%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP435-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.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 01:34:05 PM UTC 2026
% Result : Unsatisfiable 6.40s 1.64s
% Output : CNFRefutation 6.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 2
% Syntax : Number of formulae : 95 ( 95 unt; 0 def)
% Number of atoms : 288 ( 94 equ)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 164 ( 0 sgn 164 !; 0 ?; 160 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(X3,inverse(X3)))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(X3,inverse(X3)))) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_52,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X3,inverse(X3)))) = multiply(X4,inverse(X4)),
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_62,plain,
! [X0: $i] : multiply(X0,inverse(X0)) = iPr_def_10,
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_60]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X3,inverse(X3)))) = iPr_def_10,
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_60]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),iPr_def_10)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_63,c_62]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),iPr_def_10)) = X2,
inference(demodulation,[status(thm)],[c_51,c_62]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] : inverse(multiply(multiply(multiply(inverse(iPr_def_10),X0),X1),iPr_def_10)) = inverse(multiply(X0,X1)),
inference(superposition,[status(thm)],[c_62,c_66]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] : inverse(multiply(multiply(multiply(inverse(multiply(iPr_def_10,X0)),X1),inverse(X1)),iPr_def_10)) = X0,
inference(superposition,[status(thm)],[c_62,c_66]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] : inverse(multiply(multiply(multiply(inverse(multiply(X0,X1)),multiply(inverse(iPr_def_10),X0)),X1),iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_62,c_64]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] : inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(iPr_def_10,X0)),X1)),inverse(X1)),iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_62,c_64]) ).
tcf(c_127,plain,
! [X0: $i] : inverse(multiply(multiply(iPr_def_10,X0),iPr_def_10)) = inverse(multiply(inverse(inverse(iPr_def_10)),X0)),
inference(superposition,[status(thm)],[c_62,c_80]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] : inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),inverse(iPr_def_10))),X0),X1)) = iPr_def_10,
inference(superposition,[status(thm)],[c_80,c_64]) ).
tcf(c_174,plain,
! [X0: $i] : inverse(multiply(multiply(iPr_def_10,inverse(inverse(inverse(multiply(iPr_def_10,X0))))),iPr_def_10)) = X0,
inference(superposition,[status(thm)],[c_62,c_81]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(multiply(multiply(inverse(multiply(iPr_def_10,X0)),multiply(multiply(multiply(inverse(iPr_def_10),X1),X2),iPr_def_10)),inverse(multiply(X1,X2))),iPr_def_10)) = X0,
inference(superposition,[status(thm)],[c_80,c_81]) ).
tcf(c_213,plain,
inverse(multiply(inverse(iPr_def_10),iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_86,c_81]) ).
tcf(c_215,plain,
! [X0: $i] : inverse(multiply(multiply(multiply(X0,iPr_def_10),inverse(inverse(inverse(multiply(iPr_def_10,X0))))),iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_62,c_87]) ).
tcf(c_230,plain,
! [X0: $i] : inverse(multiply(multiply(inverse(multiply(iPr_def_10,inverse(iPr_def_10))),X0),inverse(X0))) = iPr_def_10,
inference(superposition,[status(thm)],[c_87,c_80]) ).
tcf(c_431,plain,
! [X0: $i] : inverse(multiply(multiply(inverse(iPr_def_10),X0),inverse(X0))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_230,c_62]) ).
tcf(c_955,plain,
multiply(multiply(inverse(iPr_def_10),iPr_def_10),iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_213,c_62]) ).
tcf(c_959,plain,
inverse(multiply(iPr_def_10,inverse(inverse(inverse(iPr_def_10))))) = iPr_def_10,
inference(superposition,[status(thm)],[c_62,c_431]) ).
tcf(c_971,plain,
! [X0: $i] : inverse(multiply(multiply(multiply(iPr_def_10,inverse(iPr_def_10)),X0),iPr_def_10)) = inverse(X0),
inference(superposition,[status(thm)],[c_431,c_66]) ).
