%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP682+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 : Tue Sep 29 10:15:35 AM UTC 2026
% Result : Theorem 11.13s 2.20s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 10
% Syntax : Number of formulae : 184 ( 167 unt; 2 def)
% Number of atoms : 201 ( 179 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 34 ( 17 ~; 13 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 461 ( 0 sgn 458 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ld(X0,mult(X0,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0] : rd(mult(X0,X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = ld(X1,mult(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : mult(rd(X1,X0),X0) = rd(mult(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0,X1,X2,X3] : ld(ld(X3,X2),mult(ld(X3,X2),mult(X1,X0))) = mult(ld(X3,mult(X3,X1)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X0,X1,X2,X3] : rd(mult(mult(X3,X2),rd(X1,X0)),rd(X1,X0)) = mult(X3,rd(mult(X2,X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X0,X1] : ld(X1,mult(X1,ld(X0,X0))) = rd(mult(rd(X1,X1),X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f8,conjecture,
! [X0,X1,X2] :
( ld(ld(X0,X1),mult(ld(X0,X1),X2)) = ld(X0,mult(X0,X2))
& ld(rd(X0,X1),mult(rd(X0,X1),X2)) = ld(X0,mult(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f9,negated_conjecture,
~ ! [X0,X1,X2] :
( ld(ld(X0,X1),mult(ld(X0,X1),X2)) = ld(X0,mult(X0,X2))
& ld(rd(X0,X1),mult(rd(X0,X1),X2)) = ld(X0,mult(X0,X2)) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
? [X0,X1,X2] :
( ld(ld(X0,X1),mult(ld(X0,X1),X2)) != ld(X0,mult(X0,X2))
| ld(X0,mult(X0,X2)) != ld(rd(X0,X1),mult(rd(X0,X1),X2)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f11,plain,
( ld(ld(sK0,sK1),mult(ld(sK0,sK1),sK2)) != ld(sK0,mult(sK0,sK2))
| ld(sK0,mult(sK0,sK2)) != ld(rd(sK0,sK1),mult(rd(sK0,sK1),sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f10]) ).
fof(f12,plain,
! [X0] : ld(X0,mult(X0,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
! [X0] : rd(mult(X0,X0),X0) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f14,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = ld(X1,mult(X1,X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f15,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = rd(mult(X1,X0),X0),
inference(cnf_transformation,[],[f4]) ).
fof(f16,plain,
! [X2,X3,X0,X1] : ld(ld(X3,X2),mult(ld(X3,X2),mult(X1,X0))) = mult(ld(X3,mult(X3,X1)),X0),
inference(cnf_transformation,[],[f5]) ).
fof(f17,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X3,X2),rd(X1,X0)),rd(X1,X0)) = mult(X3,rd(mult(X2,X0),X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f18,plain,
! [X0,X1] : ld(X1,mult(X1,ld(X0,X0))) = rd(mult(rd(X1,X1),X0),X0),
inference(cnf_transformation,[],[f7]) ).
fof(f19,plain,
( ld(ld(sK0,sK1),mult(ld(sK0,sK1),sK2)) != ld(sK0,mult(sK0,sK2))
| ld(sK0,mult(sK0,sK2)) != ld(rd(sK0,sK1),mult(rd(sK0,sK1),sK2)) ),
inference(cnf_transformation,[],[f11]) ).
fof(f21,definition,
( spl3_1
<=> ld(sK0,mult(sK0,sK2)) = ld(rd(sK0,sK1),mult(rd(sK0,sK1),sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f22,plain,
( ld(sK0,mult(sK0,sK2)) != ld(rd(sK0,sK1),mult(rd(sK0,sK1),sK2))
| spl3_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f24,definition,
( spl3_2
<=> ld(ld(sK0,sK1),mult(ld(sK0,sK1),sK2)) = ld(sK0,mult(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f25,plain,
( ld(ld(sK0,sK1),mult(ld(sK0,sK1),sK2)) != ld(sK0,mult(sK0,sK2))
| spl3_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f26,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f19,f24,f21]) ).
fof(f27,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(forward_demodulation,[],[f13,f15]) ).
fof(f28,plain,
! [X0] : mult(X0,ld(X0,X0)) = X0,
inference(forward_demodulation,[],[f12,f14]) ).
fof(f29,plain,
( ld(sK0,mult(sK0,sK2)) != mult(rd(sK0,sK1),ld(rd(sK0,sK1),sK2))
| spl3_1 ),
inference(forward_demodulation,[],[f22,f14]) ).
fof(f30,plain,
( mult(rd(sK0,sK1),ld(rd(sK0,sK1),sK2)) != mult(sK0,ld(sK0,sK2))
| spl3_1 ),
inference(forward_demodulation,[],[f29,f14]) ).
fof(f31,plain,
! [X2,X3,X0,X1,X4,X5] : mult(ld(ld(X0,X3),mult(ld(X0,X3),X4)),X5) = ld(mult(ld(X0,mult(X0,X1)),X2),mult(mult(ld(X0,mult(X0,X1)),X2),mult(X4,X5))),
inference(superposition,[],[f16,f16]) ).
fof(f34,plain,
! [X2,X3,X0,X1,X4,X5] : mult(ld(ld(X0,X3),mult(ld(X0,X3),X4)),X5) = mult(mult(ld(X0,mult(X0,X1)),X2),ld(mult(ld(X0,mult(X0,X1)),X2),mult(X4,X5))),
inference(forward_demodulation,[],[f31,f14]) ).
fof(f36,plain,
! [X2,X3,X0,X1,X4,X5] : mult(ld(ld(X0,X3),mult(ld(X0,X3),X4)),X5) = mult(mult(mult(X0,ld(X0,X1)),X2),ld(mult(mult(X0,ld(X0,X1)),X2),mult(X4,X5))),
inference(forward_demodulation,[],[f34,f14]) ).
fof(f37,plain,
! [X2,X3,X0,X1,X4,X5] : mult(mult(mult(X0,ld(X0,X1)),X2),ld(mult(mult(X0,ld(X0,X1)),X2),mult(X4,X5))) = mult(mult(ld(X0,X3),ld(ld(X0,X3),X4)),X5),
inference(forward_demodulation,[],[f36,f14]) ).
fof(f41,plain,
! [X2,X0,X1] : mult(X0,rd(mult(ld(X0,X0),X2),X2)) = rd(mult(X0,rd(X1,X2)),rd(X1,X2)),
inference(superposition,[],[f17,f28]) ).
fof(f42,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,X0),rd(mult(X0,X2),X2)),
inference(superposition,[],[f17,f27]) ).
