TSTP Solution File: TOP053-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : TOP053-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 03:41:06 EDT 2024
% Result : Unsatisfiable 4.09s 1.10s
% Output : CNFRefutation 4.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 18
% Syntax : Number of clauses : 196 ( 196 unt; 0 nHn; 172 RR)
% Number of literals : 196 ( 195 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-14 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
product(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle) ).
cnf(c_50,plain,
product(product(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',involutory_quandle_02) ).
cnf(c_52,plain,
product(a1,a2) = a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot) ).
cnf(c_54,plain,
product(a5,a6) = a7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_04) ).
cnf(c_55,plain,
product(a7,a3) = a8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_05) ).
cnf(c_56,plain,
product(a8,a2) = a9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_06) ).
cnf(c_57,plain,
product(a9,a1) = a10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_07) ).
cnf(c_58,plain,
product(a10,a11) = a12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_08) ).
cnf(c_59,plain,
product(a12,a3) = a13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_09) ).
cnf(c_60,plain,
product(a13,a8) = a6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_10) ).
cnf(c_61,plain,
product(a6,a7) = a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_11) ).
cnf(c_62,plain,
product(a2,a12) = a14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_12) ).
cnf(c_63,plain,
product(a14,a3) = a15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_13) ).
cnf(c_64,plain,
product(a15,a8) = a4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_14) ).
cnf(c_65,plain,
product(a4,a7) = a11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_15) ).
cnf(c_66,plain,
product(a11,a10) = a1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_16) ).
cnf(c_67,negated_conjecture,
tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c_202,plain,
product(a3,a2) = a1,
inference(superposition,[status(thm)],[c_52,c_50]) ).
cnf(c_204,plain,
product(a7,a6) = a5,
inference(superposition,[status(thm)],[c_54,c_50]) ).
cnf(c_205,plain,
product(a8,a3) = a7,
inference(superposition,[status(thm)],[c_55,c_50]) ).
cnf(c_206,plain,
product(a9,a2) = a8,
inference(superposition,[status(thm)],[c_56,c_50]) ).
cnf(c_207,plain,
product(a10,a1) = a9,
inference(superposition,[status(thm)],[c_57,c_50]) ).
cnf(c_209,plain,
product(a13,a3) = a12,
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_210,plain,
product(a6,a8) = a13,
inference(superposition,[status(thm)],[c_60,c_50]) ).
cnf(c_211,plain,
product(a2,a7) = a6,
inference(superposition,[status(thm)],[c_61,c_50]) ).
cnf(c_212,plain,
product(a14,a12) = a2,
inference(superposition,[status(thm)],[c_62,c_50]) ).
cnf(c_213,plain,
product(a15,a3) = a14,
inference(superposition,[status(thm)],[c_63,c_50]) ).
cnf(c_214,plain,
product(a4,a8) = a15,
inference(superposition,[status(thm)],[c_64,c_50]) ).
cnf(c_216,plain,
product(a1,a10) = a11,
inference(superposition,[status(thm)],[c_66,c_50]) ).
cnf(c_219,plain,
product(product(X0,X1),X0) = product(X0,product(X1,X0)),
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_222,plain,
product(product(a1,X0),a2) = product(a3,product(X0,a2)),
inference(superposition,[status(thm)],[c_52,c_51]) ).
cnf(c_224,plain,
product(product(a5,X0),a6) = product(a7,product(X0,a6)),
inference(superposition,[status(thm)],[c_54,c_51]) ).
cnf(c_225,plain,
product(product(a7,X0),a3) = product(a8,product(X0,a3)),
inference(superposition,[status(thm)],[c_55,c_51]) ).
cnf(c_226,plain,
product(product(a8,X0),a2) = product(a9,product(X0,a2)),
inference(superposition,[status(thm)],[c_56,c_51]) ).
cnf(c_227,plain,
product(product(a9,X0),a1) = product(a10,product(X0,a1)),
inference(superposition,[status(thm)],[c_57,c_51]) ).
