%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP655-11 : 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 : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:35:04 PM UTC 2026
% Result : Unsatisfiable 240.86s 34.27s
% Output : CNFRefutation 240.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 8
% Syntax : Number of formulae : 224 ( 224 unt; 2 def)
% Number of atoms : 729 ( 223 equ)
% Maximal formula atoms : 1 ( 3 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 : 237 ( 0 sgn 237 !; 0 ?; 226 :)
% 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(X2,X1))) = mult(mult(mult(X0,X1),X2),X1),
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),X2),X1) = mult(X0,mult(X1,mult(X2,X1))),
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),X2),X1) = mult(X0,mult(X1,mult(X2,X1))),
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_153,plain,
! [X0: $i,X1: $i] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_90,c_87]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(X1,mult(ld(mult(X0,X1),X2),X1))) = mult(X2,X1),
inference(superposition,[status(thm)],[c_90,c_86]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(ld(X0,X1),mult(X2,ld(X0,X1)))) = mult(mult(X1,X2),ld(X0,X1)),
inference(superposition,[status(thm)],[c_90,c_86]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,X1),mult(X1,mult(X2,X1))) = mult(mult(X0,X2),X1),
inference(superposition,[status(thm)],[c_88,c_86]) ).
tcf(c_169,plain,
! [X0: $i] : mult(x0,mult(iPr_def_10,mult(X0,iPr_def_10))) = mult(mult(iPr_def_11,X0),iPr_def_10),
inference(superposition,[status(thm)],[c_142,c_86]) ).
tcf(c_171,plain,
! [X0: $i] : mult(iPr_def_10,mult(x1,mult(X0,x1))) = mult(mult(x1,X0),x1),
inference(superposition,[status(thm)],[c_141,c_86]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i,X2: $i] : ld(mult(mult(X0,X1),X2),mult(X0,mult(X1,mult(X2,X1)))) = X1,
inference(superposition,[status(thm)],[c_86,c_89]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(X0,mult(X1,mult(X2,X1))),X1) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_86,c_87]) ).
tcf(c_185,plain,
! [X0: $i] : mult(mult(iPr_def_11,rd(X0,iPr_def_10)),iPr_def_10) = mult(x0,mult(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_88,c_169]) ).
tcf(c_190,plain,
! [X0: $i] : ld(x0,mult(mult(iPr_def_11,X0),iPr_def_10)) = mult(iPr_def_10,mult(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_169,c_89]) ).
tcf(c_211,plain,
! [X0: $i] : ld(iPr_def_10,mult(mult(x1,X0),x1)) = mult(x1,mult(X0,x1)),
inference(superposition,[status(thm)],[c_171,c_89]) ).
tcf(c_232,plain,
! [X0: $i] : ld(mult(iPr_def_11,rd(X0,iPr_def_10)),mult(x0,mult(iPr_def_10,X0))) = iPr_def_10,
inference(superposition,[status(thm)],[c_185,c_89]) ).
tcf(c_244,plain,
! [X0: $i] : mult(iPr_def_10,mult(ld(iPr_def_11,X0),iPr_def_10)) = ld(x0,mult(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_90,c_190]) ).
tcf(c_279,plain,
! [X0: $i] : mult(x1,mult(ld(x1,X0),x1)) = ld(iPr_def_10,mult(X0,x1)),
inference(superposition,[status(thm)],[c_90,c_211]) ).
tcf(c_325,plain,
! [X0: $i] : ld(iPr_def_10,ld(x0,mult(X0,iPr_def_10))) = mult(ld(iPr_def_11,X0),iPr_def_10),
inference(superposition,[status(thm)],[c_244,c_89]) ).
tcf(c_326,plain,
! [X0: $i] : rd(ld(x0,mult(X0,iPr_def_10)),mult(ld(iPr_def_11,X0),iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_244,c_87]) ).
tcf(c_353,plain,
! [X0: $i] : ld(x1,ld(iPr_def_10,mult(X0,x1))) = mult(ld(x1,X0),x1),
inference(superposition,[status(thm)],[c_279,c_89]) ).
tcf(c_382,plain,
mult(ld(iPr_def_11,x0),iPr_def_10) = ld(iPr_def_10,iPr_def_10),
inference(superposition,[status(thm)],[c_89,c_325]) ).
tcf(c_384,plain,
! [X0: $i] : mult(ld(iPr_def_11,rd(X0,iPr_def_10)),iPr_def_10) = ld(iPr_def_10,ld(x0,X0)),
inference(superposition,[status(thm)],[c_88,c_325]) ).
tcf(c_442,plain,
mult(ld(x1,iPr_def_10),x1) = ld(x1,x1),
inference(superposition,[status(thm)],[c_89,c_353]) ).
tcf(c_652,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,X1),mult(X1,mult(ld(X0,X2),X1))) = mult(X2,X1),
inference(superposition,[status(thm)],[c_88,c_164]) ).
tcf(c_674,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(ld(mult(X1,X0),X2),X0)) = ld(X1,mult(X2,X0)),
inference(superposition,[status(thm)],[c_164,c_89]) ).
tcf(c_678,plain,
! [X0: $i,X1: $i] : mult(iPr_def_10,mult(mult(X0,mult(ld(mult(iPr_def_11,X0),X1),X0)),iPr_def_10)) = ld(x0,mult(mult(X1,X0),iPr_def_10)),
inference(superposition,[status(thm)],[c_164,c_190]) ).
tcf(c_774,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,ld(X1,X2)),mult(ld(X1,X2),X2)) = mult(mult(X0,X1),ld(X1,X2)),
inference(superposition,[status(thm)],[c_90,c_167]) ).
tcf(c_775,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,rd(X1,X2)),X2) = mult(rd(X0,X2),mult(X2,X1)),
inference(superposition,[status(thm)],[c_88,c_167]) ).
tcf(c_788,plain,
! [X0: $i] : mult(rd(X0,iPr_def_10),mult(iPr_def_10,ld(iPr_def_10,iPr_def_10))) = mult(mult(X0,ld(iPr_def_11,x0)),iPr_def_10),
inference(superposition,[status(thm)],[c_382,c_167]) ).
