%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP654-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 01:35:04 PM UTC 2026
% Result : Unsatisfiable 116.01s 32.75s
% Output : CNFRefutation 116.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 8
% Syntax : Number of formulae : 130 ( 130 unt; 2 def)
% Number of atoms : 358 ( 129 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 157 ( 0 sgn 157 !; 0 ?; 146 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(mult(X0,X1),X0),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,negated_conjecture,
mult(x0,rd(x1,x1)) != x0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f7,plain,
x0 != mult(x0,rd(x1,x1)),
inference(reorient_equations,[],[f6]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X1),X0),X2) = mult(X0,mult(X1,mult(X0,X2))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,negated_conjecture,
mult(x0,rd(x1,x1)) != x0,
inference(cnf_transformation,[],[f7]) ).
tcf(c_83,definition,
iPr_def_10 = rd(x1,x1),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_84,definition,
iPr_def_11 = mult(x0,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_85,negated_conjecture,
iPr_def_11 != x0,
inference(demodulation,[status(thm)],[c_60,c_83,c_84]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X1),X0),X2) = mult(X0,mult(X1,mult(X0,X2))),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_55]) ).
tcf(c_140,plain,
rd(iPr_def_11,iPr_def_10) = x0,
inference(superposition,[status(thm)],[c_84,c_87]) ).
tcf(c_141,plain,
mult(iPr_def_10,x1) = x1,
inference(superposition,[status(thm)],[c_83,c_88]) ).
tcf(c_142,plain,
mult(x0,iPr_def_10) = iPr_def_11,
inference(superposition,[status(thm)],[c_140,c_88]) ).
tcf(c_143,plain,
rd(x1,x1) = iPr_def_10,
inference(superposition,[status(thm)],[c_141,c_87]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_88,c_89]) ).
tcf(c_147,plain,
ld(x0,iPr_def_11) = iPr_def_10,
inference(superposition,[status(thm)],[c_142,c_89]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_90,c_87]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(ld(X0,X1),mult(X0,X2))) = mult(mult(X1,X0),X2),
inference(superposition,[status(thm)],[c_90,c_86]) ).
tcf(c_169,plain,
! [X0: $i] : mult(x0,mult(iPr_def_10,mult(x0,X0))) = mult(mult(iPr_def_11,x0),X0),
inference(superposition,[status(thm)],[c_142,c_86]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(X1,mult(X0,ld(mult(mult(X0,X1),X0),X2)))) = X2,
inference(superposition,[status(thm)],[c_86,c_90]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(X0,mult(X1,mult(X0,X2))),X2) = mult(mult(X0,X1),X0),
inference(superposition,[status(thm)],[c_86,c_87]) ).
tcf(c_187,plain,
! [X0: $i] : mult(mult(iPr_def_11,x0),ld(x0,X0)) = mult(x0,mult(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_90,c_169]) ).
tcf(c_233,plain,
! [X0: $i] : ld(mult(iPr_def_11,x0),mult(x0,mult(iPr_def_10,X0))) = ld(x0,X0),
inference(superposition,[status(thm)],[c_187,c_89]) ).
tcf(c_234,plain,
! [X0: $i] : rd(mult(x0,mult(iPr_def_10,X0)),ld(x0,X0)) = mult(iPr_def_11,x0),
inference(superposition,[status(thm)],[c_187,c_87]) ).
tcf(c_284,plain,
! [X0: $i] : ld(mult(iPr_def_11,x0),mult(x0,X0)) = ld(x0,ld(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_90,c_233]) ).
tcf(c_352,plain,
ld(mult(iPr_def_11,x0),iPr_def_11) = ld(x0,ld(iPr_def_10,iPr_def_10)),
inference(superposition,[status(thm)],[c_142,c_284]) ).
tcf(c_476,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),ld(X1,X2)) = mult(X1,mult(ld(X1,X0),X2)),
inference(superposition,[status(thm)],[c_90,c_166]) ).
tcf(c_479,plain,
! [X0: $i] : mult(x0,mult(ld(x0,X0),iPr_def_11)) = mult(mult(X0,x0),iPr_def_10),
inference(superposition,[status(thm)],[c_142,c_166]) ).
tcf(c_481,plain,
! [X0: $i] : mult(iPr_def_10,mult(ld(iPr_def_10,X0),x1)) = mult(mult(X0,iPr_def_10),x1),
inference(superposition,[status(thm)],[c_141,c_166]) ).
