%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : BOO014-4 : 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 : n003.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 6.23s 1.72s
% Output : CNFRefutation 6.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of formulae : 125 ( 125 unt; 5 def)
% Number of atoms : 237 ( 124 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 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 : 129 ( 0 sgn 129 !; 0 ?; 113 :)
% 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(add(a,b)) != multiply(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,
multiply(inverse(a),inverse(b)) != inverse(add(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 = multiply(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_101,definition,
iPr_def_13 = add(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_173,plain,
multiply(iPr_def_13,iPr_def_14) = additive_identity,
inference(superposition,[status(thm)],[c_102,c_104]) ).
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_181,plain,
! [X0: $i] : add(additive_identity,X0) = X0,
inference(superposition,[status(thm)],[c_107,c_111]) ).
tcf(c_190,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_194,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_195,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_196,plain,
! [X0: $i] : add(multiply(iPr_def_10,X0),iPr_def_12) = multiply(iPr_def_10,add(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_100,c_108]) ).
tcf(c_234,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_235,plain,
! [X0: $i] : add(a,multiply(X0,b)) = multiply(add(a,X0),iPr_def_13),
inference(superposition,[status(thm)],[c_101,c_109]) ).
tcf(c_239,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_240,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_263,plain,
add(iPr_def_14,iPr_def_13) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_176,c_111]) ).
tcf(c_264,plain,
add(iPr_def_11,b) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_175,c_111]) ).
tcf(c_266,plain,
multiply(iPr_def_14,iPr_def_13) = additive_identity,
inference(demodulation,[status(thm)],[c_173,c_110]) ).
tcf(c_269,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X0,X1)) = add(X0,multiply(X1,additive_identity)),
inference(demodulation,[status(thm)],[c_239,c_110]) ).
tcf(c_270,plain,
! [X0: $i] : add(a,multiply(X0,b)) = multiply(iPr_def_13,add(a,X0)),
inference(demodulation,[status(thm)],[c_235,c_110]) ).
tcf(c_271,plain,
! [X0: $i] : add(iPr_def_12,multiply(iPr_def_10,X0)) = multiply(iPr_def_10,add(X0,iPr_def_11)),
inference(demodulation,[status(thm)],[c_196,c_111]) ).
tcf(c_272,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X0,X1)) = multiply(X0,add(X1,multiplicative_identity)),
inference(demodulation,[status(thm)],[c_194,c_111]) ).
tcf(c_273,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X1,inverse(X0))) = add(X0,X1),
inference(demodulation,[status(thm)],[c_240,c_106]) ).
tcf(c_274,plain,
! [X0: $i,X1: $i] : add(X0,multiply(inverse(X0),X1)) = add(X0,X1),
inference(demodulation,[status(thm)],[c_234,c_177]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X1,inverse(X0))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_195,c_107]) ).
tcf(c_276,plain,
! [X0: $i,X1: $i] : multiply(X0,add(inverse(X0),X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_190,c_181]) ).
tcf(c_334,plain,
! [X0: $i] : add(iPr_def_14,multiply(X0,iPr_def_13)) = multiply(add(iPr_def_14,X0),multiplicative_identity),
inference(superposition,[status(thm)],[c_263,c_109]) ).
tcf(c_336,plain,
! [X0: $i] : add(iPr_def_11,multiply(X0,b)) = multiply(add(iPr_def_11,X0),multiplicative_identity),
inference(superposition,[status(thm)],[c_264,c_109]) ).
tcf(c_339,plain,
! [X0: $i] : add(additive_identity,multiply(iPr_def_14,X0)) = multiply(iPr_def_14,add(iPr_def_13,X0)),
inference(superposition,[status(thm)],[c_266,c_108]) ).
tcf(c_361,plain,
! [X0: $i] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_106,c_274]) ).
tcf(c_362,plain,
! [X0: $i] : add(X0,inverse(inverse(X0))) = add(X0,additive_identity),
inference(superposition,[status(thm)],[c_104,c_274]) ).
tcf(c_373,plain,
! [X0: $i] : multiply(X0,X0) = multiply(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_105,c_275]) ).
