TSTP Solution File: FLD011-3 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : FLD011-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 02:15:07 EDT 2024
% Result : Unsatisfiable 79.49s 11.73s
% Output : CNFRefutation 79.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_50,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_2) ).
cnf(c_51,negated_conjecture,
~ product(multiplicative_identity,multiplicative_inverse(multiplicative_inverse(a)),a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_3) ).
cnf(c_52,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X2,X3,X5)
| sum(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(c_53,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| sum(X4,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).
cnf(c_54,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(c_56,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(c_57,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
cnf(c_58,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| product(X4,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).
cnf(c_59,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
cnf(c_60,plain,
( ~ defined(X0)
| product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
cnf(c_61,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
cnf(c_62,plain,
( ~ sum(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X3,X5)
| ~ product(X2,X3,X6)
| sum(X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',distributivity_1) ).
cnf(c_63,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X5)
| ~ product(X0,X6,X3)
| ~ product(X1,X6,X4)
| product(X2,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',distributivity_2) ).
cnf(c_65,plain,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(c_67,plain,
( ~ defined(X0)
| ~ defined(X1)
| defined(multiply(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplication) ).
cnf(c_68,plain,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
cnf(c_69,plain,
( ~ defined(X0)
| sum(additive_identity,X0,additive_identity)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_inverse) ).
cnf(c_71,plain,
( ~ defined(X0)
| ~ defined(X1)
| product(X0,X1,multiply(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_multiplication) ).
cnf(c_77,plain,
~ sum(additive_identity,additive_identity,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',different_identities) ).
cnf(c_79,plain,
( ~ defined(additive_identity)
| product(multiplicative_identity,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_80,plain,
( ~ defined(additive_identity)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_82,plain,
( ~ defined(additive_identity)
| defined(multiply(additive_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_86,plain,
( ~ defined(additive_identity)
| product(additive_identity,additive_identity,multiply(additive_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_248,plain,
multiplicative_inverse(a) = sP0_iProver_def,
definition ).
cnf(c_249,plain,
multiplicative_inverse(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_250,negated_conjecture,
~ product(multiplicative_identity,sP1_iProver_def,a),
inference(demodulation,[status(thm)],[c_51,c_248,c_249]) ).
cnf(c_251,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_704,plain,
( ~ defined(X0)
| sum(X0,additive_identity,X0) ),
inference(superposition,[status(thm)],[c_54,c_56]) ).
cnf(c_725,plain,
( ~ defined(X0)
| product(X0,multiplicative_identity,X0) ),
inference(superposition,[status(thm)],[c_59,c_61]) ).
cnf(c_726,plain,
( ~ defined(X0)
| ~ defined(X1)
| product(X1,X0,multiply(X0,X1)) ),
inference(superposition,[status(thm)],[c_71,c_61]) ).
cnf(c_732,plain,
( ~ defined(additive_identity)
| product(additive_identity,multiplicative_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_725]) ).
cnf(c_756,plain,
( ~ defined(a)
| defined(multiplicative_inverse(a)) ),
inference(superposition,[status(thm)],[c_69,c_251]) ).
cnf(c_758,plain,
( ~ defined(a)
| defined(sP0_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_756,c_248]) ).
cnf(c_759,plain,
defined(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_758,c_49]) ).
cnf(c_782,plain,
( ~ defined(a)
| sum(additive_identity,a,additive_identity)
| product(sP0_iProver_def,a,multiplicative_identity) ),
inference(superposition,[status(thm)],[c_248,c_60]) ).
cnf(c_783,plain,
( ~ defined(sP0_iProver_def)
| sum(additive_identity,sP0_iProver_def,additive_identity)
| product(sP1_iProver_def,sP0_iProver_def,multiplicative_identity) ),
inference(superposition,[status(thm)],[c_249,c_60]) ).
cnf(c_785,plain,
( sum(additive_identity,sP0_iProver_def,additive_identity)
| product(sP1_iProver_def,sP0_iProver_def,multiplicative_identity) ),
inference(forward_subsumption_resolution,[status(thm)],[c_783,c_759]) ).
