TSTP Solution File: TOP049-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : TOP049-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 03:41:05 EDT 2024

% Result   : Unsatisfiable 0.48s 1.17s
% Output   : CNFRefutation 3.39s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    product(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle) ).

cnf(c_50,plain,
    product(product(X0,X1),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle_01) ).

cnf(c_51,plain,
    product(product(X0,X1),product(X2,X1)) = product(product(X0,X2),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle_02) ).

cnf(c_52,plain,
    product(a9,a7) = a1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot) ).

cnf(c_53,plain,
    product(a1,a2) = a3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_03) ).

cnf(c_54,plain,
    product(a3,a4) = a2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_04) ).

cnf(c_55,plain,
    product(a2,a10) = a5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_05) ).

cnf(c_56,plain,
    product(a5,a4) = a6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_06) ).

cnf(c_57,plain,
    product(a6,a1) = a7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_07) ).

cnf(c_58,plain,
    product(a7,a4) = a8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_08) ).

cnf(c_59,plain,
    product(a8,a9) = a10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_09) ).

cnf(c_60,plain,
    product(a10,a3) = a4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_10) ).

cnf(c_61,plain,
    product(a4,a8) = a9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_11) ).

cnf(c_62,negated_conjecture,
    tuple(a1,a9,a8,a6,a7,a2,a3,a4,a5) != tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

cnf(c_98,plain,
    tuple(a1,a9,a8,a6,a7,a2,a3,a4,a5) = sP0_iProver_def,
    definition ).

cnf(c_99,plain,
    tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6) = sP1_iProver_def,
    definition ).

cnf(c_100,negated_conjecture,
    sP0_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_62,c_99,c_98]) ).

cnf(c_174,plain,
    product(a1,a7) = a9,
    inference(superposition,[status(thm)],[c_52,c_50]) ).

cnf(c_175,plain,
    product(a3,a2) = a1,
    inference(superposition,[status(thm)],[c_53,c_50]) ).

cnf(c_176,plain,
    product(a2,a4) = a3,
    inference(superposition,[status(thm)],[c_54,c_50]) ).

cnf(c_178,plain,
    product(a6,a4) = a5,
    inference(superposition,[status(thm)],[c_56,c_50]) ).

cnf(c_180,plain,
    product(a8,a4) = a7,
    inference(superposition,[status(thm)],[c_58,c_50]) ).

cnf(c_181,plain,
    product(a10,a9) = a8,
    inference(superposition,[status(thm)],[c_59,c_50]) ).

cnf(c_182,plain,
    product(a4,a3) = a10,
    inference(superposition,[status(thm)],[c_60,c_50]) ).

cnf(c_183,plain,
    product(a9,a8) = a4,
    inference(superposition,[status(thm)],[c_61,c_50]) ).

cnf(c_195,plain,
    product(product(X0,X1),X0) = product(X0,product(X1,X0)),
    inference(superposition,[status(thm)],[c_49,c_51]) ).

cnf(c_199,plain,
    product(product(a1,X0),a2) = product(a3,product(X0,a2)),
    inference(superposition,[status(thm)],[c_53,c_51]) ).

cnf(c_200,plain,
    product(product(a3,X0),a4) = product(a2,product(X0,a4)),
    inference(superposition,[status(thm)],[c_54,c_51]) ).

cnf(c_201,plain,
    product(product(a2,X0),a10) = product(a5,product(X0,a10)),
    inference(superposition,[status(thm)],[c_55,c_51]) ).

cnf(c_210,plain,
    product(product(a2,X0),a4) = product(a3,product(X0,a4)),
    inference(superposition,[status(thm)],[c_176,c_51]) ).

cnf(c_360,plain,
    product(a3,product(a4,a3)) = product(a2,a3),
    inference(superposition,[status(thm)],[c_54,c_195]) ).

cnf(c_367,plain,
    product(a4,product(a8,a4)) = product(a9,a4),
    inference(superposition,[status(thm)],[c_61,c_195]) ).

