TSTP Solution File: BOO008-2 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : BOO008-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 02:08:33 EDT 2024
% Result : Unsatisfiable 39.49s 5.60s
% Output : CNFRefutation 39.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 13
% Syntax : Number of clauses : 127 ( 127 unt; 0 nHn; 20 RR)
% Number of literals : 127 ( 126 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 205 ( 31 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
add(add(a,b),c) != add(a,add(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_associativity) ).
cnf(c_50,plain,
add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',commutativity_of_add) ).
cnf(c_51,plain,
multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',commutativity_of_multiply) ).
cnf(c_52,plain,
multiply(add(X0,X1),add(X2,X1)) = add(multiply(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity1) ).
cnf(c_53,plain,
multiply(add(X0,X1),add(X0,X2)) = add(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity2) ).
cnf(c_54,plain,
add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity3) ).
cnf(c_55,plain,
add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity4) ).
cnf(c_56,plain,
add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_inverse1) ).
cnf(c_58,plain,
multiply(X0,inverse(X0)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_inverse1) ).
cnf(c_60,plain,
multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_id1) ).
cnf(c_61,plain,
multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_id2) ).
cnf(c_62,plain,
add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_id1) ).
cnf(c_63,plain,
add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_id2) ).
cnf(c_109,plain,
add(a,add(b,c)) != add(c,add(a,b)),
inference(demodulation,[status(thm)],[c_49,c_50]) ).
cnf(c_200,plain,
inverse(multiplicative_identity) = additive_identity,
inference(superposition,[status(thm)],[c_58,c_61]) ).
cnf(c_225,plain,
multiply(X0,add(X1,X0)) = add(multiply(additive_identity,X1),X0),
inference(superposition,[status(thm)],[c_63,c_52]) ).
cnf(c_230,plain,
multiply(add(X0,X1),X1) = add(multiply(X0,additive_identity),X1),
inference(superposition,[status(thm)],[c_63,c_52]) ).
cnf(c_242,plain,
multiply(add(X0,X1),add(X1,X2)) = add(X1,multiply(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_53]) ).
cnf(c_244,plain,
add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
inference(superposition,[status(thm)],[c_56,c_53]) ).
cnf(c_245,plain,
multiply(X0,add(X0,X1)) = add(X0,multiply(additive_identity,X1)),
inference(superposition,[status(thm)],[c_62,c_53]) ).
cnf(c_250,plain,
multiply(add(X0,X1),X0) = add(X0,multiply(X1,additive_identity)),
inference(superposition,[status(thm)],[c_62,c_53]) ).
cnf(c_264,plain,
add(multiply(X0,X1),multiply(X2,X0)) = multiply(add(X1,X2),X0),
inference(superposition,[status(thm)],[c_51,c_54]) ).
cnf(c_268,plain,
multiply(add(X0,X1),inverse(X0)) = add(additive_identity,multiply(X1,inverse(X0))),
inference(superposition,[status(thm)],[c_58,c_54]) ).
cnf(c_269,plain,
add(X0,multiply(X1,multiplicative_identity)) = multiply(add(X0,X1),multiplicative_identity),
inference(superposition,[status(thm)],[c_60,c_54]) ).
cnf(c_270,plain,
add(X0,multiply(X1,X0)) = multiply(add(multiplicative_identity,X1),X0),
inference(superposition,[status(thm)],[c_61,c_54]) ).
cnf(c_277,plain,
add(multiply(X0,X1),X1) = multiply(add(X0,multiplicative_identity),X1),
inference(superposition,[status(thm)],[c_61,c_54]) ).
cnf(c_303,plain,
add(multiply(additive_identity,X0),inverse(X0)) = multiply(inverse(X0),multiplicative_identity),
inference(superposition,[status(thm)],[c_56,c_225]) ).
cnf(c_309,plain,
add(multiply(additive_identity,X0),multiplicative_identity) = add(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_225,c_61]) ).
cnf(c_347,plain,
add(multiply(X0,additive_identity),multiplicative_identity) = add(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_51,c_309]) ).
cnf(c_350,plain,
add(multiplicative_identity,multiplicative_identity) = add(additive_identity,multiplicative_identity),
inference(superposition,[status(thm)],[c_60,c_309]) ).