fof(f45,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,X0),mult(rd(X0,X2),X2)),
inference(forward_demodulation,[],[f42,f15]) ).
fof(f46,plain,
! [X2,X0,X1] : mult(X0,rd(mult(ld(X0,X0),X2),X2)) = mult(rd(X0,rd(X1,X2)),rd(X1,X2)),
inference(forward_demodulation,[],[f41,f15]) ).
fof(f48,plain,
! [X2,X0,X1] : mult(rd(X0,X0),mult(rd(X0,X2),X2)) = mult(rd(X0,rd(X1,X2)),rd(X1,X2)),
inference(forward_demodulation,[],[f45,f15]) ).
fof(f49,plain,
! [X2,X0,X1] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(ld(X0,X0),X2),X2)),
inference(forward_demodulation,[],[f46,f15]) ).
fof(f52,plain,
! [X0,X1] : mult(rd(X0,X0),X0) = mult(rd(X0,rd(X1,X0)),rd(X1,X0)),
inference(superposition,[],[f48,f27]) ).
fof(f65,plain,
! [X0,X1] : mult(rd(X0,rd(X1,X0)),rd(X1,X0)) = X0,
inference(forward_demodulation,[],[f52,f27]) ).
fof(f75,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f14,f28]) ).
fof(f80,plain,
! [X2,X3,X0,X1] : mult(ld(X0,mult(X0,X2)),X3) = ld(mult(X0,ld(X0,X1)),mult(mult(X0,ld(X0,X1)),mult(X2,X3))),
inference(superposition,[],[f16,f14]) ).
fof(f81,plain,
! [X2,X3,X0,X1] : mult(ld(X0,mult(X0,X2)),X3) = mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))),
inference(superposition,[],[f16,f14]) ).
fof(f82,plain,
! [X2,X3,X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(forward_demodulation,[],[f81,f14]) ).
fof(f83,plain,
! [X2,X3,X0,X1] : mult(ld(X0,mult(X0,X2)),X3) = mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),mult(X2,X3))),
inference(forward_demodulation,[],[f80,f14]) ).
fof(f85,plain,
! [X2,X3,X0,X1] : mult(mult(X0,ld(X0,X2)),X3) = mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),mult(X2,X3))),
inference(forward_demodulation,[],[f83,f14]) ).
fof(f124,plain,
! [X0,X1] : mult(rd(X0,X0),mult(rd(X0,X1),X1)) = mult(X0,mult(rd(ld(X0,X0),X1),X1)),
inference(superposition,[],[f48,f49]) ).
fof(f157,plain,
! [X0] : rd(X0,ld(X0,X0)) = mult(rd(X0,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f15,f28]) ).
fof(f167,plain,
! [X2,X3,X0,X1] : mult(X0,rd(mult(X1,X3),X3)) = mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)),
inference(superposition,[],[f17,f15]) ).
fof(f171,plain,
! [X2,X3,X0,X1] : mult(X2,rd(mult(X3,X1),X1)) = rd(mult(mult(X2,X3),mult(rd(X0,X1),X1)),mult(rd(X0,X1),X1)),
inference(superposition,[],[f17,f15]) ).
fof(f172,plain,
! [X2,X3,X0,X1] : mult(X2,rd(mult(X3,X1),X1)) = mult(rd(mult(X2,X3),mult(rd(X0,X1),X1)),mult(rd(X0,X1),X1)),
inference(forward_demodulation,[],[f171,f15]) ).
fof(f173,plain,
! [X2,X3,X0,X1] : mult(X0,mult(rd(X1,X3),X3)) = mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)),
inference(forward_demodulation,[],[f167,f15]) ).
fof(f177,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X2,X3),mult(rd(X0,X1),X1)),mult(rd(X0,X1),X1)) = mult(X2,mult(rd(X3,X1),X1)),
inference(forward_demodulation,[],[f172,f15]) ).
fof(f228,plain,
! [X0] : rd(X0,X0) = ld(X0,mult(X0,ld(X0,X0))),
inference(superposition,[],[f18,f27]) ).
fof(f238,plain,
! [X2,X3,X0,X1] : mult(X2,rd(mult(X3,X1),X1)) = rd(mult(mult(X2,X3),ld(X0,mult(X0,ld(X1,X1)))),ld(X0,mult(X0,ld(X1,X1)))),
inference(superposition,[],[f17,f18]) ).
fof(f239,plain,
! [X2,X3,X0,X1] : mult(X2,rd(mult(X3,X1),X1)) = mult(rd(mult(X2,X3),ld(X0,mult(X0,ld(X1,X1)))),ld(X0,mult(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f238,f15]) ).
fof(f249,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(forward_demodulation,[],[f228,f14]) ).
fof(f250,plain,
! [X2,X3,X0,X1] : mult(X2,rd(mult(X3,X1),X1)) = mult(rd(mult(X2,X3),mult(X0,ld(X0,ld(X1,X1)))),mult(X0,ld(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f239,f14]) ).
fof(f253,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(forward_demodulation,[],[f249,f75]) ).
fof(f254,plain,
! [X2,X3,X0,X1] : mult(X2,mult(rd(X3,X1),X1)) = mult(rd(mult(X2,X3),mult(X0,ld(X0,ld(X1,X1)))),mult(X0,ld(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f250,f15]) ).
fof(f258,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(ld(X0,X0),X1),X1),
inference(superposition,[],[f18,f253]) ).
fof(f260,plain,
! [X2,X0,X1] : mult(rd(X0,rd(X2,X1)),rd(X2,X1)) = mult(ld(X0,X0),mult(rd(X0,X1),X1)),
inference(superposition,[],[f48,f253]) ).
fof(f261,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(superposition,[],[f27,f253]) ).
fof(f263,plain,
! [X0,X1] : mult(rd(X1,ld(X0,X0)),ld(X0,X0)) = mult(rd(X1,X1),mult(rd(X1,X0),X0)),
inference(superposition,[],[f48,f253]) ).
fof(f265,plain,
! [X2,X0,X1] : mult(X1,rd(mult(X2,X0),X0)) = rd(mult(mult(X1,X2),ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f17,f253]) ).
fof(f269,plain,
! [X2,X0,X1] : mult(X1,rd(mult(X2,X0),X0)) = mult(rd(mult(X1,X2),ld(X0,X0)),ld(X0,X0)),
inference(forward_demodulation,[],[f265,f15]) ).
fof(f271,plain,
! [X0,X1] : mult(rd(X1,ld(X0,X0)),ld(X0,X0)) = mult(ld(X1,X1),mult(rd(X1,X0),X0)),
inference(forward_demodulation,[],[f263,f253]) ).