cnf(c_788,plain,
product(sP0_iProver_def,a,multiplicative_identity),
inference(forward_subsumption_resolution,[status(thm)],[c_782,c_251,c_49]) ).
cnf(c_873,plain,
product(a,sP0_iProver_def,multiplicative_identity),
inference(superposition,[status(thm)],[c_788,c_61]) ).
cnf(c_1208,plain,
( ~ product(multiply(X0,X1),X2,X3)
| ~ product(X0,X1,multiply(X0,X1))
| ~ product(X1,X2,X4)
| product(X0,X4,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_1209,plain,
( ~ product(X0,X1,X2)
| ~ product(multiplicative_identity,X0,X3)
| ~ product(multiplicative_identity,X2,X2)
| product(X3,X1,X2) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_1228,plain,
( ~ product(a,X0,X1)
| ~ product(multiplicative_identity,X0,X2)
| product(sP0_iProver_def,X1,X2) ),
inference(superposition,[status(thm)],[c_788,c_57]) ).
cnf(c_1229,plain,
( ~ product(multiplicative_identity,X0,X1)
| ~ product(sP0_iProver_def,X0,X2)
| product(sP1_iProver_def,X2,X1)
| sum(additive_identity,sP0_iProver_def,additive_identity) ),
inference(superposition,[status(thm)],[c_785,c_57]) ).
cnf(c_1231,plain,
( ~ product(multiplicative_identity,X0,X1)
| ~ product(sP0_iProver_def,X0,X2)
| product(a,X2,X1) ),
inference(superposition,[status(thm)],[c_873,c_57]) ).
cnf(c_1280,plain,
( ~ sum(X0,X1,X2)
| ~ product(X0,X3,additive_identity)
| ~ product(X1,X3,additive_identity)
| ~ product(X2,X3,multiplicative_identity)
| sum(additive_identity,additive_identity,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_1283,plain,
( ~ sum(multiply(X0,X1),X2,X3)
| ~ product(X0,X1,multiply(X0,X1))
| ~ sum(X0,X4,X5)
| ~ product(X4,X1,X2)
| product(X5,X1,X3) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_1373,plain,
( ~ product(multiplicative_identity,multiplicative_identity,X0)
| ~ defined(a)
| product(sP0_iProver_def,a,X0) ),
inference(superposition,[status(thm)],[c_725,c_1228]) ).
cnf(c_1376,plain,
( ~ product(multiplicative_identity,sP0_iProver_def,X0)
| product(sP0_iProver_def,multiplicative_identity,X0) ),
inference(superposition,[status(thm)],[c_873,c_1228]) ).
cnf(c_1379,plain,
( ~ product(multiplicative_identity,multiplicative_identity,X0)
| product(sP0_iProver_def,a,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1373,c_49]) ).
cnf(c_1393,plain,
( ~ product(multiplicative_identity,sP0_iProver_def,additive_identity)
| product(sP0_iProver_def,multiplicative_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_1376]) ).
cnf(c_1410,plain,
( ~ product(sP0_iProver_def,X0,X1)
| ~ defined(X0)
| product(a,X1,X0) ),
inference(superposition,[status(thm)],[c_59,c_1231]) ).
cnf(c_1445,plain,
( ~ defined(multiplicative_identity)
| product(sP0_iProver_def,a,multiply(multiplicative_identity,multiplicative_identity)) ),
inference(superposition,[status(thm)],[c_726,c_1379]) ).
cnf(c_1446,plain,
product(sP0_iProver_def,a,multiply(multiplicative_identity,multiplicative_identity)),
inference(forward_subsumption_resolution,[status(thm)],[c_1445,c_68]) ).
cnf(c_1462,plain,
( ~ defined(a)
| product(a,multiplicative_identity,a) ),
inference(superposition,[status(thm)],[c_788,c_1410]) ).
cnf(c_1465,plain,
product(a,multiplicative_identity,a),
inference(forward_subsumption_resolution,[status(thm)],[c_1462,c_49]) ).
cnf(c_1481,plain,
product(multiplicative_identity,a,a),
inference(superposition,[status(thm)],[c_1465,c_61]) ).