cnf(c_379,plain,
add(multiplicative_identity,multiplicative_identity) = multiplicative_identity,
inference(superposition,[status(thm)],[c_350,c_63]) ).
cnf(c_396,plain,
add(X0,multiply(multiplicative_identity,X1)) = multiply(multiplicative_identity,add(X0,X1)),
inference(superposition,[status(thm)],[c_61,c_55]) ).
cnf(c_598,plain,
multiply(X0,add(X1,X0)) = add(X0,multiply(additive_identity,X1)),
inference(superposition,[status(thm)],[c_50,c_245]) ).
cnf(c_781,plain,
multiply(add(X0,X1),X1) = add(X1,multiply(X0,additive_identity)),
inference(superposition,[status(thm)],[c_50,c_250]) ).
cnf(c_993,plain,
add(X0,multiply(multiplicative_identity,X0)) = multiply(multiplicative_identity,X0),
inference(superposition,[status(thm)],[c_379,c_270]) ).
cnf(c_1022,plain,
add(X0,X0) = X0,
inference(light_normalisation,[status(thm)],[c_993,c_61]) ).
cnf(c_1181,plain,
add(X0,multiply(X0,X1)) = multiply(X0,add(X0,X1)),
inference(superposition,[status(thm)],[c_1022,c_53]) ).
cnf(c_1184,plain,
add(X0,multiply(X1,X0)) = multiply(add(X0,X1),X0),
inference(superposition,[status(thm)],[c_1022,c_53]) ).
cnf(c_1185,plain,
add(multiply(X0,X1),X1) = multiply(add(X0,X1),X1),
inference(superposition,[status(thm)],[c_1022,c_52]) ).
cnf(c_1196,plain,
add(multiply(X0,X1),X1) = add(X1,multiply(X0,additive_identity)),
inference(light_normalisation,[status(thm)],[c_1185,c_781]) ).
cnf(c_1221,plain,
add(X0,multiply(X1,additive_identity)) = multiply(add(X1,multiplicative_identity),X0),
inference(light_normalisation,[status(thm)],[c_277,c_1196]) ).
cnf(c_1249,plain,
add(inverse(add(X0,multiplicative_identity)),multiply(X0,additive_identity)) = additive_identity,
inference(superposition,[status(thm)],[c_1221,c_58]) ).
cnf(c_1296,plain,
add(inverse(multiplicative_identity),multiply(multiplicative_identity,additive_identity)) = additive_identity,
inference(superposition,[status(thm)],[c_1022,c_1249]) ).
cnf(c_1297,plain,
add(inverse(add(X0,multiplicative_identity)),multiply(additive_identity,X0)) = additive_identity,
inference(superposition,[status(thm)],[c_51,c_1249]) ).
cnf(c_1299,plain,
add(inverse(add(multiplicative_identity,multiplicative_identity)),additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_61,c_1249]) ).
cnf(c_1312,plain,
add(multiply(X0,additive_identity),inverse(add(X0,multiplicative_identity))) = additive_identity,
inference(superposition,[status(thm)],[c_1249,c_50]) ).
cnf(c_1315,plain,
add(additive_identity,multiply(multiplicative_identity,additive_identity)) = additive_identity,
inference(light_normalisation,[status(thm)],[c_1296,c_200]) ).
cnf(c_1366,plain,
inverse(add(multiplicative_identity,multiplicative_identity)) = additive_identity,
inference(superposition,[status(thm)],[c_1299,c_62]) ).
cnf(c_1376,plain,
multiply(add(multiplicative_identity,multiplicative_identity),additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_1366,c_58]) ).
cnf(c_1377,plain,
add(add(multiplicative_identity,multiplicative_identity),additive_identity) = multiplicative_identity,
inference(superposition,[status(thm)],[c_1366,c_56]) ).
cnf(c_1386,plain,
multiply(additive_identity,add(multiplicative_identity,multiplicative_identity)) = additive_identity,
inference(superposition,[status(thm)],[c_1376,c_51]) ).
cnf(c_1409,plain,
add(multiply(add(multiplicative_identity,multiplicative_identity),additive_identity),additive_identity) = multiply(multiplicative_identity,additive_identity),
inference(superposition,[status(thm)],[c_1377,c_230]) ).