tcf(c_793,plain,
! [X0: $i] : mult(rd(X0,x1),mult(x1,ld(x1,x1))) = mult(mult(X0,ld(x1,iPr_def_10)),x1),
inference(superposition,[status(thm)],[c_442,c_167]) ).
tcf(c_796,plain,
! [X0: $i,X1: $i,X2: $i] : ld(rd(X0,X1),mult(mult(X0,X2),X1)) = mult(X1,mult(X2,X1)),
inference(superposition,[status(thm)],[c_167,c_89]) ).
tcf(c_799,plain,
! [X0: $i] : mult(mult(X0,ld(x1,iPr_def_10)),x1) = X0,
inference(demodulation,[status(thm)],[c_793,c_90,c_88]) ).
tcf(c_800,plain,
! [X0: $i] : mult(mult(X0,ld(iPr_def_11,x0)),iPr_def_10) = X0,
inference(demodulation,[status(thm)],[c_788,c_90,c_88]) ).
tcf(c_839,plain,
! [X0: $i] : mult(X0,ld(x1,iPr_def_10)) = rd(X0,x1),
inference(superposition,[status(thm)],[c_799,c_87]) ).
tcf(c_841,plain,
! [X0: $i] : mult(X0,mult(ld(x1,iPr_def_10),mult(x1,ld(x1,iPr_def_10)))) = mult(X0,ld(x1,iPr_def_10)),
inference(superposition,[status(thm)],[c_799,c_86]) ).
tcf(c_847,plain,
! [X0: $i] : mult(X0,mult(ld(x1,iPr_def_10),iPr_def_10)) = mult(X0,ld(x1,iPr_def_10)),
inference(demodulation,[status(thm)],[c_841,c_90]) ).
tcf(c_861,plain,
! [X0: $i] : rd(X0,ld(iPr_def_11,x0)) = mult(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_88,c_800]) ).
tcf(c_900,plain,
! [X0: $i] : ld(X0,rd(X0,x1)) = ld(x1,iPr_def_10),
inference(superposition,[status(thm)],[c_839,c_89]) ).
tcf(c_926,plain,
! [X0: $i] : ld(mult(X0,iPr_def_10),X0) = ld(iPr_def_11,x0),
inference(superposition,[status(thm)],[c_861,c_146]) ).
tcf(c_927,plain,
! [X0: $i] : mult(mult(X0,iPr_def_10),ld(iPr_def_11,x0)) = X0,
inference(superposition,[status(thm)],[c_861,c_88]) ).
tcf(c_1114,plain,
! [X0: $i] : mult(X0,mult(ld(x1,iPr_def_10),iPr_def_10)) = rd(X0,x1),
inference(light_normalisation,[status(thm)],[c_847,c_839]) ).
tcf(c_1118,plain,
! [X0: $i] : ld(X0,rd(X0,x1)) = mult(ld(x1,iPr_def_10),iPr_def_10),
inference(superposition,[status(thm)],[c_1114,c_89]) ).
tcf(c_1136,plain,
mult(ld(x1,iPr_def_10),iPr_def_10) = ld(x1,iPr_def_10),
inference(demodulation,[status(thm)],[c_1118,c_900]) ).
tcf(c_1159,plain,
ld(ld(x1,iPr_def_10),ld(x1,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_1136,c_89]) ).
tcf(c_1163,plain,
ld(ld(x1,iPr_def_10),ld(x1,iPr_def_10)) = ld(iPr_def_11,x0),
inference(superposition,[status(thm)],[c_1136,c_926]) ).
tcf(c_1214,plain,
ld(iPr_def_11,x0) = iPr_def_10,
inference(superposition,[status(thm)],[c_1163,c_1159]) ).
tcf(c_1218,plain,
! [X0: $i] : mult(mult(X0,iPr_def_10),iPr_def_10) = X0,
inference(demodulation,[status(thm)],[c_927,c_1214]) ).
tcf(c_1219,plain,
! [X0: $i] : ld(mult(X0,iPr_def_10),X0) = iPr_def_10,
inference(demodulation,[status(thm)],[c_926,c_1214]) ).
tcf(c_1221,plain,
! [X0: $i] : mult(X0,iPr_def_10) = rd(X0,iPr_def_10),
inference(demodulation,[status(thm)],[c_861,c_1214]) ).
tcf(c_1228,plain,
! [X0: $i] : mult(ld(iPr_def_11,mult(X0,iPr_def_10)),iPr_def_10) = ld(iPr_def_10,ld(x0,X0)),
inference(demodulation,[status(thm)],[c_384,c_1221]) ).
tcf(c_1230,plain,
! [X0: $i] : ld(mult(iPr_def_11,mult(X0,iPr_def_10)),mult(x0,mult(iPr_def_10,X0))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_232,c_1221]) ).
tcf(c_1233,plain,
mult(iPr_def_11,iPr_def_10) = x0,
inference(demodulation,[status(thm)],[c_140,c_1221]) ).
tcf(c_1258,plain,
! [X0: $i] : mult(iPr_def_11,mult(iPr_def_10,mult(X0,iPr_def_10))) = mult(mult(x0,X0),iPr_def_10),
inference(superposition,[status(thm)],[c_1233,c_86]) ).
tcf(c_1264,plain,
ld(iPr_def_10,ld(x0,x0)) = mult(ld(iPr_def_11,iPr_def_11),iPr_def_10),
inference(superposition,[status(thm)],[c_1233,c_325]) ).
tcf(c_1609,plain,
! [X0: $i,X1: $i,X2: $i] : ld(mult(mult(X0,X1),rd(X2,X1)),mult(X0,mult(X1,X2))) = X1,
inference(superposition,[status(thm)],[c_88,c_173]) ).
tcf(c_1715,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),rd(X2,X1)) = rd(mult(X0,mult(X1,X2)),X1),
inference(superposition,[status(thm)],[c_88,c_174]) ).
