TSTP Solution File: GRP683+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP683+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:29:21 EDT 2023
% Result : Theorem 0.22s 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 11
% Syntax : Number of formulae : 143 ( 126 unt; 0 def)
% Number of atoms : 162 ( 146 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 19 ~; 13 |; 3 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 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 : 310 (; 304 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3597,plain,
$false,
inference(avatar_sat_refutation,[],[f33,f3548,f3596]) ).
fof(f3596,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f3595]) ).
fof(f3595,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f3594,f2221]) ).
fof(f2221,plain,
! [X26,X24,X25] : mult(mult(X26,ld(X24,X24)),X25) = mult(X26,X25),
inference(forward_demodulation,[],[f2220,f776]) ).
fof(f776,plain,
! [X2,X1] : mult(X1,X2) = mult(mult(X1,ld(X2,X2)),X2),
inference(forward_demodulation,[],[f775,f34]) ).
fof(f34,plain,
! [X0] : mult(X0,ld(X0,X0)) = X0,
inference(backward_demodulation,[],[f20,f22]) ).
fof(f22,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = ld(X1,mult(X1,X0)),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = ld(X1,mult(X1,X0)),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.HengCmlHFA/Vampire---4.8_27704',f03) ).
fof(f20,plain,
! [X0] : ld(X0,mult(X0,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ld(X0,mult(X0,X0)) = X0,
file('/export/starexec/sandbox/tmp/tmp.HengCmlHFA/Vampire---4.8_27704',f01) ).
fof(f775,plain,
! [X2,X1] : mult(mult(X1,ld(X2,X2)),X2) = mult(X1,mult(X2,ld(X2,X2))),
inference(forward_demodulation,[],[f770,f614]) ).
fof(f614,plain,
! [X2,X3,X0] : mult(mult(X3,X2),ld(X0,X0)) = mult(X3,mult(X2,ld(X0,X0))),
inference(backward_demodulation,[],[f492,f604]) ).
fof(f604,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,X0),X0)) = mult(X1,mult(X2,ld(X0,X0))),
inference(backward_demodulation,[],[f579,f588]) ).
fof(f588,plain,
! [X6,X7] : mult(X7,ld(X6,X6)) = mult(rd(X7,ld(X6,X6)),ld(X6,X6)),
inference(superposition,[],[f486,f48]) ).
fof(f48,plain,
! [X1] : ld(X1,X1) = rd(X1,X1),
inference(forward_demodulation,[],[f47,f43]) ).
fof(f43,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f22,f34]) ).
fof(f47,plain,
! [X1] : rd(X1,X1) = mult(X1,ld(X1,ld(X1,X1))),
inference(forward_demodulation,[],[f46,f37]) ).
fof(f37,plain,
! [X0,X1] : mult(rd(rd(X1,X1),X0),X0) = mult(X1,ld(X1,ld(X0,X0))),
inference(forward_demodulation,[],[f36,f22]) ).
fof(f36,plain,
! [X0,X1] : ld(X1,mult(X1,ld(X0,X0))) = mult(rd(rd(X1,X1),X0),X0),
inference(forward_demodulation,[],[f24,f23]) ).
fof(f23,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = rd(mult(X1,X0),X0),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = rd(mult(X1,X0),X0),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
file('/export/starexec/sandbox/tmp/tmp.HengCmlHFA/Vampire---4.8_27704',f04) ).
fof(f24,plain,
! [X0,X1] : ld(X1,mult(X1,ld(X0,X0))) = rd(mult(rd(X1,X1),X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] : ld(X1,mult(X1,ld(X0,X0))) = rd(mult(rd(X1,X1),X0),X0),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
file('/export/starexec/sandbox/tmp/tmp.HengCmlHFA/Vampire---4.8_27704',f07) ).
fof(f46,plain,
! [X1] : rd(X1,X1) = mult(rd(rd(X1,X1),X1),X1),
inference(superposition,[],[f23,f35]) ).
fof(f35,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(backward_demodulation,[],[f21,f23]) ).
fof(f21,plain,
! [X0] : rd(mult(X0,X0),X0) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : rd(mult(X0,X0),X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.HengCmlHFA/Vampire---4.8_27704',f02) ).
fof(f486,plain,
! [X2,X0,X1] : mult(X0,ld(X1,X1)) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(backward_demodulation,[],[f107,f484]) ).
fof(f484,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f483,f22]) ).
