%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP683-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 01:35:11 PM UTC 2026
% Result : Unsatisfiable 5.00s 1.75s
% Output : CNFRefutation 5.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 8
% Syntax : Number of formulae : 157 ( 157 unt; 0 def)
% Number of atoms : 157 ( 156 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 352 ( 0 sgn 352 !; 0 ?; 336 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ld(X0,mult(X0,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0] : rd(mult(X0,X0),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X2,X3,X0,X1] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
fof(f8,negated_conjecture,
mult(x3,ld(x4,mult(x4,x5))) != mult(x3,x5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
tcf(c_57,plain,
! [X0: $i] : ld(X0,mult(X0,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,plain,
! [X0: $i] : rd(mult(X0,X0),X0) = X0,
inference(cnf_transformation,[],[f2]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
inference(cnf_transformation,[],[f4]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
inference(cnf_transformation,[],[f7]) ).
tcf(c_64,negated_conjecture,
mult(x3,ld(x4,mult(x4,x5))) != mult(x3,x5),
inference(cnf_transformation,[],[f8]) ).
tcf(c_88,plain,
! [X0: $i] : mult(rd(X0,X0),X0) = X0,
inference(demodulation,[status(thm)],[c_58,c_60]) ).
tcf(c_89,plain,
! [X0: $i] : mult(X0,ld(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_57,c_59]) ).
tcf(c_90,plain,
mult(x3,mult(x4,ld(x4,x5))) != mult(x3,x5),
inference(demodulation,[status(thm)],[c_64,c_59]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] : mult(rd(rd(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
inference(demodulation,[status(thm)],[c_63,c_59,c_60]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,mult(rd(X1,X3),X3)),
inference(demodulation,[status(thm)],[c_62,c_60]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(demodulation,[status(thm)],[c_61,c_59]) ).
tcf(c_155,plain,
! [X0: $i] : mult(X0,ld(X0,ld(rd(X0,X0),rd(X0,X0)))) = rd(X0,X0),
inference(superposition,[status(thm)],[c_91,c_88]) ).
tcf(c_158,plain,
! [X0: $i] : mult(rd(X0,X0),ld(rd(X0,X0),X0)) = ld(rd(X0,X0),X0),
inference(superposition,[status(thm)],[c_88,c_59]) ).
tcf(c_159,plain,
! [X0: $i] : mult(X0,ld(X0,ld(X0,X0))) = ld(X0,X0),
inference(superposition,[status(thm)],[c_89,c_59]) ).
tcf(c_174,plain,
! [X0: $i] : mult(rd(rd(X0,X0),X0),X0) = rd(X0,X0),
inference(superposition,[status(thm)],[c_88,c_60]) ).
tcf(c_175,plain,
! [X0: $i] : mult(rd(X0,ld(X0,X0)),ld(X0,X0)) = rd(X0,ld(X0,X0)),
inference(superposition,[status(thm)],[c_89,c_60]) ).
tcf(c_190,plain,
! [X0: $i] : mult(rd(X0,ld(X0,ld(X0,X0))),ld(X0,ld(X0,X0))) = rd(ld(X0,X0),ld(X0,ld(X0,X0))),
inference(superposition,[status(thm)],[c_159,c_60]) ).
tcf(c_194,plain,
! [X0: $i] : ld(X0,X0) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_174,c_91,c_159]) ).
tcf(c_198,plain,
! [X0: $i] : mult(ld(X0,X0),ld(ld(X0,X0),X0)) = ld(ld(X0,X0),X0),
inference(demodulation,[status(thm)],[c_158,c_194]) ).
tcf(c_199,plain,
! [X0: $i] : mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))) = ld(X0,X0),
inference(demodulation,[status(thm)],[c_155,c_194]) ).
tcf(c_200,plain,
! [X0: $i] : mult(ld(X0,X0),X0) = X0,
inference(demodulation,[status(thm)],[c_88,c_194]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i] : mult(rd(ld(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
inference(demodulation,[status(thm)],[c_91,c_194]) ).
tcf(c_214,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(ld(X0,X0),X2),X2)),
inference(superposition,[status(thm)],[c_89,c_92]) ).