cnf(c_230,plain,
product(product(a13,X0),a8) = product(a6,product(X0,a8)),
inference(superposition,[status(thm)],[c_60,c_51]) ).
cnf(c_231,plain,
product(product(a6,X0),a7) = product(a2,product(X0,a7)),
inference(superposition,[status(thm)],[c_61,c_51]) ).
cnf(c_233,plain,
product(product(a14,X0),a3) = product(a15,product(X0,a3)),
inference(superposition,[status(thm)],[c_63,c_51]) ).
cnf(c_234,plain,
product(product(a15,X0),a8) = product(a4,product(X0,a8)),
inference(superposition,[status(thm)],[c_64,c_51]) ).
cnf(c_235,plain,
product(product(a4,X0),a7) = product(a11,product(X0,a7)),
inference(superposition,[status(thm)],[c_65,c_51]) ).
cnf(c_240,plain,
product(product(X0,a1),a2) = product(product(X0,a2),a3),
inference(superposition,[status(thm)],[c_52,c_51]) ).
cnf(c_242,plain,
product(product(X0,a5),a6) = product(product(X0,a6),a7),
inference(superposition,[status(thm)],[c_54,c_51]) ).
cnf(c_243,plain,
product(product(X0,a3),a8) = product(product(X0,a7),a3),
inference(superposition,[status(thm)],[c_55,c_51]) ).
cnf(c_244,plain,
product(product(X0,a2),a9) = product(product(X0,a8),a2),
inference(superposition,[status(thm)],[c_56,c_51]) ).
cnf(c_249,plain,
product(product(X0,a6),a7) = product(product(X0,a7),a2),
inference(superposition,[status(thm)],[c_61,c_51]) ).
cnf(c_380,plain,
product(a9,product(a1,a9)) = product(a10,a9),
inference(superposition,[status(thm)],[c_57,c_219]) ).
cnf(c_384,plain,
product(a6,product(a7,a6)) = product(a2,a6),
inference(superposition,[status(thm)],[c_61,c_219]) ).
cnf(c_385,plain,
product(a2,product(a12,a2)) = product(a14,a2),
inference(superposition,[status(thm)],[c_62,c_219]) ).
cnf(c_392,plain,
product(a7,product(a6,a7)) = product(a5,a7),
inference(superposition,[status(thm)],[c_204,c_219]) ).
cnf(c_393,plain,
product(a8,product(a3,a8)) = product(a7,a8),
inference(superposition,[status(thm)],[c_205,c_219]) ).
cnf(c_395,plain,
product(a10,product(a1,a10)) = product(a9,a10),
inference(superposition,[status(thm)],[c_207,c_219]) ).
cnf(c_399,plain,
product(a2,product(a7,a2)) = product(a6,a2),
inference(superposition,[status(thm)],[c_211,c_219]) ).
cnf(c_404,plain,
product(a1,product(a10,a1)) = product(a11,a1),
inference(superposition,[status(thm)],[c_216,c_219]) ).
cnf(c_414,plain,
product(a1,a9) = product(a11,a1),
inference(light_normalisation,[status(thm)],[c_404,c_207]) ).
cnf(c_415,plain,
product(a9,a10) = a12,
inference(light_normalisation,[status(thm)],[c_395,c_58,c_216]) ).
cnf(c_416,plain,
product(a5,a7) = product(a7,a2),
inference(light_normalisation,[status(thm)],[c_392,c_61]) ).
cnf(c_418,plain,
product(a2,a6) = product(a6,a5),
inference(light_normalisation,[status(thm)],[c_384,c_204]) ).
cnf(c_535,plain,
product(a9,product(a11,a1)) = product(a10,a9),
inference(light_normalisation,[status(thm)],[c_380,c_414]) ).
cnf(c_614,plain,
product(product(a7,a8),product(a3,a8)) = a8,
inference(superposition,[status(thm)],[c_393,c_50]) ).