fof(f483,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,ld(X0,mult(X0,X1))),
inference(forward_demodulation,[],[f482,f34]) ).
fof(f482,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,ld(X0,mult(mult(X0,X1),ld(mult(X0,X1),mult(X0,X1))))),
inference(backward_demodulation,[],[f150,f467]) ).
fof(f467,plain,
! [X2,X0,X1] : mult(X0,ld(X0,mult(mult(X0,X1),X2))) = mult(mult(X0,mult(X0,ld(X0,X1))),X2),
inference(superposition,[],[f306,f22]) ).
fof(f306,plain,
! [X8,X9,X7] : mult(X7,ld(X7,mult(X8,X9))) = mult(mult(X7,ld(X7,X8)),X9),
inference(backward_demodulation,[],[f175,f305]) ).
fof(f305,plain,
! [X21,X22] : mult(ld(X21,X21),ld(ld(X21,X21),X22)) = mult(X21,ld(X21,X22)),
inference(forward_demodulation,[],[f304,f34]) ).
fof(f304,plain,
! [X21,X22] : mult(ld(X21,X21),ld(ld(X21,X21),X22)) = mult(X21,ld(X21,mult(X22,ld(X22,X22)))),
inference(forward_demodulation,[],[f292,f175]) ).
fof(f292,plain,
! [X21,X22] : mult(ld(X21,X21),ld(ld(X21,X21),X22)) = mult(mult(ld(X21,X21),ld(ld(X21,X21),X22)),ld(X22,X22)),
inference(superposition,[],[f75,f255]) ).
fof(f255,plain,
! [X2] : ld(X2,X2) = ld(ld(X2,X2),ld(X2,X2)),
inference(forward_demodulation,[],[f245,f61]) ).
fof(f61,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))),
inference(forward_demodulation,[],[f58,f51]) ).
fof(f51,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(backward_demodulation,[],[f35,f48]) ).
fof(f58,plain,
! [X0] : mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))) = mult(ld(ld(X0,X0),ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f50,f48]) ).
fof(f50,plain,
! [X0,X1] : mult(X1,ld(X1,ld(X0,X0))) = mult(rd(ld(X1,X1),X0),X0),
inference(backward_demodulation,[],[f37,f48]) ).
fof(f245,plain,
! [X2] : ld(ld(X2,X2),ld(X2,X2)) = mult(X2,ld(X2,ld(ld(X2,X2),ld(X2,X2)))),
inference(superposition,[],[f160,f152]) ).
fof(f152,plain,
! [X1] : ld(ld(X1,X1),X1) = X1,
inference(backward_demodulation,[],[f49,f151]) ).
fof(f151,plain,
! [X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X0)) = X0,
inference(forward_demodulation,[],[f129,f34]) ).
fof(f129,plain,
! [X0,X1] : mult(X0,ld(X0,X0)) = mult(ld(X0,X1),ld(ld(X0,X1),X0)),
inference(superposition,[],[f75,f34]) ).
fof(f49,plain,
! [X1] : ld(ld(X1,X1),X1) = mult(ld(X1,X1),ld(ld(X1,X1),X1)),
inference(backward_demodulation,[],[f44,f48]) ).
fof(f44,plain,
! [X1] : ld(rd(X1,X1),X1) = mult(rd(X1,X1),ld(rd(X1,X1),X1)),
inference(superposition,[],[f22,f35]) ).
fof(f160,plain,
! [X2,X3] : ld(X2,X2) = mult(ld(X2,X3),ld(ld(X2,X3),ld(X2,X2))),
inference(forward_demodulation,[],[f130,f34]) ).
fof(f130,plain,
! [X2,X3] : mult(ld(X2,X2),ld(ld(X2,X2),ld(X2,X2))) = mult(ld(X2,X3),ld(ld(X2,X3),ld(X2,X2))),
inference(superposition,[],[f75,f43]) ).
fof(f75,plain,
! [X2,X0,X1] : mult(mult(X1,ld(X1,X0)),ld(X0,X0)) = mult(ld(X1,X2),ld(ld(X1,X2),X0)),
inference(superposition,[],[f39,f34]) ).
fof(f39,plain,
! [X2,X3,X0,X1] : mult(mult(X3,ld(X3,X1)),X0) = mult(ld(X3,X2),ld(ld(X3,X2),mult(X1,X0))),
inference(forward_demodulation,[],[f38,f22]) ).
