%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : BOO015-4 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:00:14 PM UTC 2026
% Result : Unsatisfiable 1.38s 1.78s
% Output : CNFRefutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 129 ( 129 unt; 5 def)
% Number of atoms : 269 ( 128 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 117 ( 0 sgn 117 !; 0 ?; 101 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO004-0.ax',commutativity_of_add) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO004-0.ax',commutativity_of_multiply) ).
fof(f3,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO004-0.ax',distributivity1) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO004-0.ax',distributivity2) ).
fof(f5,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO004-0.ax',additive_id1) ).
fof(f6,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO004-0.ax',multiplicative_id1) ).
fof(f7,axiom,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO004-0.ax',additive_inverse1) ).
fof(f8,plain,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO004-0.ax',multiplicative_inverse1) ).
fof(f10,plain,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
inverse(multiply(a,b)) != add(inverse(a),inverse(b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_inverse_is_d) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : multiply(X0,X1) = multiply(X1,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(add(X0,X1),add(X0,X2)) = add(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_62,plain,
! [X0: $i] : add(X0,additive_identity) = X0,
inference(cnf_transformation,[],[f5]) ).
tcf(c_63,plain,
! [X0: $i] : multiply(X0,multiplicative_identity) = X0,
inference(cnf_transformation,[],[f6]) ).
tcf(c_64,plain,
! [X0: $i] : add(X0,inverse(X0)) = multiplicative_identity,
inference(cnf_transformation,[],[f8]) ).
tcf(c_65,plain,
! [X0: $i] : multiply(X0,inverse(X0)) = additive_identity,
inference(cnf_transformation,[],[f10]) ).
tcf(c_66,negated_conjecture,
add(inverse(a),inverse(b)) != inverse(multiply(a,b)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_98,definition,
iPr_def_10 = inverse(a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_99,definition,
iPr_def_11 = inverse(b),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_100,definition,
iPr_def_12 = add(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_101,definition,
iPr_def_13 = multiply(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_102,definition,
iPr_def_14 = inverse(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_103,negated_conjecture,
iPr_def_12 != iPr_def_14,
inference(demodulation,[status(thm)],[c_66,c_101,c_102,c_99,c_98,c_100]) ).
tcf(c_104,plain,
! [X0: $i] : multiply(X0,inverse(X0)) = additive_identity,
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_105,plain,
! [X0: $i] : add(X0,inverse(X0)) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_106,plain,
! [X0: $i] : multiply(X0,multiplicative_identity) = X0,
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_107,plain,
! [X0: $i] : add(X0,additive_identity) = X0,
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i] : add(multiply(X0,X1),multiply(X0,X2)) = multiply(X0,add(X1,X2)),
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(add(X0,X1),add(X0,X2)) = add(X0,multiply(X1,X2)),
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] : multiply(X0,X1) = multiply(X1,X0),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] : add(X0,X1) = add(X1,X0),
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_171,plain,
multiply(a,iPr_def_10) = additive_identity,
inference(superposition,[status(thm)],[c_98,c_104]) ).
tcf(c_172,plain,
multiply(b,iPr_def_11) = additive_identity,
inference(superposition,[status(thm)],[c_99,c_104]) ).
tcf(c_173,plain,
multiply(iPr_def_13,iPr_def_14) = additive_identity,
inference(superposition,[status(thm)],[c_102,c_104]) ).
tcf(c_174,plain,
add(a,iPr_def_10) = multiplicative_identity,
inference(superposition,[status(thm)],[c_98,c_105]) ).
tcf(c_175,plain,
add(b,iPr_def_11) = multiplicative_identity,
inference(superposition,[status(thm)],[c_99,c_105]) ).
tcf(c_176,plain,
add(iPr_def_13,iPr_def_14) = multiplicative_identity,
inference(superposition,[status(thm)],[c_102,c_105]) ).
tcf(c_177,plain,
! [X0: $i] : multiply(multiplicative_identity,X0) = X0,
inference(superposition,[status(thm)],[c_106,c_110]) ).
tcf(c_187,plain,
! [X0: $i] : add(additive_identity,X0) = X0,
inference(superposition,[status(thm)],[c_111,c_107]) ).