cnf(c_1413,plain,
add(multiply(additive_identity,add(multiplicative_identity,multiplicative_identity)),additive_identity) = multiply(additive_identity,multiplicative_identity),
inference(superposition,[status(thm)],[c_1377,c_225]) ).
cnf(c_1418,plain,
add(additive_identity,additive_identity) = multiply(additive_identity,multiplicative_identity),
inference(light_normalisation,[status(thm)],[c_1413,c_1386]) ).
cnf(c_1419,plain,
add(additive_identity,additive_identity) = multiply(multiplicative_identity,additive_identity),
inference(light_normalisation,[status(thm)],[c_1409,c_1376]) ).
cnf(c_1423,plain,
add(additive_identity,add(additive_identity,additive_identity)) = additive_identity,
inference(demodulation,[status(thm)],[c_1315,c_1419]) ).
cnf(c_1469,plain,
add(multiply(additive_identity,X0),add(additive_identity,additive_identity)) = multiply(additive_identity,add(X0,multiplicative_identity)),
inference(superposition,[status(thm)],[c_1418,c_55]) ).
cnf(c_1470,plain,
add(multiply(X0,multiplicative_identity),add(additive_identity,additive_identity)) = multiply(add(X0,additive_identity),multiplicative_identity),
inference(superposition,[status(thm)],[c_1418,c_54]) ).
cnf(c_1476,plain,
add(X0,add(additive_identity,additive_identity)) = X0,
inference(light_normalisation,[status(thm)],[c_1470,c_60,c_62]) ).
cnf(c_1502,plain,
add(multiply(additive_identity,X0),add(additive_identity,additive_identity)) = multiply(additive_identity,add(X0,add(additive_identity,additive_identity))),
inference(superposition,[status(thm)],[c_1423,c_52]) ).
cnf(c_1510,plain,
multiply(additive_identity,add(X0,multiplicative_identity)) = multiply(additive_identity,X0),
inference(light_normalisation,[status(thm)],[c_1502,c_1469,c_1476]) ).
cnf(c_1523,plain,
multiply(additive_identity,add(X0,multiplicative_identity)) = multiply(additive_identity,multiply(additive_identity,X0)),
inference(superposition,[status(thm)],[c_309,c_1510]) ).
cnf(c_1524,plain,
multiply(additive_identity,add(X0,multiplicative_identity)) = multiply(additive_identity,multiply(X0,additive_identity)),
inference(superposition,[status(thm)],[c_347,c_1510]) ).
cnf(c_1541,plain,
multiply(additive_identity,multiply(X0,additive_identity)) = multiply(additive_identity,X0),
inference(light_normalisation,[status(thm)],[c_1524,c_1510]) ).
cnf(c_1542,plain,
multiply(additive_identity,multiply(additive_identity,X0)) = multiply(additive_identity,X0),
inference(light_normalisation,[status(thm)],[c_1523,c_1510]) ).
cnf(c_1957,plain,
add(inverse(add(X0,multiplicative_identity)),multiply(additive_identity,multiply(additive_identity,X0))) = multiply(inverse(add(X0,multiplicative_identity)),additive_identity),
inference(superposition,[status(thm)],[c_1297,c_245]) ).
cnf(c_1963,plain,
add(multiply(additive_identity,X0),inverse(add(X0,multiplicative_identity))) = additive_identity,
inference(superposition,[status(thm)],[c_1297,c_50]) ).
cnf(c_1978,plain,
multiply(inverse(add(X0,multiplicative_identity)),additive_identity) = additive_identity,
inference(light_normalisation,[status(thm)],[c_1957,c_1297,c_1542]) ).
cnf(c_2000,plain,
add(multiply(X0,additive_identity),multiply(inverse(add(X0,multiplicative_identity)),additive_identity)) = multiply(additive_identity,multiply(X0,additive_identity)),
inference(superposition,[status(thm)],[c_1312,c_250]) ).
cnf(c_2020,plain,
add(multiply(X0,additive_identity),additive_identity) = multiply(additive_identity,X0),
inference(light_normalisation,[status(thm)],[c_2000,c_1541,c_1978]) ).
cnf(c_2487,plain,
add(multiply(additive_identity,X0),inverse(add(X0,multiplicative_identity))) = multiply(inverse(add(X0,multiplicative_identity)),multiplicative_identity),
inference(superposition,[status(thm)],[c_1510,c_303]) ).