fof(f38,plain,
! [X2,X3,X0,X1] : ld(ld(X3,X2),mult(ld(X3,X2),mult(X1,X0))) = mult(mult(X3,ld(X3,X1)),X0),
inference(forward_demodulation,[],[f25,f22]) ).
fof(f25,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,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : ld(ld(X3,X2),mult(ld(X3,X2),mult(X1,X0))) = mult(ld(X3,mult(X3,X1)),X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X3,X1,X0] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X3,X2))) = mult(ld(X0,mult(X0,X3)),X2),
file('/export/starexec/sandbox/tmp/tmp.HengCmlHFA/Vampire---4.8_27704',f05) ).
fof(f175,plain,
! [X8,X9,X7] : mult(mult(ld(X7,X7),ld(ld(X7,X7),X8)),X9) = mult(X7,ld(X7,mult(X8,X9))),
inference(superposition,[],[f39,f152]) ).
fof(f150,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,mult(X0,ld(X0,X1))),ld(mult(X0,X1),mult(X0,X1))),
inference(forward_demodulation,[],[f149,f34]) ).
fof(f149,plain,
! [X0,X1] : mult(mult(X0,mult(X0,ld(X0,X1))),ld(mult(X0,X1),mult(X0,X1))) = mult(mult(X0,ld(X0,X0)),X1),
inference(forward_demodulation,[],[f128,f39]) ).
fof(f128,plain,
! [X2,X0,X1] : mult(ld(X0,X2),ld(ld(X0,X2),mult(X0,X1))) = mult(mult(X0,mult(X0,ld(X0,X1))),ld(mult(X0,X1),mult(X0,X1))),
inference(superposition,[],[f75,f22]) ).
fof(f107,plain,
! [X2,X0,X1] : mult(rd(X0,rd(X2,X1)),rd(X2,X1)) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f91,f50]) ).
fof(f91,plain,
! [X2,X0,X1] : mult(X0,mult(rd(ld(X0,X0),X1),X1)) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(superposition,[],[f41,f34]) ).
fof(f41,plain,
! [X2,X3,X0,X1] : mult(X3,mult(rd(X2,X0),X0)) = mult(rd(mult(X3,X2),rd(X1,X0)),rd(X1,X0)),
inference(forward_demodulation,[],[f40,f23]) ).
fof(f40,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X3,X2),rd(X1,X0)),rd(X1,X0)) = mult(X3,mult(rd(X2,X0),X0)),
inference(forward_demodulation,[],[f26,f23]) ).
fof(f26,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,[],[f15]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : rd(mult(mult(X3,X2),rd(X1,X0)),rd(X1,X0)) = mult(X3,rd(mult(X2,X0),X0)),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X3,X1,X0] : rd(mult(mult(X0,X1),rd(X3,X2)),rd(X3,X2)) = mult(X0,rd(mult(X1,X2),X2)),
file('/export/starexec/sandbox/tmp/tmp.HengCmlHFA/Vampire---4.8_27704',f06) ).
fof(f579,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,ld(X0,X0)),ld(X0,X0))) = mult(X1,mult(rd(X2,X0),X0)),
inference(forward_demodulation,[],[f557,f492]) ).
fof(f557,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,ld(X0,X0)),ld(X0,X0))) = mult(mult(X1,X2),ld(X0,X0)),
inference(superposition,[],[f492,f255]) ).
fof(f492,plain,
! [X2,X3,X0] : mult(X3,mult(rd(X2,X0),X0)) = mult(mult(X3,X2),ld(X0,X0)),
inference(backward_demodulation,[],[f41,f486]) ).
fof(f770,plain,
! [X2,X1] : mult(mult(X1,X2),ld(X2,X2)) = mult(mult(X1,ld(X2,X2)),X2),
inference(superposition,[],[f688,f689]) ).
fof(f689,plain,
! [X0,X1] : rd(mult(X1,X0),X0) = mult(X1,ld(X0,X0)),
inference(backward_demodulation,[],[f23,f688]) ).
fof(f688,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = mult(X1,ld(X0,X0)),
inference(forward_demodulation,[],[f685,f255]) ).
fof(f685,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = mult(X1,ld(ld(X0,X0),ld(X0,X0))),
inference(superposition,[],[f486,f608]) ).
fof(f608,plain,
! [X0] : rd(X0,ld(X0,X0)) = X0,
inference(forward_demodulation,[],[f603,f34]) ).