tcf(c_194,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X0,X1)) = multiply(X0,add(multiplicative_identity,X1)),
inference(superposition,[status(thm)],[c_106,c_108]) ).
tcf(c_195,plain,
! [X0: $i,X1: $i] : multiply(X0,add(inverse(X0),X1)) = add(additive_identity,multiply(X0,X1)),
inference(superposition,[status(thm)],[c_104,c_108]) ).
tcf(c_196,plain,
! [X0: $i] : multiply(a,add(X0,b)) = add(multiply(a,X0),iPr_def_13),
inference(superposition,[status(thm)],[c_101,c_108]) ).
tcf(c_199,plain,
! [X0: $i,X1: $i] : add(multiply(X0,X1),X0) = multiply(X0,add(X1,multiplicative_identity)),
inference(superposition,[status(thm)],[c_106,c_108]) ).
tcf(c_200,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X1,inverse(X0))) = add(multiply(X0,X1),additive_identity),
inference(superposition,[status(thm)],[c_104,c_108]) ).
tcf(c_241,plain,
! [X0: $i,X1: $i] : add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
inference(superposition,[status(thm)],[c_105,c_109]) ).
tcf(c_242,plain,
! [X0: $i] : multiply(iPr_def_12,add(iPr_def_10,X0)) = add(iPr_def_10,multiply(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_100,c_109]) ).
tcf(c_246,plain,
! [X0: $i,X1: $i] : multiply(add(X0,X1),X0) = add(X0,multiply(X1,additive_identity)),
inference(superposition,[status(thm)],[c_107,c_109]) ).
tcf(c_247,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X1,inverse(X0))) = multiply(add(X0,X1),multiplicative_identity),
inference(superposition,[status(thm)],[c_105,c_109]) ).
tcf(c_248,plain,
! [X0: $i] : multiply(add(iPr_def_10,X0),iPr_def_12) = add(iPr_def_10,multiply(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_100,c_109]) ).
tcf(c_271,plain,
add(iPr_def_14,iPr_def_13) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_176,c_111]) ).
tcf(c_272,plain,
add(iPr_def_11,b) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_175,c_111]) ).
tcf(c_273,plain,
add(iPr_def_10,a) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_174,c_111]) ).
tcf(c_274,plain,
multiply(iPr_def_14,iPr_def_13) = additive_identity,
inference(demodulation,[status(thm)],[c_173,c_110]) ).
tcf(c_275,plain,
multiply(iPr_def_11,b) = additive_identity,
inference(demodulation,[status(thm)],[c_172,c_110]) ).
tcf(c_276,plain,
multiply(iPr_def_10,a) = additive_identity,
inference(demodulation,[status(thm)],[c_171,c_110]) ).
tcf(c_277,plain,
! [X0: $i] : multiply(iPr_def_12,add(iPr_def_10,X0)) = add(iPr_def_10,multiply(X0,iPr_def_11)),
inference(demodulation,[status(thm)],[c_248,c_110]) ).
tcf(c_278,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X0,X1)) = add(X0,multiply(X1,additive_identity)),
inference(demodulation,[status(thm)],[c_246,c_110]) ).
tcf(c_279,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X0,X1)) = multiply(X0,add(X1,multiplicative_identity)),
inference(demodulation,[status(thm)],[c_199,c_111]) ).
tcf(c_280,plain,
! [X0: $i] : multiply(a,add(X0,b)) = add(iPr_def_13,multiply(a,X0)),
inference(demodulation,[status(thm)],[c_196,c_111]) ).
tcf(c_281,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X1,inverse(X0))) = add(X0,X1),
inference(demodulation,[status(thm)],[c_247,c_106]) ).
tcf(c_282,plain,
! [X0: $i,X1: $i] : add(X0,multiply(inverse(X0),X1)) = add(X0,X1),
inference(demodulation,[status(thm)],[c_241,c_177]) ).
tcf(c_283,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X1,inverse(X0))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_200,c_107]) ).
tcf(c_284,plain,
! [X0: $i,X1: $i] : multiply(X0,add(inverse(X0),X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_195,c_187]) ).
tcf(c_344,plain,
! [X0: $i] : multiply(add(iPr_def_14,X0),multiplicative_identity) = add(iPr_def_14,multiply(X0,iPr_def_13)),
inference(superposition,[status(thm)],[c_271,c_109]) ).