fof(f273,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = mult(rd(ld(X0,X0),X1),X1),
inference(forward_demodulation,[],[f258,f15]) ).
fof(f275,plain,
! [X2,X0,X1] : mult(rd(mult(X1,X2),ld(X0,X0)),ld(X0,X0)) = mult(X1,mult(rd(X2,X0),X0)),
inference(forward_demodulation,[],[f269,f15]) ).
fof(f277,plain,
! [X0,X1] : mult(rd(ld(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f273,f14]) ).
fof(f305,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(superposition,[],[f85,f28]) ).
fof(f382,plain,
! [X2,X0,X1] : mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(mult(X1,ld(X1,ld(X0,X0))),X0),
inference(superposition,[],[f82,f261]) ).
fof(f393,plain,
! [X2,X0,X1] : mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(X1,ld(X1,mult(ld(X0,X0),X0))),
inference(forward_demodulation,[],[f382,f305]) ).
fof(f399,plain,
! [X2,X0,X1] : mult(X1,ld(X1,X0)) = mult(ld(X1,X2),ld(ld(X1,X2),X0)),
inference(forward_demodulation,[],[f393,f261]) ).
fof(f420,plain,
! [X0,X1] : ld(ld(X0,X1),ld(X0,X1)) = mult(X0,ld(X0,ld(ld(X0,X1),ld(X0,X1)))),
inference(superposition,[],[f75,f399]) ).
fof(f425,plain,
! [X2,X3,X0,X1,X4] : mult(ld(X0,X2),rd(mult(ld(ld(X0,X2),X1),X4),X4)) = rd(mult(mult(X0,ld(X0,X1)),rd(X3,X4)),rd(X3,X4)),
inference(superposition,[],[f17,f399]) ).
fof(f428,plain,
! [X2,X0,X1,X4] : mult(ld(X0,X2),rd(mult(ld(ld(X0,X2),X1),X4),X4)) = mult(X0,rd(mult(ld(X0,X1),X4),X4)),
inference(forward_demodulation,[],[f425,f17]) ).
fof(f442,plain,
! [X2,X0,X1,X4] : mult(ld(X0,X2),rd(mult(ld(ld(X0,X2),X1),X4),X4)) = mult(X0,mult(rd(ld(X0,X1),X4),X4)),
inference(forward_demodulation,[],[f428,f15]) ).
fof(f449,plain,
! [X2,X0,X1,X4] : mult(ld(X0,X2),mult(rd(ld(ld(X0,X2),X1),X4),X4)) = mult(X0,mult(rd(ld(X0,X1),X4),X4)),
inference(forward_demodulation,[],[f442,f15]) ).
fof(f624,plain,
! [X2,X0,X1] : mult(rd(mult(rd(X0,X0),X1),rd(X2,X1)),rd(X2,X1)) = mult(ld(mult(rd(X0,X0),X1),mult(rd(X0,X0),X1)),mult(ld(X0,mult(X0,ld(X1,X1))),X1)),
inference(superposition,[],[f260,f18]) ).
fof(f632,plain,
! [X0,X1] : mult(X0,mult(rd(ld(X0,X0),X1),X1)) = mult(ld(X0,X0),mult(rd(X0,X1),X1)),
inference(superposition,[],[f49,f260]) ).
fof(f663,plain,
! [X0,X1] : mult(ld(X0,X0),mult(rd(X0,X1),X1)) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f632,f277]) ).
fof(f669,plain,
! [X2,X0,X1] : mult(rd(mult(rd(X0,X0),X1),rd(X2,X1)),rd(X2,X1)) = mult(ld(mult(rd(X0,X0),X1),mult(rd(X0,X0),X1)),mult(mult(X0,ld(X0,ld(X1,X1))),X1)),
inference(forward_demodulation,[],[f624,f14]) ).
fof(f688,plain,
! [X2,X0,X1] : mult(rd(mult(rd(X0,X0),X1),rd(X2,X1)),rd(X2,X1)) = mult(ld(mult(rd(X0,X0),X1),mult(rd(X0,X0),X1)),mult(X0,ld(X0,mult(ld(X1,X1),X1)))),
inference(forward_demodulation,[],[f669,f305]) ).
fof(f701,plain,
! [X2,X0,X1] : mult(rd(mult(rd(X0,X0),X1),rd(X2,X1)),rd(X2,X1)) = mult(ld(mult(rd(X0,X0),X1),mult(rd(X0,X0),X1)),mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f688,f261]) ).
fof(f709,plain,
! [X2,X0,X1] : mult(rd(mult(ld(X0,X0),X1),rd(X2,X1)),rd(X2,X1)) = mult(ld(mult(ld(X0,X0),X1),mult(ld(X0,X0),X1)),mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f701,f253]) ).
fof(f714,plain,
! [X0,X1] : mult(ld(mult(ld(X0,X0),X1),mult(ld(X0,X0),X1)),mult(X0,ld(X0,X1))) = mult(ld(X0,X0),mult(rd(X1,X1),X1)),
inference(forward_demodulation,[],[f709,f173]) ).
fof(f717,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = mult(ld(mult(ld(X0,X0),X1),mult(ld(X0,X0),X1)),mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f714,f27]) ).
fof(f741,plain,
! [X2,X0,X1] : mult(rd(X0,X0),mult(rd(mult(rd(X1,X2),X2),X2),X2)) = mult(ld(X0,mult(X0,ld(mult(rd(X1,X2),X2),mult(rd(X1,X2),X2)))),mult(rd(X1,X2),X2)),
inference(superposition,[],[f177,f18]) ).
fof(f745,plain,
! [X2,X3,X0,X1] : mult(X2,mult(rd(X3,X1),X1)) = mult(rd(mult(X2,X3),mult(ld(X0,mult(X0,ld(X1,X1))),X1)),mult(ld(X0,mult(X0,ld(X1,X1))),X1)),
inference(superposition,[],[f177,f18]) ).
fof(f747,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,X0),X0)) = mult(rd(mult(X1,X2),X0),X0),
inference(superposition,[],[f177,f27]) ).
fof(f772,plain,
! [X2,X3,X0,X1] : mult(X2,mult(rd(X3,X1),X1)) = mult(X2,mult(rd(X3,mult(ld(X0,mult(X0,ld(X1,X1))),X1)),mult(ld(X0,mult(X0,ld(X1,X1))),X1))),
inference(forward_demodulation,[],[f745,f747]) ).