fof(f603,plain,
! [X0] : mult(X0,ld(X0,X0)) = rd(X0,ld(X0,X0)),
inference(backward_demodulation,[],[f45,f588]) ).
fof(f45,plain,
! [X0] : rd(X0,ld(X0,X0)) = mult(rd(X0,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f23,f34]) ).
fof(f2220,plain,
! [X26,X24,X25] : mult(mult(X26,ld(X24,X24)),X25) = mult(mult(X26,ld(X25,X25)),X25),
inference(forward_demodulation,[],[f2179,f1675]) ).
fof(f1675,plain,
! [X3,X4,X5] : mult(X5,ld(X4,X4)) = mult(X5,mult(X3,ld(X3,ld(X4,X4)))),
inference(forward_demodulation,[],[f1674,f1247]) ).
fof(f1247,plain,
! [X14,X13] : mult(X13,ld(X13,ld(X14,X14))) = ld(mult(X13,ld(X13,X14)),X14),
inference(backward_demodulation,[],[f375,f1227]) ).
fof(f1227,plain,
! [X2,X0,X1] : ld(mult(X0,ld(X0,X1)),X2) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X2))),
inference(superposition,[],[f466,f22]) ).
fof(f466,plain,
! [X31,X29,X30] : ld(ld(X29,X30),X31) = ld(ld(X29,X30),mult(X29,ld(X29,X31))),
inference(backward_demodulation,[],[f379,f458]) ).
fof(f458,plain,
! [X2,X3,X4] : ld(ld(X2,X3),X4) = mult(X2,ld(X2,ld(ld(X2,X3),X4))),
inference(superposition,[],[f431,f371]) ).
fof(f371,plain,
! [X2,X0,X1] : mult(X1,ld(X1,X0)) = mult(ld(X1,X2),ld(ld(X1,X2),X0)),
inference(forward_demodulation,[],[f321,f34]) ).
fof(f321,plain,
! [X2,X0,X1] : mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(X1,ld(X1,mult(X0,ld(X0,X0)))),
inference(backward_demodulation,[],[f75,f306]) ).
fof(f431,plain,
! [X3,X4] : ld(X3,X4) = mult(X3,ld(X3,ld(X3,X4))),
inference(superposition,[],[f371,f34]) ).
fof(f379,plain,
! [X31,X29,X30] : mult(X29,ld(X29,ld(ld(X29,X30),X31))) = ld(ld(X29,X30),mult(X29,ld(X29,X31))),
inference(backward_demodulation,[],[f358,f371]) ).
fof(f358,plain,
! [X31,X29,X30] : mult(ld(X29,X30),ld(ld(X29,X30),ld(ld(X29,X30),X31))) = ld(ld(X29,X30),mult(X29,ld(X29,X31))),
inference(forward_demodulation,[],[f318,f34]) ).
fof(f318,plain,
! [X31,X29,X30] : mult(ld(X29,X30),ld(ld(X29,X30),ld(ld(X29,X30),X31))) = ld(ld(X29,X30),mult(X29,ld(X29,mult(X31,ld(X31,X31))))),
inference(backward_demodulation,[],[f148,f306]) ).
fof(f148,plain,
! [X31,X29,X30] : mult(ld(X29,X30),ld(ld(X29,X30),ld(ld(X29,X30),X31))) = ld(ld(X29,X30),mult(mult(X29,ld(X29,X31)),ld(X31,X31))),
inference(superposition,[],[f22,f75]) ).
fof(f375,plain,
! [X14,X13] : mult(X13,ld(X13,ld(X14,X14))) = ld(mult(X13,ld(X13,X14)),mult(X13,ld(X13,X14))),
inference(backward_demodulation,[],[f352,f371]) ).
fof(f352,plain,
! [X14,X15,X13] : ld(mult(X13,ld(X13,X14)),mult(ld(X13,X15),ld(ld(X13,X15),X14))) = mult(X13,ld(X13,ld(X14,X14))),
inference(forward_demodulation,[],[f315,f351]) ).
fof(f351,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))),
inference(forward_demodulation,[],[f350,f34]) ).
fof(f350,plain,
! [X2,X0,X1] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))) = mult(X0,ld(X0,mult(X2,ld(X2,X2)))),
inference(forward_demodulation,[],[f314,f306]) ).
fof(f314,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X2)),ld(X2,X2)) = mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))),
inference(backward_demodulation,[],[f137,f306]) ).
fof(f137,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X2)),ld(X2,X2)) = mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),X2)),
inference(superposition,[],[f75,f22]) ).