tcf(c_350,plain,
! [X0: $i] : multiply(iPr_def_14,add(X0,iPr_def_13)) = add(multiply(iPr_def_14,X0),additive_identity),
inference(superposition,[status(thm)],[c_274,c_108]) ).
tcf(c_352,plain,
! [X0: $i] : multiply(iPr_def_11,add(X0,b)) = add(multiply(iPr_def_11,X0),additive_identity),
inference(superposition,[status(thm)],[c_275,c_108]) ).
tcf(c_354,plain,
! [X0: $i] : multiply(iPr_def_10,add(X0,a)) = add(multiply(iPr_def_10,X0),additive_identity),
inference(superposition,[status(thm)],[c_276,c_108]) ).
tcf(c_359,plain,
! [X0: $i] : add(X0,X0) = add(X0,additive_identity),
inference(superposition,[status(thm)],[c_104,c_281]) ).
tcf(c_371,plain,
! [X0: $i] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_106,c_282]) ).
tcf(c_373,plain,
! [X0: $i] : add(a,multiply(iPr_def_10,X0)) = add(a,X0),
inference(superposition,[status(thm)],[c_98,c_282]) ).
tcf(c_374,plain,
! [X0: $i] : add(b,multiply(iPr_def_11,X0)) = add(b,X0),
inference(superposition,[status(thm)],[c_99,c_282]) ).
tcf(c_383,plain,
! [X0: $i] : multiply(X0,X0) = multiply(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_105,c_283]) ).
tcf(c_396,plain,
! [X0: $i] : multiply(X0,inverse(X0)) = multiply(X0,additive_identity),
inference(superposition,[status(thm)],[c_107,c_284]) ).
tcf(c_420,plain,
multiply(a,add(multiplicative_identity,b)) = add(a,iPr_def_13),
inference(superposition,[status(thm)],[c_101,c_194]) ).
tcf(c_495,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X1,X0)) = add(X0,multiply(X1,additive_identity)),
inference(superposition,[status(thm)],[c_111,c_278]) ).
tcf(c_524,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X0,X1)) = add(multiply(X1,additive_identity),X0),
inference(superposition,[status(thm)],[c_278,c_111]) ).
tcf(c_574,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X1,X0)) = multiply(X0,add(X1,multiplicative_identity)),
inference(superposition,[status(thm)],[c_110,c_279]) ).
tcf(c_579,plain,
! [X0: $i] : multiply(multiplicative_identity,add(X0,multiplicative_identity)) = add(multiplicative_identity,X0),
inference(superposition,[status(thm)],[c_177,c_279]) ).
tcf(c_597,plain,
multiply(iPr_def_10,add(iPr_def_11,multiplicative_identity)) = multiply(iPr_def_12,add(iPr_def_10,iPr_def_10)),
inference(superposition,[status(thm)],[c_279,c_277]) ).
tcf(c_612,plain,
multiply(a,add(b,b)) = add(iPr_def_13,iPr_def_13),
inference(superposition,[status(thm)],[c_101,c_280]) ).
tcf(c_624,plain,
! [X0: $i] : multiply(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_383,c_106]) ).
tcf(c_625,plain,
! [X0: $i] : add(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_359,c_107]) ).
tcf(c_627,plain,
! [X0: $i] : multiply(X0,additive_identity) = additive_identity,
inference(demodulation,[status(thm)],[c_396,c_104]) ).
tcf(c_632,plain,
! [X0: $i] : add(X0,multiplicative_identity) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_371,c_105]) ).
tcf(c_637,plain,
multiply(a,b) = iPr_def_13,
inference(demodulation,[status(thm)],[c_612,c_625]) ).
tcf(c_643,plain,
! [X0: $i] : add(multiplicative_identity,X0) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_579,c_624,c_632]) ).
tcf(c_657,plain,
multiply(a,multiplicative_identity) = add(a,iPr_def_13),
inference(demodulation,[status(thm)],[c_420,c_643]) ).
tcf(c_658,plain,
add(iPr_def_13,a) = a,
inference(demodulation,[status(thm)],[c_657,c_111,c_106]) ).