tcf(c_1820,plain,
! [X0: $i,X1: $i] : mult(mult(X0,mult(X1,iPr_def_10)),iPr_def_10) = mult(rd(X0,iPr_def_10),mult(iPr_def_10,X1)),
inference(superposition,[status(thm)],[c_1218,c_167]) ).
tcf(c_1835,plain,
! [X0: $i,X1: $i] : mult(mult(X0,mult(X1,iPr_def_10)),iPr_def_10) = mult(mult(X0,iPr_def_10),mult(iPr_def_10,X1)),
inference(light_normalisation,[status(thm)],[c_1820,c_1221]) ).
tcf(c_2941,plain,
mult(mult(x0,iPr_def_11),iPr_def_10) = mult(iPr_def_11,mult(iPr_def_10,x0)),
inference(superposition,[status(thm)],[c_1233,c_1258]) ).
tcf(c_2957,plain,
! [X0: $i] : ld(x0,mult(mult(mult(x0,X0),iPr_def_10),iPr_def_10)) = mult(iPr_def_10,mult(mult(iPr_def_10,mult(X0,iPr_def_10)),iPr_def_10)),
inference(superposition,[status(thm)],[c_1258,c_190]) ).
tcf(c_2961,plain,
! [X0: $i] : mult(iPr_def_10,mult(mult(iPr_def_10,mult(X0,iPr_def_10)),iPr_def_10)) = X0,
inference(demodulation,[status(thm)],[c_2957,c_89,c_1218]) ).
tcf(c_2994,plain,
mult(ld(iPr_def_11,mult(iPr_def_11,mult(iPr_def_10,x0))),iPr_def_10) = ld(iPr_def_10,ld(x0,mult(x0,iPr_def_11))),
inference(superposition,[status(thm)],[c_2941,c_1228]) ).
tcf(c_3007,plain,
mult(mult(iPr_def_10,x0),iPr_def_10) = ld(iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_2994,c_89]) ).
tcf(c_3027,plain,
mult(iPr_def_10,mult(x0,mult(iPr_def_10,x0))) = mult(ld(iPr_def_10,iPr_def_11),x0),
inference(superposition,[status(thm)],[c_3007,c_86]) ).
tcf(c_3034,plain,
ld(ld(iPr_def_10,iPr_def_11),mult(iPr_def_10,x0)) = iPr_def_10,
inference(superposition,[status(thm)],[c_3007,c_1219]) ).
tcf(c_3118,plain,
! [X0: $i] : mult(iPr_def_10,mult(mult(iPr_def_10,X0),iPr_def_10)) = mult(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_1218,c_2961]) ).
tcf(c_3132,plain,
! [X0: $i] : mult(mult(iPr_def_10,mult(X0,iPr_def_10)),iPr_def_10) = ld(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_2961,c_89]) ).
tcf(c_3222,plain,
! [X0: $i] : mult(ld(iPr_def_10,X0),iPr_def_10) = mult(iPr_def_10,mult(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_90,c_3118]) ).
tcf(c_3223,plain,
mult(iPr_def_10,mult(x1,iPr_def_10)) = mult(x1,iPr_def_10),
inference(superposition,[status(thm)],[c_141,c_3118]) ).
tcf(c_3233,plain,
! [X0: $i] : ld(iPr_def_10,mult(X0,iPr_def_10)) = mult(mult(iPr_def_10,X0),iPr_def_10),
inference(superposition,[status(thm)],[c_3118,c_89]) ).
tcf(c_3297,plain,
! [X0: $i] : ld(mult(mult(X0,iPr_def_10),x1),mult(X0,mult(x1,iPr_def_10))) = iPr_def_10,
inference(superposition,[status(thm)],[c_3223,c_173]) ).
tcf(c_3561,plain,
mult(mult(ld(iPr_def_11,iPr_def_11),iPr_def_10),iPr_def_10) = mult(iPr_def_10,mult(ld(x0,x0),iPr_def_10)),
inference(superposition,[status(thm)],[c_1264,c_3222]) ).
tcf(c_3586,plain,
mult(iPr_def_10,mult(ld(x0,x0),iPr_def_10)) = ld(iPr_def_11,iPr_def_11),
inference(demodulation,[status(thm)],[c_3561,c_1218]) ).
tcf(c_4969,plain,
ld(iPr_def_10,ld(iPr_def_11,iPr_def_11)) = mult(ld(x0,x0),iPr_def_10),
inference(superposition,[status(thm)],[c_3586,c_89]) ).
tcf(c_7345,plain,
ld(mult(mult(iPr_def_10,iPr_def_10),x1),mult(x1,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_3223,c_3297]) ).
tcf(c_7411,plain,
mult(mult(iPr_def_10,iPr_def_10),x1) = rd(mult(x1,iPr_def_10),iPr_def_10),
inference(superposition,[status(thm)],[c_7345,c_153]) ).
tcf(c_7412,plain,
mult(mult(iPr_def_10,iPr_def_10),x1) = x1,
inference(demodulation,[status(thm)],[c_7411,c_87]) ).
tcf(c_7419,plain,
mult(iPr_def_10,iPr_def_10) = rd(x1,x1),
inference(superposition,[status(thm)],[c_7412,c_87]) ).
tcf(c_7436,plain,
mult(iPr_def_10,iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_7419,c_143]) ).
tcf(c_7478,plain,
! [X0: $i] : mult(iPr_def_10,mult(iPr_def_10,mult(X0,iPr_def_10))) = mult(mult(iPr_def_10,X0),iPr_def_10),
inference(superposition,[status(thm)],[c_7436,c_86]) ).
tcf(c_11803,plain,
! [X0: $i] : mult(mult(iPr_def_10,mult(X0,iPr_def_10)),iPr_def_10) = mult(iPr_def_10,mult(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_1218,c_7478]) ).
tcf(c_11853,plain,
! [X0: $i] : mult(iPr_def_10,mult(iPr_def_10,X0)) = ld(iPr_def_10,X0),
inference(demodulation,[status(thm)],[c_11803,c_3132]) ).