cnf(c_2513,plain,
multiply(inverse(add(X0,multiplicative_identity)),multiplicative_identity) = additive_identity,
inference(light_normalisation,[status(thm)],[c_2487,c_1963]) ).
cnf(c_2693,plain,
inverse(add(X0,multiplicative_identity)) = additive_identity,
inference(superposition,[status(thm)],[c_2513,c_60]) ).
cnf(c_2700,plain,
add(multiply(X0,additive_identity),additive_identity) = additive_identity,
inference(demodulation,[status(thm)],[c_1312,c_2693]) ).
cnf(c_2705,plain,
multiply(additive_identity,X0) = additive_identity,
inference(light_normalisation,[status(thm)],[c_2700,c_2020]) ).
cnf(c_2714,plain,
multiply(X0,add(X0,X1)) = add(X0,additive_identity),
inference(demodulation,[status(thm)],[c_245,c_2705]) ).
cnf(c_2715,plain,
multiply(X0,add(X1,X0)) = add(additive_identity,X0),
inference(demodulation,[status(thm)],[c_225,c_2705]) ).
cnf(c_2719,plain,
multiply(X0,add(X1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2715,c_63,c_598]) ).
cnf(c_2720,plain,
multiply(X0,add(X0,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_2714,c_62,c_1181]) ).
cnf(c_2751,plain,
multiply(X0,additive_identity) = additive_identity,
inference(superposition,[status(thm)],[c_2705,c_51]) ).
cnf(c_2769,plain,
multiply(add(X0,X1),X0) = add(X0,additive_identity),
inference(demodulation,[status(thm)],[c_250,c_2751]) ).
cnf(c_2771,plain,
multiply(add(X0,X1),X0) = X0,
inference(light_normalisation,[status(thm)],[c_2769,c_62,c_1184]) ).
cnf(c_2850,plain,
add(X0,multiplicative_identity) = multiplicative_identity,
inference(superposition,[status(thm)],[c_2719,c_61]) ).
cnf(c_2875,plain,
add(multiplicative_identity,X0) = multiplicative_identity,
inference(superposition,[status(thm)],[c_2850,c_50]) ).
cnf(c_2886,plain,
add(X0,multiply(X1,X0)) = multiply(multiplicative_identity,X0),
inference(demodulation,[status(thm)],[c_270,c_2875]) ).
cnf(c_2887,plain,
add(X0,multiply(X1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2886,c_61]) ).
cnf(c_2894,plain,
add(multiply(multiplicative_identity,X0),X1) = multiply(multiplicative_identity,add(X0,X1)),
inference(superposition,[status(thm)],[c_2875,c_52]) ).
cnf(c_2899,plain,
add(multiply(X0,multiplicative_identity),X1) = multiply(add(X0,X1),multiplicative_identity),
inference(superposition,[status(thm)],[c_2875,c_52]) ).
cnf(c_2900,plain,
add(X0,multiply(X1,multiplicative_identity)) = add(X0,X1),
inference(light_normalisation,[status(thm)],[c_2899,c_60,c_269]) ).
cnf(c_2902,plain,
add(X0,multiply(multiplicative_identity,X1)) = add(X0,X1),
inference(light_normalisation,[status(thm)],[c_2894,c_61,c_396]) ).
cnf(c_2953,plain,
add(X0,multiply(X1,multiply(X2,X0))) = multiply(add(X0,X1),X0),
inference(superposition,[status(thm)],[c_2887,c_53]) ).
cnf(c_2957,plain,
add(X0,multiply(X1,multiply(X2,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_2953,c_2771]) ).
cnf(c_3023,plain,
add(add(X0,X1),multiply(X2,X1)) = add(X0,X1),
inference(superposition,[status(thm)],[c_2719,c_2957]) ).
cnf(c_5478,plain,
add(multiply(X0,X1),add(X2,X1)) = add(X2,X1),
inference(superposition,[status(thm)],[c_3023,c_50]) ).
cnf(c_6060,plain,
add(X0,add(X1,add(X2,X0))) = add(X1,add(X2,X0)),
inference(superposition,[status(thm)],[c_2719,c_5478]) ).