tcf(c_492,plain,
! [X0: $i,X1: $i,X2: $i] : ld(X0,mult(mult(X1,X0),X2)) = mult(ld(X0,X1),mult(X0,X2)),
inference(superposition,[status(thm)],[c_166,c_89]) ).
tcf(c_493,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(mult(X0,X1),X2),mult(ld(X1,X0),mult(X1,X2))) = X1,
inference(superposition,[status(thm)],[c_166,c_87]) ).
tcf(c_558,plain,
! [X0: $i] : ld(x0,mult(mult(X0,x0),iPr_def_10)) = mult(ld(x0,X0),iPr_def_11),
inference(superposition,[status(thm)],[c_479,c_89]) ).
tcf(c_584,plain,
! [X0: $i] : ld(iPr_def_10,mult(mult(X0,iPr_def_10),x1)) = mult(ld(iPr_def_10,X0),x1),
inference(superposition,[status(thm)],[c_481,c_89]) ).
tcf(c_634,plain,
! [X0: $i] : mult(ld(iPr_def_10,rd(X0,iPr_def_10)),x1) = ld(iPr_def_10,mult(X0,x1)),
inference(superposition,[status(thm)],[c_88,c_584]) ).
tcf(c_722,plain,
! [X0: $i] : ld(ld(iPr_def_10,rd(X0,iPr_def_10)),ld(iPr_def_10,mult(X0,x1))) = x1,
inference(superposition,[status(thm)],[c_634,c_89]) ).
tcf(c_723,plain,
! [X0: $i] : rd(ld(iPr_def_10,mult(X0,x1)),x1) = ld(iPr_def_10,rd(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_634,c_87]) ).
tcf(c_787,plain,
ld(ld(iPr_def_10,rd(iPr_def_10,iPr_def_10)),x1) = x1,
inference(superposition,[status(thm)],[c_89,c_722]) ).
tcf(c_805,plain,
ld(iPr_def_10,rd(iPr_def_10,iPr_def_10)) = rd(x1,x1),
inference(superposition,[status(thm)],[c_787,c_153]) ).
tcf(c_806,plain,
ld(iPr_def_10,rd(iPr_def_10,iPr_def_10)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_805,c_143]) ).
tcf(c_809,plain,
! [X0: $i] : mult(mult(rd(iPr_def_10,iPr_def_10),iPr_def_10),X0) = mult(iPr_def_10,mult(iPr_def_10,mult(iPr_def_10,X0))),
inference(superposition,[status(thm)],[c_806,c_166]) ).
tcf(c_820,plain,
! [X0: $i] : mult(iPr_def_10,mult(iPr_def_10,mult(iPr_def_10,X0))) = mult(iPr_def_10,X0),
inference(demodulation,[status(thm)],[c_809,c_88]) ).
tcf(c_842,plain,
! [X0: $i] : mult(iPr_def_10,mult(iPr_def_10,X0)) = X0,
inference(superposition,[status(thm)],[c_90,c_820]) ).
tcf(c_863,plain,
! [X0: $i] : ld(iPr_def_10,X0) = mult(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_842,c_89]) ).
tcf(c_868,plain,
! [X0: $i] : rd(mult(x0,X0),ld(x0,mult(iPr_def_10,X0))) = mult(iPr_def_11,x0),
inference(superposition,[status(thm)],[c_842,c_234]) ).
tcf(c_884,plain,
ld(mult(iPr_def_11,x0),iPr_def_11) = ld(x0,mult(iPr_def_10,iPr_def_10)),
inference(demodulation,[status(thm)],[c_352,c_863]) ).
tcf(c_983,plain,
! [X0: $i] : rd(mult(iPr_def_10,mult(X0,x1)),x1) = ld(iPr_def_10,rd(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_863,c_723]) ).
tcf(c_992,plain,
! [X0: $i] : rd(mult(iPr_def_10,mult(X0,x1)),x1) = mult(iPr_def_10,rd(X0,iPr_def_10)),
inference(demodulation,[status(thm)],[c_983,c_863]) ).
tcf(c_1183,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(X1,ld(mult(mult(X1,X0),X1),X2))) = ld(X1,X2),
inference(superposition,[status(thm)],[c_172,c_89]) ).
tcf(c_1396,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,rd(X1,mult(X0,X2))),X0) = rd(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_88,c_175]) ).
tcf(c_1405,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(X0,mult(X1,X2)),ld(X0,X2)) = mult(mult(X0,X1),X0),
inference(superposition,[status(thm)],[c_90,c_175]) ).