cnf(c_1545,plain,
( ~ product(sP0_iProver_def,a,X0)
| product(sP1_iProver_def,X0,a)
| sum(additive_identity,sP0_iProver_def,additive_identity) ),
inference(superposition,[status(thm)],[c_1481,c_1229]) ).
cnf(c_1620,plain,
( ~ product(a,X0,X1)
| ~ product(sP0_iProver_def,X1,X2)
| product(multiplicative_identity,X0,X2) ),
inference(superposition,[status(thm)],[c_788,c_58]) ).
cnf(c_2054,plain,
product(a,sP0_iProver_def,multiply(multiplicative_identity,multiplicative_identity)),
inference(superposition,[status(thm)],[c_1446,c_61]) ).
cnf(c_2072,plain,
( ~ defined(multiplicative_identity)
| sum(additive_identity,multiplicative_identity,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_2083,plain,
( ~ product(multiplicative_identity,sP0_iProver_def,X0)
| product(sP0_iProver_def,multiply(multiplicative_identity,multiplicative_identity),X0) ),
inference(superposition,[status(thm)],[c_2054,c_1228]) ).
cnf(c_2151,plain,
( ~ product(sP0_iProver_def,a,X0)
| product(multiplicative_identity,multiplicative_identity,X0) ),
inference(superposition,[status(thm)],[c_1465,c_1620]) ).
cnf(c_2229,plain,
( ~ defined(a)
| ~ defined(sP0_iProver_def)
| product(multiplicative_identity,multiplicative_identity,multiply(a,sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_726,c_2151]) ).
cnf(c_2230,plain,
product(multiplicative_identity,multiplicative_identity,multiplicative_identity),
inference(superposition,[status(thm)],[c_788,c_2151]) ).
cnf(c_2231,plain,
product(multiplicative_identity,multiplicative_identity,multiply(multiplicative_identity,multiplicative_identity)),
inference(superposition,[status(thm)],[c_1446,c_2151]) ).
cnf(c_2232,plain,
product(multiplicative_identity,multiplicative_identity,multiply(a,sP0_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_2229,c_759,c_49]) ).
cnf(c_2239,plain,
( ~ product(multiplicative_identity,X0,X1)
| ~ product(multiplicative_identity,X0,X2)
| product(multiplicative_identity,X1,X2) ),
inference(superposition,[status(thm)],[c_2230,c_57]) ).
cnf(c_2242,plain,
( ~ product(multiplicative_identity,X0,X1)
| ~ product(multiplicative_identity,X2,X0)
| product(multiplicative_identity,X2,X1) ),
inference(superposition,[status(thm)],[c_2230,c_58]) ).
cnf(c_2256,plain,
( ~ product(multiply(multiplicative_identity,multiplicative_identity),X0,X1)
| ~ product(X2,X0,X3)
| ~ product(multiplicative_identity,sP0_iProver_def,X2)
| product(sP0_iProver_def,X1,X3) ),
inference(superposition,[status(thm)],[c_2083,c_57]) ).
cnf(c_2282,plain,
( ~ product(multiply(multiplicative_identity,multiplicative_identity),additive_identity,additive_identity)
| ~ product(additive_identity,additive_identity,additive_identity)
| ~ product(multiplicative_identity,sP0_iProver_def,additive_identity)
| product(sP0_iProver_def,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_2256]) ).
cnf(c_2290,plain,
( ~ product(multiplicative_identity,X0,X1)
| product(X0,multiplicative_identity,X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_2460,plain,
( ~ product(X0,multiplicative_identity,X0)
| ~ product(multiplicative_identity,X0,X0)
| ~ product(multiplicative_identity,X0,X1)
| product(X1,multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_1209]) ).
cnf(c_2615,plain,
( ~ product(multiplicative_identity,X0,X1)
| ~ product(multiplicative_identity,X2,X0)
| product(multiply(multiplicative_identity,multiplicative_identity),X2,X1) ),
inference(superposition,[status(thm)],[c_2231,c_58]) ).
cnf(c_2639,plain,
( ~ product(multiplicative_identity,additive_identity,additive_identity)
| product(multiply(multiplicative_identity,multiplicative_identity),additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_2615]) ).