cnf(c_923,plain,
product(a3,product(a10,a2)) = product(a11,a2),
inference(superposition,[status(thm)],[c_216,c_222]) ).
cnf(c_925,plain,
product(product(a11,a1),a2) = product(a3,product(a9,a2)),
inference(superposition,[status(thm)],[c_414,c_222]) ).
cnf(c_934,plain,
product(product(a11,a1),a2) = product(a3,a8),
inference(light_normalisation,[status(thm)],[c_925,c_206]) ).
cnf(c_1035,plain,
product(product(a3,a8),a2) = product(a11,a1),
inference(superposition,[status(thm)],[c_934,c_50]) ).
cnf(c_1085,plain,
product(a8,product(a3,a3)) = a7,
inference(superposition,[status(thm)],[c_225,c_50]) ).
cnf(c_1096,plain,
product(a7,product(a3,a3)) = a8,
inference(superposition,[status(thm)],[c_1085,c_50]) ).
cnf(c_1104,plain,
product(product(X0,product(a3,a3)),a8) = product(product(X0,a7),product(a3,a3)),
inference(superposition,[status(thm)],[c_1096,c_51]) ).
cnf(c_1167,plain,
product(a9,product(a3,a2)) = product(a7,a2),
inference(superposition,[status(thm)],[c_205,c_226]) ).
cnf(c_1170,plain,
product(a9,product(product(a3,a8),a2)) = product(product(a7,a8),a2),
inference(superposition,[status(thm)],[c_393,c_226]) ).
cnf(c_1176,plain,
product(a7,a2) = a10,
inference(light_normalisation,[status(thm)],[c_1167,c_57,c_202]) ).
cnf(c_1179,plain,
product(product(a7,a8),a2) = product(a10,a9),
inference(light_normalisation,[status(thm)],[c_1170,c_535,c_1035]) ).
cnf(c_1181,plain,
product(a2,a10) = product(a6,a2),
inference(demodulation,[status(thm)],[c_399,c_1176]) ).
cnf(c_1183,plain,
product(a5,a7) = a10,
inference(demodulation,[status(thm)],[c_416,c_1176]) ).
cnf(c_1190,plain,
product(a10,a2) = a7,
inference(superposition,[status(thm)],[c_1176,c_50]) ).
cnf(c_1191,plain,
product(product(X0,a2),a10) = product(product(X0,a7),a2),
inference(superposition,[status(thm)],[c_1176,c_51]) ).
cnf(c_1195,plain,
product(a3,a7) = product(a11,a2),
inference(demodulation,[status(thm)],[c_923,c_1190]) ).
cnf(c_1208,plain,
product(a7,product(a7,a6)) = product(a10,a6),
inference(superposition,[status(thm)],[c_1183,c_224]) ).
cnf(c_1209,plain,
product(a7,a5) = product(a10,a6),
inference(light_normalisation,[status(thm)],[c_1208,c_204]) ).
cnf(c_1240,plain,
product(a10,product(a10,a1)) = product(a12,a1),
inference(superposition,[status(thm)],[c_415,c_227]) ).
cnf(c_1249,plain,
product(a10,a9) = product(a12,a1),
inference(light_normalisation,[status(thm)],[c_1240,c_207]) ).
cnf(c_1267,plain,
product(product(a2,a10),a2) = a6,
inference(superposition,[status(thm)],[c_1181,c_50]) ).
cnf(c_1287,plain,
product(product(a10,a9),a1) = a12,
inference(superposition,[status(thm)],[c_1249,c_50]) ).
cnf(c_1534,plain,
product(product(a10,a9),a2) = product(a7,a8),
inference(superposition,[status(thm)],[c_1179,c_50]) ).
cnf(c_1581,plain,
product(a6,product(a3,a8)) = product(a12,a8),
inference(superposition,[status(thm)],[c_209,c_230]) ).
cnf(c_1672,plain,
product(a2,product(a8,a7)) = product(a13,a7),
inference(superposition,[status(thm)],[c_210,c_231]) ).