tcf(c_1410,plain,
! [X0: $i] : rd(mult(iPr_def_10,mult(X0,x1)),x1) = mult(mult(iPr_def_10,X0),iPr_def_10),
inference(superposition,[status(thm)],[c_141,c_175]) ).
tcf(c_1433,plain,
! [X0: $i] : mult(mult(iPr_def_10,X0),iPr_def_10) = mult(iPr_def_10,rd(X0,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_1410,c_992]) ).
tcf(c_1645,plain,
! [X0: $i] : mult(iPr_def_10,rd(mult(iPr_def_10,X0),iPr_def_10)) = mult(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_842,c_1433]) ).
tcf(c_1655,plain,
ld(x0,mult(iPr_def_10,rd(x0,iPr_def_10))) = mult(ld(x0,iPr_def_10),iPr_def_11),
inference(superposition,[status(thm)],[c_1433,c_558]) ).
tcf(c_1699,plain,
! [X0: $i] : mult(mult(X0,mult(iPr_def_10,iPr_def_10)),iPr_def_10) = mult(iPr_def_10,mult(mult(iPr_def_10,X0),iPr_def_10)),
inference(superposition,[status(thm)],[c_175,c_1645]) ).
tcf(c_1722,plain,
! [X0: $i] : mult(mult(X0,mult(iPr_def_10,iPr_def_10)),iPr_def_10) = rd(X0,iPr_def_10),
inference(demodulation,[status(thm)],[c_1699,c_842,c_1433]) ).
tcf(c_1832,plain,
! [X0: $i] : rd(rd(X0,mult(iPr_def_10,iPr_def_10)),iPr_def_10) = mult(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_88,c_1722]) ).
tcf(c_1837,plain,
! [X0: $i] : ld(mult(X0,mult(iPr_def_10,iPr_def_10)),rd(X0,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_1722,c_89]) ).
tcf(c_1890,plain,
! [X0: $i] : mult(mult(X0,iPr_def_10),iPr_def_10) = rd(X0,mult(iPr_def_10,iPr_def_10)),
inference(superposition,[status(thm)],[c_1832,c_88]) ).
tcf(c_1910,plain,
ld(mult(iPr_def_11,mult(iPr_def_10,iPr_def_10)),x0) = iPr_def_10,
inference(superposition,[status(thm)],[c_140,c_1837]) ).
tcf(c_1925,plain,
mult(iPr_def_11,mult(iPr_def_10,iPr_def_10)) = rd(x0,iPr_def_10),
inference(superposition,[status(thm)],[c_1910,c_153]) ).
tcf(c_1989,plain,
! [X0: $i] : ld(mult(mult(X0,iPr_def_10),iPr_def_10),X0) = mult(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_1890,c_146]) ).
tcf(c_2391,plain,
! [X0: $i] : mult(mult(iPr_def_11,x0),ld(x0,mult(iPr_def_10,X0))) = mult(x0,X0),
inference(superposition,[status(thm)],[c_868,c_88]) ).
tcf(c_4832,plain,
mult(mult(iPr_def_11,x0),mult(ld(x0,iPr_def_10),iPr_def_11)) = mult(x0,rd(x0,iPr_def_10)),
inference(superposition,[status(thm)],[c_1655,c_2391]) ).
tcf(c_6490,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(ld(X0,rd(X1,X0)),X2)) = mult(X1,ld(X0,X2)),
inference(superposition,[status(thm)],[c_88,c_476]) ).
tcf(c_6494,plain,
! [X0: $i] : mult(x1,mult(ld(x1,iPr_def_10),X0)) = mult(x1,ld(x1,X0)),
inference(superposition,[status(thm)],[c_141,c_476]) ).
tcf(c_6617,plain,
! [X0: $i] : mult(x1,mult(ld(x1,iPr_def_10),X0)) = X0,
inference(demodulation,[status(thm)],[c_6494,c_90]) ).
tcf(c_6711,plain,
! [X0: $i] : ld(ld(x1,iPr_def_10),X0) = mult(x1,X0),
inference(superposition,[status(thm)],[c_90,c_6617]) ).
tcf(c_6716,plain,
! [X0: $i] : mult(ld(x1,iPr_def_10),X0) = ld(x1,X0),
inference(superposition,[status(thm)],[c_6617,c_89]) ).
tcf(c_6771,plain,
ld(ld(x1,iPr_def_10),ld(x1,iPr_def_10)) = mult(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_6716,c_1989]) ).
tcf(c_6784,plain,
mult(iPr_def_10,iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_6771,c_90,c_6711]) ).