fof(f776,plain,
! [X2,X0,X1] : mult(rd(X0,X0),mult(rd(mult(rd(X1,X2),X2),X2),X2)) = mult(mult(X0,ld(X0,ld(mult(rd(X1,X2),X2),mult(rd(X1,X2),X2)))),mult(rd(X1,X2),X2)),
inference(forward_demodulation,[],[f741,f14]) ).
fof(f801,plain,
! [X2,X3,X0,X1] : mult(X2,mult(rd(X3,X1),X1)) = mult(X2,mult(rd(X3,mult(mult(X0,ld(X0,ld(X1,X1))),X1)),mult(mult(X0,ld(X0,ld(X1,X1))),X1))),
inference(forward_demodulation,[],[f772,f14]) ).
fof(f803,plain,
! [X2,X0,X1] : mult(rd(X0,X0),mult(rd(mult(rd(X1,X2),X2),X2),X2)) = mult(X0,ld(X0,mult(ld(mult(rd(X1,X2),X2),mult(rd(X1,X2),X2)),mult(rd(X1,X2),X2)))),
inference(forward_demodulation,[],[f776,f305]) ).
fof(f814,plain,
! [X2,X3,X0,X1] : mult(X2,mult(rd(X3,X1),X1)) = mult(X2,mult(rd(X3,mult(X0,ld(X0,mult(ld(X1,X1),X1)))),mult(X0,ld(X0,mult(ld(X1,X1),X1))))),
inference(forward_demodulation,[],[f801,f305]) ).
fof(f815,plain,
! [X2,X0,X1] : mult(rd(X0,X0),mult(rd(mult(rd(X1,X2),X2),X2),X2)) = mult(X0,ld(X0,mult(rd(X1,X2),X2))),
inference(forward_demodulation,[],[f803,f261]) ).
fof(f822,plain,
! [X2,X3,X0,X1] : mult(X2,mult(rd(X3,X1),X1)) = mult(X2,mult(rd(X3,mult(X0,ld(X0,X1))),mult(X0,ld(X0,X1)))),
inference(forward_demodulation,[],[f814,f261]) ).
fof(f823,plain,
! [X2,X0,X1] : mult(X0,ld(X0,mult(rd(X1,X2),X2))) = mult(rd(X0,X0),mult(rd(X1,X2),mult(rd(X2,X2),X2))),
inference(forward_demodulation,[],[f815,f747]) ).
fof(f828,plain,
! [X2,X0,X1] : mult(rd(X0,X0),mult(rd(X1,X2),X2)) = mult(X0,ld(X0,mult(rd(X1,X2),X2))),
inference(forward_demodulation,[],[f823,f27]) ).
fof(f831,plain,
! [X2,X0,X1] : mult(X0,ld(X0,mult(rd(X1,X2),X2))) = mult(ld(X0,X0),mult(rd(X1,X2),X2)),
inference(forward_demodulation,[],[f828,f253]) ).
fof(f835,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,ld(X0,mult(X0,X1))),
inference(superposition,[],[f305,f28]) ).
fof(f857,plain,
! [X2,X3,X0,X1,X4] : mult(mult(X0,ld(X0,X1)),mult(rd(X2,X4),X4)) = mult(rd(mult(X0,ld(X0,mult(X1,X2))),mult(rd(X3,X4),X4)),mult(rd(X3,X4),X4)),
inference(superposition,[],[f177,f305]) ).
fof(f876,plain,
! [X2,X0,X1,X4] : mult(mult(X0,ld(X0,X1)),mult(rd(X2,X4),X4)) = mult(X0,mult(rd(ld(X0,mult(X1,X2)),X4),X4)),
inference(forward_demodulation,[],[f857,f177]) ).
fof(f896,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f835,f14]) ).
fof(f904,plain,
! [X2,X0,X1,X4] : mult(X0,mult(rd(ld(X0,mult(X1,X2)),X4),X4)) = mult(X0,ld(X0,mult(X1,mult(rd(X2,X4),X4)))),
inference(forward_demodulation,[],[f876,f305]) ).
fof(f1019,plain,
! [X0,X1] : mult(ld(mult(rd(X0,X0),X1),mult(rd(X0,X0),X1)),mult(ld(X0,mult(X0,ld(X1,X1))),X1)) = mult(rd(mult(rd(X0,X0),X1),ld(X1,X1)),ld(X1,X1)),
inference(superposition,[],[f271,f18]) ).
fof(f1026,plain,
! [X0] : rd(X0,ld(X0,X0)) = mult(ld(X0,X0),mult(rd(X0,X0),X0)),
inference(superposition,[],[f157,f271]) ).
fof(f1066,plain,
! [X0] : rd(X0,ld(X0,X0)) = mult(X0,mult(X0,ld(X0,ld(X0,X0)))),
inference(forward_demodulation,[],[f1026,f663]) ).
fof(f1072,plain,
! [X0,X1] : mult(rd(X0,X0),mult(rd(X1,X1),X1)) = mult(ld(mult(rd(X0,X0),X1),mult(rd(X0,X0),X1)),mult(ld(X0,mult(X0,ld(X1,X1))),X1)),
inference(forward_demodulation,[],[f1019,f275]) ).
fof(f1094,plain,
! [X0] : mult(X0,ld(X0,X0)) = rd(X0,ld(X0,X0)),
inference(forward_demodulation,[],[f1066,f896]) ).
fof(f1099,plain,
! [X0,X1] : mult(rd(X0,X0),mult(rd(X1,X1),X1)) = mult(ld(mult(rd(X0,X0),X1),mult(rd(X0,X0),X1)),mult(mult(X0,ld(X0,ld(X1,X1))),X1)),
inference(forward_demodulation,[],[f1072,f14]) ).
fof(f1116,plain,
! [X0] : rd(X0,ld(X0,X0)) = X0,
inference(forward_demodulation,[],[f1094,f28]) ).
fof(f1118,plain,
! [X0,X1] : mult(rd(X0,X0),mult(rd(X1,X1),X1)) = mult(ld(mult(rd(X0,X0),X1),mult(rd(X0,X0),X1)),mult(X0,ld(X0,mult(ld(X1,X1),X1)))),
inference(forward_demodulation,[],[f1099,f305]) ).
fof(f1131,plain,
! [X0,X1] : mult(rd(X0,X0),mult(rd(X1,X1),X1)) = mult(ld(mult(rd(X0,X0),X1),mult(rd(X0,X0),X1)),mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f1118,f261]) ).
fof(f1140,plain,
! [X0,X1] : mult(ld(mult(ld(X0,X0),X1),mult(ld(X0,X0),X1)),mult(X0,ld(X0,X1))) = mult(ld(X0,X0),mult(rd(X1,X1),X1)),
inference(forward_demodulation,[],[f1131,f253]) ).