cnf(c_1673,plain,
product(product(a2,a6),a7) = product(a2,product(a5,a7)),
inference(superposition,[status(thm)],[c_418,c_231]) ).
cnf(c_1685,plain,
product(product(a2,a6),a7) = product(a2,a10),
inference(light_normalisation,[status(thm)],[c_1673,c_1183]) ).
cnf(c_1839,plain,
product(a15,product(a12,a3)) = product(a2,a3),
inference(superposition,[status(thm)],[c_212,c_233]) ).
cnf(c_1848,plain,
product(a2,a3) = product(a15,a13),
inference(light_normalisation,[status(thm)],[c_1839,c_59]) ).
cnf(c_1946,plain,
product(a4,product(a3,a8)) = product(a14,a8),
inference(superposition,[status(thm)],[c_213,c_234]) ).
cnf(c_1950,plain,
product(product(a2,a3),a8) = product(a4,product(a13,a8)),
inference(superposition,[status(thm)],[c_1848,c_234]) ).
cnf(c_1958,plain,
product(product(a2,a3),a8) = product(a4,a6),
inference(light_normalisation,[status(thm)],[c_1950,c_60]) ).
cnf(c_2068,plain,
product(product(a12,a8),product(a3,a8)) = a6,
inference(superposition,[status(thm)],[c_1581,c_50]) ).
cnf(c_2359,plain,
product(product(a14,a8),product(a3,a8)) = a4,
inference(superposition,[status(thm)],[c_1946,c_50]) ).
cnf(c_2408,plain,
product(product(a4,a6),a8) = product(a2,a3),
inference(superposition,[status(thm)],[c_1958,c_50]) ).
cnf(c_2597,plain,
product(product(a11,a2),a3) = product(a3,a8),
inference(demodulation,[status(thm)],[c_934,c_240]) ).
cnf(c_2598,plain,
product(product(a3,a7),a3) = product(a3,a8),
inference(light_normalisation,[status(thm)],[c_2597,c_1195]) ).
cnf(c_2610,plain,
product(product(product(a10,a9),a2),a3) = product(a12,a2),
inference(superposition,[status(thm)],[c_1287,c_240]) ).
cnf(c_2615,plain,
product(product(a2,a2),a3) = product(a2,product(a1,a2)),
inference(superposition,[status(thm)],[c_240,c_219]) ).
cnf(c_2625,plain,
product(product(a2,a2),a3) = product(a2,a3),
inference(light_normalisation,[status(thm)],[c_2615,c_52]) ).
cnf(c_2626,plain,
product(product(a7,a8),a3) = product(a12,a2),
inference(light_normalisation,[status(thm)],[c_2610,c_1534]) ).
cnf(c_2792,plain,
product(product(X0,a2),a10) = product(product(X0,a5),a6),
inference(light_normalisation,[status(thm)],[c_242,c_249,c_1191]) ).
cnf(c_2799,plain,
product(product(a5,a2),a10) = product(a5,a6),
inference(superposition,[status(thm)],[c_49,c_2792]) ).
cnf(c_2810,plain,
product(product(a5,a2),a10) = product(a7,product(a5,a6)),
inference(superposition,[status(thm)],[c_2792,c_224]) ).
cnf(c_2811,plain,
product(product(a5,a2),a10) = a7,
inference(light_normalisation,[status(thm)],[c_2799,c_54]) ).
cnf(c_2812,plain,
product(product(a5,a2),a10) = product(a7,a7),
inference(light_normalisation,[status(thm)],[c_2810,c_54]) ).
cnf(c_2826,plain,
product(a5,a2) = product(a7,a10),
inference(superposition,[status(thm)],[c_2811,c_50]) ).
cnf(c_2870,plain,
product(product(a3,a8),a3) = product(a3,a7),
inference(superposition,[status(thm)],[c_2598,c_50]) ).
cnf(c_2879,plain,
product(product(a2,a3),a3) = product(a2,a2),
inference(superposition,[status(thm)],[c_2625,c_50]) ).
