%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP121-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 01:30:57 PM UTC 2026
% Result : Unsatisfiable 35.19s 5.80s
% Output : CNFRefutation 39.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 5
% Syntax : Number of formulae : 104 ( 104 unt; 2 def)
% Number of atoms : 717 ( 103 equ)
% Maximal formula atoms : 1 ( 6 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 125 ( 0 sgn 125 !; 0 ?; 122 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
multiply(identity,identity) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom2) ).
fof(f3,plain,
identity = multiply(identity,identity),
inference(reorient_equations,[],[f2]) ).
fof(f4,negated_conjecture,
multiply(a,identity) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_order3) ).
fof(f5,plain,
a != multiply(a,identity),
inference(reorient_equations,[],[f4]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,plain,
multiply(identity,identity) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_54,negated_conjecture,
multiply(a,identity) != a,
inference(cnf_transformation,[],[f5]) ).
tcf(c_65,definition,
iPr_def_10 = multiply(a,identity),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_66,definition,
iPr_def_11 = multiply(identity,identity),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_67,negated_conjecture,
iPr_def_10 != a,
inference(demodulation,[status(thm)],[c_54,c_65]) ).
tcf(c_68,plain,
iPr_def_11 = identity,
inference(demodulation,[status(thm)],[c_53,c_66]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2)))) = X1,
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_100,plain,
multiply(a,iPr_def_11) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_65,c_68]) ).
tcf(c_102,plain,
multiply(iPr_def_11,iPr_def_11) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_66,c_68]) ).
tcf(c_115,plain,
! [X0: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),iPr_def_10)),multiply(iPr_def_11,multiply(iPr_def_11,iPr_def_11)))) = a,
inference(superposition,[status(thm)],[c_100,c_69]) ).
tcf(c_116,plain,
! [X0: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),iPr_def_11)),iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_102,c_69]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,iPr_def_11))),iPr_def_11)) = X1,
inference(superposition,[status(thm)],[c_102,c_69]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X2,X2)),multiply(multiply(X2,multiply(X2,X2)),multiply(X2,multiply(X2,X2)))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,X2))),
inference(superposition,[status(thm)],[c_69,c_69]) ).
tcf(c_120,plain,
! [X0: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),iPr_def_10)),iPr_def_11)) = a,
inference(demodulation,[status(thm)],[c_115,c_102]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),iPr_def_11)),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),iPr_def_11)),iPr_def_11),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),iPr_def_11)),iPr_def_11),multiply(multiply(X1,multiply(multiply(X1,X1),iPr_def_11)),iPr_def_11))))) = X1,
inference(superposition,[status(thm)],[c_116,c_69]) ).
tcf(c_131,plain,
! [X0: $i] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),iPr_def_11)) = multiply(X0,multiply(multiply(X0,iPr_def_11),multiply(iPr_def_11,multiply(iPr_def_11,iPr_def_11)))),
inference(superposition,[status(thm)],[c_116,c_69]) ).
tcf(c_132,plain,
! [X0: $i] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),iPr_def_11)) = multiply(X0,multiply(multiply(X0,iPr_def_11),iPr_def_11)),
inference(demodulation,[status(thm)],[c_131,c_102]) ).
tcf(c_134,plain,
multiply(iPr_def_11,multiply(multiply(iPr_def_11,multiply(iPr_def_11,iPr_def_10)),iPr_def_11)) = a,
inference(superposition,[status(thm)],[c_102,c_120]) ).
tcf(c_136,plain,
! [X0: $i] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),iPr_def_10)) = multiply(X0,multiply(multiply(X0,a),multiply(iPr_def_11,multiply(iPr_def_11,iPr_def_11)))),
inference(superposition,[status(thm)],[c_120,c_69]) ).
tcf(c_137,plain,
! [X0: $i] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),iPr_def_10)) = multiply(X0,multiply(multiply(X0,a),iPr_def_11)),
inference(demodulation,[status(thm)],[c_136,c_102]) ).
tcf(c_167,plain,
! [X0: $i] : multiply(iPr_def_11,multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(X0,iPr_def_11))),iPr_def_11)) = X0,
inference(superposition,[status(thm)],[c_102,c_117]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,iPr_def_11))) = multiply(X0,multiply(multiply(X0,X1),iPr_def_11)),
inference(superposition,[status(thm)],[c_117,c_117]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),X1)),multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(X1,iPr_def_11))),iPr_def_11),multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(X1,iPr_def_11))),iPr_def_11),multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(X1,iPr_def_11))),iPr_def_11))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_167,c_69]) ).