tcf(c_11940,plain,
! [X0: $i] : ld(iPr_def_10,ld(iPr_def_10,X0)) = mult(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_11853,c_89]) ).
tcf(c_12067,plain,
ld(iPr_def_10,mult(ld(x0,x0),iPr_def_10)) = mult(iPr_def_10,ld(iPr_def_11,iPr_def_11)),
inference(superposition,[status(thm)],[c_4969,c_11940]) ).
tcf(c_12087,plain,
mult(mult(iPr_def_10,ld(x0,x0)),iPr_def_10) = mult(iPr_def_10,ld(iPr_def_11,iPr_def_11)),
inference(demodulation,[status(thm)],[c_12067,c_3233]) ).
tcf(c_17436,plain,
ld(mult(iPr_def_10,ld(x0,x0)),mult(iPr_def_10,ld(iPr_def_11,iPr_def_11))) = iPr_def_10,
inference(superposition,[status(thm)],[c_12087,c_89]) ).
tcf(c_22126,plain,
! [X0: $i,X1: $i,X2: $i] : ld(rd(X0,X1),mult(X2,X1)) = mult(X1,mult(ld(X0,X2),X1)),
inference(superposition,[status(thm)],[c_652,c_89]) ).
tcf(c_24080,plain,
! [X0: $i] : ld(rd(iPr_def_10,X0),mult(iPr_def_10,X0)) = mult(X0,mult(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_7436,c_796]) ).
tcf(c_24990,plain,
! [X0: $i] : ld(rd(iPr_def_10,ld(iPr_def_10,X0)),X0) = mult(ld(iPr_def_10,X0),X0),
inference(superposition,[status(thm)],[c_90,c_24080]) ).
tcf(c_25416,plain,
! [X0: $i] : mult(rd(iPr_def_10,ld(iPr_def_10,X0)),mult(ld(iPr_def_10,X0),X0)) = X0,
inference(superposition,[status(thm)],[c_24990,c_90]) ).
tcf(c_30771,plain,
! [X0: $i] : ld(mult(mult(X0,x0),rd(iPr_def_10,x0)),mult(X0,iPr_def_11)) = x0,
inference(superposition,[status(thm)],[c_142,c_1609]) ).
tcf(c_31426,plain,
! [X0: $i] : ld(mult(mult(rd(X0,iPr_def_11),x0),rd(iPr_def_10,x0)),X0) = x0,
inference(superposition,[status(thm)],[c_88,c_30771]) ).
tcf(c_31532,plain,
! [X0: $i] : mult(mult(rd(X0,iPr_def_11),x0),rd(iPr_def_10,x0)) = rd(X0,x0),
inference(superposition,[status(thm)],[c_31426,c_153]) ).
tcf(c_31780,plain,
! [X0: $i] : rd(rd(X0,x0),rd(iPr_def_10,x0)) = mult(rd(X0,iPr_def_11),x0),
inference(superposition,[status(thm)],[c_31532,c_87]) ).
tcf(c_50757,plain,
! [X0: $i,X1: $i] : mult(X0,mult(ld(X1,rd(X1,X0)),X0)) = X0,
inference(superposition,[status(thm)],[c_22126,c_89]) ).
tcf(c_51308,plain,
! [X0: $i,X1: $i] : mult(ld(X0,rd(X0,X1)),X1) = ld(X1,X1),
inference(superposition,[status(thm)],[c_50757,c_89]) ).
tcf(c_51309,plain,
! [X0: $i,X1: $i] : rd(X0,mult(ld(X1,rd(X1,X0)),X0)) = X0,
inference(superposition,[status(thm)],[c_50757,c_87]) ).
tcf(c_51321,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),rd(mult(ld(X2,rd(X2,X1)),X1),X1)) = rd(mult(X0,X1),X1),
inference(superposition,[status(thm)],[c_50757,c_1715]) ).
tcf(c_51407,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),ld(X2,rd(X2,X1))) = X0,
inference(demodulation,[status(thm)],[c_51321,c_87]) ).
tcf(c_52340,plain,
! [X0: $i,X1: $i] : rd(X0,mult(ld(mult(X1,X0),X1),X0)) = X0,
inference(superposition,[status(thm)],[c_87,c_51309]) ).
tcf(c_53326,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),ld(mult(X2,X1),X2)) = X0,
inference(superposition,[status(thm)],[c_87,c_51407]) ).
tcf(c_53441,plain,
! [X0: $i,X1: $i,X2: $i] : ld(mult(X0,X1),X0) = ld(X2,rd(X2,X1)),
inference(superposition,[status(thm)],[c_51407,c_89]) ).
tcf(c_53462,plain,
! [X0: $i,X1: $i] : ld(mult(X0,X1),X0) = iPr_def_12(X1),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_53441]) ).
tcf(c_53463,plain,
! [X0: $i,X1: $i] : ld(X0,rd(X0,X1)) = iPr_def_12(X1),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_53441]) ).
tcf(c_53586,plain,
! [X0: $i] : mult(iPr_def_12(X0),X0) = ld(X0,X0),
inference(demodulation,[status(thm)],[c_51308,c_53463]) ).
tcf(c_53588,plain,
! [X0: $i,X1: $i] : mult(mult(X0,X1),iPr_def_12(X1)) = X0,
inference(demodulation,[status(thm)],[c_51407,c_53463]) ).
tcf(c_54350,plain,
! [X0: $i,X1: $i] : iPr_def_12(ld(X0,X1)) = ld(X1,X0),
inference(superposition,[status(thm)],[c_90,c_53462]) ).
tcf(c_54372,plain,
ld(mult(ld(iPr_def_10,iPr_def_11),x0),iPr_def_10) = iPr_def_12(mult(x0,mult(iPr_def_10,x0))),
inference(superposition,[status(thm)],[c_3027,c_53462]) ).
tcf(c_54515,plain,
! [X0: $i] : ld(X0,rd(iPr_def_10,ld(iPr_def_10,X0))) = iPr_def_12(mult(ld(iPr_def_10,X0),X0)),
inference(superposition,[status(thm)],[c_25416,c_53462]) ).