tcf(c_1010,plain,
! [X0: $i] : multiply(multiply(inverse(inverse(iPr_def_10)),X0),inverse(multiply(multiply(iPr_def_10,X0),iPr_def_10))) = iPr_def_10,
inference(superposition,[status(thm)],[c_127,c_62]) ).
tcf(c_1030,plain,
inverse(multiply(multiply(iPr_def_10,inverse(iPr_def_10)),iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_431,c_131]) ).
tcf(c_1231,plain,
inverse(multiply(inverse(inverse(iPr_def_10)),inverse(iPr_def_10))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1030,c_127]) ).
tcf(c_1233,plain,
! [X0: $i] : inverse(multiply(multiply(iPr_def_10,X0),iPr_def_10)) = inverse(X0),
inference(demodulation,[status(thm)],[c_971,c_62]) ).
tcf(c_1238,plain,
! [X0: $i] : multiply(multiply(inverse(inverse(iPr_def_10)),X0),inverse(X0)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1010,c_1233]) ).
tcf(c_1277,plain,
! [X0: $i] : inverse(multiply(inverse(inverse(iPr_def_10)),X0)) = inverse(X0),
inference(demodulation,[status(thm)],[c_127,c_1233]) ).
tcf(c_1278,plain,
! [X0: $i] : inverse(inverse(inverse(inverse(multiply(iPr_def_10,X0))))) = X0,
inference(demodulation,[status(thm)],[c_174,c_1233]) ).
tcf(c_2241,plain,
inverse(multiply(multiply(iPr_def_10,inverse(inverse(inverse(multiply(iPr_def_10,multiply(inverse(iPr_def_10),iPr_def_10)))))),iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_955,c_215]) ).
tcf(c_2287,plain,
inverse(inverse(iPr_def_10)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1231,c_1277]) ).
tcf(c_2292,plain,
multiply(inverse(iPr_def_10),iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2241,c_1233,c_1278]) ).
tcf(c_2297,plain,
! [X0: $i] : inverse(multiply(iPr_def_10,X0)) = inverse(X0),
inference(demodulation,[status(thm)],[c_1277,c_2287]) ).
tcf(c_2298,plain,
inverse(multiply(iPr_def_10,inverse(iPr_def_10))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_959,c_2287]) ).
tcf(c_2299,plain,
inverse(iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2298,c_62]) ).
tcf(c_2304,plain,
! [X0: $i] : inverse(multiply(multiply(iPr_def_10,X0),inverse(X0))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_431,c_2299]) ).
tcf(c_2313,plain,
! [X0: $i,X1: $i] : inverse(multiply(multiply(multiply(X0,multiply(inverse(X0),X1)),inverse(X1)),iPr_def_10)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_87,c_2297]) ).
tcf(c_2364,plain,
multiply(iPr_def_10,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_2299,c_2292]) ).
tcf(c_2366,plain,
! [X0: $i] : inverse(multiply(multiply(multiply(inverse(multiply(iPr_def_10,X0)),inverse(iPr_def_10)),iPr_def_10),iPr_def_10)) = X0,
inference(superposition,[status(thm)],[c_2292,c_66]) ).
tcf(c_2380,plain,
! [X0: $i] : inverse(multiply(multiply(multiply(inverse(X0),inverse(iPr_def_10)),iPr_def_10),iPr_def_10)) = X0,
inference(demodulation,[status(thm)],[c_2366,c_2297]) ).
tcf(c_2381,plain,
! [X0: $i] : inverse(multiply(multiply(multiply(inverse(X0),iPr_def_10),iPr_def_10),iPr_def_10)) = X0,
inference(light_normalisation,[status(thm)],[c_2380,c_2299]) ).
tcf(c_2432,plain,
! [X0: $i] : inverse(multiply(multiply(multiply(iPr_def_10,iPr_def_10),X0),iPr_def_10)) = inverse(X0),
inference(superposition,[status(thm)],[c_2304,c_66]) ).
tcf(c_2461,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(inverse(iPr_def_10)),multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),iPr_def_10)),iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_64,c_1238]) ).