tcf(c_185,plain,
! [X0: $i] : multiply(iPr_def_11,multiply(multiply(iPr_def_11,X0),iPr_def_11)) = multiply(iPr_def_11,multiply(iPr_def_11,multiply(X0,iPr_def_11))),
inference(superposition,[status(thm)],[c_167,c_167]) ).
tcf(c_188,plain,
multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(iPr_def_11,iPr_def_10),iPr_def_11))) = a,
inference(demodulation,[status(thm)],[c_134,c_185]) ).
tcf(c_189,plain,
! [X0: $i] : multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(iPr_def_11,multiply(X0,iPr_def_11)),iPr_def_11))) = X0,
inference(demodulation,[status(thm)],[c_167,c_185]) ).
tcf(c_190,plain,
! [X0: $i] : multiply(iPr_def_11,multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X0,iPr_def_11),iPr_def_11)))) = X0,
inference(demodulation,[status(thm)],[c_189,c_185]) ).
tcf(c_191,plain,
multiply(iPr_def_11,multiply(iPr_def_11,multiply(iPr_def_11,multiply(iPr_def_10,iPr_def_11)))) = a,
inference(demodulation,[status(thm)],[c_188,c_185]) ).
tcf(c_306,plain,
! [X0: $i] : multiply(iPr_def_11,multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(X0,iPr_def_11))),iPr_def_11)) = multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(multiply(iPr_def_11,X0),iPr_def_11),iPr_def_11))),
inference(superposition,[status(thm)],[c_185,c_185]) ).
tcf(c_313,plain,
! [X0: $i] : multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(multiply(iPr_def_11,X0),iPr_def_11),iPr_def_11))) = multiply(iPr_def_11,multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X0,iPr_def_11),iPr_def_11)))),
inference(demodulation,[status(thm)],[c_306,c_185]) ).
tcf(c_314,plain,
! [X0: $i] : multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(multiply(iPr_def_11,X0),iPr_def_11),iPr_def_11))) = X0,
inference(demodulation,[status(thm)],[c_313,c_190]) ).
tcf(c_366,plain,
! [X0: $i,X1: $i] : multiply(multiply(iPr_def_11,multiply(multiply(iPr_def_11,iPr_def_11),multiply(X0,X1))),multiply(X1,multiply(X1,X1))) = multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X0,iPr_def_11),iPr_def_11))),
inference(superposition,[status(thm)],[c_69,c_314]) ).
tcf(c_370,plain,
! [X0: $i] : multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(X0,iPr_def_11))),iPr_def_11),iPr_def_11))) = multiply(multiply(iPr_def_11,X0),iPr_def_11),
inference(superposition,[status(thm)],[c_185,c_314]) ).
tcf(c_374,plain,
! [X0: $i] : multiply(iPr_def_11,multiply(multiply(multiply(iPr_def_11,X0),iPr_def_11),iPr_def_11)) = multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X0,iPr_def_11),iPr_def_11))),
inference(superposition,[status(thm)],[c_314,c_314]) ).
tcf(c_378,plain,
! [X0: $i] : multiply(multiply(iPr_def_11,X0),iPr_def_11) = multiply(iPr_def_11,multiply(X0,iPr_def_11)),
inference(demodulation,[status(thm)],[c_370,c_314]) ).
tcf(c_380,plain,
! [X0: $i,X1: $i] : multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(X0,X1))),multiply(X1,multiply(X1,X1))) = multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X0,iPr_def_11),iPr_def_11))),
inference(demodulation,[status(thm)],[c_366,c_102]) ).
tcf(c_422,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),multiply(iPr_def_11,multiply(X1,iPr_def_11)))),iPr_def_11)) = multiply(iPr_def_11,X1),
inference(superposition,[status(thm)],[c_378,c_117]) ).
tcf(c_442,plain,
! [X0: $i] : multiply(iPr_def_11,multiply(multiply(iPr_def_11,multiply(X0,iPr_def_11)),iPr_def_11)) = multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X0,iPr_def_11),iPr_def_11))),
inference(light_normalisation,[status(thm)],[c_374,c_378]) ).