tcf(c_386,plain,
! [X0: $i] : multiply(X0,inverse(X0)) = multiply(X0,additive_identity),
inference(superposition,[status(thm)],[c_107,c_276]) ).
tcf(c_387,plain,
! [X0: $i] : multiply(X0,inverse(inverse(X0))) = multiply(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_105,c_276]) ).
tcf(c_477,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X1,X0)) = add(X0,multiply(X1,additive_identity)),
inference(superposition,[status(thm)],[c_111,c_269]) ).
tcf(c_485,plain,
! [X0: $i,X1: $i] : add(X0,multiply(multiply(X1,inverse(X0)),additive_identity)) = multiply(X0,add(X0,X1)),
inference(superposition,[status(thm)],[c_273,c_269]) ).
tcf(c_496,plain,
! [X0: $i,X1: $i] : add(X0,add(inverse(X0),multiply(X1,additive_identity))) = add(X0,add(inverse(X0),X1)),
inference(superposition,[status(thm)],[c_269,c_274]) ).
tcf(c_499,plain,
add(a,multiply(b,b)) = multiply(iPr_def_13,iPr_def_13),
inference(superposition,[status(thm)],[c_101,c_270]) ).
tcf(c_535,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X1,X0)) = multiply(X0,add(X1,multiplicative_identity)),
inference(superposition,[status(thm)],[c_110,c_272]) ).
tcf(c_563,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(inverse(X0),add(X1,multiplicative_identity))) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[status(thm)],[c_272,c_276]) ).
tcf(c_578,plain,
! [X0: $i] : multiply(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_373,c_106]) ).
tcf(c_581,plain,
! [X0: $i] : multiply(X0,additive_identity) = additive_identity,
inference(demodulation,[status(thm)],[c_386,c_104]) ).
tcf(c_586,plain,
! [X0: $i] : add(X0,multiplicative_identity) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_361,c_105]) ).
tcf(c_595,plain,
add(a,b) = iPr_def_13,
inference(demodulation,[status(thm)],[c_499,c_578]) ).
tcf(c_614,plain,
! [X0: $i] : multiply(X0,inverse(inverse(X0))) = X0,
inference(demodulation,[status(thm)],[c_387,c_106]) ).
tcf(c_615,plain,
! [X0: $i] : add(X0,inverse(inverse(X0))) = X0,
inference(demodulation,[status(thm)],[c_362,c_107]) ).
tcf(c_651,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X1,X0)) = multiply(X0,multiplicative_identity),
inference(demodulation,[status(thm)],[c_535,c_586]) ).
tcf(c_652,plain,
! [X0: $i,X1: $i] : add(X0,multiply(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_651,c_106]) ).
tcf(c_658,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X1,X0)) = add(X0,additive_identity),
inference(demodulation,[status(thm)],[c_477,c_581]) ).
tcf(c_659,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_658,c_107]) ).
tcf(c_669,plain,
! [X0: $i] : multiply(iPr_def_14,add(iPr_def_13,X0)) = multiply(iPr_def_14,X0),
inference(demodulation,[status(thm)],[c_339,c_181]) ).
tcf(c_672,plain,
! [X0: $i] : add(iPr_def_11,multiply(X0,b)) = add(iPr_def_11,X0),
inference(demodulation,[status(thm)],[c_336,c_106]) ).
tcf(c_674,plain,
! [X0: $i] : add(iPr_def_14,multiply(X0,iPr_def_13)) = add(iPr_def_14,X0),
inference(demodulation,[status(thm)],[c_334,c_106]) ).
tcf(c_682,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X0,X1)) = add(X0,additive_identity),
inference(demodulation,[status(thm)],[c_485,c_581]) ).
tcf(c_683,plain,
! [X0: $i,X1: $i] : multiply(X0,add(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_682,c_107]) ).
tcf(c_701,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(inverse(X0),X1)) = multiply(X0,multiply(inverse(X0),multiplicative_identity)),
inference(demodulation,[status(thm)],[c_563,c_586]) ).
tcf(c_702,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(inverse(X0),X1)) = additive_identity,
inference(demodulation,[status(thm)],[c_701,c_106,c_104]) ).