tcf(c_687,plain,
multiply(iPr_def_10,multiplicative_identity) = multiply(iPr_def_12,iPr_def_10),
inference(demodulation,[status(thm)],[c_597,c_625,c_632]) ).
tcf(c_688,plain,
multiply(iPr_def_10,iPr_def_12) = iPr_def_10,
inference(demodulation,[status(thm)],[c_687,c_110,c_106]) ).
tcf(c_690,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X1,X0)) = multiply(X0,multiplicative_identity),
inference(demodulation,[status(thm)],[c_574,c_632]) ).
tcf(c_691,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_690,c_106]) ).
tcf(c_697,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X0,X1)) = add(additive_identity,X0),
inference(demodulation,[status(thm)],[c_524,c_627]) ).
tcf(c_698,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_697,c_187]) ).
tcf(c_702,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X1,X0)) = add(X0,additive_identity),
inference(demodulation,[status(thm)],[c_495,c_627]) ).
tcf(c_703,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_702,c_107]) ).
tcf(c_712,plain,
! [X0: $i] : multiply(iPr_def_10,add(X0,a)) = multiply(iPr_def_10,X0),
inference(demodulation,[status(thm)],[c_354,c_107]) ).
tcf(c_714,plain,
! [X0: $i] : multiply(iPr_def_11,add(X0,b)) = multiply(iPr_def_11,X0),
inference(demodulation,[status(thm)],[c_352,c_107]) ).
tcf(c_716,plain,
! [X0: $i] : multiply(iPr_def_14,add(X0,iPr_def_13)) = multiply(iPr_def_14,X0),
inference(demodulation,[status(thm)],[c_350,c_107]) ).
tcf(c_722,plain,
! [X0: $i] : add(iPr_def_14,multiply(X0,iPr_def_13)) = add(iPr_def_14,X0),
inference(demodulation,[status(thm)],[c_344,c_106]) ).
tcf(c_1393,plain,
add(b,iPr_def_13) = b,
inference(superposition,[status(thm)],[c_637,c_691]) ).
tcf(c_1500,plain,
multiply(iPr_def_11,iPr_def_12) = iPr_def_11,
inference(superposition,[status(thm)],[c_100,c_703]) ).
tcf(c_1538,plain,
add(iPr_def_13,b) = b,
inference(demodulation,[status(thm)],[c_1393,c_111]) ).
tcf(c_1890,plain,
add(a,iPr_def_10) = add(a,iPr_def_12),
inference(superposition,[status(thm)],[c_688,c_373]) ).
tcf(c_1934,plain,
add(b,iPr_def_11) = add(b,iPr_def_12),
inference(superposition,[status(thm)],[c_1500,c_374]) ).
tcf(c_1943,plain,
add(iPr_def_12,b) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_1934,c_111,c_272]) ).
tcf(c_1944,plain,
add(iPr_def_12,a) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_1890,c_111,c_273]) ).
tcf(c_2353,plain,
! [X0: $i] : multiply(add(iPr_def_12,X0),multiplicative_identity) = add(iPr_def_12,multiply(X0,b)),
inference(superposition,[status(thm)],[c_1943,c_109]) ).
tcf(c_2588,plain,
! [X0: $i] : add(iPr_def_12,multiply(X0,b)) = add(iPr_def_12,X0),
inference(demodulation,[status(thm)],[c_2353,c_106]) ).
tcf(c_2773,plain,
multiply(iPr_def_10,a) = multiply(iPr_def_10,iPr_def_13),
inference(superposition,[status(thm)],[c_658,c_712]) ).
tcf(c_2823,plain,
multiply(iPr_def_11,b) = multiply(iPr_def_11,iPr_def_13),
inference(superposition,[status(thm)],[c_1538,c_714]) ).
tcf(c_2907,plain,
multiply(iPr_def_11,iPr_def_13) = additive_identity,
inference(demodulation,[status(thm)],[c_2823,c_275]) ).
tcf(c_2908,plain,
multiply(iPr_def_10,iPr_def_13) = additive_identity,
inference(demodulation,[status(thm)],[c_2773,c_276]) ).
tcf(c_3355,plain,
add(iPr_def_14,additive_identity) = add(iPr_def_14,iPr_def_10),
inference(superposition,[status(thm)],[c_2908,c_722]) ).