tcf(c_54534,plain,
! [X0: $i,X1: $i] : rd(X0,iPr_def_12(X1)) = mult(X0,X1),
inference(superposition,[status(thm)],[c_53462,c_153]) ).
tcf(c_54718,plain,
! [X0: $i,X1: $i] : mult(X0,iPr_def_12(X1)) = rd(X0,X1),
inference(superposition,[status(thm)],[c_53463,c_90]) ).
tcf(c_55033,plain,
! [X0: $i] : ld(ld(X0,X0),iPr_def_12(X0)) = iPr_def_12(X0),
inference(superposition,[status(thm)],[c_53586,c_53462]) ).
tcf(c_55039,plain,
! [X0: $i] : rd(ld(X0,X0),X0) = iPr_def_12(X0),
inference(superposition,[status(thm)],[c_53586,c_87]) ).
tcf(c_55042,plain,
! [X0: $i,X1: $i] : ld(mult(mult(X0,X1),iPr_def_12(X1)),mult(X0,mult(X1,ld(X1,X1)))) = X1,
inference(superposition,[status(thm)],[c_53586,c_173]) ).
tcf(c_55197,plain,
! [X0: $i] : iPr_def_12(iPr_def_12(X0)) = X0,
inference(demodulation,[status(thm)],[c_55042,c_90,c_53462]) ).
tcf(c_55269,plain,
! [X0: $i,X1: $i] : mult(X0,iPr_def_12(ld(X1,X0))) = X1,
inference(superposition,[status(thm)],[c_90,c_53588]) ).
tcf(c_55447,plain,
! [X0: $i] : mult(ld(X0,X0),iPr_def_12(X0)) = iPr_def_12(X0),
inference(superposition,[status(thm)],[c_53586,c_53588]) ).
tcf(c_55466,plain,
! [X0: $i,X1: $i] : mult(X0,mult(iPr_def_12(X1),mult(X1,iPr_def_12(X1)))) = mult(X0,iPr_def_12(X1)),
inference(superposition,[status(thm)],[c_53588,c_86]) ).
tcf(c_55477,plain,
! [X0: $i,X1: $i] : mult(X0,mult(iPr_def_12(X1),mult(X1,iPr_def_12(X1)))) = rd(X0,X1),
inference(light_normalisation,[status(thm)],[c_55466,c_54718]) ).
tcf(c_55920,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,ld(X1,X2)) = rd(X0,ld(X2,X1)),
inference(superposition,[status(thm)],[c_54350,c_54534]) ).
tcf(c_56018,plain,
! [X0: $i] : ld(iPr_def_12(X0),iPr_def_12(X0)) = rd(iPr_def_12(iPr_def_12(X0)),X0),
inference(superposition,[status(thm)],[c_54718,c_53586]) ).
tcf(c_56019,plain,
! [X0: $i] : ld(iPr_def_12(X0),iPr_def_12(X0)) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_56018,c_55197]) ).
tcf(c_56977,plain,
! [X0: $i] : mult(rd(X0,iPr_def_12(X0)),mult(iPr_def_12(X0),iPr_def_12(X0))) = mult(X0,iPr_def_12(X0)),
inference(superposition,[status(thm)],[c_55447,c_652]) ).
tcf(c_56980,plain,
! [X0: $i] : mult(mult(X0,X0),rd(iPr_def_12(X0),X0)) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_56977,c_54534,c_54718]) ).
tcf(c_57013,plain,
! [X0: $i] : iPr_def_12(rd(X0,X0)) = rd(X0,X0),
inference(superposition,[status(thm)],[c_56019,c_54350]) ).
tcf(c_57015,plain,
! [X0: $i] : mult(iPr_def_12(X0),rd(X0,X0)) = iPr_def_12(X0),
inference(superposition,[status(thm)],[c_56019,c_90]) ).
tcf(c_57043,plain,
! [X0: $i,X1: $i] : mult(X0,rd(X1,X1)) = rd(X0,rd(X1,X1)),
inference(superposition,[status(thm)],[c_57013,c_54718]) ).
tcf(c_57143,plain,
! [X0: $i] : mult(rd(iPr_def_12(X0),X0),mult(X0,X0)) = mult(iPr_def_12(X0),X0),
inference(superposition,[status(thm)],[c_57015,c_775]) ).
tcf(c_57144,plain,
! [X0: $i] : mult(rd(iPr_def_12(X0),X0),mult(X0,X0)) = ld(X0,X0),
inference(demodulation,[status(thm)],[c_57143,c_53586]) ).
tcf(c_69419,plain,
! [X0: $i] : mult(rd(mult(X0,X0),X0),mult(X0,iPr_def_12(X0))) = mult(rd(X0,X0),X0),
inference(superposition,[status(thm)],[c_56980,c_775]) ).
tcf(c_69423,plain,
! [X0: $i] : mult(X0,rd(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_69419,c_88,c_87,c_54718]) ).
tcf(c_69486,plain,
! [X0: $i] : ld(X0,X0) = rd(X0,X0),
inference(superposition,[status(thm)],[c_69423,c_89]) ).
tcf(c_69501,plain,
mult(iPr_def_10,mult(rd(iPr_def_11,iPr_def_11),iPr_def_10)) = ld(x0,mult(iPr_def_11,iPr_def_10)),
inference(superposition,[status(thm)],[c_69423,c_190]) ).
tcf(c_69544,plain,
! [X0: $i] : mult(rd(X0,X0),mult(X0,X0)) = mult(X0,X0),
inference(superposition,[status(thm)],[c_69423,c_775]) ).
tcf(c_69552,plain,
mult(iPr_def_10,mult(rd(iPr_def_11,iPr_def_11),iPr_def_10)) = ld(x0,x0),
inference(demodulation,[status(thm)],[c_69501,c_1233]) ).
tcf(c_69570,plain,
! [X0: $i] : ld(rd(X0,X0),iPr_def_12(X0)) = iPr_def_12(X0),
inference(demodulation,[status(thm)],[c_55033,c_69486]) ).