tcf(c_713,plain,
! [X0: $i,X1: $i] : add(X0,add(inverse(X0),X1)) = add(X0,add(inverse(X0),additive_identity)),
inference(demodulation,[status(thm)],[c_496,c_581]) ).
tcf(c_714,plain,
! [X0: $i,X1: $i] : add(X0,add(inverse(X0),X1)) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_713,c_107,c_105]) ).
tcf(c_1423,plain,
add(iPr_def_11,iPr_def_12) = iPr_def_11,
inference(superposition,[status(thm)],[c_100,c_652]) ).
tcf(c_1477,plain,
multiply(b,iPr_def_13) = b,
inference(superposition,[status(thm)],[c_595,c_659]) ).
tcf(c_1496,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_615,c_659]) ).
tcf(c_1519,plain,
multiply(iPr_def_13,b) = b,
inference(demodulation,[status(thm)],[c_1477,c_110]) ).
tcf(c_1520,plain,
add(iPr_def_12,iPr_def_11) = iPr_def_11,
inference(demodulation,[status(thm)],[c_1423,c_111]) ).
tcf(c_1525,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_1496,c_110,c_614]) ).
tcf(c_1744,plain,
inverse(iPr_def_10) = a,
inference(superposition,[status(thm)],[c_98,c_1525]) ).
tcf(c_1746,plain,
inverse(iPr_def_14) = iPr_def_13,
inference(superposition,[status(thm)],[c_102,c_1525]) ).
tcf(c_1866,plain,
multiply(iPr_def_12,iPr_def_11) = iPr_def_12,
inference(superposition,[status(thm)],[c_1520,c_683]) ).
tcf(c_2030,plain,
! [X0: $i] : multiply(a,multiply(iPr_def_10,X0)) = additive_identity,
inference(superposition,[status(thm)],[c_98,c_702]) ).
tcf(c_2031,plain,
! [X0: $i] : multiply(b,multiply(iPr_def_11,X0)) = additive_identity,
inference(superposition,[status(thm)],[c_99,c_702]) ).
tcf(c_2318,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(iPr_def_13,X0)) = additive_identity,
inference(superposition,[status(thm)],[c_1746,c_702]) ).
tcf(c_2344,plain,
multiply(a,iPr_def_12) = additive_identity,
inference(superposition,[status(thm)],[c_100,c_2030]) ).
tcf(c_2365,plain,
! [X0: $i] : multiply(b,multiply(X0,iPr_def_11)) = additive_identity,
inference(superposition,[status(thm)],[c_110,c_2031]) ).
tcf(c_2515,plain,
! [X0: $i] : add(iPr_def_10,add(a,X0)) = multiplicative_identity,
inference(superposition,[status(thm)],[c_1744,c_714]) ).
tcf(c_2568,plain,
multiply(iPr_def_12,a) = additive_identity,
inference(demodulation,[status(thm)],[c_2344,c_110]) ).
tcf(c_2700,plain,
multiply(b,iPr_def_12) = additive_identity,
inference(superposition,[status(thm)],[c_1866,c_2365]) ).
tcf(c_2807,plain,
multiply(iPr_def_14,b) = additive_identity,
inference(superposition,[status(thm)],[c_1519,c_2318]) ).
tcf(c_2887,plain,
add(iPr_def_10,iPr_def_13) = multiplicative_identity,
inference(superposition,[status(thm)],[c_595,c_2515]) ).
tcf(c_2942,plain,
add(iPr_def_13,iPr_def_10) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_2887,c_111]) ).
tcf(c_2943,plain,
multiply(iPr_def_12,b) = additive_identity,
inference(demodulation,[status(thm)],[c_2700,c_110]) ).
tcf(c_3099,plain,
! [X0: $i] : add(multiply(iPr_def_12,X0),additive_identity) = multiply(iPr_def_12,add(X0,b)),
inference(superposition,[status(thm)],[c_2943,c_108]) ).
tcf(c_3262,plain,
! [X0: $i] : multiply(iPr_def_12,add(X0,b)) = multiply(iPr_def_12,X0),
inference(demodulation,[status(thm)],[c_3099,c_107]) ).