tcf(c_6823,plain,
mult(iPr_def_11,iPr_def_10) = rd(x0,iPr_def_10),
inference(demodulation,[status(thm)],[c_1925,c_6784]) ).
tcf(c_6826,plain,
ld(mult(iPr_def_11,x0),iPr_def_11) = ld(x0,iPr_def_10),
inference(demodulation,[status(thm)],[c_884,c_6784]) ).
tcf(c_7636,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(X0,X1),mult(ld(X2,rd(X0,X2)),mult(X2,X1))) = X2,
inference(superposition,[status(thm)],[c_88,c_493]) ).
tcf(c_15394,plain,
! [X0: $i,X1: $i,X2: $i] : rd(ld(X0,X1),mult(X0,ld(mult(mult(X0,X2),X0),X1))) = X2,
inference(superposition,[status(thm)],[c_1183,c_87]) ).
tcf(c_17548,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,rd(X1,X2)),X0) = rd(mult(X0,X1),ld(X0,X2)),
inference(superposition,[status(thm)],[c_90,c_1396]) ).
tcf(c_23290,plain,
mult(mult(iPr_def_11,x0),mult(ld(x0,iPr_def_10),iPr_def_11)) = mult(x0,mult(iPr_def_11,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_4832,c_6823]) ).
tcf(c_23314,plain,
mult(mult(mult(iPr_def_11,x0),ld(x0,iPr_def_10)),mult(iPr_def_11,x0)) = rd(mult(x0,mult(iPr_def_11,iPr_def_10)),ld(mult(iPr_def_11,x0),iPr_def_11)),
inference(superposition,[status(thm)],[c_23290,c_1405]) ).
tcf(c_23315,plain,
mult(mult(x0,iPr_def_11),x0) = mult(iPr_def_11,mult(iPr_def_11,x0)),
inference(demodulation,[status(thm)],[c_23314,c_142,c_147,c_476,c_1405,c_6784,c_6826]) ).
tcf(c_23369,plain,
ld(iPr_def_11,mult(iPr_def_11,mult(iPr_def_11,x0))) = mult(ld(iPr_def_11,x0),mult(iPr_def_11,x0)),
inference(superposition,[status(thm)],[c_23315,c_492]) ).
tcf(c_23381,plain,
mult(ld(iPr_def_11,x0),mult(iPr_def_11,x0)) = mult(iPr_def_11,x0),
inference(demodulation,[status(thm)],[c_23369,c_89]) ).
tcf(c_23611,plain,
! [X0: $i,X1: $i,X2: $i] : ld(X0,mult(X1,ld(X0,X2))) = mult(ld(X0,rd(X1,X0)),X2),
inference(superposition,[status(thm)],[c_6490,c_89]) ).
tcf(c_24809,plain,
rd(mult(iPr_def_11,x0),mult(iPr_def_11,x0)) = ld(iPr_def_11,x0),
inference(superposition,[status(thm)],[c_23381,c_87]) ).
tcf(c_45918,plain,
! [X0: $i,X1: $i] : mult(mult(X0,rd(ld(X0,X1),X1)),X0) = X0,
inference(superposition,[status(thm)],[c_17548,c_87]) ).
tcf(c_52913,plain,
! [X0: $i,X1: $i,X2: $i] : rd(ld(X0,X1),mult(X0,ld(X0,X1))) = rd(ld(X0,X2),X2),
inference(superposition,[status(thm)],[c_45918,c_15394]) ).
tcf(c_52929,plain,
! [X0: $i,X1: $i,X2: $i] : rd(ld(X0,X1),X1) = rd(ld(X0,X2),X2),
inference(demodulation,[status(thm)],[c_52913,c_90]) ).
tcf(c_52930,plain,
! [X0: $i,X1: $i] : rd(ld(X0,X1),X1) = iPr_def_12(X0),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_52929]) ).
tcf(c_54333,plain,
! [X0: $i,X1: $i] : rd(X0,mult(X1,X0)) = iPr_def_12(X1),
inference(superposition,[status(thm)],[c_89,c_52930]) ).
tcf(c_54335,plain,
! [X0: $i,X1: $i] : iPr_def_12(rd(X0,X1)) = rd(X1,X0),
inference(superposition,[status(thm)],[c_146,c_52930]) ).
tcf(c_54398,plain,
! [X0: $i,X1: $i] : mult(iPr_def_12(X0),X1) = ld(X0,X1),
inference(superposition,[status(thm)],[c_52930,c_88]) ).