tcf(c_69571,plain,
! [X0: $i] : rd(rd(X0,X0),X0) = iPr_def_12(X0),
inference(demodulation,[status(thm)],[c_55039,c_69486]) ).
tcf(c_69584,plain,
ld(mult(iPr_def_10,rd(x0,x0)),mult(iPr_def_10,ld(iPr_def_11,iPr_def_11))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_17436,c_69486]) ).
tcf(c_69598,plain,
! [X0: $i] : rd(iPr_def_12(X0),iPr_def_12(X0)) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_56019,c_69486]) ).
tcf(c_69599,plain,
! [X0: $i] : mult(iPr_def_12(X0),X0) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_69598,c_54534]) ).
tcf(c_69654,plain,
rd(ld(x0,mult(iPr_def_11,iPr_def_10)),mult(rd(iPr_def_11,iPr_def_11),iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_69486,c_326]) ).
tcf(c_69704,plain,
rd(rd(x0,x0),mult(rd(iPr_def_11,iPr_def_11),iPr_def_10)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_69654,c_1233,c_69486]) ).
tcf(c_70539,plain,
! [X0: $i] : rd(mult(X0,X0),mult(X0,X0)) = rd(X0,X0),
inference(superposition,[status(thm)],[c_69544,c_87]) ).
tcf(c_70634,plain,
ld(iPr_def_10,mult(rd(iPr_def_11,iPr_def_11),iPr_def_10)) = mult(iPr_def_10,ld(x0,x0)),
inference(superposition,[status(thm)],[c_69552,c_11853]) ).
tcf(c_70660,plain,
mult(mult(iPr_def_10,rd(iPr_def_11,iPr_def_11)),iPr_def_10) = mult(iPr_def_10,rd(x0,x0)),
inference(demodulation,[status(thm)],[c_70634,c_3233,c_69486]) ).
tcf(c_71339,plain,
mult(iPr_def_10,mult(rd(iPr_def_11,iPr_def_11),iPr_def_10)) = rd(x0,x0),
inference(superposition,[status(thm)],[c_69704,c_88]) ).
tcf(c_71489,plain,
! [X0: $i] : rd(rd(X0,X0),mult(X0,X0)) = iPr_def_12(mult(X0,X0)),
inference(superposition,[status(thm)],[c_70539,c_69571]) ).
tcf(c_71989,plain,
! [X0: $i] : mult(rd(iPr_def_12(X0),X0),mult(X0,X0)) = rd(X0,X0),
inference(light_normalisation,[status(thm)],[c_57144,c_69486]) ).
tcf(c_72020,plain,
! [X0: $i] : rd(rd(X0,X0),mult(X0,X0)) = rd(iPr_def_12(X0),X0),
inference(superposition,[status(thm)],[c_71989,c_87]) ).
tcf(c_72043,plain,
! [X0: $i] : rd(iPr_def_12(X0),X0) = iPr_def_12(mult(X0,X0)),
inference(light_normalisation,[status(thm)],[c_72020,c_71489]) ).
tcf(c_72110,plain,
! [X0: $i] : ld(iPr_def_12(mult(X0,X0)),iPr_def_12(X0)) = X0,
inference(superposition,[status(thm)],[c_72043,c_146]) ).
tcf(c_79774,plain,
! [X0: $i,X1: $i] : mult(rd(X0,mult(X1,iPr_def_12(X1))),rd(mult(X1,iPr_def_12(X1)),X1)) = mult(mult(X0,iPr_def_12(X1)),mult(X1,iPr_def_12(X1))),
inference(superposition,[status(thm)],[c_55477,c_167]) ).
tcf(c_79901,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),rd(X1,X1)) = rd(mult(X0,rd(X1,X1)),X1),
inference(demodulation,[status(thm)],[c_79774,c_54718,c_57043,c_69571]) ).
tcf(c_114204,plain,
mult(x0,mult(iPr_def_12(mult(x0,mult(iPr_def_10,x0))),x0)) = ld(ld(iPr_def_10,iPr_def_11),mult(iPr_def_10,x0)),
inference(superposition,[status(thm)],[c_54372,c_674]) ).
tcf(c_114214,plain,
mult(x0,mult(iPr_def_12(mult(x0,mult(iPr_def_10,x0))),x0)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_114204,c_3034]) ).
tcf(c_114238,plain,
mult(iPr_def_12(mult(x0,mult(iPr_def_10,x0))),x0) = ld(x0,iPr_def_10),
inference(superposition,[status(thm)],[c_114214,c_89]) ).
tcf(c_114306,plain,
iPr_def_12(mult(x0,mult(iPr_def_10,x0))) = rd(ld(x0,iPr_def_10),x0),
inference(superposition,[status(thm)],[c_114238,c_87]) ).
tcf(c_124686,plain,
! [X0: $i] : ld(rd(iPr_def_10,X0),rd(iPr_def_10,iPr_def_12(X0))) = iPr_def_12(mult(iPr_def_12(X0),rd(iPr_def_10,X0))),
inference(superposition,[status(thm)],[c_53463,c_54515]) ).
tcf(c_124807,plain,
! [X0: $i] : iPr_def_12(mult(iPr_def_12(X0),rd(iPr_def_10,X0))) = mult(X0,mult(iPr_def_10,X0)),
inference(demodulation,[status(thm)],[c_124686,c_1221,c_7436,c_22126,c_54534,c_69486]) ).
tcf(c_124980,plain,
! [X0: $i] : mult(iPr_def_12(X0),rd(iPr_def_10,X0)) = iPr_def_12(mult(X0,mult(iPr_def_10,X0))),
inference(superposition,[status(thm)],[c_124807,c_55197]) ).
tcf(c_125139,plain,
! [X0: $i] : ld(iPr_def_12(X0),iPr_def_12(mult(X0,mult(iPr_def_10,X0)))) = rd(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_124980,c_89]) ).
tcf(c_125299,plain,
ld(iPr_def_12(x0),rd(ld(x0,iPr_def_10),x0)) = rd(iPr_def_10,x0),
inference(superposition,[status(thm)],[c_114306,c_125139]) ).