cnf(c_6063,plain,
add(X0,add(X1,add(X0,X2))) = add(X1,add(X0,X2)),
inference(superposition,[status(thm)],[c_2720,c_5478]) ).
cnf(c_6413,plain,
add(X0,multiply(inverse(X0),X1)) = add(X0,X1),
inference(light_normalisation,[status(thm)],[c_244,c_396,c_2902]) ).
cnf(c_6430,plain,
add(X0,add(X1,inverse(X0))) = add(X0,inverse(X0)),
inference(superposition,[status(thm)],[c_2719,c_6413]) ).
cnf(c_6431,plain,
add(X0,add(inverse(X0),X1)) = add(X0,inverse(X0)),
inference(superposition,[status(thm)],[c_2720,c_6413]) ).
cnf(c_6469,plain,
add(X0,add(inverse(X0),X1)) = multiplicative_identity,
inference(light_normalisation,[status(thm)],[c_6431,c_56]) ).
cnf(c_6470,plain,
add(X0,add(X1,inverse(X0))) = multiplicative_identity,
inference(light_normalisation,[status(thm)],[c_6430,c_56]) ).
cnf(c_6569,plain,
add(X0,multiply(X1,add(inverse(X0),X2))) = multiply(add(X0,X1),multiplicative_identity),
inference(superposition,[status(thm)],[c_6469,c_53]) ).
cnf(c_6582,plain,
add(X0,multiply(X1,add(inverse(X0),X2))) = add(X0,X1),
inference(light_normalisation,[status(thm)],[c_6569,c_269,c_2900]) ).
cnf(c_6618,plain,
add(X0,multiply(X1,add(X2,inverse(X0)))) = multiply(add(X0,X1),multiplicative_identity),
inference(superposition,[status(thm)],[c_6470,c_53]) ).
cnf(c_6632,plain,
add(X0,multiply(X1,add(X2,inverse(X0)))) = add(X0,X1),
inference(light_normalisation,[status(thm)],[c_6618,c_269,c_2900]) ).
cnf(c_7559,plain,
add(X0,multiply(add(inverse(X0),X1),X2)) = add(X0,X2),
inference(superposition,[status(thm)],[c_51,c_6582]) ).
cnf(c_7681,plain,
add(X0,multiply(add(X1,inverse(X0)),X2)) = add(X0,X2),
inference(superposition,[status(thm)],[c_51,c_6632]) ).
cnf(c_7684,plain,
add(X0,add(X1,multiply(X2,inverse(X0)))) = add(X0,add(X1,X2)),
inference(superposition,[status(thm)],[c_53,c_6632]) ).
cnf(c_14024,plain,
add(X0,add(X1,multiply(inverse(X0),X2))) = add(X0,add(X1,X2)),
inference(superposition,[status(thm)],[c_53,c_7681]) ).
cnf(c_28676,plain,
multiply(add(X0,X1),add(X2,X1)) = add(X1,multiply(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_242]) ).
cnf(c_29679,plain,
multiply(add(X0,X1),inverse(X1)) = add(multiply(inverse(X1),X0),additive_identity),
inference(superposition,[status(thm)],[c_58,c_264]) ).
cnf(c_29773,plain,
add(multiply(X0,X1),multiply(X1,X2)) = multiply(add(X2,X0),X1),
inference(superposition,[status(thm)],[c_264,c_50]) ).
cnf(c_29928,plain,
multiply(add(X0,X1),inverse(X1)) = add(additive_identity,multiply(X0,inverse(X1))),
inference(superposition,[status(thm)],[c_50,c_268]) ).
cnf(c_55821,plain,
add(X0,add(X1,multiply(inverse(X0),X2))) = add(X0,add(X2,X1)),
inference(superposition,[status(thm)],[c_28676,c_7559]) ).
cnf(c_56652,plain,
add(multiply(inverse(X0),X1),additive_identity) = add(additive_identity,multiply(X1,inverse(X0))),
inference(light_normalisation,[status(thm)],[c_29679,c_29928]) ).
cnf(c_56802,plain,
add(additive_identity,multiply(X0,inverse(X1))) = multiply(inverse(X1),X0),
inference(superposition,[status(thm)],[c_56652,c_62]) ).
cnf(c_56973,plain,
multiply(add(X0,X1),inverse(X1)) = add(additive_identity,multiply(inverse(X1),X0)),
inference(superposition,[status(thm)],[c_58,c_29773]) ).