cnf(c_2755,plain,
( ~ product(X0,X1,multiply(X0,X1))
| ~ product(multiply(X0,X1),multiplicative_identity,X2)
| ~ product(X1,multiplicative_identity,X1)
| product(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_1208]) ).
cnf(c_2756,plain,
( ~ product(multiply(additive_identity,additive_identity),multiplicative_identity,additive_identity)
| ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| product(additive_identity,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_2755]) ).
cnf(c_2896,plain,
( ~ sum(multiply(X0,X1),X1,X2)
| ~ product(X0,X1,multiply(X0,X1))
| ~ sum(X0,multiplicative_identity,X3)
| ~ product(multiplicative_identity,X1,X1)
| product(X3,X1,X2) ),
inference(instantiation,[status(thm)],[c_1283]) ).
cnf(c_3128,plain,
( ~ product(multiplicative_identity,X0,X1)
| ~ defined(X0)
| product(multiplicative_identity,X1,X0) ),
inference(superposition,[status(thm)],[c_59,c_2239]) ).
cnf(c_3139,plain,
( ~ product(multiplicative_identity,multiplicative_identity,X0)
| product(multiplicative_identity,X0,multiplicative_identity) ),
inference(superposition,[status(thm)],[c_2230,c_2239]) ).
cnf(c_3254,plain,
( ~ sum(additive_identity,X0,X1)
| ~ product(X0,multiplicative_identity,additive_identity)
| ~ product(X1,multiplicative_identity,multiplicative_identity)
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| sum(additive_identity,additive_identity,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_1280]) ).
cnf(c_3256,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| ~ product(additive_identity,multiplicative_identity,multiplicative_identity)
| sum(additive_identity,additive_identity,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_3254]) ).
cnf(c_3478,plain,
product(multiplicative_identity,multiply(a,sP0_iProver_def),multiplicative_identity),
inference(superposition,[status(thm)],[c_2232,c_3139]) ).
cnf(c_3806,plain,
( sum(additive_identity,sP0_iProver_def,additive_identity)
| product(sP1_iProver_def,multiplicative_identity,a) ),
inference(superposition,[status(thm)],[c_788,c_1545]) ).
cnf(c_4183,plain,
( sum(additive_identity,sP0_iProver_def,additive_identity)
| product(multiplicative_identity,sP1_iProver_def,a) ),
inference(superposition,[status(thm)],[c_3806,c_61]) ).
cnf(c_4186,plain,
sum(additive_identity,sP0_iProver_def,additive_identity),
inference(forward_subsumption_resolution,[status(thm)],[c_4183,c_250]) ).
cnf(c_4187,plain,
( ~ sum(X0,X1,X2)
| ~ product(additive_identity,X3,X0)
| ~ product(sP0_iProver_def,X3,X1)
| product(additive_identity,X3,X2) ),
inference(superposition,[status(thm)],[c_4186,c_63]) ).
cnf(c_4189,plain,
( ~ sum(additive_identity,X0,X1)
| ~ sum(sP0_iProver_def,X0,X2)
| sum(additive_identity,X2,X1) ),
inference(superposition,[status(thm)],[c_4186,c_52]) ).
cnf(c_4192,plain,
( ~ sum(additive_identity,X0,X1)
| ~ sum(sP0_iProver_def,X2,X0)
| sum(additive_identity,X2,X1) ),
inference(superposition,[status(thm)],[c_4186,c_53]) ).
cnf(c_4379,plain,
( ~ sum(sP0_iProver_def,X0,X1)
| ~ defined(X1)
| sum(additive_identity,X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_4192]) ).
cnf(c_5455,plain,
( ~ defined(sP0_iProver_def)
| sum(additive_identity,additive_identity,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_704,c_4379]) ).
cnf(c_5461,plain,
sum(additive_identity,additive_identity,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_5455,c_759]) ).
cnf(c_5500,plain,
( ~ product(multiplicative_identity,X0,multiply(a,sP0_iProver_def))
| product(multiplicative_identity,X0,multiplicative_identity) ),
inference(superposition,[status(thm)],[c_3478,c_2242]) ).