tcf(c_459,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),X1)),iPr_def_11)) = multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(iPr_def_11,iPr_def_11),multiply(X1,iPr_def_11)))),
inference(superposition,[status(thm)],[c_117,c_422]) ).
tcf(c_474,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X0),X1)),iPr_def_11)) = multiply(iPr_def_11,multiply(iPr_def_11,multiply(iPr_def_11,multiply(X1,iPr_def_11)))),
inference(demodulation,[status(thm)],[c_459,c_102]) ).
tcf(c_568,plain,
! [X0: $i] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,iPr_def_11),iPr_def_11)),iPr_def_11)) = multiply(iPr_def_11,multiply(iPr_def_11,multiply(iPr_def_11,multiply(iPr_def_11,iPr_def_11)))),
inference(superposition,[status(thm)],[c_132,c_474]) ).
tcf(c_583,plain,
! [X0: $i] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,iPr_def_11),iPr_def_11)),iPr_def_11)) = iPr_def_11,
inference(demodulation,[status(thm)],[c_568,c_102]) ).
tcf(c_632,plain,
multiply(multiply(a,a),multiply(multiply(a,multiply(iPr_def_10,iPr_def_11)),iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_100,c_583]) ).
tcf(c_717,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),iPr_def_11)),multiply(iPr_def_11,multiply(iPr_def_11,iPr_def_11)))) = X1,
inference(superposition,[status(thm)],[c_172,c_69]) ).
tcf(c_720,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,X1),iPr_def_11)),iPr_def_11)) = X1,
inference(demodulation,[status(thm)],[c_717,c_102]) ).
tcf(c_743,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,multiply(multiply(X0,X0),multiply(X1,X2))),multiply(X2,multiply(X2,X2))) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(X1,iPr_def_11)),iPr_def_11)),
inference(superposition,[status(thm)],[c_69,c_720]) ).
tcf(c_753,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(iPr_def_11,multiply(X1,iPr_def_11)))),iPr_def_11)),iPr_def_11)) = multiply(multiply(X0,multiply(multiply(X0,X0),X1)),iPr_def_11),
inference(superposition,[status(thm)],[c_474,c_720]) ).
tcf(c_765,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(multiply(X0,X0),X1)),iPr_def_11) = multiply(multiply(X0,X0),multiply(multiply(X0,X1),iPr_def_11)),
inference(demodulation,[status(thm)],[c_753,c_190,c_378,c_442]) ).
tcf(c_770,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,X0),multiply(multiply(X0,X1),iPr_def_11))) = multiply(iPr_def_11,multiply(iPr_def_11,multiply(iPr_def_11,multiply(X1,iPr_def_11)))),
inference(demodulation,[status(thm)],[c_474,c_765]) ).
tcf(c_1099,plain,
! [X0: $i] : multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(multiply(multiply(X0,X0),iPr_def_11),iPr_def_11)) = multiply(multiply(X0,multiply(multiply(X0,iPr_def_11),iPr_def_11)),iPr_def_11),
inference(superposition,[status(thm)],[c_132,c_765]) ).
tcf(c_1367,plain,
! [X0: $i] : multiply(X0,multiply(multiply(multiply(X0,iPr_def_11),iPr_def_11),multiply(multiply(multiply(X0,iPr_def_11),iPr_def_11),multiply(multiply(X0,iPr_def_11),iPr_def_11)))) = multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(iPr_def_11,iPr_def_11),iPr_def_11))),
inference(superposition,[status(thm)],[c_190,c_380]) ).
tcf(c_1399,plain,
! [X0: $i,X1: $i] : multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X0,iPr_def_11),iPr_def_11))))),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))) = multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(X0,X1))),iPr_def_11),iPr_def_11))),
inference(superposition,[status(thm)],[c_380,c_380]) ).
tcf(c_1403,plain,
! [X0: $i] : multiply(X0,multiply(multiply(multiply(X0,iPr_def_11),iPr_def_11),multiply(multiply(multiply(X0,iPr_def_11),iPr_def_11),multiply(multiply(X0,iPr_def_11),iPr_def_11)))) = iPr_def_11,
inference(demodulation,[status(thm)],[c_1367,c_102,c_378]) ).
tcf(c_1411,plain,
! [X0: $i,X1: $i] : multiply(multiply(iPr_def_11,X0),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))) = multiply(iPr_def_11,multiply(X0,X1)),
inference(demodulation,[status(thm)],[c_1399,c_190,c_378,c_442]) ).