cnf(c_2889,plain,
product(a8,product(a8,a3)) = product(a12,a2),
inference(superposition,[status(thm)],[c_2626,c_225]) ).
cnf(c_2890,plain,
product(a8,a7) = product(a12,a2),
inference(light_normalisation,[status(thm)],[c_2889,c_205]) ).
cnf(c_2894,plain,
product(a2,product(a8,a7)) = product(a14,a2),
inference(demodulation,[status(thm)],[c_385,c_2890]) ).
cnf(c_2895,plain,
product(a13,a7) = product(a14,a2),
inference(light_normalisation,[status(thm)],[c_2894,c_1672]) ).
cnf(c_2942,plain,
product(product(a13,a7),a2) = a14,
inference(superposition,[status(thm)],[c_2895,c_50]) ).
cnf(c_2982,plain,
product(product(a3,a3),a8) = product(a3,a8),
inference(demodulation,[status(thm)],[c_2598,c_243]) ).
cnf(c_2991,plain,
product(product(a2,a3),a8) = product(a6,a3),
inference(superposition,[status(thm)],[c_211,c_243]) ).
cnf(c_3008,plain,
product(a4,a6) = product(a6,a3),
inference(light_normalisation,[status(thm)],[c_2991,c_1958]) ).
cnf(c_3038,plain,
product(product(a4,a6),a3) = a6,
inference(superposition,[status(thm)],[c_3008,c_50]) ).
cnf(c_3056,plain,
product(product(a7,a10),a10) = product(a7,a7),
inference(light_normalisation,[status(thm)],[c_2812,c_2826]) ).
cnf(c_3109,plain,
product(product(a4,a2),a9) = product(a15,a2),
inference(superposition,[status(thm)],[c_214,c_244]) ).
cnf(c_3120,plain,
product(product(a2,a2),a9) = product(a2,product(a8,a2)),
inference(superposition,[status(thm)],[c_244,c_219]) ).
cnf(c_3130,plain,
product(product(a2,a2),a9) = product(a2,a9),
inference(light_normalisation,[status(thm)],[c_3120,c_56]) ).
cnf(c_3215,plain,
product(product(X0,product(a3,a3)),a8) = product(product(X0,a8),product(a3,a8)),
inference(superposition,[status(thm)],[c_2982,c_51]) ).
cnf(c_3217,plain,
product(product(X0,a7),product(a3,a3)) = product(product(X0,a8),product(a3,a8)),
inference(light_normalisation,[status(thm)],[c_3215,c_1104]) ).
cnf(c_3219,plain,
product(product(a7,a7),product(a3,a3)) = a8,
inference(demodulation,[status(thm)],[c_614,c_3217]) ).
cnf(c_3220,plain,
product(product(a12,a7),product(a3,a3)) = a6,
inference(demodulation,[status(thm)],[c_2068,c_3217]) ).
cnf(c_3221,plain,
product(product(a14,a7),product(a3,a3)) = a4,
inference(demodulation,[status(thm)],[c_2359,c_3217]) ).
cnf(c_3273,plain,
product(product(a7,a7),a3) = a8,
inference(superposition,[status(thm)],[c_49,c_3219]) ).
cnf(c_3326,plain,
product(product(a2,a9),a9) = product(a2,a2),
inference(superposition,[status(thm)],[c_3130,c_50]) ).
cnf(c_3333,plain,
product(product(a12,a7),a3) = a6,
inference(superposition,[status(thm)],[c_49,c_3220]) ).
cnf(c_3344,plain,
product(a6,a3) = product(a12,a7),
inference(superposition,[status(thm)],[c_3333,c_50]) ).
cnf(c_3350,plain,
product(a4,a6) = product(a12,a7),
inference(light_normalisation,[status(thm)],[c_3344,c_3008]) ).
cnf(c_3357,plain,
product(product(a14,a7),a3) = a4,
inference(superposition,[status(thm)],[c_49,c_3221]) ).