cnf(c_5550,plain,
( ~ product(multiplicative_identity,additive_identity,multiply(a,sP0_iProver_def))
| product(multiplicative_identity,additive_identity,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_5500]) ).
cnf(c_5801,plain,
( ~ product(multiplicative_identity,X0,multiplicative_identity)
| product(X0,multiplicative_identity,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_2290]) ).
cnf(c_5804,plain,
( ~ product(multiplicative_identity,additive_identity,multiplicative_identity)
| product(additive_identity,multiplicative_identity,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_5801]) ).
cnf(c_5916,plain,
( ~ product(additive_identity,X0,additive_identity)
| ~ product(sP0_iProver_def,X0,additive_identity)
| product(additive_identity,X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_5461,c_4187]) ).
cnf(c_5925,plain,
( ~ sum(sP0_iProver_def,additive_identity,X0)
| sum(additive_identity,X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_5461,c_4189]) ).
cnf(c_6168,plain,
( ~ defined(sP0_iProver_def)
| sum(additive_identity,sP0_iProver_def,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_704,c_5925]) ).
cnf(c_6173,plain,
sum(additive_identity,sP0_iProver_def,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_6168,c_759]) ).
cnf(c_6506,plain,
( ~ product(multiplicative_identity,X0,multiply(X1,X2))
| ~ product(X0,multiplicative_identity,X0)
| ~ product(multiplicative_identity,X0,X0)
| product(multiply(X1,X2),multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_2460]) ).
cnf(c_6507,plain,
( ~ product(multiplicative_identity,additive_identity,multiply(additive_identity,additive_identity))
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| ~ product(multiplicative_identity,additive_identity,additive_identity)
| product(multiply(additive_identity,additive_identity),multiplicative_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_6506]) ).
cnf(c_6536,plain,
( ~ product(additive_identity,X0,additive_identity)
| ~ product(sP0_iProver_def,X0,sP0_iProver_def)
| product(additive_identity,X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_6173,c_4187]) ).
cnf(c_6899,plain,
( ~ product(sP0_iProver_def,multiplicative_identity,additive_identity)
| ~ defined(additive_identity)
| product(additive_identity,multiplicative_identity,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_725,c_5916]) ).
cnf(c_6900,plain,
( ~ product(sP0_iProver_def,multiplicative_identity,additive_identity)
| product(additive_identity,multiplicative_identity,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6899,c_65]) ).
cnf(c_7380,plain,
( ~ product(additive_identity,multiplicative_identity,additive_identity)
| ~ defined(sP0_iProver_def)
| product(additive_identity,multiplicative_identity,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_725,c_6536]) ).
cnf(c_7384,plain,
( ~ product(additive_identity,multiplicative_identity,additive_identity)
| product(additive_identity,multiplicative_identity,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7380,c_759]) ).
cnf(c_7416,plain,
( ~ sum(multiply(additive_identity,X0),X0,X1)
| ~ product(additive_identity,X0,multiply(additive_identity,X0))
| ~ product(multiplicative_identity,X0,X0)
| ~ sum(additive_identity,multiplicative_identity,multiplicative_identity)
| product(multiplicative_identity,X0,X1) ),
inference(instantiation,[status(thm)],[c_2896]) ).
cnf(c_15564,plain,
( ~ defined(a)
| sum(additive_identity,a,additive_identity)
| product(sP0_iProver_def,a,multiplicative_identity) ),
inference(superposition,[status(thm)],[c_248,c_60]) ).
cnf(c_15569,plain,
product(sP0_iProver_def,a,multiplicative_identity),
inference(forward_subsumption_resolution,[status(thm)],[c_15564,c_251,c_49]) ).
cnf(c_15594,plain,
( ~ defined(X0)
| product(X0,multiplicative_identity,X0) ),
inference(superposition,[status(thm)],[c_59,c_61]) ).
cnf(c_15596,plain,
product(a,sP0_iProver_def,multiplicative_identity),
inference(superposition,[status(thm)],[c_15569,c_61]) ).
cnf(c_15614,plain,
( ~ defined(a)
| defined(multiplicative_inverse(a)) ),
inference(superposition,[status(thm)],[c_69,c_251]) ).
