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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP063-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 02:20:50 EDT 2024

% Result   : Unsatisfiable 4.20s 1.10s
% Output   : CNFRefutation 4.20s
% 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_199,plain,
    divide(inverse(sP10_iProver_def),X0) = inverse(X0),
    inference(superposition,[status(thm)],[c_177,c_51]) ).

cnf(c_219,plain,
    divide(X0,multiply(sP1_iProver_def,X1)) = multiply(X0,inverse(X1)),
    inference(superposition,[status(thm)],[c_188,c_68]) ).

cnf(c_233,plain,
    divide(X0,inverse(divide(inverse(X0),inverse(X1)))) = X1,
    inference(superposition,[status(thm)],[c_51,c_70]) ).

cnf(c_236,plain,
    divide(X0,divide(inverse(X1),divide(inverse(X0),X1))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_187,c_70]) ).

cnf(c_315,plain,
    divide(X0,divide(inverse(X1),divide(inverse(X0),X1))) = sP8_iProver_def,
    inference(superposition,[status(thm)],[c_192,c_70]) ).

cnf(c_320,plain,
    sP1_iProver_def = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_315,c_236]) ).

cnf(c_324,plain,
    ( a2 != sP2_iProver_def
    | sP1_iProver_def != sP10_iProver_def
    | sP4_iProver_def != sP6_iProver_def ),
    inference(demodulation,[status(thm)],[c_92,c_320]) ).

cnf(c_349,plain,
    divide(X0,divide(inverse(X1),divide(inverse(X0),X1))) = sP10_iProver_def,
    inference(superposition,[status(thm)],[c_199,c_70]) ).

cnf(c_354,plain,
    sP1_iProver_def = sP10_iProver_def,
    inference(light_normalisation,[status(thm)],[c_349,c_236]) ).

cnf(c_366,plain,
    ( a2 != sP2_iProver_def
    | sP4_iProver_def != sP6_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_324,c_324,c_354]) ).

cnf(c_457,plain,
    divide(X0,divide(inverse(X1),divide(inverse(X0),X1))) = divide(X2,X2),
    inference(superposition,[status(thm)],[c_178,c_70]) ).

cnf(c_460,plain,
    divide(X0,X0) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_457,c_236]) ).

cnf(c_479,plain,
    divide(X0,divide(divide(inverse(X1),inverse(X0)),sP1_iProver_def)) = X1,
    inference(superposition,[status(thm)],[c_460,c_70]) ).

cnf(c_480,plain,
    divide(X0,sP1_iProver_def) = X0,
    inference(superposition,[status(thm)],[c_460,c_70]) ).

cnf(c_482,plain,
    inverse(sP1_iProver_def) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_460,c_175]) ).

cnf(c_526,plain,
    divide(X0,sP1_iProver_def) = multiply(X0,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_482,c_68]) ).

cnf(c_527,plain,
    multiply(X0,sP1_iProver_def) = X0,
    inference(light_normalisation,[status(thm)],[c_526,c_480]) ).

cnf(c_658,plain,
    multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(demodulation,[status(thm)],[c_233,c_68]) ).

cnf(c_663,plain,
    multiply(X0,inverse(X0)) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_527,c_658]) ).

cnf(c_782,plain,
    multiply(X0,sP1_iProver_def) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_663,c_658]) ).

cnf(c_787,plain,
    inverse(inverse(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_782,c_188,c_527]) ).

cnf(c_790,plain,
    multiply(sP1_iProver_def,X0) = X0,
    inference(demodulation,[status(thm)],[c_188,c_787]) ).

cnf(c_792,plain,
    multiply(X0,inverse(X1)) = divide(X0,X1),
    inference(demodulation,[status(thm)],[c_219,c_790]) ).

cnf(c_793,plain,
    a2 = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_83,c_790]) ).

cnf(c_794,plain,
    sP4_iProver_def != sP6_iProver_def,
    inference(backward_subsumption_resolution,[status(thm)],[c_366,c_793]) ).

cnf(c_811,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(superposition,[status(thm)],[c_787,c_658]) ).

cnf(c_813,plain,
    divide(inverse(X0),divide(divide(inverse(X1),X2),divide(X0,X2))) = X1,
    inference(superposition,[status(thm)],[c_787,c_70]) ).

cnf(c_2081,plain,
    multiply(inverse(a3),sP3_iProver_def) = b3,
    inference(superposition,[status(thm)],[c_84,c_811]) ).

cnf(c_2083,plain,
    multiply(inverse(sP3_iProver_def),sP4_iProver_def) = c3,
    inference(superposition,[status(thm)],[c_85,c_811]) ).

cnf(c_2118,plain,
    multiply(inverse(inverse(sP3_iProver_def)),c3) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_2083,c_811]) ).

cnf(c_2228,plain,
    divide(X0,multiply(inverse(X1),X0)) = X1,
    inference(demodulation,[status(thm)],[c_479,c_68,c_480]) ).

cnf(c_2240,plain,
    divide(multiply(X0,X1),X1) = X0,
    inference(superposition,[status(thm)],[c_811,c_2228]) ).