tcf(c_217,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(ld(X0,X0),mult(rd(X0,X2),X2)),
inference(superposition,[status(thm)],[c_200,c_92]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(mult(X0,X1),ld(X2,X2)),ld(X2,X2)) = mult(X0,mult(rd(X1,X2),X2)),
inference(superposition,[status(thm)],[c_194,c_92]) ).
tcf(c_258,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(X0,ld(X0,ld(X2,X2)))),
inference(demodulation,[status(thm)],[c_214,c_201]) ).
tcf(c_264,plain,
! [X0: $i,X1: $i] : mult(rd(X0,ld(X1,X1)),ld(X1,X1)) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
inference(superposition,[status(thm)],[c_194,c_258]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i] : mult(rd(ld(X0,X0),rd(X1,X0)),rd(X1,X0)) = mult(ld(X0,X0),ld(X0,X0)),
inference(superposition,[status(thm)],[c_89,c_258]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mult(rd(mult(X0,mult(X0,ld(X0,ld(X1,X1)))),rd(X2,X3)),rd(X2,X3)) = mult(rd(X0,rd(X4,X1)),mult(rd(rd(X4,X1),X3),X3)),
inference(superposition,[status(thm)],[c_258,c_92]) ).
tcf(c_278,plain,
! [X0: $i] : mult(X0,mult(X0,ld(X0,ld(X0,X0)))) = rd(X0,ld(X0,X0)),
inference(demodulation,[status(thm)],[c_175,c_264]) ).
tcf(c_279,plain,
! [X0: $i] : rd(X0,ld(X0,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_278,c_89,c_159]) ).
tcf(c_301,plain,
! [X0: $i,X1: $i] : mult(rd(X0,ld(X1,X1)),ld(X1,X1)) = mult(ld(X0,X0),mult(rd(X0,X1),X1)),
inference(superposition,[status(thm)],[c_194,c_217]) ).
tcf(c_418,plain,
! [X0: $i] : mult(rd(ld(X0,X0),ld(X0,X0)),ld(X0,X0)) = mult(ld(X0,X0),ld(X0,X0)),
inference(superposition,[status(thm)],[c_89,c_264]) ).
tcf(c_458,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,ld(rd(X1,X0),rd(X1,X0)))) = mult(ld(X0,X0),ld(X0,X0)),
inference(demodulation,[status(thm)],[c_266,c_201]) ).
tcf(c_463,plain,
! [X0: $i] : mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))) = mult(ld(X0,X0),ld(X0,X0)),
inference(superposition,[status(thm)],[c_194,c_458]) ).
tcf(c_471,plain,
! [X0: $i] : mult(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(light_normalisation,[status(thm)],[c_463,c_199]) ).
tcf(c_482,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))) = mult(rd(mult(X0,X1),X2),X2),
inference(superposition,[status(thm)],[c_279,c_92]) ).
tcf(c_485,plain,
! [X0: $i,X1: $i] : mult(ld(X0,X0),mult(rd(X0,ld(X1,X1)),ld(X1,X1))) = mult(rd(X0,X1),X1),
inference(superposition,[status(thm)],[c_279,c_217]) ).
tcf(c_532,plain,
! [X0: $i] : mult(rd(ld(X0,X0),ld(X0,X0)),ld(X0,X0)) = rd(ld(X0,X0),ld(X0,X0)),
inference(superposition,[status(thm)],[c_471,c_60]) ).
tcf(c_534,plain,
! [X0: $i] : rd(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(light_normalisation,[status(thm)],[c_532,c_418,c_471]) ).
tcf(c_543,plain,
! [X0: $i] : ld(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(demodulation,[status(thm)],[c_534,c_194]) ).
tcf(c_551,plain,
! [X0: $i,X1: $i] : mult(ld(X0,X0),ld(ld(X0,X0),ld(X1,X1))) = mult(rd(ld(X0,X0),X1),X1),
inference(superposition,[status(thm)],[c_543,c_201]) ).
tcf(c_557,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(mult(X0,X1),ld(X2,X2)),ld(X2,X2)) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(superposition,[status(thm)],[c_543,c_221]) ).