cnf(c_58259,plain,
multiply(add(X0,X1),inverse(X1)) = multiply(inverse(X1),X0),
inference(light_normalisation,[status(thm)],[c_29928,c_56802,c_56973]) ).
cnf(c_58446,plain,
multiply(inverse(X0),add(X1,X0)) = multiply(inverse(X0),X1),
inference(superposition,[status(thm)],[c_58259,c_51]) ).
cnf(c_58756,plain,
multiply(inverse(X0),add(X0,X1)) = multiply(inverse(X0),X1),
inference(superposition,[status(thm)],[c_50,c_58446]) ).
cnf(c_78103,plain,
add(X0,add(X1,multiply(inverse(X0),X2))) = add(X0,add(X1,add(X2,X0))),
inference(superposition,[status(thm)],[c_58259,c_7684]) ).
cnf(c_78269,plain,
add(X0,add(X1,X2)) = add(X2,add(X1,X0)),
inference(light_normalisation,[status(thm)],[c_78103,c_6060,c_55821]) ).
cnf(c_78295,plain,
add(a,add(b,c)) != add(b,add(a,c)),
inference(demodulation,[status(thm)],[c_109,c_78269]) ).
cnf(c_112136,plain,
add(X0,add(X1,multiply(inverse(X0),X2))) = add(X0,add(X1,add(X0,X2))),
inference(superposition,[status(thm)],[c_58756,c_14024]) ).
cnf(c_112364,plain,
add(X0,add(X1,X2)) = add(X1,add(X2,X0)),
inference(light_normalisation,[status(thm)],[c_112136,c_6063,c_55821]) ).
cnf(c_112420,plain,
add(a,add(b,c)) != add(a,add(c,b)),
inference(demodulation,[status(thm)],[c_78295,c_112364]) ).
cnf(c_113598,plain,
$false,
inference(superposition,[status(thm)],[c_50,c_112420]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : BOO008-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 21:44:53 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.17/0.42 Running UEQ theorem proving
% 0.17/0.42 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
% 39.49/5.60 % SZS status Started for theBenchmark.p
% 39.49/5.60 % SZS status Unsatisfiable for theBenchmark.p
% 39.49/5.60
% 39.49/5.60 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 39.49/5.60
% 39.49/5.60 ------ iProver source info
% 39.49/5.60
% 39.49/5.60 git: date: 2024-05-02 19:28:25 +0000
% 39.49/5.60 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 39.49/5.60 git: non_committed_changes: false
% 39.49/5.60
% 39.49/5.60 ------ Parsing...successful
% 39.49/5.60
% 39.49/5.60
% 39.49/5.60
% 39.49/5.60 ------ Preprocessing... sup_sim: 5 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 39.49/5.60
% 39.49/5.60 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 39.49/5.60
% 39.49/5.60 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 39.49/5.60 ------ Proving...
% 39.49/5.60 ------ Problem Properties
% 39.49/5.60
% 39.49/5.60
% 39.49/5.60 clauses 13
% 39.49/5.60 conjectures 0
% 39.49/5.60 EPR 0
% 39.49/5.60 Horn 13
% 39.49/5.60 unary 13
% 39.49/5.60 binary 0
% 39.49/5.60 lits 13
% 39.49/5.60 lits eq 13
% 39.49/5.60 fd_pure 0
% 39.49/5.60 fd_pseudo 0
% 39.49/5.60 fd_cond 0
% 39.49/5.60 fd_pseudo_cond 0
% 39.49/5.60 AC symbols 0
% 39.49/5.60
% 39.49/5.60 ------ Input Options Time Limit: Unbounded
% 39.49/5.60
% 39.49/5.60
% 39.49/5.60 ------
% 39.49/5.60 Current options:
% 39.49/5.60 ------
% 39.49/5.60
% 39.49/5.60
% 39.49/5.60
% 39.49/5.60
% 39.49/5.60 ------ Proving...
% 39.49/5.60
% 39.49/5.60
% 39.49/5.60 % SZS status Unsatisfiable for theBenchmark.p
% 39.49/5.60
% 39.49/5.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 39.49/5.61
% 39.49/5.61
%------------------------------------------------------------------------------