tcf(c_3356,plain,
add(iPr_def_14,additive_identity) = add(iPr_def_14,iPr_def_11),
inference(superposition,[status(thm)],[c_2907,c_722]) ).
tcf(c_3623,plain,
add(iPr_def_11,iPr_def_14) = iPr_def_14,
inference(demodulation,[status(thm)],[c_3356,c_111,c_107]) ).
tcf(c_3624,plain,
add(iPr_def_10,iPr_def_14) = iPr_def_14,
inference(demodulation,[status(thm)],[c_3355,c_111,c_107]) ).
tcf(c_3894,plain,
multiply(iPr_def_11,iPr_def_14) = iPr_def_11,
inference(superposition,[status(thm)],[c_3623,c_698]) ).
tcf(c_3962,plain,
add(iPr_def_12,a) = add(iPr_def_12,iPr_def_13),
inference(superposition,[status(thm)],[c_637,c_2588]) ).
tcf(c_3984,plain,
add(iPr_def_12,iPr_def_13) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_3962,c_1944]) ).
tcf(c_4142,plain,
multiply(iPr_def_12,add(iPr_def_10,iPr_def_14)) = add(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_3894,c_242]) ).
tcf(c_4158,plain,
multiply(iPr_def_14,multiplicative_identity) = multiply(iPr_def_14,iPr_def_12),
inference(superposition,[status(thm)],[c_3984,c_716]) ).
tcf(c_4318,plain,
multiply(iPr_def_12,iPr_def_14) = iPr_def_14,
inference(demodulation,[status(thm)],[c_4158,c_110,c_106]) ).
tcf(c_4329,plain,
multiply(iPr_def_12,iPr_def_14) = iPr_def_12,
inference(demodulation,[status(thm)],[c_4142,c_100,c_3624]) ).
tcf(c_4593,plain,
iPr_def_12 = iPr_def_14,
inference(superposition,[status(thm)],[c_4329,c_4318]) ).
tcf(c_4783,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4593,c_103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO015-4 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n015.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 06:36:29 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running UEQ theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.44
% 0.10/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.44
% 0.10/0.44 % Detected problem language: tptp
% 0.10/0.45 % Proving...
% 1.38/1.78 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 1.38/1.78 % SZS status Started for theBenchmark.p
% 1.38/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 1.38/1.78
% 1.38/1.78 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.38/1.78
% 1.38/1.78 % ------ iProver source info
% 1.38/1.78
% 1.38/1.78 % git: date: 2026-07-19 20:42:38 +0200
% 1.38/1.78 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.38/1.78 % git: non_committed_changes: false
% 1.38/1.78
% 1.38/1.78 % ------ Parsing...% successful
% 1.38/1.78
% 1.38/1.78
% 1.38/1.78 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.38/1.78
% 1.38/1.78 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.38/1.78
% 1.38/1.78 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.38/1.78
% 1.38/1.78 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.38/1.78 % ------ Proving...
% 1.38/1.78 % ------ Problem Properties
% 1.38/1.78
% 1.38/1.78 %
% 1.38/1.78 % clauses 14
% 1.38/1.78 % conjectures 1
% 1.38/1.78 % EPR 1
% 1.38/1.78 % Horn 14
% 1.38/1.78 % unary 14
% 1.38/1.78 % binary 0
% 1.38/1.78 % lits 14
% 1.38/1.78 % lits eq 14
% 1.38/1.78 % fd_pure 0
% 1.38/1.78 % fd_pseudo 0
% 1.38/1.78 % fd_cond 0
% 1.38/1.78 % fd_pseudo_cond 0
% 1.38/1.78 % AC symbols 0
% 1.38/1.78
% 1.38/1.78 % ------ Input Options Time Limit: Unbounded
% 1.38/1.78
% 1.38/1.78
% 1.38/1.78 % ------
% 1.38/1.78 % Current options:
% 1.38/1.78 % ------
% 1.38/1.78
% 1.38/1.78
% 1.38/1.78 %
% 1.38/1.78
% 1.38/1.78 % ------ Proving...
% 1.38/1.78 %
% 1.38/1.78
% 1.38/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 1.38/1.78
% 1.38/1.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.38/1.78
% 1.38/1.78
%------------------------------------------------------------------------------