tcf(c_2498,plain,
! [X0: $i,X1: $i] : inverse(multiply(multiply(multiply(inverse(multiply(iPr_def_10,X0)),multiply(multiply(iPr_def_10,X1),iPr_def_10)),inverse(multiply(iPr_def_10,X1))),iPr_def_10)) = X0,
inference(superposition,[status(thm)],[c_2292,c_178]) ).
tcf(c_2628,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),iPr_def_10) = inverse(multiply(multiply(multiply(X2,iPr_def_10),iPr_def_10),iPr_def_10)),
inference(superposition,[status(thm)],[c_66,c_2381]) ).
tcf(c_2630,plain,
! [X0: $i] : inverse(multiply(multiply(multiply(inverse(X0),iPr_def_10),iPr_def_10),iPr_def_10)) = multiply(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_2297,c_2381]) ).
tcf(c_2633,plain,
! [X0: $i] : inverse(multiply(multiply(multiply(inverse(X0),iPr_def_10),iPr_def_10),iPr_def_10)) = multiply(multiply(iPr_def_10,X0),iPr_def_10),
inference(superposition,[status(thm)],[c_1233,c_2381]) ).
tcf(c_2654,plain,
! [X0: $i] : multiply(multiply(iPr_def_10,iPr_def_10),X0) = X0,
inference(superposition,[status(thm)],[c_2381,c_66]) ).
tcf(c_2655,plain,
! [X0: $i,X1: $i] : inverse(multiply(multiply(multiply(inverse(multiply(iPr_def_10,X0)),multiply(multiply(multiply(inverse(iPr_def_10),multiply(multiply(inverse(X1),iPr_def_10),iPr_def_10)),iPr_def_10),iPr_def_10)),X1),iPr_def_10)) = X0,
inference(superposition,[status(thm)],[c_2381,c_178]) ).
tcf(c_2668,plain,
! [X0: $i] : multiply(iPr_def_10,X0) = X0,
inference(light_normalisation,[status(thm)],[c_2654,c_2364]) ).
tcf(c_2699,plain,
! [X0: $i] : inverse(multiply(X0,iPr_def_10)) = inverse(X0),
inference(demodulation,[status(thm)],[c_2432,c_2668]) ).
tcf(c_2713,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_2630,c_2668,c_2699]) ).
tcf(c_2758,plain,
! [X0: $i] : multiply(X0,iPr_def_10) = X0,
inference(demodulation,[status(thm)],[c_2633,c_2668,c_2699,c_2713]) ).
tcf(c_2800,plain,
! [X0: $i,X1: $i] : inverse(multiply(multiply(inverse(X0),X1),inverse(X1))) = X0,
inference(demodulation,[status(thm)],[c_2498,c_2668,c_2699,c_2758]) ).
tcf(c_2802,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1) = inverse(X2),
inference(demodulation,[status(thm)],[c_2628,c_2699,c_2758]) ).
tcf(c_2825,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2461,c_2668,c_2713,c_2758]) ).
tcf(c_2832,plain,
! [X0: $i,X1: $i] : inverse(multiply(multiply(inverse(X0),multiply(inverse(iPr_def_10),inverse(X1))),X1)) = X0,
inference(demodulation,[status(thm)],[c_2655,c_2668,c_2699,c_2758]) ).
tcf(c_2833,plain,
! [X0: $i,X1: $i] : inverse(multiply(multiply(inverse(X0),multiply(iPr_def_10,inverse(X1))),X1)) = X0,
inference(light_normalisation,[status(thm)],[c_2832,c_2299]) ).
tcf(c_2962,plain,
! [X0: $i,X1: $i] : multiply(multiply(inverse(X0),X1),inverse(X1)) = inverse(X0),
inference(superposition,[status(thm)],[c_2800,c_2713]) ).
tcf(c_2985,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(X0),multiply(iPr_def_10,inverse(X1))),X1) = inverse(multiply(multiply(X0,multiply(iPr_def_10,inverse(X2))),X2)),
inference(superposition,[status(thm)],[c_2833,c_2833]) ).
tcf(c_3036,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(multiply(X0,iPr_def_10),X1)),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_2802,c_2758]) ).