fof(f315,plain,
! [X14,X15,X13] : ld(mult(X13,ld(X13,X14)),mult(ld(X13,X15),ld(ld(X13,X15),X14))) = mult(X13,ld(X13,mult(X14,ld(mult(X13,ld(X13,X14)),ld(X14,X14))))),
inference(backward_demodulation,[],[f142,f306]) ).
fof(f142,plain,
! [X14,X15,X13] : mult(mult(X13,ld(X13,X14)),ld(mult(X13,ld(X13,X14)),ld(X14,X14))) = ld(mult(X13,ld(X13,X14)),mult(ld(X13,X15),ld(ld(X13,X15),X14))),
inference(superposition,[],[f22,f75]) ).
fof(f1674,plain,
! [X3,X4,X5] : mult(X5,ld(X4,X4)) = mult(X5,ld(mult(X3,ld(X3,X4)),X4)),
inference(forward_demodulation,[],[f1673,f1227]) ).
fof(f1673,plain,
! [X3,X4,X5] : mult(X5,ld(X4,X4)) = mult(X5,ld(mult(X3,ld(X3,X4)),mult(X3,ld(X3,X4)))),
inference(forward_demodulation,[],[f1587,f707]) ).
fof(f707,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = mult(X2,ld(mult(X0,ld(X1,X1)),mult(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f691,f688]) ).
fof(f691,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = mult(rd(X2,mult(X0,ld(X1,X1))),mult(X0,ld(X1,X1))),
inference(backward_demodulation,[],[f628,f688]) ).
fof(f628,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = mult(rd(X2,mult(rd(X0,X1),X1)),mult(X0,ld(X1,X1))),
inference(backward_demodulation,[],[f586,f604]) ).
fof(f586,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = mult(rd(X2,mult(rd(X0,X1),X1)),mult(rd(X0,X1),X1)),
inference(superposition,[],[f486,f23]) ).
fof(f1587,plain,
! [X3,X4,X5] : mult(X5,ld(mult(X3,ld(X3,X4)),mult(X3,ld(X3,X4)))) = mult(X5,ld(mult(X3,ld(X4,X4)),mult(X3,ld(X4,X4)))),
inference(superposition,[],[f695,f709]) ).
fof(f709,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = rd(mult(X0,X1),mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f708,f484]) ).
fof(f708,plain,
! [X0,X1] : mult(X0,mult(X0,ld(X0,ld(X1,X1)))) = rd(mult(X0,X1),mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f692,f375]) ).
fof(f692,plain,
! [X0,X1] : rd(mult(X0,X1),mult(X0,ld(X0,X1))) = mult(X0,ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1)))),
inference(backward_demodulation,[],[f530,f688]) ).
fof(f530,plain,
! [X0,X1] : mult(rd(X0,mult(X0,ld(X0,X1))),mult(X0,ld(X0,X1))) = rd(mult(X0,X1),mult(X0,ld(X0,X1))),
inference(superposition,[],[f23,f484]) ).
fof(f695,plain,
! [X2,X0,X1] : mult(X0,ld(X1,X1)) = mult(X0,ld(rd(X2,X1),rd(X2,X1))),
inference(backward_demodulation,[],[f486,f688]) ).
fof(f2179,plain,
! [X26,X24,X25] : mult(mult(X26,ld(X24,X24)),X25) = mult(mult(X26,mult(X24,ld(X24,ld(X25,X25)))),X25),
inference(superposition,[],[f784,f886]) ).
fof(f886,plain,
! [X8,X9] : mult(X8,ld(X8,X9)) = mult(ld(X8,X8),X9),
inference(forward_demodulation,[],[f885,f51]) ).
fof(f885,plain,
! [X8,X9] : mult(ld(X8,X8),X9) = mult(X8,ld(X8,mult(ld(X9,X9),X9))),
inference(forward_demodulation,[],[f869,f306]) ).
fof(f869,plain,
! [X8,X9] : mult(ld(X8,X8),X9) = mult(mult(X8,ld(X8,ld(X9,X9))),X9),
inference(superposition,[],[f776,f697]) ).
fof(f697,plain,
! [X0,X1] : mult(X1,ld(X1,ld(X0,X0))) = mult(ld(X1,X1),ld(X0,X0)),
inference(backward_demodulation,[],[f50,f688]) ).