cnf(c_369,plain,
    product(a3,product(a2,a3)) = product(a1,a3),
    inference(superposition,[status(thm)],[c_175,c_195]) ).

cnf(c_374,plain,
    product(a8,product(a4,a8)) = product(a7,a8),
    inference(superposition,[status(thm)],[c_180,c_195]) ).

cnf(c_376,plain,
    product(a4,product(a3,a4)) = product(a10,a4),
    inference(superposition,[status(thm)],[c_182,c_195]) ).

cnf(c_377,plain,
    product(a9,product(a8,a9)) = product(a4,a9),
    inference(superposition,[status(thm)],[c_183,c_195]) ).

cnf(c_387,plain,
    product(a9,a10) = product(a4,a9),
    inference(light_normalisation,[status(thm)],[c_377,c_59]) ).

cnf(c_388,plain,
    product(a4,a2) = product(a10,a4),
    inference(light_normalisation,[status(thm)],[c_376,c_54]) ).

cnf(c_389,plain,
    product(a7,a8) = a10,
    inference(light_normalisation,[status(thm)],[c_374,c_59,c_61]) ).

cnf(c_393,plain,
    product(a9,a4) = product(a4,a7),
    inference(light_normalisation,[status(thm)],[c_367,c_180]) ).

cnf(c_395,plain,
    product(a3,a10) = product(a2,a3),
    inference(light_normalisation,[status(thm)],[c_360,c_182]) ).

cnf(c_460,plain,
    product(product(a3,a10),a2) = product(a2,product(a3,a2)),
    inference(superposition,[status(thm)],[c_395,c_195]) ).

cnf(c_464,plain,
    product(product(a3,a10),a2) = product(a2,a1),
    inference(light_normalisation,[status(thm)],[c_460,c_175]) ).

cnf(c_522,plain,
    product(product(a4,a9),a10) = a9,
    inference(superposition,[status(thm)],[c_387,c_50]) ).

cnf(c_587,plain,
    product(product(a4,a2),a4) = a10,
    inference(superposition,[status(thm)],[c_388,c_50]) ).

cnf(c_766,plain,
    product(a3,product(a3,a10)) = product(a1,a3),
    inference(light_normalisation,[status(thm)],[c_369,c_395]) ).

cnf(c_938,plain,
    product(a2,product(a2,a4)) = product(a1,a4),
    inference(superposition,[status(thm)],[c_175,c_200]) ).

cnf(c_939,plain,
    product(a2,product(product(a3,a10),a4)) = product(product(a1,a3),a4),
    inference(superposition,[status(thm)],[c_766,c_200]) ).

cnf(c_945,plain,
    product(a1,a4) = product(a3,a10),
    inference(light_normalisation,[status(thm)],[c_938,c_176,c_395]) ).

cnf(c_961,plain,
    product(product(a3,a10),a4) = a1,
    inference(superposition,[status(thm)],[c_945,c_50]) ).

cnf(c_963,plain,
    product(product(a3,a10),a2) = product(a3,product(a4,a2)),
    inference(superposition,[status(thm)],[c_945,c_199]) ).

cnf(c_964,plain,
    product(a3,product(a4,a2)) = product(a2,a1),
    inference(light_normalisation,[status(thm)],[c_963,c_464]) ).

cnf(c_1048,plain,
    product(a2,product(product(a4,a2),a4)) = product(product(a2,a1),a4),
    inference(superposition,[status(thm)],[c_964,c_200]) ).

cnf(c_1049,plain,
    product(product(a2,a1),a4) = a5,
    inference(light_normalisation,[status(thm)],[c_1048,c_55,c_587]) ).

cnf(c_1066,plain,
    product(a1,a3) = a5,
    inference(demodulation,[status(thm)],[c_1049,c_210,c_766,c_945]) ).