tcf(c_1516,plain,
! [X0: $i] : multiply(multiply(multiply(X0,iPr_def_11),iPr_def_11),multiply(multiply(multiply(X0,iPr_def_11),iPr_def_11),multiply(multiply(X0,iPr_def_11),iPr_def_11))) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(iPr_def_11,iPr_def_11)),iPr_def_11)),
inference(superposition,[status(thm)],[c_1403,c_720]) ).
tcf(c_1521,plain,
! [X0: $i] : multiply(multiply(multiply(X0,iPr_def_11),iPr_def_11),multiply(multiply(multiply(X0,iPr_def_11),iPr_def_11),multiply(multiply(X0,iPr_def_11),iPr_def_11))) = multiply(multiply(X0,X0),multiply(multiply(X0,iPr_def_11),iPr_def_11)),
inference(demodulation,[status(thm)],[c_1516,c_102]) ).
tcf(c_3377,plain,
! [X0: $i] : multiply(iPr_def_11,multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0))))) = multiply(iPr_def_11,multiply(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_102,c_1411]) ).
tcf(c_3379,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))) = multiply(iPr_def_11,multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X0,iPr_def_11),iPr_def_11))),X1)),
inference(superposition,[status(thm)],[c_190,c_1411]) ).
tcf(c_3400,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_11,multiply(multiply(iPr_def_11,multiply(X0,multiply(X1,multiply(X1,X1)))),X1)) = multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X0,iPr_def_11),iPr_def_11))),
inference(superposition,[status(thm)],[c_1411,c_380]) ).
tcf(c_3482,plain,
! [X0: $i,X1: $i] : multiply(multiply(iPr_def_11,iPr_def_11),multiply(multiply(iPr_def_11,multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X0,iPr_def_11),iPr_def_11))),iPr_def_11)),iPr_def_11)) = multiply(multiply(iPr_def_11,multiply(X0,multiply(X1,multiply(X1,X1)))),X1),
inference(superposition,[status(thm)],[c_3400,c_720]) ).
tcf(c_3498,plain,
! [X0: $i,X1: $i] : multiply(multiply(iPr_def_11,multiply(X0,multiply(X1,multiply(X1,X1)))),X1) = multiply(iPr_def_11,multiply(multiply(X0,iPr_def_11),iPr_def_11)),
inference(demodulation,[status(thm)],[c_3482,c_720]) ).
tcf(c_3916,plain,
! [X0: $i] : multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))) = multiply(multiply(iPr_def_11,iPr_def_11),multiply(multiply(iPr_def_11,multiply(multiply(iPr_def_11,multiply(iPr_def_11,X0)),iPr_def_11)),iPr_def_11)),
inference(superposition,[status(thm)],[c_3377,c_720]) ).
tcf(c_3926,plain,
! [X0: $i] : multiply(multiply(X0,multiply(X0,X0)),multiply(multiply(X0,multiply(X0,X0)),multiply(X0,multiply(X0,X0)))) = multiply(iPr_def_11,X0),
inference(demodulation,[status(thm)],[c_3916,c_720]) ).
tcf(c_4065,plain,
! [X0: $i,X1: $i] : multiply(multiply(iPr_def_11,multiply(X0,multiply(iPr_def_11,X1))),multiply(X1,multiply(X1,X1))) = multiply(iPr_def_11,multiply(multiply(X0,iPr_def_11),iPr_def_11)),
inference(superposition,[status(thm)],[c_3926,c_3498]) ).
tcf(c_4067,plain,
! [X0: $i] : multiply(multiply(iPr_def_11,X0),multiply(multiply(iPr_def_11,X0),multiply(iPr_def_11,X0))) = multiply(iPr_def_11,multiply(X0,multiply(X0,X0))),
inference(superposition,[status(thm)],[c_3926,c_3926]) ).
tcf(c_4123,plain,
! [X0: $i] : multiply(iPr_def_11,multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X0,iPr_def_11),iPr_def_11))),multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X0,iPr_def_11),iPr_def_11))),multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X0,iPr_def_11),iPr_def_11)))))) = multiply(X0,multiply(X0,X0)),
inference(superposition,[status(thm)],[c_190,c_4067]) ).