cnf(c_3369,plain,
product(a4,a3) = product(a14,a7),
inference(superposition,[status(thm)],[c_3357,c_50]) ).
cnf(c_3383,plain,
product(product(a4,a6),a7) = a12,
inference(superposition,[status(thm)],[c_3350,c_50]) ).
cnf(c_3407,plain,
product(a11,product(a6,a7)) = a12,
inference(superposition,[status(thm)],[c_3383,c_235]) ).
cnf(c_3408,plain,
product(a3,a7) = a12,
inference(light_normalisation,[status(thm)],[c_3407,c_61,c_1195]) ).
cnf(c_3412,plain,
product(product(a3,a8),a3) = a12,
inference(demodulation,[status(thm)],[c_2870,c_3408]) ).
cnf(c_3430,plain,
product(a12,a7) = a3,
inference(superposition,[status(thm)],[c_3408,c_50]) ).
cnf(c_3434,plain,
product(product(a3,a3),a8) = product(a12,a3),
inference(superposition,[status(thm)],[c_3408,c_243]) ).
cnf(c_3435,plain,
product(a3,a8) = a13,
inference(light_normalisation,[status(thm)],[c_3434,c_59,c_2982]) ).
cnf(c_3438,plain,
product(a4,a6) = a3,
inference(demodulation,[status(thm)],[c_3350,c_3430]) ).
cnf(c_3442,plain,
product(a3,a3) = a6,
inference(demodulation,[status(thm)],[c_3038,c_3438]) ).
cnf(c_3443,plain,
product(a6,a3) = a3,
inference(demodulation,[status(thm)],[c_3008,c_3438]) ).
cnf(c_3444,plain,
product(a2,a3) = product(a3,a8),
inference(demodulation,[status(thm)],[c_2408,c_3438]) ).
cnf(c_3451,plain,
product(product(a3,a8),a3) = product(a2,a2),
inference(demodulation,[status(thm)],[c_2879,c_3444]) ).
cnf(c_3467,plain,
product(a2,a2) = a12,
inference(light_normalisation,[status(thm)],[c_3451,c_3412]) ).
cnf(c_3519,plain,
product(a7,a6) = a8,
inference(demodulation,[status(thm)],[c_1096,c_3442]) ).
cnf(c_3524,plain,
a5 = a8,
inference(light_normalisation,[status(thm)],[c_3519,c_204]) ).
cnf(c_3532,plain,
product(a7,a10) = product(a8,a2),
inference(demodulation,[status(thm)],[c_2826,c_3524]) ).
cnf(c_3550,plain,
product(a7,a8) = product(a10,a6),
inference(demodulation,[status(thm)],[c_1209,c_3524]) ).
cnf(c_3569,plain,
product(a2,a6) = product(a6,a8),
inference(demodulation,[status(thm)],[c_418,c_3524]) ).
cnf(c_3574,plain,
tuple(a1,a2,a3,a4,a8,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a8,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
inference(demodulation,[status(thm)],[c_67,c_3524]) ).
cnf(c_3577,plain,
product(a2,a6) = a13,
inference(light_normalisation,[status(thm)],[c_3569,c_210]) ).
cnf(c_3578,plain,
product(a2,a10) = product(a13,a7),
inference(demodulation,[status(thm)],[c_1685,c_3577]) ).
cnf(c_3580,plain,
product(product(a2,a10),a2) = a14,
inference(demodulation,[status(thm)],[c_2942,c_3578]) ).
cnf(c_3582,plain,
a6 = a14,
inference(light_normalisation,[status(thm)],[c_3580,c_1267]) ).
cnf(c_3583,plain,
product(a4,a3) = product(a6,a7),
inference(demodulation,[status(thm)],[c_3369,c_3582]) ).
cnf(c_3599,plain,
product(a15,a3) = a6,
inference(demodulation,[status(thm)],[c_213,c_3582]) ).
cnf(c_3604,plain,
product(a4,a3) = a2,
inference(light_normalisation,[status(thm)],[c_3583,c_61]) ).