tcf(c_4451,plain,
multiply(iPr_def_14,multiplicative_identity) = multiply(iPr_def_14,iPr_def_10),
inference(superposition,[status(thm)],[c_2942,c_669]) ).
tcf(c_4531,plain,
add(iPr_def_11,additive_identity) = add(iPr_def_11,iPr_def_14),
inference(superposition,[status(thm)],[c_2807,c_672]) ).
tcf(c_4691,plain,
add(iPr_def_14,iPr_def_11) = iPr_def_11,
inference(demodulation,[status(thm)],[c_4531,c_111,c_107]) ).
tcf(c_4694,plain,
multiply(iPr_def_14,iPr_def_10) = iPr_def_14,
inference(demodulation,[status(thm)],[c_4451,c_106]) ).
tcf(c_4949,plain,
add(iPr_def_12,multiply(iPr_def_10,iPr_def_14)) = multiply(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_4691,c_271]) ).
tcf(c_5089,plain,
add(iPr_def_14,iPr_def_12) = iPr_def_12,
inference(demodulation,[status(thm)],[c_4949,c_111,c_110,c_100,c_4694]) ).
tcf(c_6936,plain,
multiply(iPr_def_12,a) = multiply(iPr_def_12,iPr_def_13),
inference(superposition,[status(thm)],[c_595,c_3262]) ).
tcf(c_6961,plain,
multiply(iPr_def_12,iPr_def_13) = additive_identity,
inference(demodulation,[status(thm)],[c_6936,c_2568]) ).
tcf(c_7333,plain,
add(iPr_def_14,additive_identity) = add(iPr_def_14,iPr_def_12),
inference(superposition,[status(thm)],[c_6961,c_674]) ).
tcf(c_7545,plain,
iPr_def_12 = iPr_def_14,
inference(demodulation,[status(thm)],[c_7333,c_107,c_5089]) ).
tcf(c_7546,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7545,c_103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO014-4 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Fri Sep 25 06:34:22 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.40 Running UEQ theorem proving
% 0.08/0.40 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 6.23/1.72 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 6.23/1.72 % SZS status Started for theBenchmark.p
% 6.23/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 6.23/1.72
% 6.23/1.72 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.23/1.72
% 6.23/1.72 % ------ iProver source info
% 6.23/1.72
% 6.23/1.72 % git: date: 2026-07-19 20:42:38 +0200
% 6.23/1.72 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.23/1.72 % git: non_committed_changes: false
% 6.23/1.72
% 6.23/1.72 % ------ Parsing...% successful
% 6.23/1.72
% 6.23/1.72
% 6.23/1.72 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.23/1.72
% 6.23/1.72 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 6.23/1.72
% 6.23/1.72 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.23/1.72
% 6.23/1.72 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 6.23/1.72 % ------ Proving...
% 6.23/1.72 % ------ Problem Properties
% 6.23/1.72
% 6.23/1.72 %
% 6.23/1.72 % clauses 14
% 6.23/1.72 % conjectures 1
% 6.23/1.72 % EPR 1
% 6.23/1.72 % Horn 14
% 6.23/1.72 % unary 14
% 6.23/1.72 % binary 0
% 6.23/1.72 % lits 14
% 6.23/1.72 % lits eq 14
% 6.23/1.72 % fd_pure 0
% 6.23/1.72 % fd_pseudo 0
% 6.23/1.72 % fd_cond 0
% 6.23/1.72 % fd_pseudo_cond 0
% 6.23/1.72 % AC symbols 0
% 6.23/1.72
% 6.23/1.72 % ------ Input Options Time Limit: Unbounded
% 6.23/1.72
% 6.23/1.72
% 6.23/1.72 % ------
% 6.23/1.72 % Current options:
% 6.23/1.72 % ------
% 6.23/1.72
% 6.23/1.72
% 6.23/1.72 %
% 6.23/1.72
% 6.23/1.72 % ------ Proving...
% 6.23/1.72 %
% 6.23/1.72
% 6.23/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 6.23/1.72
% 6.23/1.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.23/1.72
% 6.23/1.72
%------------------------------------------------------------------------------