tcf(c_4161,plain,
! [X0: $i] : multiply(iPr_def_11,multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(multiply(X0,iPr_def_11),iPr_def_11),multiply(multiply(multiply(X0,iPr_def_11),iPr_def_11),multiply(multiply(X0,iPr_def_11),iPr_def_11)))))) = multiply(X0,multiply(X0,X0)),
inference(demodulation,[status(thm)],[c_4123,c_4067]) ).
tcf(c_4162,plain,
! [X0: $i] : multiply(iPr_def_11,multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X0,X0),multiply(multiply(X0,iPr_def_11),iPr_def_11))))) = multiply(X0,multiply(X0,X0)),
inference(demodulation,[status(thm)],[c_4161,c_1521]) ).
tcf(c_4519,plain,
! [X0: $i,X1: $i] : multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X0,iPr_def_11),iPr_def_11)))),multiply(multiply(X1,multiply(X1,X1)),multiply(multiply(X1,multiply(X1,X1)),multiply(X1,multiply(X1,X1))))) = multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(multiply(iPr_def_11,multiply(X0,multiply(iPr_def_11,X1))),iPr_def_11),iPr_def_11))),
inference(superposition,[status(thm)],[c_4065,c_380]) ).
tcf(c_4533,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_11,multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X0,iPr_def_11),iPr_def_11))),X1)) = multiply(X0,multiply(iPr_def_11,X1)),
inference(demodulation,[status(thm)],[c_4519,c_190,c_378,c_442,c_3379]) ).
tcf(c_4670,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_11,multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(iPr_def_11,multiply(X0,iPr_def_11)),iPr_def_11))),X1)) = multiply(multiply(iPr_def_11,X0),multiply(iPr_def_11,X1)),
inference(superposition,[status(thm)],[c_378,c_4533]) ).
tcf(c_4701,plain,
! [X0: $i,X1: $i] : multiply(multiply(iPr_def_11,X0),multiply(iPr_def_11,X1)) = multiply(iPr_def_11,multiply(X0,X1)),
inference(demodulation,[status(thm)],[c_4670,c_190,c_442]) ).
tcf(c_6079,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,X2))) = multiply(X0,multiply(multiply(X0,X1),multiply(iPr_def_11,X2))),
inference(superposition,[status(thm)],[c_3926,c_119]) ).
tcf(c_6130,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(multiply(X0,iPr_def_11),multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))))),multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))))),multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))))))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_190,c_119]) ).
tcf(c_6162,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X0,iPr_def_11),multiply(multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),X2),multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),X2),multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),X2))),multiply(multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),X2),multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),X2),multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),X2))),multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),X2),multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),X2),multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),X2))))))) = multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),multiply(X1,multiply(iPr_def_11,X2)))),
inference(superposition,[status(thm)],[c_4533,c_119]) ).
tcf(c_6386,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),X1)) = multiply(X0,multiply(multiply(X0,iPr_def_11),X1)),
inference(demodulation,[status(thm)],[c_6130,c_190,c_3379,c_4533]) ).
tcf(c_6418,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X0,iPr_def_11),multiply(multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),X2),multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),X2),multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),X2))),multiply(multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),X2),multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),X2),multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),X2))),multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),X2),multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),X2),multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(X1,iPr_def_11),iPr_def_11))),X2))))))) = multiply(X0,multiply(multiply(X0,X1),multiply(iPr_def_11,multiply(iPr_def_11,X2)))),
inference(demodulation,[status(thm)],[c_6162,c_6079]) ).
tcf(c_6419,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X0,X1),multiply(iPr_def_11,multiply(iPr_def_11,X2)))) = multiply(X0,multiply(multiply(X0,iPr_def_11),multiply(X1,multiply(iPr_def_11,X2)))),
inference(demodulation,[status(thm)],[c_6418,c_3379,c_4533]) ).
tcf(c_6477,plain,
! [X0: $i] : multiply(X0,multiply(multiply(X0,a),iPr_def_11)) = multiply(X0,multiply(multiply(X0,iPr_def_11),iPr_def_10)),
inference(demodulation,[status(thm)],[c_137,c_6386]) ).