tcf(c_561,plain,
! [X0: $i,X1: $i] : mult(ld(X0,X0),ld(ld(X0,X0),ld(X1,X1))) = mult(X0,ld(X0,ld(X1,X1))),
inference(light_normalisation,[status(thm)],[c_551,c_201]) ).
tcf(c_563,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(mult(X0,X1),X2),X2) = mult(X0,mult(rd(X1,X2),X2)),
inference(light_normalisation,[status(thm)],[c_557,c_221,c_482]) ).
tcf(c_585,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,ld(X0,X1)),ld(X1,X1)) = mult(ld(X0,X2),ld(ld(X0,X2),X1)),
inference(superposition,[status(thm)],[c_89,c_93]) ).
tcf(c_675,plain,
! [X0: $i,X1: $i] : mult(ld(X0,X0),mult(rd(X0,ld(X1,X1)),ld(X1,X1))) = mult(rd(X0,ld(X1,X1)),ld(X1,X1)),
inference(superposition,[status(thm)],[c_543,c_301]) ).
tcf(c_699,plain,
! [X0: $i,X1: $i] : mult(rd(X0,ld(X1,X1)),ld(X1,X1)) = mult(rd(X0,X1),X1),
inference(light_normalisation,[status(thm)],[c_675,c_485]) ).
tcf(c_706,plain,
! [X0: $i,X1: $i] : mult(X0,mult(X0,ld(X0,ld(X1,X1)))) = mult(rd(X0,X1),X1),
inference(demodulation,[status(thm)],[c_264,c_699]) ).
tcf(c_707,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,X2),X2),
inference(demodulation,[status(thm)],[c_258,c_706]) ).
tcf(c_709,plain,
! [X0: $i,X1: $i] : mult(ld(X0,X0),mult(rd(X0,X1),X1)) = mult(rd(X0,X1),X1),
inference(demodulation,[status(thm)],[c_217,c_707]) ).
tcf(c_756,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,mult(X0,ld(X0,ld(X1,X1))))) = ld(X0,mult(rd(X0,X1),X1)),
inference(superposition,[status(thm)],[c_706,c_59]) ).
tcf(c_982,plain,
! [X0: $i,X1: $i] : mult(mult(rd(X0,X1),X1),X1) = mult(X0,mult(rd(X1,X1),X1)),
inference(superposition,[status(thm)],[c_60,c_563]) ).
tcf(c_1050,plain,
! [X0: $i,X1: $i] : mult(ld(rd(X0,X1),rd(X0,X1)),rd(X0,X1)) = mult(rd(rd(X0,X1),X1),X1),
inference(superposition,[status(thm)],[c_194,c_707]) ).
tcf(c_1060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(rd(X0,rd(X1,X2)),mult(rd(rd(X1,X2),X3),X3)) = mult(rd(mult(rd(X0,X2),X2),X3),X3),
inference(superposition,[status(thm)],[c_707,c_563]) ).
tcf(c_1087,plain,
! [X0: $i,X1: $i] : mult(mult(rd(X0,X1),X1),X1) = mult(X0,X1),
inference(demodulation,[status(thm)],[c_982,c_194,c_200]) ).
tcf(c_1088,plain,
! [X0: $i,X1: $i] : mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(ld(X0,X0),X1),
inference(superposition,[status(thm)],[c_201,c_1087]) ).
tcf(c_1091,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(rd(X1,X2),X2)),X2) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_563,c_1087]) ).
tcf(c_1121,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,ld(X0,ld(X1,X1))),mult(rd(X1,X2),X2)) = mult(rd(mult(ld(X0,X0),X1),X2),X2),
inference(superposition,[status(thm)],[c_1088,c_563]) ).
tcf(c_1197,plain,
! [X0: $i,X1: $i] : mult(X0,mult(X0,ld(X0,ld(X0,ld(X1,X1))))) = ld(X0,mult(rd(X0,X1),X1)),
inference(demodulation,[status(thm)],[c_756,c_59]) ).
tcf(c_1367,plain,
! [X0: $i,X1: $i] : mult(rd(rd(X0,X1),X1),X1) = rd(X0,X1),
inference(demodulation,[status(thm)],[c_1050,c_200]) ).