cnf(c_2241,plain,
    divide(sP3_iProver_def,b3) = a3,
    inference(superposition,[status(thm)],[c_2081,c_2228]) ).

cnf(c_2248,plain,
    divide(X0,multiply(X1,X0)) = inverse(X1),
    inference(superposition,[status(thm)],[c_787,c_2228]) ).

cnf(c_2389,plain,
    multiply(multiply(X0,inverse(X1)),X1) = X0,
    inference(superposition,[status(thm)],[c_2240,c_68]) ).

cnf(c_2391,plain,
    multiply(divide(X0,X1),X1) = X0,
    inference(light_normalisation,[status(thm)],[c_2389,c_792]) ).

cnf(c_3199,plain,
    inverse(divide(X0,X1)) = divide(X1,X0),
    inference(superposition,[status(thm)],[c_2391,c_2248]) ).

cnf(c_3319,plain,
    divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
    inference(superposition,[status(thm)],[c_68,c_3199]) ).

cnf(c_3781,plain,
    divide(X0,divide(inverse(X1),X2)) = multiply(X0,multiply(X2,X1)),
    inference(superposition,[status(thm)],[c_3319,c_68]) ).

cnf(c_4617,plain,
    divide(X0,divide(divide(inverse(X1),X2),X3)) = multiply(X0,multiply(X3,multiply(X2,X1))),
    inference(superposition,[status(thm)],[c_3319,c_3781]) ).

cnf(c_4674,plain,
    multiply(inverse(X0),multiply(divide(X0,X1),multiply(X1,X2))) = X2,
    inference(demodulation,[status(thm)],[c_813,c_4617]) ).

cnf(c_4717,plain,
    multiply(inverse(X0),multiply(divide(X0,b3),sP5_iProver_def)) = c3,
    inference(superposition,[status(thm)],[c_86,c_4674]) ).

cnf(c_5075,plain,
    multiply(inverse(sP3_iProver_def),multiply(a3,sP5_iProver_def)) = c3,
    inference(superposition,[status(thm)],[c_2241,c_4717]) ).

cnf(c_5081,plain,
    multiply(inverse(sP3_iProver_def),sP6_iProver_def) = c3,
    inference(light_normalisation,[status(thm)],[c_5075,c_87]) ).

cnf(c_5095,plain,
    multiply(inverse(inverse(sP3_iProver_def)),c3) = sP6_iProver_def,
    inference(superposition,[status(thm)],[c_5081,c_811]) ).

cnf(c_5098,plain,
    sP4_iProver_def = sP6_iProver_def,
    inference(light_normalisation,[status(thm)],[c_5095,c_2118]) ).

cnf(c_5099,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_5098,c_794]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : GRP063-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.05/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.30  % Computer : n025.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Thu May  2 23:56:58 EDT 2024
% 0.10/0.30  % CPUTime  : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  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
% 4.20/1.10  % SZS status Started for theBenchmark.p
% 4.20/1.10  % SZS status Unsatisfiable for theBenchmark.p
% 4.20/1.10  
% 4.20/1.10  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.20/1.10  
% 4.20/1.10  ------  iProver source info
% 4.20/1.10  
% 4.20/1.10  git: date: 2024-05-02 19:28:25 +0000
% 4.20/1.10  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.20/1.10  git: non_committed_changes: false
% 4.20/1.10  
% 4.20/1.10  ------ Parsing...successful
% 4.20/1.10  
% 4.20/1.10  
% 4.20/1.10  
% 4.20/1.10  ------ Preprocessing... sup_sim: 2  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 4.20/1.10  
% 4.20/1.10  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.20/1.10  
% 4.20/1.10  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 4.20/1.10  ------ Proving...
% 4.20/1.10  ------ Problem Properties 
% 4.20/1.10  
% 4.20/1.10  
% 4.20/1.10  clauses                                 15
% 4.20/1.10  conjectures                             1
% 4.20/1.10  EPR                                     1
% 4.20/1.10  Horn                                    15
% 4.20/1.10  unary                                   14
% 4.20/1.10  binary                                  0
% 4.20/1.10  lits                                    17
% 4.20/1.10  lits eq                                 17
% 4.20/1.10  fd_pure                                 0
% 4.20/1.10  fd_pseudo                               0
% 4.20/1.10  fd_cond                                 0
% 4.20/1.10  fd_pseudo_cond                          0
% 4.20/1.10  AC symbols                              0
% 4.20/1.10  
% 4.20/1.10  ------ Schedule dynamic 5 is on 
% 4.20/1.10  
% 4.20/1.10  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.20/1.10  
% 4.20/1.10  
% 4.20/1.10  ------ 
% 4.20/1.10  Current options:
% 4.20/1.10  ------ 
% 4.20/1.10  
% 4.20/1.10  
% 4.20/1.10  
% 4.20/1.10  
% 4.20/1.10  ------ Proving...
% 4.20/1.10  
% 4.20/1.10  
% 4.20/1.10  % SZS status Unsatisfiable for theBenchmark.p
% 4.20/1.10  
% 4.20/1.10  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.20/1.10  
% 4.20/1.11  
%------------------------------------------------------------------------------