fof(f1146,plain,
! [X0,X1] : mult(X0,ld(X0,mult(rd(X1,X1),X1))) = mult(ld(mult(ld(X0,X0),X1),mult(ld(X0,X0),X1)),mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f1140,f831]) ).
fof(f1151,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = mult(X0,ld(X0,mult(rd(X1,X1),X1))),
inference(forward_demodulation,[],[f1146,f717]) ).
fof(f1152,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = mult(ld(X0,X0),X1),
inference(forward_demodulation,[],[f1151,f27]) ).
fof(f1155,plain,
! [X2,X0,X1] : mult(X1,rd(mult(X2,ld(X0,X0)),ld(X0,X0))) = rd(mult(mult(X1,X2),X0),X0),
inference(superposition,[],[f17,f1116]) ).
fof(f1161,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = mult(ld(X1,X1),mult(rd(X1,ld(X0,X0)),ld(X0,X0))),
inference(superposition,[],[f260,f1116]) ).
fof(f1163,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = mult(X1,mult(X1,ld(X1,ld(ld(X0,X0),ld(X0,X0))))),
inference(forward_demodulation,[],[f1161,f663]) ).
fof(f1168,plain,
! [X2,X0,X1] : mult(rd(mult(X1,X2),X0),X0) = mult(X1,rd(mult(X2,ld(X0,X0)),ld(X0,X0))),
inference(forward_demodulation,[],[f1155,f15]) ).
fof(f1170,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = mult(X1,ld(ld(X0,X0),ld(X0,X0))),
inference(forward_demodulation,[],[f1163,f896]) ).
fof(f1174,plain,
! [X2,X0,X1] : mult(rd(mult(X1,X2),X0),X0) = mult(X1,mult(rd(X2,ld(X0,X0)),ld(X0,X0))),
inference(forward_demodulation,[],[f1168,f15]) ).
fof(f1176,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,X0),X0)) = mult(X1,mult(rd(X2,ld(X0,X0)),ld(X0,X0))),
inference(forward_demodulation,[],[f1174,f747]) ).
fof(f1195,plain,
! [X2,X3,X0,X1] : mult(ld(X0,X0),mult(rd(X1,X3),X3)) = mult(rd(mult(X0,ld(X0,X1)),mult(rd(X2,X3),X3)),mult(rd(X2,X3),X3)),
inference(superposition,[],[f177,f1152]) ).
fof(f1205,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))),
inference(superposition,[],[f28,f1152]) ).
fof(f1217,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f1205,f420]) ).
fof(f1224,plain,
! [X3,X0,X1] : mult(X0,mult(rd(ld(X0,X1),X3),X3)) = mult(ld(X0,X0),mult(rd(X1,X3),X3)),
inference(forward_demodulation,[],[f1195,f177]) ).
fof(f1247,plain,
! [X3,X0,X1] : mult(X0,mult(rd(ld(X0,X1),X3),X3)) = mult(X0,ld(X0,mult(rd(X1,X3),X3))),
inference(forward_demodulation,[],[f1224,f1152]) ).
fof(f1384,plain,
! [X2,X3,X0,X1,X4] : mult(ld(mult(X0,X1),mult(X0,X1)),mult(X0,mult(rd(X1,X2),X2))) = mult(rd(mult(X0,X1),rd(X3,mult(X4,ld(X4,ld(X2,X2))))),rd(X3,mult(X4,ld(X4,ld(X2,X2))))),
inference(superposition,[],[f260,f254]) ).
fof(f1401,plain,
! [X2,X0,X1,X4] : mult(ld(mult(X0,X1),mult(X0,X1)),mult(X0,mult(rd(X1,X2),X2))) = mult(X0,mult(rd(X1,mult(X4,ld(X4,ld(X2,X2)))),mult(X4,ld(X4,ld(X2,X2))))),
inference(forward_demodulation,[],[f1384,f173]) ).
fof(f1445,plain,
! [X2,X0,X1] : mult(ld(mult(X0,X1),mult(X0,X1)),mult(X0,mult(rd(X1,X2),X2))) = mult(X0,mult(rd(X1,ld(X2,X2)),ld(X2,X2))),
inference(forward_demodulation,[],[f1401,f822]) ).
fof(f1477,plain,
! [X2,X0,X1] : mult(X0,mult(rd(X1,X2),X2)) = mult(ld(mult(X0,X1),mult(X0,X1)),mult(X0,mult(rd(X1,X2),X2))),
inference(forward_demodulation,[],[f1445,f1176]) ).
fof(f1495,plain,
! [X2,X0,X1] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(X0,X1),ld(mult(X0,X1),mult(X0,mult(rd(X1,X2),X2)))),
inference(forward_demodulation,[],[f1477,f1152]) ).
fof(f1507,plain,
! [X2,X0,X1] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(X0,X1),mult(rd(ld(mult(X0,X1),mult(X0,X1)),X2),X2)),
inference(forward_demodulation,[],[f1495,f904]) ).
fof(f1513,plain,
! [X2,X0,X1] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(X0,X1),mult(mult(X0,X1),ld(mult(X0,X1),ld(X2,X2)))),
inference(forward_demodulation,[],[f1507,f277]) ).
fof(f1519,plain,
! [X2,X0,X1] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(X0,X1),ld(X2,X2)),
inference(forward_demodulation,[],[f1513,f896]) ).
fof(f1889,plain,
! [X2,X3,X0,X1] : rd(mult(X0,rd(X2,X3)),rd(X2,X3)) = mult(rd(X0,rd(X1,X0)),rd(mult(rd(X1,X0),X3),X3)),
inference(superposition,[],[f17,f65]) ).
fof(f1894,plain,
! [X2,X0,X1] : mult(X0,ld(X2,X2)) = mult(rd(X0,rd(X1,X0)),mult(rd(rd(X1,X0),X2),X2)),
inference(superposition,[],[f1519,f65]) ).
fof(f1899,plain,
! [X2,X3,X0,X1] : rd(mult(X0,rd(X2,X3)),rd(X2,X3)) = mult(rd(X0,rd(X1,X0)),mult(rd(rd(X1,X0),X3),X3)),
inference(forward_demodulation,[],[f1889,f15]) ).
fof(f1918,plain,
! [X2,X3,X0] : rd(mult(X0,rd(X2,X3)),rd(X2,X3)) = mult(X0,ld(X3,X3)),
inference(forward_demodulation,[],[f1899,f1894]) ).