cnf(c_15616,plain,
( ~ defined(a)
| defined(sP0_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_15614,c_248]) ).
cnf(c_15617,plain,
defined(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_15616,c_49]) ).
cnf(c_16076,plain,
( ~ product(multiplicative_identity,X0,X1)
| ~ product(sP0_iProver_def,X0,X2)
| product(a,X2,X1) ),
inference(superposition,[status(thm)],[c_15596,c_57]) ).
cnf(c_16372,plain,
( ~ product(a,X0,X1)
| ~ product(sP0_iProver_def,X2,X0)
| product(multiplicative_identity,X2,X1) ),
inference(superposition,[status(thm)],[c_15596,c_58]) ).
cnf(c_16680,plain,
( ~ product(sP0_iProver_def,X0,multiplicative_identity)
| ~ defined(a)
| product(multiplicative_identity,X0,a) ),
inference(superposition,[status(thm)],[c_15594,c_16372]) ).
cnf(c_16685,plain,
( ~ product(sP0_iProver_def,X0,multiplicative_identity)
| product(multiplicative_identity,X0,a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16680,c_49]) ).
cnf(c_16845,plain,
product(multiplicative_identity,a,a),
inference(superposition,[status(thm)],[c_15569,c_16685]) ).
cnf(c_16950,plain,
( ~ product(a,X0,X1)
| ~ product(a,X0,X2)
| product(multiplicative_identity,X1,X2) ),
inference(superposition,[status(thm)],[c_16845,c_57]) ).
cnf(c_17092,plain,
( ~ product(a,sP0_iProver_def,X0)
| product(multiplicative_identity,multiplicative_identity,X0) ),
inference(superposition,[status(thm)],[c_15596,c_16950]) ).
cnf(c_17269,plain,
( ~ defined(a)
| ~ defined(sP0_iProver_def)
| product(multiplicative_identity,multiplicative_identity,multiply(a,sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_71,c_17092]) ).
cnf(c_17273,plain,
product(multiplicative_identity,multiplicative_identity,multiply(a,sP0_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_17269,c_15617,c_49]) ).
cnf(c_17535,plain,
( ~ product(sP0_iProver_def,multiplicative_identity,X0)
| product(a,X0,multiply(a,sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_17273,c_16076]) ).
cnf(c_19218,plain,
( ~ product(sP0_iProver_def,X0,X1)
| ~ product(sP0_iProver_def,multiplicative_identity,X1)
| product(multiplicative_identity,X0,multiply(a,sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_17535,c_16372]) ).
cnf(c_19251,plain,
( ~ product(sP0_iProver_def,additive_identity,additive_identity)
| ~ product(sP0_iProver_def,multiplicative_identity,additive_identity)
| product(multiplicative_identity,additive_identity,multiply(a,sP0_iProver_def)) ),
inference(instantiation,[status(thm)],[c_19218]) ).
cnf(c_32373,plain,
product(additive_identity,multiplicative_identity,sP0_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_6900,c_65,c_732,c_7384]) ).
cnf(c_32377,plain,
product(multiplicative_identity,additive_identity,sP0_iProver_def),
inference(superposition,[status(thm)],[c_32373,c_61]) ).
cnf(c_32482,plain,
( ~ defined(additive_identity)
| product(multiplicative_identity,sP0_iProver_def,additive_identity) ),
inference(superposition,[status(thm)],[c_32377,c_3128]) ).
cnf(c_32485,plain,
product(multiplicative_identity,sP0_iProver_def,additive_identity),
inference(forward_subsumption_resolution,[status(thm)],[c_32482,c_65]) ).
cnf(c_48402,plain,
( ~ sum(multiply(additive_identity,X0),X0,multiply(X1,X2))
| ~ product(additive_identity,X0,multiply(additive_identity,X0))
| ~ product(multiplicative_identity,X0,X0)
| ~ sum(additive_identity,multiplicative_identity,multiplicative_identity)
| product(multiplicative_identity,X0,multiply(X1,X2)) ),
inference(instantiation,[status(thm)],[c_7416]) ).