tcf(c_125462,plain,
mult(rd(ld(x0,iPr_def_10),x0),iPr_def_12(rd(iPr_def_10,x0))) = iPr_def_12(x0),
inference(superposition,[status(thm)],[c_125299,c_55269]) ).
tcf(c_125466,plain,
mult(rd(ld(x0,iPr_def_10),iPr_def_11),x0) = iPr_def_12(x0),
inference(demodulation,[status(thm)],[c_125462,c_31780,c_54718]) ).
tcf(c_125484,plain,
rd(ld(x0,iPr_def_10),iPr_def_11) = rd(iPr_def_12(x0),x0),
inference(superposition,[status(thm)],[c_125466,c_87]) ).
tcf(c_125486,plain,
! [X0: $i] : mult(mult(X0,x0),ld(iPr_def_12(x0),rd(ld(x0,iPr_def_10),iPr_def_11))) = X0,
inference(superposition,[status(thm)],[c_125466,c_53326]) ).
tcf(c_125496,plain,
rd(x0,mult(ld(iPr_def_12(x0),rd(ld(x0,iPr_def_10),iPr_def_11)),x0)) = x0,
inference(superposition,[status(thm)],[c_125466,c_52340]) ).
tcf(c_125509,plain,
rd(ld(x0,iPr_def_10),iPr_def_11) = iPr_def_12(mult(x0,x0)),
inference(demodulation,[status(thm)],[c_125484,c_72043]) ).
tcf(c_130823,plain,
! [X0: $i] : ld(x0,mult(mult(mult(x0,mult(iPr_def_10,X0)),mult(X0,iPr_def_10)),iPr_def_10)) = mult(iPr_def_10,mult(mult(mult(X0,iPr_def_10),mult(iPr_def_10,mult(X0,iPr_def_10))),iPr_def_10)),
inference(superposition,[status(thm)],[c_1230,c_678]) ).
tcf(c_131067,plain,
! [X0: $i] : mult(mult(iPr_def_10,X0),ld(iPr_def_10,X0)) = mult(iPr_def_10,mult(X0,X0)),
inference(demodulation,[status(thm)],[c_130823,c_89,c_86,c_1218,c_1835,c_3118,c_11853]) ).
tcf(c_131735,plain,
! [X0: $i] : ld(mult(iPr_def_10,mult(X0,X0)),mult(iPr_def_10,X0)) = iPr_def_12(ld(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_131067,c_53462]) ).
tcf(c_131740,plain,
! [X0: $i] : ld(mult(iPr_def_10,X0),mult(iPr_def_10,mult(X0,X0))) = ld(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_131067,c_89]) ).
tcf(c_131768,plain,
! [X0: $i] : ld(mult(iPr_def_10,mult(X0,X0)),mult(iPr_def_10,X0)) = ld(X0,iPr_def_10),
inference(demodulation,[status(thm)],[c_131735,c_54350]) ).
tcf(c_132292,plain,
! [X0: $i] : ld(mult(iPr_def_10,mult(iPr_def_12(X0),iPr_def_12(X0))),rd(iPr_def_10,X0)) = ld(iPr_def_12(X0),iPr_def_10),
inference(superposition,[status(thm)],[c_54718,c_131768]) ).
tcf(c_132332,plain,
! [X0: $i] : ld(rd(iPr_def_10,mult(X0,X0)),rd(iPr_def_10,X0)) = ld(iPr_def_12(X0),iPr_def_10),
inference(demodulation,[status(thm)],[c_132292,c_54718,c_72043]) ).
tcf(c_192706,plain,
! [X0: $i,X1: $i] : mult(rd(X0,iPr_def_12(X1)),mult(iPr_def_12(X1),iPr_def_12(X1))) = mult(mult(X0,rd(X1,X1)),iPr_def_12(X1)),
inference(superposition,[status(thm)],[c_69570,c_774]) ).
tcf(c_192946,plain,
! [X0: $i,X1: $i] : rd(mult(X0,rd(X1,X1)),X1) = rd(mult(X0,X1),mult(X1,X1)),
inference(demodulation,[status(thm)],[c_192706,c_54534,c_54718,c_72043]) ).
tcf(c_192947,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),rd(X1,X1)) = rd(mult(X0,X1),mult(X1,X1)),
inference(light_normalisation,[status(thm)],[c_192946,c_79901]) ).
tcf(c_193147,plain,
! [X0: $i] : mult(rd(X0,X0),rd(X0,X0)) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_70539,c_192947]) ).
tcf(c_196493,plain,
! [X0: $i] : ld(mult(iPr_def_10,rd(X0,X0)),mult(iPr_def_10,rd(X0,X0))) = ld(iPr_def_10,rd(X0,X0)),
inference(superposition,[status(thm)],[c_193147,c_131740]) ).
tcf(c_196519,plain,
! [X0: $i] : rd(mult(iPr_def_10,rd(X0,X0)),mult(iPr_def_10,rd(X0,X0))) = ld(iPr_def_10,rd(X0,X0)),
inference(demodulation,[status(thm)],[c_196493,c_69486]) ).
tcf(c_228769,plain,
! [X0: $i] : mult(mult(X0,x0),ld(iPr_def_12(x0),iPr_def_12(mult(x0,x0)))) = X0,
inference(light_normalisation,[status(thm)],[c_125486,c_125509]) ).
tcf(c_228772,plain,
! [X0: $i] : mult(X0,ld(iPr_def_12(x0),iPr_def_12(mult(x0,x0)))) = rd(X0,x0),
inference(superposition,[status(thm)],[c_88,c_228769]) ).
tcf(c_229159,plain,
rd(ld(iPr_def_12(x0),iPr_def_12(mult(x0,x0))),ld(iPr_def_12(x0),iPr_def_12(mult(x0,x0)))) = rd(iPr_def_12(ld(iPr_def_12(x0),iPr_def_12(mult(x0,x0)))),x0),
inference(superposition,[status(thm)],[c_228772,c_69599]) ).