fof(f1929,plain,
! [X2,X3,X0] : mult(rd(X0,rd(X2,X3)),rd(X2,X3)) = mult(X0,ld(X3,X3)),
inference(forward_demodulation,[],[f1918,f15]) ).
fof(f1944,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = mult(rd(X1,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f1929,f253]) ).
fof(f1956,plain,
! [X0,X1] : rd(X0,X1) = mult(rd(X0,X1),ld(X1,X1)),
inference(superposition,[],[f27,f1929]) ).
fof(f2060,plain,
! [X0,X1] : rd(X1,ld(X0,X0)) = mult(rd(X1,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f1956,f1217]) ).
fof(f2080,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = rd(X1,ld(X0,X0)),
inference(forward_demodulation,[],[f2060,f1944]) ).
fof(f2127,plain,
! [X2,X0,X1] : mult(rd(X2,mult(X0,ld(X1,X1))),mult(X0,ld(X1,X1))) = mult(X2,mult(rd(ld(X2,X2),ld(X1,X1)),ld(X1,X1))),
inference(superposition,[],[f49,f2080]) ).
fof(f2133,plain,
! [X2,X0,X1] : mult(rd(X2,mult(X0,ld(X1,X1))),mult(X0,ld(X1,X1))) = mult(X2,ld(ld(X1,X1),ld(X1,X1))),
inference(superposition,[],[f1929,f2080]) ).
fof(f2144,plain,
! [X2,X0,X1] : mult(rd(X2,X1),X1) = mult(rd(X2,mult(X0,ld(X1,X1))),mult(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f2133,f1170]) ).
fof(f2150,plain,
! [X2,X0,X1] : mult(X2,mult(rd(ld(X2,X2),X1),X1)) = mult(rd(X2,mult(X0,ld(X1,X1))),mult(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f2127,f1176]) ).
fof(f2174,plain,
! [X2,X1] : mult(X2,mult(rd(ld(X2,X2),X1),X1)) = mult(rd(X2,X1),X1),
inference(forward_demodulation,[],[f2150,f2144]) ).
fof(f2198,plain,
! [X2,X1] : mult(rd(X2,X1),X1) = mult(X2,mult(X2,ld(X2,ld(X1,X1)))),
inference(forward_demodulation,[],[f2174,f277]) ).
fof(f2217,plain,
! [X2,X1] : mult(rd(X2,X1),X1) = mult(X2,ld(X1,X1)),
inference(forward_demodulation,[],[f2198,f896]) ).
fof(f3169,plain,
! [X0,X1] : mult(rd(X0,X0),ld(rd(X0,X0),mult(rd(X0,X1),X1))) = ld(rd(X0,X0),mult(X0,mult(rd(ld(X0,X0),X1),X1))),
inference(superposition,[],[f14,f124]) ).
fof(f3188,plain,
! [X0,X1] : mult(rd(X0,X0),ld(rd(X0,X0),mult(rd(X0,X1),X1))) = ld(rd(X0,X0),mult(X0,mult(ld(X0,X0),ld(X1,X1)))),
inference(forward_demodulation,[],[f3169,f2217]) ).
fof(f3223,plain,
! [X0,X1] : mult(rd(X0,X0),ld(rd(X0,X0),mult(rd(X0,X1),X1))) = ld(rd(X0,X0),mult(X0,mult(X0,ld(X0,ld(X1,X1))))),
inference(forward_demodulation,[],[f3188,f1152]) ).
fof(f3257,plain,
! [X0,X1] : mult(rd(X0,X0),ld(rd(X0,X0),mult(rd(X0,X1),X1))) = ld(rd(X0,X0),mult(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f3223,f896]) ).
fof(f3290,plain,
! [X0,X1] : mult(ld(X0,X0),ld(ld(X0,X0),mult(rd(X0,X1),X1))) = ld(ld(X0,X0),mult(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f3257,f253]) ).
fof(f3320,plain,
! [X0,X1] : mult(ld(X0,X0),mult(rd(ld(ld(X0,X0),X0),X1),X1)) = ld(ld(X0,X0),mult(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f3290,f1247]) ).
fof(f3348,plain,
! [X0,X1] : mult(X0,mult(rd(ld(X0,X0),X1),X1)) = ld(ld(X0,X0),mult(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f3320,f449]) ).
fof(f3372,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X0),ld(X1,X1))) = ld(ld(X0,X0),mult(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f3348,f2217]) ).
fof(f3390,plain,
! [X0,X1] : mult(X0,mult(X0,ld(X0,ld(X1,X1)))) = ld(ld(X0,X0),mult(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f3372,f1152]) ).
fof(f3403,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = ld(ld(X0,X0),mult(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f3390,f896]) ).
fof(f3461,plain,
! [X2,X0,X1] : mult(ld(X0,X0),ld(ld(X0,X0),X2)) = mult(mult(X0,ld(X1,X1)),ld(mult(X0,ld(X1,X1)),X2)),
inference(superposition,[],[f399,f3403]) ).
fof(f3468,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = mult(mult(X0,ld(X1,X1)),ld(mult(X0,ld(X1,X1)),X2)),
inference(forward_demodulation,[],[f3461,f399]) ).
fof(f5702,plain,
! [X2,X3,X0,X1,X4] : mult(mult(X0,X1),ld(mult(X0,X1),mult(X2,X3))) = mult(mult(ld(X0,X4),ld(ld(X0,X4),X2)),X3),
inference(superposition,[],[f37,f28]) ).
fof(f6030,plain,
! [X2,X3,X0,X1,X4] : mult(mult(X0,X1),ld(mult(X0,X1),mult(X2,X3))) = mult(ld(X0,X4),ld(ld(X0,X4),mult(X2,X3))),
inference(forward_demodulation,[],[f5702,f305]) ).
fof(f6195,plain,
! [X2,X3,X0,X1] : mult(X0,ld(X0,mult(X2,X3))) = mult(mult(X0,X1),ld(mult(X0,X1),mult(X2,X3))),
inference(forward_demodulation,[],[f6030,f399]) ).
fof(f7003,plain,
! [X3,X0,X1] : mult(X1,ld(X1,X0)) = mult(mult(X1,X3),ld(mult(X1,X3),X0)),
inference(superposition,[],[f6195,f65]) ).
fof(f7236,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X1,X1)),ld(mult(X0,ld(X1,X1)),X2)) = mult(rd(X0,X1),ld(rd(X0,X1),X2)),
inference(superposition,[],[f7003,f2217]) ).
fof(f7336,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = mult(rd(X0,X1),ld(rd(X0,X1),X2)),
inference(forward_demodulation,[],[f7236,f3468]) ).