tcf(c_1385,plain,
! [X0: $i,X1: $i] : mult(rd(rd(X0,ld(X1,X1)),X1),X1) = rd(X0,ld(X1,X1)),
inference(superposition,[status(thm)],[c_1367,c_699]) ).
tcf(c_2477,plain,
! [X0: $i,X1: $i] : mult(ld(X0,X1),ld(ld(X0,X1),X0)) = X0,
inference(superposition,[status(thm)],[c_89,c_585]) ).
tcf(c_2527,plain,
! [X0: $i] : ld(ld(X0,X0),X0) = X0,
inference(demodulation,[status(thm)],[c_198,c_2477]) ).
tcf(c_2895,plain,
! [X0: $i] : mult(rd(ld(X0,X0),ld(X0,ld(X0,X0))),ld(X0,ld(X0,X0))) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[status(thm)],[c_190,c_1087]) ).
tcf(c_2903,plain,
! [X0: $i] : mult(rd(ld(X0,X0),ld(X0,ld(X0,X0))),ld(X0,ld(X0,X0))) = ld(X0,X0),
inference(light_normalisation,[status(thm)],[c_2895,c_159]) ).
tcf(c_2956,plain,
! [X0: $i] : mult(X0,ld(X0,ld(ld(X0,ld(X0,X0)),ld(X0,ld(X0,X0))))) = ld(X0,X0),
inference(demodulation,[status(thm)],[c_2903,c_201]) ).
tcf(c_2967,plain,
! [X0: $i] : mult(rd(X0,ld(X0,ld(X0,X0))),ld(X0,ld(X0,X0))) = mult(X0,ld(X0,X0)),
inference(superposition,[status(thm)],[c_2956,c_706]) ).
tcf(c_2971,plain,
! [X0: $i] : mult(rd(X0,ld(X0,ld(X0,X0))),ld(X0,ld(X0,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_2967,c_89,c_190]) ).
tcf(c_2976,plain,
! [X0: $i] : rd(ld(X0,X0),ld(X0,ld(X0,X0))) = X0,
inference(demodulation,[status(thm)],[c_190,c_2971]) ).
tcf(c_3019,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(superposition,[status(thm)],[c_2527,c_93]) ).
tcf(c_3058,plain,
! [X0: $i,X1: $i,X2: $i] : mult(ld(ld(X0,X1),X2),ld(ld(ld(X0,X1),X2),X0)) = mult(X0,ld(X0,X0)),
inference(superposition,[status(thm)],[c_2477,c_585]) ).
tcf(c_3078,plain,
! [X0: $i,X1: $i,X2: $i] : mult(ld(ld(X0,X1),X2),ld(ld(ld(X0,X1),X2),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3058,c_89]) ).
tcf(c_3703,plain,
! [X0: $i,X1: $i] : mult(ld(X0,X1),ld(ld(X0,X1),ld(X0,X0))) = ld(X0,X0),
inference(superposition,[status(thm)],[c_2527,c_3078]) ).
tcf(c_3802,plain,
! [X0: $i,X1: $i] : mult(ld(ld(X0,X1),ld(X0,X1)),X0) = mult(ld(X0,X0),X0),
inference(superposition,[status(thm)],[c_3703,c_1088]) ).
tcf(c_3807,plain,
! [X0: $i,X1: $i] : mult(ld(ld(X0,X1),ld(X0,X1)),X0) = X0,
inference(light_normalisation,[status(thm)],[c_3802,c_200]) ).
tcf(c_4754,plain,
! [X0: $i,X1: $i] : mult(ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1))),X0) = X0,
inference(superposition,[status(thm)],[c_59,c_3807]) ).
tcf(c_5478,plain,
! [X0: $i,X1: $i] : mult(ld(X0,X0),ld(X0,X1)) = ld(X0,X1),
inference(superposition,[status(thm)],[c_2477,c_4754]) ).
tcf(c_5480,plain,
! [X0: $i,X1: $i,X2: $i] : mult(ld(X0,X0),ld(ld(X0,X1),X2)) = ld(ld(X0,X1),X2),
inference(superposition,[status(thm)],[c_3078,c_4754]) ).