cnf(c_3617,plain,
product(a7,a10) = a9,
inference(light_normalisation,[status(thm)],[c_3532,c_56]) ).
cnf(c_3619,plain,
product(a7,a7) = product(a9,a10),
inference(demodulation,[status(thm)],[c_3056,c_3617]) ).
cnf(c_3630,plain,
product(a7,a7) = a12,
inference(light_normalisation,[status(thm)],[c_3619,c_415]) ).
cnf(c_3631,plain,
product(a12,a3) = a8,
inference(demodulation,[status(thm)],[c_3273,c_3630]) ).
cnf(c_3652,plain,
a8 = a13,
inference(light_normalisation,[status(thm)],[c_3631,c_59]) ).
cnf(c_3670,plain,
product(a8,a3) = a12,
inference(demodulation,[status(thm)],[c_209,c_3652]) ).
cnf(c_3671,plain,
product(a8,a8) = a6,
inference(demodulation,[status(thm)],[c_60,c_3652]) ).
cnf(c_3679,plain,
a7 = a12,
inference(light_normalisation,[status(thm)],[c_3670,c_205]) ).
cnf(c_3723,plain,
tuple(a1,a2,a3,a4,a8,a6,a7,a8,a9,a10,a11,a7,a8,a6) != tuple(a2,a3,a4,a8,a6,a7,a8,a9,a10,a11,a7,a8,a6,a15),
inference(light_normalisation,[status(thm)],[c_3574,c_3582,c_3652,c_3679]) ).
cnf(c_3724,plain,
a3 = a7,
inference(light_normalisation,[status(thm)],[c_3430,c_3630,c_3679]) ).
cnf(c_3725,plain,
tuple(a1,a2,a3,a4,a8,a6,a3,a8,a9,a10,a11,a3,a8,a6) != tuple(a2,a3,a4,a8,a6,a3,a8,a9,a10,a11,a3,a8,a6,a15),
inference(demodulation,[status(thm)],[c_3723,c_3724]) ).
cnf(c_3730,plain,
product(a3,a2) = a10,
inference(demodulation,[status(thm)],[c_1176,c_3724]) ).
cnf(c_3735,plain,
product(a4,a3) = a11,
inference(demodulation,[status(thm)],[c_65,c_3724]) ).
cnf(c_3736,plain,
product(a6,a3) = a2,
inference(demodulation,[status(thm)],[c_61,c_3724]) ).
cnf(c_3737,plain,
product(a3,a3) = a8,
inference(demodulation,[status(thm)],[c_55,c_3724]) ).
cnf(c_3738,plain,
a6 = a8,
inference(light_normalisation,[status(thm)],[c_3737,c_3442]) ).
cnf(c_3739,plain,
a2 = a3,
inference(light_normalisation,[status(thm)],[c_3736,c_3443]) ).
cnf(c_3740,plain,
a2 = a11,
inference(light_normalisation,[status(thm)],[c_3735,c_3604]) ).
cnf(c_3743,plain,
a1 = a10,
inference(light_normalisation,[status(thm)],[c_3730,c_202]) ).
cnf(c_3748,plain,
product(product(a4,a3),a9) = product(a15,a3),
inference(demodulation,[status(thm)],[c_3109,c_3739]) ).
cnf(c_3763,plain,
product(a3,a3) = a1,
inference(demodulation,[status(thm)],[c_202,c_3739]) ).
cnf(c_3766,plain,
a1 = a6,
inference(light_normalisation,[status(thm)],[c_3763,c_3442]) ).
cnf(c_3782,plain,
product(a10,a6) = a9,
inference(demodulation,[status(thm)],[c_207,c_3766]) ).
cnf(c_3785,plain,
a8 = a9,
inference(light_normalisation,[status(thm)],[c_3782,c_3435,c_3550,c_3652,c_3724]) ).
cnf(c_3791,plain,
product(a2,a9) = a6,
inference(light_normalisation,[status(thm)],[c_3748,c_3599,c_3604]) ).