fof(f14218,plain,
( $false
| spl3_1 ),
inference(unit_resulting_resolution,[],[f7336,f30]) ).
fof(f14279,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f14218]) ).
fof(f14396,plain,
( ld(ld(sK0,sK1),mult(ld(sK0,sK1),sK2)) != mult(sK0,ld(sK0,sK2))
| spl3_2 ),
inference(forward_demodulation,[],[f25,f14]) ).
fof(f14397,plain,
( mult(sK0,ld(sK0,sK2)) != mult(ld(sK0,sK1),ld(ld(sK0,sK1),sK2))
| spl3_2 ),
inference(forward_demodulation,[],[f14396,f14]) ).
fof(f14398,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f14397,f399]) ).
fof(f14399,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f14398]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f26]) ).
cnf(s3,plain,
spl3_1,
inference(sat_conversion,[],[f14279]) ).
cnf(s4,plain,
spl3_2,
inference(sat_conversion,[],[f14399]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f14400,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP682+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n017.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 10:31:05 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.44 Running first-order theorem proving
% 0.15/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.89/2.08 % (2349585)Detected formulas, will run a generic FOF schedule.
% 9.89/2.08 % (2349648)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3340099332:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.89/2.08 % (2349646)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2428652171:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.89/2.08 % (2349643)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3147518543:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.89/2.08 % (2349644)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1672291049:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.89/2.08 % (2349649)dis-21_1_sil=8000:lcm=predicate:random_seed=4076155483:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.89/2.08 % (2349645)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3145156400:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.89/2.08 % (2349647)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1396769152:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.89/2.08 % (2349649)Refutation not found, incomplete strategy
% 9.89/2.08 % (2349649)------------------------------
% 9.89/2.08 % (2349649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.89/2.08 % (2349649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.08 % (2349649)CaDiCaL version: 2.1.3
% 9.89/2.08 % (2349649)Termination reason: Refutation not found, incomplete strategy
% 9.89/2.08 % (2349649)Time elapsed: 0.001 s
% 9.89/2.08 % (2349649)Peak memory usage: 88 MB
% 9.89/2.08 % (2349646)Refutation not found, incomplete strategy
% 9.89/2.08 % (2349646)------------------------------
% 9.89/2.08 % (2349646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.89/2.08 % (2349646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.08 % (2349646)CaDiCaL version: 2.1.3
% 9.89/2.08 % (2349646)Termination reason: Refutation not found, incomplete strategy
% 9.89/2.08 % (2349646)Time elapsed: 0.001 s
% 9.89/2.08 % (2349646)Peak memory usage: 88 MB
% 9.89/2.08 % (2349646)Instructions burned: 1 (million)
% 9.89/2.08 % (2349647)Instruction limit reached!
% 9.89/2.08 % (2349647)------------------------------
% 9.89/2.08 % (2349647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.89/2.08 % (2349647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.08 % (2349647)CaDiCaL version: 2.1.3
% 9.89/2.08 % (2349647)Termination reason: Instruction limit
% 9.89/2.08 % (2349647)Termination phase: Saturation
% 9.89/2.08 % (2349647)Time elapsed: 0.069 s
% 9.89/2.08 % (2349647)Peak memory usage: 89 MB
% 9.89/2.08 % (2349647)Instructions burned: 119 (million)
% 9.89/2.08 % (2349648)Instruction limit reached!
% 9.89/2.08 % (2349648)------------------------------
% 9.89/2.08 % (2349648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.89/2.08 % (2349648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.08 % (2349648)CaDiCaL version: 2.1.3
% 9.89/2.08 % (2349648)Termination reason: Instruction limit
% 9.89/2.08 % (2349648)Termination phase: Saturation
% 9.89/2.08 % (2349648)Time elapsed: 0.081 s
% 9.89/2.08 % (2349648)Peak memory usage: 90 MB
% 9.89/2.08 % (2349648)Instructions burned: 139 (million)
% 9.89/2.08 % (2349744)lrs+10_1_sil=8000:sp=occurrence:random_seed=493549392:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.89/2.08 % (2349752)lrs+10_1_sil=32000:urr=on:br=off:random_seed=701294988:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.89/2.08 % (2349649)------------------------------
% 9.89/2.08 % (2349649)------------------------------
% 9.89/2.08 % (2349646)------------------------------
% 9.89/2.08 % (2349646)------------------------------
% 9.89/2.08 % (2349752)Instruction limit reached!
% 9.89/2.08 % (2349752)------------------------------
% 9.89/2.08 % (2349752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.89/2.08 % (2349752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.20 % (2349752)CaDiCaL version: 2.1.3
% 11.13/2.20 % (2349752)Termination reason: Instruction limit
% 11.13/2.20 % (2349752)Termination phase: Saturation
% 11.13/2.20 % (2349752)Time elapsed: 0.049 s
% 11.13/2.20 % (2349752)Peak memory usage: 90 MB
% 11.13/2.20 % (2349752)Instructions burned: 157 (million)
% 11.13/2.20 % (2349744)Instruction limit reached!
% 11.13/2.20 % (2349744)------------------------------
% 11.13/2.20 % (2349744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.20 % (2349744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.20 % (2349744)CaDiCaL version: 2.1.3
% 11.13/2.20 % (2349744)Termination reason: Instruction limit
% 11.13/2.20 % (2349744)Termination phase: Saturation
% 11.13/2.20 % (2349744)Time elapsed: 0.172 s
% 11.13/2.20 % (2349744)Peak memory usage: 92 MB
% 11.13/2.20 % (2349744)Instructions burned: 285 (million)
% 11.13/2.20 % (2349762)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1257289577:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.13/2.20 % (2349762)Refutation not found, incomplete strategy
% 11.13/2.20 % (2349762)------------------------------
% 11.13/2.20 % (2349762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.20 % (2349762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.20 % (2349762)CaDiCaL version: 2.1.3
% 11.13/2.20 % (2349762)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.20 % (2349762)Time elapsed: 0.001 s
% 11.13/2.20 % (2349762)Peak memory usage: 89 MB
% 11.13/2.20 % (2349762)Instructions burned: 1 (million)
% 11.13/2.20 % (2349760)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2424575021:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 11.13/2.20 % (2349761)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=562092636:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 11.13/2.20 % (2349762)------------------------------
% 11.13/2.20 % (2349762)------------------------------
% 11.13/2.20 % (2349764)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1995309801:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 11.13/2.20 % (2349761)Instruction limit reached!