tcf(c_5509,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,ld(X1,X1))) = ld(ld(X0,X0),ld(X1,X1)),
inference(demodulation,[status(thm)],[c_561,c_5480]) ).
tcf(c_5614,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,ld(X0,X1)),X2) = ld(ld(X0,X0),mult(X1,X2)),
inference(superposition,[status(thm)],[c_5480,c_93]) ).
tcf(c_5620,plain,
! [X0: $i,X1: $i] : mult(mult(X0,ld(X0,X1)),ld(X1,X1)) = ld(ld(X0,X0),X1),
inference(superposition,[status(thm)],[c_5480,c_585]) ).
tcf(c_5640,plain,
! [X0: $i,X1: $i,X2: $i] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = ld(ld(X0,X0),X2),
inference(demodulation,[status(thm)],[c_585,c_5620]) ).
tcf(c_6234,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(ld(X0,X0),ld(ld(X0,X0),X1)),X2) = ld(mult(X0,ld(X0,ld(X0,X0))),mult(X1,X2)),
inference(superposition,[status(thm)],[c_5509,c_5614]) ).
tcf(c_6238,plain,
! [X0: $i,X1: $i] : mult(mult(X0,ld(X0,ld(X1,X1))),X1) = ld(ld(X0,X0),X1),
inference(superposition,[status(thm)],[c_200,c_5614]) ).
tcf(c_6242,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,ld(X0,ld(X1,X1))),mult(rd(X1,X2),X2)) = ld(ld(X0,X0),mult(rd(X1,X2),X2)),
inference(superposition,[status(thm)],[c_709,c_5614]) ).
tcf(c_6248,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,ld(X0,rd(rd(X1,X2),X2))),X2) = ld(ld(X0,X0),rd(X1,X2)),
inference(superposition,[status(thm)],[c_1367,c_5614]) ).
tcf(c_6331,plain,
! [X0: $i,X1: $i] : mult(ld(X0,X0),X1) = ld(ld(X0,X0),X1),
inference(light_normalisation,[status(thm)],[c_6238,c_1088]) ).
tcf(c_6339,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(mult(ld(X0,X0),X1),X2),X2) = ld(ld(X0,X0),mult(rd(X1,X2),X2)),
inference(light_normalisation,[status(thm)],[c_6242,c_1121]) ).
tcf(c_6340,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(light_normalisation,[status(thm)],[c_6234,c_159,c_3019,c_5614]) ).
tcf(c_6830,plain,
! [X0: $i,X1: $i,X2: $i] : mult(ld(X0,X0),rd(X1,X2)) = mult(X0,ld(X0,rd(X1,X2))),
inference(demodulation,[status(thm)],[c_6248,c_1367,c_6331,c_6340]) ).
tcf(c_6841,plain,
! [X0: $i,X1: $i] : mult(ld(X0,X0),X1) = mult(X0,ld(X0,X1)),
inference(superposition,[status(thm)],[c_2976,c_6830]) ).
tcf(c_6858,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = ld(ld(X0,X0),X1),
inference(demodulation,[status(thm)],[c_6331,c_6841]) ).
tcf(c_6859,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,ld(X0,X1))) = ld(X0,X1),
inference(demodulation,[status(thm)],[c_5478,c_6841]) ).
tcf(c_6867,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,ld(X1,X1))) = ld(X0,mult(rd(X0,X1),X1)),
inference(demodulation,[status(thm)],[c_1197,c_6859]) ).
tcf(c_6944,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(mult(X0,ld(X0,X1)),X2),X2) = ld(ld(X0,X0),mult(rd(X1,X2),X2)),
inference(light_normalisation,[status(thm)],[c_6339,c_6841]) ).
tcf(c_6945,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(rd(ld(X0,X1),X2),X2)) = mult(X0,ld(X0,mult(rd(X1,X2),X2))),
inference(demodulation,[status(thm)],[c_6944,c_563,c_6858]) ).