cnf(c_48405,plain,
( ~ sum(multiply(additive_identity,additive_identity),additive_identity,multiply(additive_identity,additive_identity))
| ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
| ~ sum(additive_identity,multiplicative_identity,multiplicative_identity)
| ~ product(multiplicative_identity,additive_identity,additive_identity)
| product(multiplicative_identity,additive_identity,multiply(additive_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[c_48402]) ).
cnf(c_137112,plain,
( ~ defined(multiply(X0,X1))
| sum(additive_identity,multiply(X0,X1),multiply(X0,X1)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_137113,plain,
( ~ defined(multiply(additive_identity,additive_identity))
| sum(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[c_137112]) ).
cnf(c_317897,plain,
( ~ sum(X0,multiply(X1,X0),X2)
| sum(multiply(X1,X0),X0,X2) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_339611,plain,
( ~ sum(additive_identity,multiply(X0,additive_identity),multiply(X0,additive_identity))
| sum(multiply(X0,additive_identity),additive_identity,multiply(X0,additive_identity)) ),
inference(instantiation,[status(thm)],[c_317897]) ).
cnf(c_339613,plain,
( ~ sum(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
| sum(multiply(additive_identity,additive_identity),additive_identity,multiply(additive_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[c_339611]) ).
cnf(c_339614,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_339613,c_137113,c_48405,c_32485,c_19251,c_6507,c_5804,c_5550,c_3256,c_2756,c_2639,c_2282,c_2072,c_1393,c_732,c_86,c_82,c_80,c_79,c_77,c_65,c_68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD011-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 22:52:33 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 79.49/11.73 % SZS status Started for theBenchmark.p
% 79.49/11.73 % SZS status Unsatisfiable for theBenchmark.p
% 79.49/11.73
% 79.49/11.73 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 79.49/11.73
% 79.49/11.73 ------ iProver source info
% 79.49/11.73
% 79.49/11.73 git: date: 2024-05-02 19:28:25 +0000
% 79.49/11.73 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 79.49/11.73 git: non_committed_changes: false
% 79.49/11.73
% 79.49/11.73 ------ Parsing...successful
% 79.49/11.73
% 79.49/11.73
% 79.49/11.73
% 79.49/11.73 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 79.49/11.73
% 79.49/11.73 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 79.49/11.73
% 79.49/11.73 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 79.49/11.73 ------ Proving...
% 79.49/11.73 ------ Problem Properties
% 79.49/11.73
% 79.49/11.73
% 79.49/11.73 clauses 31
% 79.49/11.73 conjectures 2
% 79.49/11.73 EPR 21
% 79.49/11.73 Horn 28
% 79.49/11.73 unary 8
% 79.49/11.73 binary 6
% 79.49/11.73 lits 82
% 79.49/11.73 lits eq 2
% 79.49/11.73 fd_pure 0
% 79.49/11.73 fd_pseudo 0
% 79.49/11.73 fd_cond 0
% 79.49/11.73 fd_pseudo_cond 0
% 79.49/11.73 AC symbols 0
% 79.49/11.73
% 79.49/11.73 ------ Schedule dynamic 5 is on
% 79.49/11.73
% 79.49/11.73 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 79.49/11.73
% 79.49/11.73
% 79.49/11.73 ------
% 79.49/11.73 Current options:
% 79.49/11.73 ------
% 79.49/11.73
% 79.49/11.73
% 79.49/11.73
% 79.49/11.73
% 79.49/11.73 ------ Proving...
% 79.49/11.73 Proof_search_loop: time out after: 5836 full_loop iterations
% 79.49/11.73
% 79.49/11.73 ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 79.49/11.73
% 79.49/11.73
% 79.49/11.73 ------
% 79.49/11.73 Current options:
% 79.49/11.73 ------
% 79.49/11.73
% 79.49/11.73
% 79.49/11.73
% 79.49/11.73
% 79.49/11.73 ------ Proving...
% 79.49/11.73
% 79.49/11.73
% 79.49/11.73 % SZS status Unsatisfiable for theBenchmark.p
% 79.49/11.73
% 79.49/11.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 79.49/11.73
% 79.49/11.74
%------------------------------------------------------------------------------