X1)),
    inference(superposition,[status(thm)],[c_188,c_68]) ).

cnf(c_226,plain,
    divide(X0,inverse(divide(inverse(X0),inverse(X1)))) = X1,
    inference(superposition,[status(thm)],[c_51,c_70]) ).

cnf(c_229,plain,
    divide(X0,divide(inverse(X1),divide(inverse(X0),X1))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_187,c_70]) ).

cnf(c_311,plain,
    divide(X0,divide(inverse(X1),divide(inverse(X0),X1))) = sP8_iProver_def,
    inference(superposition,[status(thm)],[c_192,c_70]) ).

cnf(c_315,plain,
    sP1_iProver_def = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_311,c_229]) ).

cnf(c_319,plain,
    ( a2 != sP2_iProver_def
    | sP1_iProver_def != sP10_iProver_def
    | sP4_iProver_def != sP6_iProver_def ),
    inference(demodulation,[status(thm)],[c_92,c_315]) ).

cnf(c_340,plain,
    divide(X0,divide(inverse(X1),divide(inverse(X0),X1))) = sP10_iProver_def,
    inference(superposition,[status(thm)],[c_198,c_70]) ).

cnf(c_344,plain,
    sP1_iProver_def = sP10_iProver_def,
    inference(light_normalisation,[status(thm)],[c_340,c_229]) ).

cnf(c_357,plain,
    ( a2 != sP2_iProver_def
    | sP4_iProver_def != sP6_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_319,c_319,c_344]) ).

cnf(c_444,plain,
    divide(X0,divide(inverse(X1),divide(inverse(X0),X1))) = divide(X2,X2),
    inference(superposition,[status(thm)],[c_178,c_70]) ).

cnf(c_447,plain,
    divide(X0,X0) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_444,c_229]) ).

cnf(c_466,plain,
    divide(X0,divide(divide(inverse(X1),inverse(X0)),sP1_iProver_def)) = X1,
    inference(superposition,[status(thm)],[c_447,c_70]) ).

cnf(c_467,plain,
    divide(X0,sP1_iProver_def) = X0,
    inference(superposition,[status(thm)],[c_447,c_70]) ).

cnf(c_469,plain,
    inverse(sP1_iProver_def) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_447,c_175]) ).

cnf(c_502,plain,
    divide(X0,sP1_iProver_def) = multiply(X0,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_469,c_68]) ).

cnf(c_503,plain,
    multiply(X0,sP1_iProver_def) = X0,
    inference(light_normalisation,[status(thm)],[c_502,c_467]) ).

cnf(c_618,plain,
    multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(demodulation,[status(thm)],[c_226,c_68]) ).

cnf(c_623,plain,
    multiply(X0,inverse(X0)) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_503,c_618]) ).

cnf(c_761,plain,
    multiply(X0,sP1_iProver_def) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_623,c_618]) ).

cnf(c_766,plain,
    inverse(inverse(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_761,c_188,c_503]) ).

cnf(c_769,plain,
    multiply(sP1_iProver_def,X0) = X0,
    inference(demodulation,[status(thm)],[c_188,c_766]) ).

cnf(c_771,plain,
    multiply(X0,inverse(X1)) = divide(X0,X1),
    inference(demodulation,[status(thm)],[c_214,c_769]) ).

cnf(c_772,plain,
    a2 = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_83,c_769]) ).

cnf(c_773,plain,
    sP4_iProver_def != sP6_iProver_def,
    inference(backward_subsumption_resolution,[status(thm)],[c_357,c_772]) ).

cnf(c_789,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(superposition,[status(thm)],[c_766,c_618]) ).

cnf(c_791,plain,
    divide(inverse(X0),divide(divide(inverse(X1),X2),divide(X0,X2))) = X1,
    inference(superposition,[status(thm)],[c_766,c_70]) ).

cnf(c_2039,plain,
    multiply(inverse(a3),sP3_iProver_def) = b3,
    inference(superposition,[status(thm)],[c_84,c_789]) ).

cnf(c_2180,plain,
    divide(X0,multiply(inverse(X1),X0)) = X1,
    inference(demodulation,[status(thm)],[c_466,c_68,c_467]) ).

cnf(c_2192,plain,
    divide(multiply(X0,X1),X1) = X0,
    inference(superposition,[status(thm)],[c_789,c_2180]) ).

cnf(c_2193,plain,
    divide(sP3_iProver_def,b3) = a3,
    inference(superposition,[status(thm)],[c_2039,c_2180]) ).

cnf(c_2200,plain,
    divide(X0,multiply(X1,X0)) = inverse(X1),
    inference(superposition,[status(thm)],[c_766,c_2180]) ).

cnf(c_2332,plain,
    multiply(multiply(X0,inverse(X1)),X1) = X0,
    inference(superposition,[status(thm)],[c_2192,c_68]) ).