tcf(c_6964,plain,
! [X0: $i,X1: $i] : mult(X0,mult(rd(ld(X0,X1),X1),X1)) = mult(X0,ld(X0,mult(ld(X1,X1),X1))),
inference(superposition,[status(thm)],[c_194,c_6945]) ).
tcf(c_7705,plain,
! [X0: $i,X1: $i,X2: $i] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,X2)),
inference(demodulation,[status(thm)],[c_5640,c_6858]) ).
tcf(c_8331,plain,
! [X0: $i,X1: $i] : mult(X0,mult(rd(ld(X0,X1),X1),X1)) = mult(X0,ld(X0,X1)),
inference(demodulation,[status(thm)],[c_6964,c_89,c_6841]) ).
tcf(c_8348,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,mult(rd(ld(X0,X1),X1),X1))) = ld(X0,mult(X0,ld(X0,X1))),
inference(superposition,[status(thm)],[c_8331,c_59]) ).
tcf(c_8389,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,mult(X0,X1))) = mult(X0,X1),
inference(superposition,[status(thm)],[c_89,c_6340]) ).
tcf(c_8393,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,ld(X0,mult(ld(X0,X1),X2))) = mult(ld(X0,X1),X2),
inference(superposition,[status(thm)],[c_6859,c_6340]) ).
tcf(c_8399,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(X0,ld(X0,X1))),X2) = mult(X0,ld(X0,mult(mult(X0,X1),X2))),
inference(superposition,[status(thm)],[c_59,c_6340]) ).
tcf(c_8401,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(X0,ld(X0,ld(X1,X1)))),X2) = mult(X0,ld(X0,mult(mult(rd(X0,X1),X1),X2))),
inference(superposition,[status(thm)],[c_6867,c_6340]) ).
tcf(c_8441,plain,
! [X0: $i,X1: $i] : mult(X0,mult(X0,ld(X0,X1))) = mult(X0,X1),
inference(light_normalisation,[status(thm)],[c_8389,c_59]) ).
tcf(c_8443,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,ld(X0,mult(mult(rd(X0,X1),X1),X2))) = mult(mult(rd(X0,X1),X1),X2),
inference(light_normalisation,[status(thm)],[c_8401,c_706]) ).
tcf(c_8457,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(demodulation,[status(thm)],[c_706,c_8441]) ).
tcf(c_8471,plain,
! [X0: $i,X1: $i] : mult(mult(X0,ld(X1,X1)),X1) = mult(X0,X1),
inference(demodulation,[status(thm)],[c_1087,c_8457]) ).
tcf(c_8473,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X1,X1)) = rd(mult(X0,X1),X1),
inference(demodulation,[status(thm)],[c_60,c_8457]) ).
tcf(c_8474,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,ld(X2,X2)),
inference(demodulation,[status(thm)],[c_707,c_8457]) ).
tcf(c_8478,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(X1,ld(X2,X2))),X2) = mult(mult(X0,X1),X2),
inference(demodulation,[status(thm)],[c_1091,c_8457]) ).
tcf(c_8479,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(mult(X0,X1),X2),X2) = mult(X0,mult(X1,ld(X2,X2))),
inference(demodulation,[status(thm)],[c_563,c_8457]) ).
tcf(c_8482,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),ld(X1,X1)) = rd(X0,X1),
inference(demodulation,[status(thm)],[c_1367,c_8457]) ).
tcf(c_8486,plain,
! [X0: $i,X1: $i] : mult(rd(X0,ld(X1,X1)),ld(X1,X1)) = rd(X0,ld(X1,X1)),
inference(demodulation,[status(thm)],[c_1385,c_8457]) ).
tcf(c_8615,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),ld(X1,X1)) = rd(mult(X0,ld(X1,X1)),X1),
inference(superposition,[status(thm)],[c_8457,c_8473]) ).
tcf(c_8634,plain,
! [X0: $i,X1: $i] : rd(mult(X0,ld(X1,X1)),X1) = rd(X0,X1),
inference(light_normalisation,[status(thm)],[c_8615,c_8482]) ).
tcf(c_8727,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,ld(rd(X1,X2),rd(X1,X2))) = mult(X0,ld(X2,X2)),
inference(demodulation,[status(thm)],[c_8474,c_8457]) ).