tcf(c_229210,plain,
mult(ld(iPr_def_12(x0),iPr_def_12(mult(x0,x0))),x0) = rd(x0,x0),
inference(demodulation,[status(thm)],[c_229159,c_54350,c_55920,c_72110]) ).
tcf(c_229577,plain,
rd(x0,rd(x0,x0)) = x0,
inference(light_normalisation,[status(thm)],[c_125496,c_125509,c_229210]) ).
tcf(c_232405,plain,
! [X0: $i] : ld(rd(iPr_def_10,rd(X0,X0)),rd(iPr_def_10,rd(X0,X0))) = ld(iPr_def_12(rd(X0,X0)),iPr_def_10),
inference(superposition,[status(thm)],[c_193147,c_132332]) ).
tcf(c_232458,plain,
! [X0: $i] : rd(mult(iPr_def_10,rd(X0,X0)),mult(iPr_def_10,rd(X0,X0))) = ld(rd(X0,X0),iPr_def_10),
inference(demodulation,[status(thm)],[c_232405,c_57013,c_57043,c_69486]) ).
tcf(c_232459,plain,
! [X0: $i] : ld(rd(X0,X0),iPr_def_10) = ld(iPr_def_10,rd(X0,X0)),
inference(light_normalisation,[status(thm)],[c_232458,c_196519]) ).
tcf(c_232523,plain,
! [X0: $i] : mult(rd(X0,X0),ld(iPr_def_10,rd(X0,X0))) = iPr_def_10,
inference(superposition,[status(thm)],[c_232459,c_90]) ).
tcf(c_232727,plain,
! [X0: $i] : mult(mult(rd(X0,X0),rd(X0,X0)),ld(iPr_def_10,rd(X0,X0))) = mult(iPr_def_10,mult(ld(iPr_def_10,rd(X0,X0)),iPr_def_10)),
inference(superposition,[status(thm)],[c_232523,c_166]) ).
tcf(c_232738,plain,
! [X0: $i] : mult(mult(iPr_def_10,rd(X0,X0)),iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_232727,c_3222,c_3233,c_11853,c_193147,c_232523]) ).
tcf(c_232757,plain,
mult(iPr_def_10,rd(x0,x0)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_70660,c_232738]) ).
tcf(c_232761,plain,
ld(iPr_def_10,mult(iPr_def_10,ld(iPr_def_11,iPr_def_11))) = iPr_def_10,
inference(demodulation,[status(thm)],[c_69584,c_232757]) ).
tcf(c_232762,plain,
rd(iPr_def_11,iPr_def_11) = iPr_def_10,
inference(demodulation,[status(thm)],[c_232761,c_89,c_69486]) ).
tcf(c_232782,plain,
mult(iPr_def_10,mult(iPr_def_10,iPr_def_10)) = rd(x0,x0),
inference(demodulation,[status(thm)],[c_71339,c_232762]) ).
tcf(c_232795,plain,
rd(x0,x0) = iPr_def_10,
inference(demodulation,[status(thm)],[c_232782,c_1221,c_7436,c_11853,c_69486]) ).
tcf(c_232796,plain,
rd(x0,iPr_def_10) = x0,
inference(demodulation,[status(thm)],[c_229577,c_232795]) ).
tcf(c_232825,plain,
x0 = iPr_def_11,
inference(demodulation,[status(thm)],[c_232796,c_142,c_1221]) ).
tcf(c_233446,plain,
iPr_def_11 != iPr_def_11,
inference(demodulation,[status(thm)],[c_85,c_232825]) ).
tcf(c_233447,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_233446]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP655-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.44 % Computer : n015.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Wed Sep 23 15:33:39 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.49 Running UEQ theorem proving
% 0.17/0.49 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
% 0.17/0.51
% 0.17/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.51
% 0.17/0.51 % Detected problem language: tptp
% 0.25/0.52 % Proving...
% 240.86/34.27 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 240.86/34.27 % SZS status Started for theBenchmark.p
% 240.86/34.27 % SZS status Unsatisfiable for theBenchmark.p
% 240.86/34.27
% 240.86/34.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 240.86/34.27
% 240.86/34.27 % ------ iProver source info
% 240.86/34.27
% 240.86/34.27 % git: date: 2026-07-19 20:42:38 +0200
% 240.86/34.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 240.86/34.27 % git: non_committed_changes: false
% 240.86/34.27
% 240.86/34.27 % ------ Parsing...% successful
% 240.86/34.27
% 240.86/34.27
% 240.86/34.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 240.86/34.27
% 240.86/34.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 240.86/34.27
% 240.86/34.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 240.86/34.27
% 240.86/34.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 240.86/34.27 % ------ Proving...
% 240.86/34.27 % ------ Problem Properties
% 240.86/34.27
% 240.86/34.27 %
% 240.86/34.27 % clauses 8
% 240.86/34.27 % conjectures 1
% 240.86/34.27 % EPR 1
% 240.86/34.27 % Horn 8
% 240.86/34.27 % unary 8
% 240.86/34.27 % binary 0
% 240.86/34.27 % lits 8
% 240.86/34.27 % lits eq 8
% 240.86/34.27 % fd_pure 0
% 240.86/34.27 % fd_pseudo 0
% 240.86/34.27 % fd_cond 0
% 240.86/34.27 % fd_pseudo_cond 0
% 240.86/34.27 % AC symbols 0
% 240.86/34.27
% 240.86/34.27 % ------ Input Options Time Limit: Unbounded
% 240.86/34.27
% 240.86/34.27
% 240.86/34.27 % ------
% 240.86/34.27 % Current options:
% 240.86/34.27 % ------
% 240.86/34.27
% 240.86/34.27
% 240.86/34.27 %
% 240.86/34.27
% 240.86/34.27 % ------ Proving...
% 240.86/34.27 %
% 240.86/34.27
% 240.86/34.27 % SZS status Unsatisfiable for theBenchmark.p
% 240.86/34.27
% 240.86/34.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 240.86/34.28
% 240.86/34.28
%------------------------------------------------------------------------------