tcf(c_3183,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(multiply(inverse(X0),multiply(iPr_def_10,iPr_def_10)),multiply(multiply(multiply(X1,multiply(inverse(X1),X2)),inverse(X2)),iPr_def_10))) = X0,
inference(superposition,[status(thm)],[c_2313,c_2833]) ).
tcf(c_3207,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(inverse(multiply(iPr_def_10,X0)),X1)),inverse(X1)) = iPr_def_10,
inference(superposition,[status(thm)],[c_62,c_2825]) ).
tcf(c_3216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(inverse(multiply(iPr_def_10,X0)),multiply(X1,multiply(inverse(multiply(multiply(X2,X3),X1)),X2))),X3) = inverse(X0),
inference(superposition,[status(thm)],[c_2825,c_2802]) ).
tcf(c_3217,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(iPr_def_10),X0),multiply(inverse(multiply(multiply(X1,X2),X0)),X1)) = inverse(X2),
inference(superposition,[status(thm)],[c_2825,c_2802]) ).
tcf(c_3239,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(demodulation,[status(thm)],[c_3036,c_2758]) ).
tcf(c_3286,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(inverse(X0),X1)),inverse(X1)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_3207,c_2668]) ).
tcf(c_3346,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)) = inverse(X2),
inference(light_normalisation,[status(thm)],[c_3217,c_2299,c_2668]) ).
tcf(c_3403,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(X0),inverse(X1)),X1) = inverse(multiply(multiply(X0,inverse(X2)),X2)),
inference(demodulation,[status(thm)],[c_2985,c_2668]) ).
tcf(c_3404,plain,
! [X0: $i,X1: $i] : multiply(multiply(inverse(X0),inverse(X1)),X1) = iPr_def_11(X0),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_3403]) ).
tcf(c_3405,plain,
! [X0: $i,X1: $i] : inverse(multiply(multiply(X0,inverse(X1)),X1)) = iPr_def_11(X0),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_3403]) ).
tcf(c_3406,plain,
! [X0: $i] : iPr_def_11(multiply(iPr_def_10,X0)) = inverse(X0),
inference(demodulation,[status(thm)],[c_3216,c_3346,c_3404]) ).
tcf(c_3407,plain,
! [X0: $i] : inverse(X0) = iPr_def_11(X0),
inference(demodulation,[status(thm)],[c_3406,c_2668]) ).
tcf(c_3423,plain,
! [X0: $i] : iPr_def_11(multiply(multiply(iPr_def_11(X0),multiply(iPr_def_10,iPr_def_10)),multiply(iPr_def_10,iPr_def_10))) = X0,
inference(demodulation,[status(thm)],[c_3183,c_3286,c_3407]) ).
tcf(c_3424,plain,
! [X0: $i] : iPr_def_11(iPr_def_11(X0)) = X0,
inference(demodulation,[status(thm)],[c_3423,c_2668,c_2758]) ).
tcf(c_3575,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1) = iPr_def_11(X2),
inference(demodulation,[status(thm)],[c_2802,c_3407]) ).
tcf(c_3585,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(iPr_def_11(multiply(multiply(X0,X1),X2)),X0),X1) = iPr_def_11(X2),
inference(demodulation,[status(thm)],[c_3575,c_3407]) ).
tcf(c_3701,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),multiply(inverse(X0),X1)) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_2962,c_3239]) ).
tcf(c_3723,plain,
! [X0: $i,X1: $i] : iPr_def_11(inverse(multiply(inverse(X0),X1))) = inverse(multiply(inverse(X1),X0)),
inference(superposition,[status(thm)],[c_3239,c_3405]) ).
tcf(c_3986,plain,
! [X0: $i,X1: $i] : iPr_def_11(multiply(iPr_def_11(X0),X1)) = multiply(iPr_def_11(X1),X0),
inference(demodulation,[status(thm)],[c_3723,c_3407,c_3424]) ).
tcf(c_3990,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(iPr_def_11(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_3701,c_3407,c_3424]) ).
tcf(c_5066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(inverse(multiply(inverse(X1),X0)),X2)) = inverse(multiply(inverse(multiply(multiply(X3,X1),X2)),X3)),
inference(superposition,[status(thm)],[c_3346,c_3346]) ).