tcf(c_55874,plain,
! [X0: $i,X1: $i] : ld(iPr_def_12(X0),X1) = mult(X0,X1),
inference(superposition,[status(thm)],[c_54333,c_146]) ).
tcf(c_55879,plain,
! [X0: $i,X1: $i] : mult(mult(X0,iPr_def_12(X0)),X0) = rd(mult(X0,X1),X1),
inference(superposition,[status(thm)],[c_54333,c_1396]) ).
tcf(c_55880,plain,
! [X0: $i] : iPr_def_12(ld(X0,rd(X0,X0))) = X0,
inference(superposition,[status(thm)],[c_54333,c_7636]) ).
tcf(c_55882,plain,
! [X0: $i] : mult(mult(X0,iPr_def_12(X0)),X0) = X0,
inference(demodulation,[status(thm)],[c_55879,c_87]) ).
tcf(c_56117,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = iPr_def_12(iPr_def_12(X0)),
inference(superposition,[status(thm)],[c_54333,c_54335]) ).
tcf(c_56118,plain,
! [X0: $i] : iPr_def_12(iPr_def_12(X0)) = X0,
inference(demodulation,[status(thm)],[c_56117,c_87]) ).
tcf(c_56363,plain,
! [X0: $i,X1: $i,X2: $i] : rd(ld(X0,mult(X1,mult(iPr_def_12(X0),X2))),X2) = mult(mult(iPr_def_12(X0),X1),iPr_def_12(X0)),
inference(superposition,[status(thm)],[c_54398,c_175]) ).
tcf(c_56433,plain,
! [X0: $i,X1: $i,X2: $i] : rd(ld(X0,mult(X1,ld(X0,X2))),X2) = mult(ld(X0,X1),iPr_def_12(X0)),
inference(demodulation,[status(thm)],[c_56363,c_54398]) ).
tcf(c_56434,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(ld(X0,rd(X1,X0)),X2),X2) = mult(ld(X0,X1),iPr_def_12(X0)),
inference(light_normalisation,[status(thm)],[c_56433,c_23611]) ).
tcf(c_56435,plain,
! [X0: $i,X1: $i] : mult(ld(X0,X1),iPr_def_12(X0)) = ld(X0,rd(X1,X0)),
inference(demodulation,[status(thm)],[c_56434,c_87]) ).
tcf(c_57505,plain,
! [X0: $i] : ld(X0,rd(X0,X0)) = iPr_def_12(X0),
inference(superposition,[status(thm)],[c_55880,c_56118]) ).
tcf(c_57555,plain,
! [X0: $i] : mult(ld(iPr_def_12(X0),X0),mult(iPr_def_12(X0),X0)) = ld(iPr_def_12(X0),X0),
inference(superposition,[status(thm)],[c_55882,c_492]) ).
tcf(c_57603,plain,
! [X0: $i] : mult(X0,mult(ld(X0,X0),X0)) = mult(X0,X0),
inference(demodulation,[status(thm)],[c_57555,c_476,c_54398,c_55874]) ).
tcf(c_65990,plain,
! [X0: $i] : ld(X0,mult(X0,X0)) = mult(ld(X0,X0),X0),
inference(superposition,[status(thm)],[c_57603,c_89]) ).
tcf(c_66069,plain,
! [X0: $i] : mult(ld(X0,X0),X0) = X0,
inference(demodulation,[status(thm)],[c_65990,c_89]) ).
tcf(c_66178,plain,
! [X0: $i] : ld(X0,X0) = rd(X0,X0),
inference(superposition,[status(thm)],[c_66069,c_87]) ).
tcf(c_66292,plain,
! [X0: $i] : rd(X0,rd(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_66178,c_153]) ).
tcf(c_66569,plain,
rd(mult(iPr_def_11,x0),ld(iPr_def_11,x0)) = mult(iPr_def_11,x0),
inference(superposition,[status(thm)],[c_24809,c_66292]) ).
tcf(c_66588,plain,
mult(mult(iPr_def_11,rd(x0,x0)),iPr_def_11) = mult(iPr_def_11,x0),
inference(demodulation,[status(thm)],[c_66569,c_17548]) ).
tcf(c_69105,plain,
mult(iPr_def_11,rd(x0,x0)) = rd(mult(iPr_def_11,x0),iPr_def_11),
inference(superposition,[status(thm)],[c_66588,c_87]) ).