cnf(c_1067,plain,
    product(a3,product(a3,a10)) = a5,
    inference(demodulation,[status(thm)],[c_766,c_1066]) ).

cnf(c_1070,plain,
    product(a5,a3) = a1,
    inference(superposition,[status(thm)],[c_1066,c_50]) ).

cnf(c_1107,plain,
    product(a2,product(product(a3,a10),a4)) = product(a5,a4),
    inference(superposition,[status(thm)],[c_1067,c_200]) ).

cnf(c_1108,plain,
    product(a2,a1) = a6,
    inference(light_normalisation,[status(thm)],[c_1107,c_56,c_939,c_961]) ).

cnf(c_1120,plain,
    product(a6,a1) = a2,
    inference(superposition,[status(thm)],[c_1108,c_50]) ).

cnf(c_1122,plain,
    a7 = a2,
    inference(light_normalisation,[status(thm)],[c_1120,c_57]) ).

cnf(c_1132,plain,
    product(a4,a7) = product(a10,a4),
    inference(demodulation,[status(thm)],[c_388,c_1122]) ).

cnf(c_1134,plain,
    tuple(a7,a10,a9,a7,a8,a3,a4,a5,a6) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_99,c_1122]) ).

cnf(c_1136,plain,
    product(a7,a4) = a3,
    inference(demodulation,[status(thm)],[c_176,c_1122]) ).

cnf(c_1137,plain,
    product(a3,a7) = a1,
    inference(demodulation,[status(thm)],[c_175,c_1122]) ).

cnf(c_1138,plain,
    tuple(a1,a9,a8,a6,a7,a7,a3,a4,a5) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_98,c_1122]) ).

cnf(c_1139,plain,
    product(a7,a10) = a5,
    inference(demodulation,[status(thm)],[c_55,c_1122]) ).

cnf(c_1141,plain,
    product(a1,a7) = a3,
    inference(demodulation,[status(thm)],[c_53,c_1122]) ).

cnf(c_1142,plain,
    a9 = a3,
    inference(light_normalisation,[status(thm)],[c_1141,c_174]) ).

cnf(c_1144,plain,
    product(a5,a9) = a1,
    inference(demodulation,[status(thm)],[c_1070,c_1142]) ).

cnf(c_1149,plain,
    product(a10,a9) = a4,
    inference(demodulation,[status(thm)],[c_60,c_1142]) ).

cnf(c_1150,plain,
    a4 = a8,
    inference(light_normalisation,[status(thm)],[c_1149,c_181]) ).

cnf(c_1156,plain,
    product(a7,a4) = a10,
    inference(demodulation,[status(thm)],[c_389,c_1150]) ).

cnf(c_1158,plain,
    product(a9,a4) = a4,
    inference(demodulation,[status(thm)],[c_183,c_1150]) ).

cnf(c_1160,plain,
    product(a4,a4) = a7,
    inference(demodulation,[status(thm)],[c_180,c_1150]) ).

cnf(c_1162,plain,
    product(a4,a9) = a10,
    inference(demodulation,[status(thm)],[c_59,c_1150]) ).

cnf(c_1163,plain,
    product(a7,a4) = a4,
    inference(demodulation,[status(thm)],[c_58,c_1150]) ).

cnf(c_1164,plain,
    product(a10,a10) = a9,
    inference(demodulation,[status(thm)],[c_522,c_1162]) ).

cnf(c_1166,plain,
    product(a4,a7) = a4,
    inference(light_normalisation,[status(thm)],[c_1158,c_393]) ).

cnf(c_1182,plain,
    product(product(a7,X0),a10) = product(a5,product(X0,a10)),
    inference(light_normalisation,[status(thm)],[c_201,c_1122]) ).

cnf(c_1189,plain,
    product(a5,product(a10,a10)) = a7,
    inference(superposition,[status(thm)],[c_1182,c_50]) ).