cnf(c_3804,plain,
a3 = a8,
inference(light_normalisation,[status(thm)],[c_3326,c_3467,c_3671,c_3679,c_3724,c_3738,c_3785,c_3791]) ).
cnf(c_3806,plain,
product(a4,a3) = a15,
inference(demodulation,[status(thm)],[c_214,c_3804]) ).
cnf(c_3807,plain,
product(a15,a3) = a4,
inference(demodulation,[status(thm)],[c_64,c_3804]) ).
cnf(c_3808,plain,
a3 = a4,
inference(light_normalisation,[status(thm)],[c_3807,c_3599,c_3738,c_3804]) ).
cnf(c_3809,plain,
a3 = a15,
inference(light_normalisation,[status(thm)],[c_3806,c_3604,c_3739]) ).
cnf(c_3817,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a10,a3,a3,a3,a3,a3) != tuple(a10,a3,a3,a3,a3,a3,a3,a3,a3,a10,a3,a3,a3,a3),
inference(light_normalisation,[status(thm)],[c_3725,c_3738,c_3739,c_3740,c_3743,c_3785,c_3804,c_3808,c_3809]) ).
cnf(c_3840,plain,
a3 = a6,
inference(light_normalisation,[status(thm)],[c_3738,c_3804]) ).
cnf(c_3842,plain,
a1 = a3,
inference(light_normalisation,[status(thm)],[c_3766,c_3743,c_3840]) ).
cnf(c_3843,plain,
a3 = a10,
inference(demodulation,[status(thm)],[c_3743,c_3842]) ).
cnf(c_3845,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(demodulation,[status(thm)],[c_3817,c_3843]) ).
cnf(c_3846,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_3845]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : TOP053-1 : TPTP v8.1.2. Released v8.1.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n031.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 21:46:31 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running UEQ theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.09/1.10 % SZS status Started for theBenchmark.p
% 4.09/1.10 % SZS status Unsatisfiable for theBenchmark.p
% 4.09/1.10
% 4.09/1.10 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.09/1.10
% 4.09/1.10 ------ iProver source info
% 4.09/1.10
% 4.09/1.10 git: date: 2024-05-02 19:28:25 +0000
% 4.09/1.10 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.09/1.10 git: non_committed_changes: false
% 4.09/1.10
% 4.09/1.10 ------ Parsing...successful
% 4.09/1.10
% 4.09/1.10
% 4.09/1.10
% 4.09/1.10 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 4.09/1.10
% 4.09/1.10 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.09/1.10
% 4.09/1.10 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.09/1.10 ------ Proving...
% 4.09/1.10 ------ Problem Properties
% 4.09/1.10
% 4.09/1.10
% 4.09/1.10 clauses 19
% 4.09/1.10 conjectures 1
% 4.09/1.10 EPR 0
% 4.09/1.10 Horn 19
% 4.09/1.10 unary 19
% 4.09/1.10 binary 0
% 4.09/1.10 lits 19
% 4.09/1.10 lits eq 19
% 4.09/1.10 fd_pure 0
% 4.09/1.10 fd_pseudo 0
% 4.09/1.10 fd_cond 0
% 4.09/1.10 fd_pseudo_cond 0
% 4.09/1.10 AC symbols 0
% 4.09/1.10
% 4.09/1.10 ------ Input Options Time Limit: Unbounded
% 4.09/1.10
% 4.09/1.10
% 4.09/1.10 ------
% 4.09/1.10 Current options:
% 4.09/1.10 ------
% 4.09/1.10
% 4.09/1.10
% 4.09/1.10
% 4.09/1.10
% 4.09/1.10 ------ Proving...
% 4.09/1.10
% 4.09/1.10
% 4.09/1.10 % SZS status Unsatisfiable for theBenchmark.p
% 4.09/1.10
% 4.09/1.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.09/1.11
% 4.09/1.11
%------------------------------------------------------------------------------