tcf(c_5097,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_11(multiply(iPr_def_11(multiply(X0,X1)),X2)) = multiply(multiply(iPr_def_11(X2),X0),X1),
inference(superposition,[status(thm)],[c_3990,c_3585]) ).
tcf(c_5312,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(iPr_def_11(X0),X1),X2) = multiply(iPr_def_11(X0),multiply(X1,X2)),
inference(demodulation,[status(thm)],[c_5097,c_3986]) ).
tcf(c_5422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(iPr_def_11(X0),multiply(multiply(X0,X1),X2)) = multiply(X3,multiply(multiply(iPr_def_11(X3),X1),X2)),
inference(demodulation,[status(thm)],[c_5066,c_3407,c_3986]) ).
tcf(c_5424,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(iPr_def_11(X0),X1),X2)) = iPr_def_12(X1,X2),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5422]) ).
tcf(c_5425,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(iPr_def_11(X0),multiply(X1,X2))) = iPr_def_12(X1,X2),
inference(demodulation,[status(thm)],[c_5424,c_5312]) ).
tcf(c_5426,plain,
! [X0: $i,X1: $i] : multiply(X0,X1) = iPr_def_12(X0,X1),
inference(demodulation,[status(thm)],[c_5425,c_3990]) ).
tcf(c_5567,plain,
multiply(iPr_def_12(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[c_52,c_5426]) ).
tcf(c_5607,plain,
iPr_def_12(iPr_def_12(a3,b3),c3) != iPr_def_12(a3,iPr_def_12(b3,c3)),
inference(demodulation,[status(thm)],[c_5567,c_5426]) ).
tcf(c_6220,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_3424,c_5312]) ).
tcf(c_6364,plain,
! [X0: $i,X1: $i,X2: $i] : iPr_def_12(iPr_def_12(X0,X1),X2) = iPr_def_12(X0,iPr_def_12(X1,X2)),
inference(demodulation,[status(thm)],[c_6220,c_5426]) ).
tcf(c_6533,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_5607,c_6364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP435-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n020.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 14:46:04 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...
% 6.40/1.64 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 6.40/1.64 % SZS status Started for theBenchmark.p
% 6.40/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 6.40/1.64
% 6.40/1.64 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.40/1.64
% 6.40/1.64 % ------ iProver source info
% 6.40/1.64
% 6.40/1.64 % git: date: 2026-07-19 20:42:38 +0200
% 6.40/1.64 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.40/1.64 % git: non_committed_changes: false
% 6.40/1.64
% 6.40/1.64 % ------ Parsing...% successful
% 6.40/1.64
% 6.40/1.64
% 6.40/1.64 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 6.40/1.64 % ------ Proving...
% 6.40/1.64 % ------ Problem Properties
% 6.40/1.64
% 6.40/1.64 %
% 6.40/1.64 % clauses 2
% 6.40/1.64 % conjectures 1
% 6.40/1.64 % EPR 0
% 6.40/1.64 % Horn 2
% 6.40/1.64 % unary 2
% 6.40/1.64 % binary 0
% 6.40/1.64 % lits 2
% 6.40/1.64 % lits eq 2
% 6.40/1.64 % fd_pure 0
% 6.40/1.64 % fd_pseudo 0
% 6.40/1.64 % fd_cond 0
% 6.40/1.64 % fd_pseudo_cond 0
% 6.40/1.64 % AC symbols 0
% 6.40/1.64
% 6.40/1.64 % ------ Input Options Time Limit: Unbounded
% 6.40/1.64
% 6.40/1.64
% 6.40/1.64 % ------
% 6.40/1.64 % Current options:
% 6.40/1.64 % ------
% 6.40/1.64
% 6.40/1.64
% 6.40/1.64 %
% 6.40/1.64
% 6.40/1.64 % ------ Proving...
% 6.40/1.64 %
% 6.40/1.64
% 6.40/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 6.40/1.64
% 6.40/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.40/1.64
% 6.40/1.64
%------------------------------------------------------------------------------