cnf(c_2334,plain,
    multiply(divide(X0,X1),X1) = X0,
    inference(light_normalisation,[status(thm)],[c_2332,c_771]) ).

cnf(c_3269,plain,
    inverse(divide(X0,X1)) = divide(X1,X0),
    inference(superposition,[status(thm)],[c_2334,c_2200]) ).

cnf(c_3955,plain,
    divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
    inference(superposition,[status(thm)],[c_68,c_3269]) ).

cnf(c_4035,plain,
    divide(X0,divide(inverse(X1),X2)) = multiply(X0,multiply(X2,X1)),
    inference(superposition,[status(thm)],[c_3955,c_68]) ).

cnf(c_4501,plain,
    divide(X0,divide(divide(inverse(X1),X2),X3)) = multiply(X0,multiply(X3,multiply(X2,X1))),
    inference(superposition,[status(thm)],[c_3955,c_4035]) ).

cnf(c_4545,plain,
    multiply(inverse(X0),multiply(divide(X0,X1),multiply(X1,X2))) = X2,
    inference(demodulation,[status(thm)],[c_791,c_4501]) ).

cnf(c_4588,plain,
    multiply(inverse(X0),multiply(divide(X0,b3),sP5_iProver_def)) = c3,
    inference(superposition,[status(thm)],[c_86,c_4545]) ).

cnf(c_4846,plain,
    multiply(inverse(sP3_iProver_def),multiply(a3,sP5_iProver_def)) = c3,
    inference(superposition,[status(thm)],[c_2193,c_4588]) ).

cnf(c_4852,plain,
    multiply(inverse(sP3_iProver_def),sP6_iProver_def) = c3,
    inference(light_normalisation,[status(thm)],[c_4846,c_87]) ).

cnf(c_4909,plain,
    divide(sP6_iProver_def,c3) = inverse(inverse(sP3_iProver_def)),
    inference(superposition,[status(thm)],[c_4852,c_2200]) ).

cnf(c_4913,plain,
    divide(sP6_iProver_def,c3) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_4909,c_766]) ).

cnf(c_4915,plain,
    multiply(sP3_iProver_def,c3) = sP6_iProver_def,
    inference(superposition,[status(thm)],[c_4913,c_2334]) ).

cnf(c_4916,plain,
    sP4_iProver_def = sP6_iProver_def,
    inference(light_normalisation,[status(thm)],[c_4915,c_85]) ).

cnf(c_4917,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_4916,c_773]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP063-1 : TPTP v8.2.0. Bugfixed v2.3.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n022.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu Jun 20 07:16:09 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.19/0.48  Running first-order theorem proving
% 0.19/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.12/1.16  % SZS status Started for theBenchmark.p
% 4.12/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 4.12/1.16  
% 4.12/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.12/1.16  
% 4.12/1.16  ------  iProver source info
% 4.12/1.16  
% 4.12/1.16  git: date: 2024-06-12 09:56:46 +0000
% 4.12/1.16  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.12/1.16  git: non_committed_changes: false
% 4.12/1.16  
% 4.12/1.16  ------ Parsing...successful
% 4.12/1.16  
% 4.12/1.16  
% 4.12/1.16  
% 4.12/1.16  ------ Preprocessing... sup_sim: 2  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 4.12/1.16  
% 4.12/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.12/1.16  
% 4.12/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 4.12/1.16  ------ Proving...
% 4.12/1.16  ------ Problem Properties 
% 4.12/1.16  
% 4.12/1.16  
% 4.12/1.16  clauses                                 15
% 4.12/1.16  conjectures                             1
% 4.12/1.16  EPR                                     1
% 4.12/1.16  Horn                                    15
% 4.12/1.16  unary                                   14
% 4.12/1.16  binary                                  0
% 4.12/1.16  lits                                    17
% 4.12/1.16  lits eq                                 17
% 4.12/1.16  fd_pure                                 0
% 4.12/1.16  fd_pseudo                               0
% 4.12/1.16  fd_cond                                 0
% 4.12/1.16  fd_pseudo_cond                          0
% 4.12/1.16  AC symbols                              0
% 4.12/1.16  
% 4.12/1.16  ------ Schedule dynamic 5 is on 
% 4.12/1.16  
% 4.12/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.12/1.16  
% 4.12/1.16  
% 4.12/1.16  ------ 
% 4.12/1.16  Current options:
% 4.12/1.16  ------ 
% 4.12/1.16  
% 4.12/1.16  
% 4.12/1.16  
% 4.12/1.16  
% 4.12/1.16  ------ Proving...
% 4.12/1.16  
% 4.12/1.16  
% 4.12/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 4.12/1.16  
% 4.12/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.12/1.16  
% 4.12/1.17  
%------------------------------------------------------------------------------