cnf(c_1191,plain,
    a1 = a7,
    inference(light_normalisation,[status(thm)],[c_1189,c_1144,c_1164]) ).

cnf(c_1222,plain,
    product(a7,a4) = a9,
    inference(light_normalisation,[status(thm)],[c_1136,c_1142]) ).

cnf(c_1223,plain,
    a9 = a4,
    inference(demodulation,[status(thm)],[c_1222,c_1163]) ).

cnf(c_1224,plain,
    a3 = a4,
    inference(demodulation,[status(thm)],[c_1142,c_1223]) ).

cnf(c_1225,plain,
    a7 = a4,
    inference(light_normalisation,[status(thm)],[c_1137,c_1166,c_1191,c_1224]) ).

cnf(c_1226,plain,
    a1 = a4,
    inference(demodulation,[status(thm)],[c_1191,c_1225]) ).

cnf(c_1231,plain,
    product(a4,a10) = a5,
    inference(light_normalisation,[status(thm)],[c_1139,c_1225]) ).

cnf(c_1232,plain,
    product(a4,product(a10,a4)) = product(a5,a4),
    inference(superposition,[status(thm)],[c_1231,c_195]) ).

cnf(c_1236,plain,
    a4 = a6,
    inference(light_normalisation,[status(thm)],[c_1232,c_56,c_1132,c_1160,c_1166,c_1225]) ).

cnf(c_1239,plain,
    product(a4,a4) = a5,
    inference(demodulation,[status(thm)],[c_178,c_1236]) ).

cnf(c_1241,plain,
    a4 = a5,
    inference(light_normalisation,[status(thm)],[c_1239,c_1160,c_1225]) ).

cnf(c_1253,plain,
    a4 = a10,
    inference(light_normalisation,[status(thm)],[c_1156,c_1136,c_1224]) ).

cnf(c_1370,plain,
    tuple(a4,a4,a4,a4,a4,a4,a4,a4,a4) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_1134,c_1150,c_1223,c_1224,c_1225,c_1236,c_1241,c_1253]) ).

cnf(c_1371,plain,
    sP0_iProver_def = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_1138,c_1150,c_1223,c_1224,c_1225,c_1226,c_1236,c_1241,c_1370]) ).

cnf(c_1372,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1371,c_100]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : TOP049-1 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n011.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
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May  2 21:15:33 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  Running UEQ theorem proving
% 0.21/0.49  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
% 0.48/1.17  % SZS status Started for theBenchmark.p
% 0.48/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.17  
% 0.48/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.48/1.17  
% 0.48/1.17  ------  iProver source info
% 0.48/1.17  
% 0.48/1.17  git: date: 2024-05-02 19:28:25 +0000
% 0.48/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.48/1.17  git: non_committed_changes: false
% 0.48/1.17  
% 0.48/1.17  ------ Parsing...successful
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.48/1.17  
% 0.48/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.48/1.17  
% 0.48/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.48/1.17  ------ Proving...
% 0.48/1.17  ------ Problem Properties 
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  clauses                                 16
% 0.48/1.17  conjectures                             1
% 0.48/1.17  EPR                                     1
% 0.48/1.17  Horn                                    16
% 0.48/1.17  unary                                   16
% 0.48/1.17  binary                                  0
% 0.48/1.17  lits                                    16
% 0.48/1.17  lits eq                                 16
% 0.48/1.17  fd_pure                                 0
% 0.48/1.17  fd_pseudo                               0
% 0.48/1.17  fd_cond                                 0
% 0.48/1.17  fd_pseudo_cond                          0
% 0.48/1.17  AC symbols                              0
% 0.48/1.17  
% 0.48/1.17  ------ Input Options Time Limit: Unbounded
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  ------ 
% 0.48/1.17  Current options:
% 0.48/1.17  ------ 
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  ------ Proving...
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 0.48/1.17  
% 0.48/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.39/1.17  
% 3.39/1.17  
%------------------------------------------------------------------------------