% 11.13/2.20 % (2349761)------------------------------
% 11.13/2.20 % (2349761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.20 % (2349761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.20 % (2349761)CaDiCaL version: 2.1.3
% 11.13/2.20 % (2349761)Termination reason: Instruction limit
% 11.13/2.20 % (2349761)Termination phase: Saturation
% 11.13/2.20 % (2349761)Time elapsed: 0.156 s
% 11.13/2.20 % (2349761)Peak memory usage: 91 MB
% 11.13/2.20 % (2349761)Instructions burned: 249 (million)
% 11.13/2.20 % (2349760)Instruction limit reached!
% 11.13/2.20 % (2349760)------------------------------
% 11.13/2.20 % (2349760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.20 % (2349760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.20 % (2349760)CaDiCaL version: 2.1.3
% 11.13/2.20 % (2349760)Termination reason: Instruction limit
% 11.13/2.20 % (2349760)Termination phase: Saturation
% 11.13/2.20 % (2349760)Time elapsed: 0.196 s
% 11.13/2.20 % (2349760)Peak memory usage: 92 MB
% 11.13/2.20 % (2349760)Instructions burned: 326 (million)
% 11.13/2.20 % (2349645)Refutation not found, incomplete strategy
% 11.13/2.20 % (2349645)------------------------------
% 11.13/2.20 % (2349645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.20 % (2349645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.20 % (2349645)CaDiCaL version: 2.1.3
% 11.13/2.20 % (2349645)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.20 % (2349645)Time elapsed: 0.599 s
% 11.13/2.20 % (2349645)Peak memory usage: 126 MB
% 11.13/2.20 % (2349645)Instructions burned: 890 (million)
% 11.13/2.20 % (2349767)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1094457682:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 11.13/2.20 % (2349767)Refutation not found, incomplete strategy
% 11.13/2.20 % (2349767)------------------------------
% 11.13/2.20 % (2349767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.20 % (2349767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.20 % (2349767)CaDiCaL version: 2.1.3
% 11.13/2.20 % (2349767)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.20 % (2349767)Time elapsed: 0.001 s
% 11.13/2.20 % (2349767)Peak memory usage: 89 MB
% 11.13/2.20 % (2349769)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2257038474:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 11.13/2.20 % (2349769)Refutation not found, incomplete strategy
% 11.13/2.20 % (2349769)------------------------------
% 11.13/2.20 % (2349769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.20 % (2349769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.20 % (2349769)CaDiCaL version: 2.1.3
% 11.13/2.20 % (2349769)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.20 % (2349769)Time elapsed: 0.001 s
% 11.13/2.20 % (2349769)Peak memory usage: 88 MB
% 11.13/2.20 % (2349770)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2930574250:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 11.13/2.20 % (2349770)Refutation not found, incomplete strategy
% 11.13/2.20 % (2349770)------------------------------
% 11.13/2.20 % (2349770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.20 % (2349770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.20 % (2349770)CaDiCaL version: 2.1.3
% 11.13/2.20 % (2349770)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.20 % (2349770)Time elapsed: 0.002 s
% 11.13/2.20 % (2349770)Peak memory usage: 89 MB
% 11.13/2.20 % (2349770)Instructions burned: 1 (million)
% 11.13/2.20 % (2349767)------------------------------
% 11.13/2.20 % (2349767)------------------------------
% 11.13/2.20 % (2349645)------------------------------
% 11.13/2.20 % (2349645)------------------------------
% 11.13/2.20 % (2349774)lrs+10_1_sil=8000:sp=occurrence:random_seed=2856259854:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 11.13/2.20 % (2349769)------------------------------
% 11.13/2.20 % (2349769)------------------------------
% 11.13/2.20 % (2349770)------------------------------
% 11.13/2.20 % (2349770)------------------------------
% 11.13/2.20 % (2349775)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2429630903:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 11.13/2.20 % (2349775)Refutation not found, incomplete strategy
% 11.13/2.20 % (2349775)------------------------------
% 11.13/2.20 % (2349775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.20 % (2349775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.20 % (2349775)CaDiCaL version: 2.1.3
% 11.13/2.20 % (2349775)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.20 % (2349775)Time elapsed: 0.002 s
% 11.13/2.20 % (2349775)Peak memory usage: 88 MB
% 11.13/2.20 % (2349775)Instructions burned: 1 (million)
% 11.13/2.20 % (2349644)First to succeed.
% 11.13/2.20 % (2349777)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=916738966:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 11.13/2.20 % (2349644)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2349585"
% 11.13/2.20 % (2349778)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2737461126:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 11.13/2.20 % (2349778)Refutation not found, incomplete strategy
% 11.13/2.20 % (2349778)------------------------------
% 11.13/2.20 % (2349778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.20 % (2349778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.20 % (2349778)CaDiCaL version: 2.1.3
% 11.13/2.20 % (2349778)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.20 % (2349778)Time elapsed: 0.002 s
% 11.13/2.20 % (2349778)Peak memory usage: 89 MB
% 11.13/2.20 % (2349778)Instructions burned: 1 (million)
% 11.13/2.20 % (2349774)Instruction limit reached!
% 11.13/2.20 % (2349774)------------------------------
% 11.13/2.20 % (2349774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.20 % (2349774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.20 % (2349774)CaDiCaL version: 2.1.3
% 11.13/2.20 % (2349774)Termination reason: Instruction limit
% 11.13/2.20 % (2349774)Termination phase: Saturation
% 11.13/2.20 % (2349774)Time elapsed: 0.299 s
% 11.13/2.20 % (2349774)Peak memory usage: 97 MB
% 11.13/2.20 % (2349774)Instructions burned: 909 (million)
% 11.13/2.20 % (2349775)------------------------------
% 11.13/2.20 % (2349775)------------------------------
% 11.13/2.20 % (2349644)Refutation found. Thanks to Tanya!
% 11.13/2.20 % SZS status Theorem for theBenchmark
% 11.13/2.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/2.40 % (2349644)------------------------------
% 0.20/2.40 % (2349644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/2.40 % (2349644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/2.40 % (2349644)CaDiCaL version: 2.1.3
% 0.20/2.40 % (2349644)Termination reason: Refutation
% 0.20/2.40 % (2349644)Time elapsed: 1.115 s
% 0.20/2.40 % (2349644)Peak memory usage: 133 MB
% 0.20/2.40 % (2349644)Instructions burned: 1692 (million)
% 0.20/2.40 % (2349644)------------------------------
% 0.20/2.40 % (2349644)------------------------------
% 0.20/2.40 % (2349585)Success in time 1.551 s
% 0.20/2.40 % Vampire exiting
%------------------------------------------------------------------------------