tcf(c_6975,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X1),multiply(multiply(multiply(multiply(X1,multiply(multiply(X1,X1),iPr_def_11)),iPr_def_11),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),iPr_def_11)),iPr_def_11),multiply(multiply(X1,multiply(multiply(X1,X1),iPr_def_11)),iPr_def_11))),multiply(multiply(multiply(multiply(X1,multiply(multiply(X1,X1),iPr_def_11)),iPr_def_11),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),iPr_def_11)),iPr_def_11),multiply(multiply(X1,multiply(multiply(X1,X1),iPr_def_11)),iPr_def_11))),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),iPr_def_11)),iPr_def_11),multiply(multiply(multiply(X1,multiply(multiply(X1,X1),iPr_def_11)),iPr_def_11),multiply(multiply(X1,multiply(multiply(X1,X1),iPr_def_11)),iPr_def_11)))))) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(multiply(X0,X0),multiply(multiply(multiply(X0,X0),multiply(X0,X0)),iPr_def_11)),iPr_def_11)),iPr_def_11)),
inference(superposition,[status(thm)],[c_130,c_743]) ).
tcf(c_7002,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X1),multiply(iPr_def_11,multiply(multiply(X1,X1),multiply(multiply(X1,iPr_def_11),iPr_def_11)))) = multiply(multiply(X0,iPr_def_11),iPr_def_11),
inference(demodulation,[status(thm)],[c_6975,c_720,c_765,c_1099,c_3379,c_4533]) ).
tcf(c_10352,plain,
! [X0: $i,X1: $i] : multiply(multiply(iPr_def_11,X0),multiply(multiply(multiply(iPr_def_11,X0),multiply(multiply(iPr_def_11,multiply(X0,X0)),X1)),multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(X1,iPr_def_11))),iPr_def_11),multiply(multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(X1,iPr_def_11))),iPr_def_11),multiply(multiply(iPr_def_11,multiply(iPr_def_11,multiply(X1,iPr_def_11))),iPr_def_11))))) = iPr_def_11,
inference(superposition,[status(thm)],[c_4701,c_184]) ).
tcf(c_10426,plain,
! [X0: $i] : multiply(iPr_def_11,multiply(X0,multiply(multiply(X0,iPr_def_11),multiply(multiply(multiply(X0,X0),iPr_def_11),iPr_def_11)))) = iPr_def_11,
inference(demodulation,[status(thm)],[c_10352,c_378,c_442,c_1521,c_4701,c_6419,c_7002]) ).
tcf(c_10669,plain,
! [X0: $i] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(multiply(X0,multiply(multiply(X0,iPr_def_11),iPr_def_10)),iPr_def_11)),iPr_def_11)) = multiply(multiply(X0,a),iPr_def_11),
inference(superposition,[status(thm)],[c_6477,c_720]) ).
tcf(c_10695,plain,
! [X0: $i] : multiply(multiply(X0,a),iPr_def_11) = multiply(multiply(X0,iPr_def_11),iPr_def_10),
inference(demodulation,[status(thm)],[c_10669,c_720]) ).
tcf(c_11594,plain,
multiply(iPr_def_11,multiply(a,multiply(iPr_def_10,multiply(multiply(multiply(a,a),iPr_def_11),iPr_def_11)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_100,c_10426]) ).
tcf(c_11630,plain,
multiply(iPr_def_11,multiply(a,multiply(iPr_def_10,multiply(multiply(iPr_def_10,iPr_def_10),iPr_def_11)))) = iPr_def_11,
inference(demodulation,[status(thm)],[c_11594,c_100,c_10695]) ).
tcf(c_11653,plain,
multiply(multiply(iPr_def_11,iPr_def_11),multiply(multiply(iPr_def_11,multiply(iPr_def_11,iPr_def_11)),iPr_def_11)) = multiply(a,multiply(iPr_def_10,multiply(multiply(iPr_def_10,iPr_def_10),iPr_def_11))),
inference(superposition,[status(thm)],[c_11630,c_720]) ).
tcf(c_11661,plain,
multiply(a,multiply(iPr_def_10,multiply(multiply(iPr_def_10,iPr_def_10),iPr_def_11))) = iPr_def_11,
inference(demodulation,[status(thm)],[c_11653,c_102,c_378]) ).
tcf(c_11714,plain,
multiply(iPr_def_11,multiply(iPr_def_11,multiply(iPr_def_11,multiply(multiply(iPr_def_10,multiply(multiply(iPr_def_10,iPr_def_10),iPr_def_11)),iPr_def_11)))) = multiply(a,multiply(multiply(a,a),multiply(iPr_def_11,iPr_def_11))),
inference(superposition,[status(thm)],[c_11661,c_770]) ).