tcf(c_77680,plain,
! [X0: $i,X1: $i] : ld(X0,rd(mult(X0,X1),X0)) = mult(X1,iPr_def_12(X0)),
inference(superposition,[status(thm)],[c_89,c_56435]) ).
tcf(c_85720,plain,
ld(iPr_def_11,mult(iPr_def_11,rd(x0,x0))) = mult(x0,iPr_def_12(iPr_def_11)),
inference(superposition,[status(thm)],[c_69105,c_77680]) ).
tcf(c_85942,plain,
mult(x0,iPr_def_12(iPr_def_11)) = rd(x0,x0),
inference(demodulation,[status(thm)],[c_85720,c_89]) ).
tcf(c_86066,plain,
ld(x0,rd(x0,x0)) = iPr_def_12(iPr_def_11),
inference(superposition,[status(thm)],[c_85942,c_89]) ).
tcf(c_86095,plain,
iPr_def_12(x0) = iPr_def_12(iPr_def_11),
inference(demodulation,[status(thm)],[c_86066,c_57505]) ).
tcf(c_86241,plain,
iPr_def_12(iPr_def_12(iPr_def_11)) = x0,
inference(superposition,[status(thm)],[c_86095,c_56118]) ).
tcf(c_86243,plain,
x0 = iPr_def_11,
inference(demodulation,[status(thm)],[c_86241,c_56118]) ).
tcf(c_86422,plain,
iPr_def_11 != iPr_def_11,
inference(demodulation,[status(thm)],[c_85,c_86243]) ).
tcf(c_86423,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_86422]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP654-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/5.44 % Computer : n008.cluster.edu
% 0.18/5.44 % Model : x86_64 x86_64
% 0.18/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.44 % Memory : 8046.5625MB
% 0.18/5.44 % OS : Linux 6.8.0-71-generic
% 0.18/5.44 % CPULimit : 300
% 0.18/5.44 % WCLimit : 300
% 0.18/5.44 % DateTime : Wed Sep 23 15:30:44 UTC 2026
% 0.18/5.44 % CPUTime :
% 0.18/5.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/5.50 Running UEQ theorem proving
% 0.22/5.50 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
% 0.22/5.51
% 0.22/5.51 % ======== iProver multi-core TPTP/SMT =========
% 0.22/5.51
% 0.22/5.51 % Detected problem language: tptp
% 0.22/5.53 % Proving...
% 116.01/32.75 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 116.01/32.75 % SZS status Started for theBenchmark.p
% 116.01/32.75 % SZS status Unsatisfiable for theBenchmark.p
% 116.01/32.75
% 116.01/32.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 116.01/32.75
% 116.01/32.75 % ------ iProver source info
% 116.01/32.75
% 116.01/32.75 % git: date: 2026-07-19 20:42:38 +0200
% 116.01/32.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 116.01/32.75 % git: non_committed_changes: false
% 116.01/32.75
% 116.01/32.75 % ------ Parsing...% successful
% 116.01/32.75
% 116.01/32.75
% 116.01/32.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 116.01/32.75
% 116.01/32.75 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 116.01/32.75
% 116.01/32.75 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 116.01/32.75
% 116.01/32.75 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 116.01/32.75 % ------ Proving...
% 116.01/32.75 % ------ Problem Properties
% 116.01/32.75
% 116.01/32.75 %
% 116.01/32.75 % clauses 8
% 116.01/32.75 % conjectures 1
% 116.01/32.75 % EPR 1
% 116.01/32.75 % Horn 8
% 116.01/32.75 % unary 8
% 116.01/32.75 % binary 0
% 116.01/32.75 % lits 8
% 116.01/32.75 % lits eq 8
% 116.01/32.75 % fd_pure 0
% 116.01/32.75 % fd_pseudo 0
% 116.01/32.75 % fd_cond 0
% 116.01/32.75 % fd_pseudo_cond 0
% 116.01/32.75 % AC symbols 0
% 116.01/32.75
% 116.01/32.75 % ------ Input Options Time Limit: Unbounded
% 116.01/32.75
% 116.01/32.75
% 116.01/32.75 % ------
% 116.01/32.75 % Current options:
% 116.01/32.75 % ------
% 116.01/32.75
% 116.01/32.75
% 116.01/32.75 %
% 116.01/32.75
% 116.01/32.75 % ------ Proving...
% 116.01/32.75 %
% 116.01/32.75
% 116.01/32.75 % SZS status Unsatisfiable for theBenchmark.p
% 116.01/32.75
% 116.01/32.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 116.01/32.76
% 116.01/32.76
%------------------------------------------------------------------------------