tcf(c_8744,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,ld(mult(X1,ld(X2,X2)),mult(X1,ld(X2,X2)))) = mult(X0,ld(X2,X2)),
inference(superposition,[status(thm)],[c_8473,c_8727]) ).
tcf(c_8745,plain,
! [X0: $i,X1: $i] : mult(X0,ld(ld(X1,X1),ld(X1,X1))) = mult(X0,ld(X1,X1)),
inference(superposition,[status(thm)],[c_194,c_8727]) ).
tcf(c_8788,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,X1),ld(X2,X2)) = mult(X0,mult(X1,ld(X2,X2))),
inference(demodulation,[status(thm)],[c_8479,c_8457]) ).
tcf(c_8794,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,ld(X1,X1)),ld(X2,X2)) = mult(rd(X0,X1),mult(X1,ld(X2,X2))),
inference(superposition,[status(thm)],[c_8457,c_8788]) ).
tcf(c_8818,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(X0,mult(X1,ld(X2,X2))),X2) = rd(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_8788,c_8634]) ).
tcf(c_8928,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X1,X1)) = rd(X0,ld(X1,X1)),
inference(demodulation,[status(thm)],[c_8486,c_8457,c_8745]) ).
tcf(c_9060,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(X0,ld(mult(X1,ld(X2,X2)),mult(X1,ld(X2,X2)))),X2) = rd(mult(rd(X0,mult(X1,ld(X2,X2))),X1),X2),
inference(superposition,[status(thm)],[c_8457,c_8818]) ).
tcf(c_9067,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(X0,mult(X1,ld(X1,ld(X2,X2)))),X2) = rd(mult(X0,ld(X1,X1)),X2),
inference(superposition,[status(thm)],[c_6841,c_8818]) ).
tcf(c_9091,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(rd(X0,mult(X1,ld(X2,X2))),X1),X2) = rd(mult(X0,ld(X2,X2)),X2),
inference(light_normalisation,[status(thm)],[c_9060,c_8744]) ).
tcf(c_9427,plain,
! [X0: $i,X1: $i] : mult(ld(X0,X1),ld(X1,X1)) = ld(X0,X1),
inference(demodulation,[status(thm)],[c_8348,c_59,c_6859,c_8393,c_8457]) ).
tcf(c_9484,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,ld(X0,mult(mult(X0,ld(X1,X1)),X2))) = mult(mult(X0,ld(X1,X1)),X2),
inference(light_normalisation,[status(thm)],[c_8443,c_8457]) ).
tcf(c_11283,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,X1),mult(X1,ld(X2,X2))) = mult(X0,mult(X1,ld(X1,ld(X2,X2)))),
inference(demodulation,[status(thm)],[c_8794,c_6841,c_8788]) ).
tcf(c_12594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : rd(mult(X0,mult(X1,ld(X1,ld(X2,X2)))),X2) = rd(mult(X0,ld(ld(X1,X3),ld(X1,X3))),X2),
inference(superposition,[status(thm)],[c_7705,c_9067]) ).
tcf(c_12637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : rd(mult(X0,ld(ld(X1,X2),ld(X1,X2))),X3) = rd(mult(X0,ld(X1,X1)),X3),
inference(light_normalisation,[status(thm)],[c_12594,c_9067]) ).
tcf(c_13238,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(rd(X0,mult(X1,ld(X2,X2))),X1),X2) = rd(X0,X2),
inference(demodulation,[status(thm)],[c_9091,c_8634]) ).
tcf(c_13285,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(rd(X0,ld(X1,X2)),ld(X1,X2)),X2) = rd(X0,X2),
inference(superposition,[status(thm)],[c_9427,c_13238]) ).
tcf(c_13429,plain,
! [X0: $i,X1: $i,X2: $i] : rd(mult(X0,ld(X1,X1)),X2) = rd(X0,X2),
inference(demodulation,[status(thm)],[c_13285,c_8457,c_12637]) ).
tcf(c_13483,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,ld(X1,X1)),ld(X2,X2)) = rd(X0,ld(X2,X2)),
inference(superposition,[status(thm)],[c_13429,c_8928]) ).