tcf(c_11717,plain,
multiply(a,multiply(iPr_def_10,iPr_def_10)) = multiply(iPr_def_10,multiply(iPr_def_10,iPr_def_10)),
inference(demodulation,[status(thm)],[c_11714,c_100,c_102,c_765,c_4162,c_10695]) ).
tcf(c_11731,plain,
! [X0: $i] : multiply(multiply(X0,multiply(multiply(X0,X0),multiply(iPr_def_10,multiply(iPr_def_10,iPr_def_10)))),multiply(multiply(iPr_def_10,iPr_def_10),multiply(multiply(iPr_def_10,iPr_def_10),multiply(iPr_def_10,iPr_def_10)))) = multiply(multiply(X0,X0),multiply(multiply(X0,multiply(a,iPr_def_11)),iPr_def_11)),
inference(superposition,[status(thm)],[c_11717,c_743]) ).
tcf(c_11739,plain,
! [X0: $i] : multiply(multiply(X0,X0),multiply(multiply(X0,multiply(iPr_def_10,iPr_def_11)),iPr_def_11)) = multiply(multiply(X0,X0),multiply(multiply(X0,iPr_def_10),iPr_def_11)),
inference(demodulation,[status(thm)],[c_11731,c_100,c_743]) ).
tcf(c_11741,plain,
multiply(multiply(a,a),multiply(multiply(a,iPr_def_10),iPr_def_11)) = iPr_def_11,
inference(demodulation,[status(thm)],[c_632,c_11739]) ).
tcf(c_11797,plain,
multiply(iPr_def_11,multiply(iPr_def_11,multiply(iPr_def_11,multiply(iPr_def_10,iPr_def_11)))) = multiply(a,iPr_def_11),
inference(superposition,[status(thm)],[c_11741,c_770]) ).
tcf(c_11798,plain,
a = iPr_def_10,
inference(demodulation,[status(thm)],[c_11797,c_100,c_191]) ).
tcf(c_11843,plain,
iPr_def_10 != iPr_def_10,
inference(demodulation,[status(thm)],[c_67,c_11798]) ).
tcf(c_11844,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_11843]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP121-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 13:36:34 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running UEQ theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 35.19/5.80 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 35.19/5.80 % SZS status Started for theBenchmark.p
% 35.19/5.80 % SZS status Unsatisfiable for theBenchmark.p
% 35.19/5.80
% 35.19/5.80 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 35.19/5.80
% 35.19/5.80 % ------ iProver source info
% 35.19/5.80
% 35.19/5.80 % git: date: 2026-07-19 20:42:38 +0200
% 35.19/5.80 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 35.19/5.80 % git: non_committed_changes: false
% 35.19/5.80
% 35.19/5.80 % ------ Parsing...% successful
% 35.19/5.80
% 35.19/5.80
% 35.19/5.80 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 35.19/5.80
% 35.19/5.80 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 35.19/5.80
% 35.19/5.80 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 35.19/5.80
% 35.19/5.80 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 35.19/5.80 % ------ Proving...
% 35.19/5.80 % ------ Problem Properties
% 35.19/5.80
% 35.19/5.80 %
% 35.19/5.80 % clauses 5
% 35.19/5.80 % conjectures 1
% 35.19/5.80 % EPR 2
% 35.19/5.80 % Horn 5
% 35.19/5.80 % unary 5
% 35.19/5.80 % binary 0
% 35.19/5.80 % lits 5
% 35.19/5.80 % lits eq 5
% 35.19/5.80 % fd_pure 0
% 35.19/5.80 % fd_pseudo 0
% 35.19/5.80 % fd_cond 0
% 35.19/5.80 % fd_pseudo_cond 0
% 35.19/5.80 % AC symbols 0
% 35.19/5.80
% 35.19/5.80 % ------ Input Options Time Limit: Unbounded
% 35.19/5.80
% 35.19/5.80
% 35.19/5.80 % ------
% 35.19/5.80 % Current options:
% 35.19/5.80 % ------
% 35.19/5.80
% 35.19/5.80
% 35.19/5.80 %
% 35.19/5.80
% 35.19/5.80 % ------ Proving...
% 35.19/5.80 %
% 35.19/5.80
% 35.19/5.80 % SZS status Unsatisfiable for theBenchmark.p
% 35.19/5.80
% 35.19/5.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 39.54/5.80
% 39.54/5.80
%------------------------------------------------------------------------------