tcf(c_13606,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(X1,ld(X1,ld(X2,X2)))) = mult(X0,ld(X2,X2)),
inference(demodulation,[status(thm)],[c_268,c_1060,c_8399,c_8457,c_8727,c_8788,c_8928,c_9484,c_11283,c_13483]) ).
tcf(c_13607,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,X1),mult(X1,ld(X2,X2))) = mult(X0,ld(X2,X2)),
inference(demodulation,[status(thm)],[c_11283,c_13606]) ).
tcf(c_14028,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(rd(X0,X1),X1),X2) = mult(mult(X0,ld(X2,X2)),X2),
inference(superposition,[status(thm)],[c_13607,c_8478]) ).
tcf(c_14030,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,ld(X1,X1)),X1) = mult(mult(X0,ld(X2,X2)),X1),
inference(light_normalisation,[status(thm)],[c_14028,c_8457]) ).
tcf(c_14031,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,ld(X1,X1)),X2) = mult(X0,X2),
inference(light_normalisation,[status(thm)],[c_14030,c_8471]) ).
tcf(c_14138,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,ld(X0,ld(X1,X1))),X2) = mult(ld(X0,X0),X2),
inference(superposition,[status(thm)],[c_6841,c_14031]) ).
tcf(c_15615,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,ld(X0,mult(X1,ld(X1,X2)))) = mult(X0,ld(X0,X2)),
inference(demodulation,[status(thm)],[c_14138,c_6340,c_6841]) ).
tcf(c_15646,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(X0,ld(X0,X1))) = mult(X0,mult(X2,ld(X2,X1))),
inference(superposition,[status(thm)],[c_15615,c_8441]) ).
tcf(c_15675,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(X1,ld(X1,X2))) = mult(X0,X2),
inference(light_normalisation,[status(thm)],[c_15646,c_8441]) ).
tcf(c_15695,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_90,c_15675]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP683-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 15:44:23 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42 Running UEQ theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 5.00/1.75 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 5.00/1.75 % SZS status Started for theBenchmark.p
% 5.00/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 5.00/1.75
% 5.00/1.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.00/1.75
% 5.00/1.75 % ------ iProver source info
% 5.00/1.75
% 5.00/1.75 % git: date: 2026-07-19 20:42:38 +0200
% 5.00/1.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.00/1.75 % git: non_committed_changes: false
% 5.00/1.75
% 5.00/1.75 % ------ Parsing...% successful
% 5.00/1.75
% 5.00/1.75
% 5.00/1.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.00/1.75
% 5.00/1.75 % ------ Preprocessing... sup_sim: 6 sf_s rm: 0 0s sf_e pe_s pe_e %
% 5.00/1.75
% 5.00/1.75 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 5.00/1.75
% 5.00/1.75 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 5.00/1.75 % ------ Proving...
% 5.00/1.75 % ------ Problem Properties
% 5.00/1.75
% 5.00/1.75 %
% 5.00/1.75 % clauses 8
% 5.00/1.75 % conjectures 0
% 5.00/1.75 % EPR 0
% 5.00/1.75 % Horn 8
% 5.00/1.75 % unary 8
% 5.00/1.75 % binary 0
% 5.00/1.75 % lits 8
% 5.00/1.75 % lits eq 8
% 5.00/1.75 % fd_pure 0
% 5.00/1.75 % fd_pseudo 0
% 5.00/1.75 % fd_cond 0
% 5.00/1.75 % fd_pseudo_cond 0
% 5.00/1.75 % AC symbols 0
% 5.00/1.75
% 5.00/1.75 % ------ Input Options Time Limit: Unbounded
% 5.00/1.75
% 5.00/1.75
% 5.00/1.75 % ------
% 5.00/1.75 % Current options:
% 5.00/1.75 % ------
% 5.00/1.75
% 5.00/1.75
% 5.00/1.75 %
% 5.00/1.75
% 5.00/1.75 % ------ Proving...
% 5.00/1.75 %
% 5.00/1.75
% 5.00/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 5.00/1.75
% 5.00/1.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.00/1.75
% 5.00/1.75
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