fof(f784,plain,
! [X2,X3,X1] : mult(mult(X1,X2),X3) = mult(mult(X1,mult(X2,ld(X3,X3))),X3),
inference(superposition,[],[f776,f614]) ).
fof(f3594,plain,
( mult(sK0,sK2) != mult(mult(sK0,ld(sK1,sK1)),sK2)
| spl3_2 ),
inference(forward_demodulation,[],[f32,f689]) ).
fof(f32,plain,
( mult(sK0,sK2) != mult(rd(mult(sK0,sK1),sK1),sK2)
| spl3_2 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl3_2
<=> mult(sK0,sK2) = mult(rd(mult(sK0,sK1),sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f3548,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f3547]) ).
fof(f3547,plain,
( $false
| spl3_1 ),
inference(trivial_inequality_removal,[],[f3546]) ).
fof(f3546,plain,
( mult(sK0,sK2) != mult(sK0,sK2)
| spl3_1 ),
inference(backward_demodulation,[],[f42,f3544]) ).
fof(f3544,plain,
! [X18,X16,X17] : mult(X16,mult(X17,ld(X17,X18))) = mult(X16,X18),
inference(forward_demodulation,[],[f3473,f484]) ).
fof(f3473,plain,
! [X18,X16,X17] : mult(X16,mult(X17,ld(X17,X18))) = mult(X16,mult(X16,ld(X16,X18))),
inference(superposition,[],[f484,f1941]) ).
fof(f1941,plain,
! [X21,X22,X23] : mult(X23,ld(X23,mult(X21,ld(X21,X22)))) = mult(X23,ld(X23,X22)),
inference(forward_demodulation,[],[f1860,f1248]) ).
fof(f1248,plain,
! [X18,X16,X17] : mult(X16,ld(X16,X18)) = ld(mult(X16,ld(X16,X17)),mult(X17,X18)),
inference(backward_demodulation,[],[f523,f1227]) ).
fof(f523,plain,
! [X18,X16,X17] : mult(X16,ld(X16,X18)) = ld(mult(X16,ld(X16,X17)),mult(X16,ld(X16,mult(X17,X18)))),
inference(forward_demodulation,[],[f522,f351]) ).
fof(f522,plain,
! [X18,X16,X17] : ld(mult(X16,ld(X16,X17)),mult(X16,ld(X16,mult(X17,X18)))) = mult(X16,ld(X16,mult(X17,ld(mult(X16,ld(X16,X17)),X18)))),
inference(forward_demodulation,[],[f481,f306]) ).
fof(f481,plain,
! [X18,X16,X17] : mult(mult(X16,ld(X16,X17)),ld(mult(X16,ld(X16,X17)),X18)) = ld(mult(X16,ld(X16,X17)),mult(X16,ld(X16,mult(X17,X18)))),
inference(superposition,[],[f22,f306]) ).
fof(f1860,plain,
! [X21,X22,X23] : mult(X23,ld(X23,mult(X21,ld(X21,X22)))) = ld(mult(X23,ld(X23,X21)),mult(X21,X22)),
inference(superposition,[],[f1248,f484]) ).
fof(f42,plain,
( mult(sK0,sK2) != mult(sK0,mult(sK1,ld(sK1,sK2)))
| spl3_1 ),
inference(forward_demodulation,[],[f29,f22]) ).
fof(f29,plain,
( mult(sK0,sK2) != mult(sK0,ld(sK1,mult(sK1,sK2)))
| spl3_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl3_1
<=> mult(sK0,sK2) = mult(sK0,ld(sK1,mult(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f33,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f19,f31,f28]) ).
fof(f19,plain,
( mult(sK0,sK2) != mult(rd(mult(sK0,sK1),sK1),sK2)
| mult(sK0,sK2) != mult(sK0,ld(sK1,mult(sK1,sK2))) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( mult(sK0,sK2) != mult(rd(mult(sK0,sK1),sK1),sK2)
| mult(sK0,sK2) != mult(sK0,ld(sK1,mult(sK1,sK2))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f17]) ).
fof(f17,plain,
( ? [X0,X1,X2] :
( mult(X0,X2) != mult(rd(mult(X0,X1),X1),X2)
| mult(X0,X2) != mult(X0,ld(X1,mult(X1,X2))) )
=> ( mult(sK0,sK2) != mult(rd(mult(sK0,sK1),sK1),sK2)
| mult(sK0,sK2) != mult(sK0,ld(sK1,mult(sK1,sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1,X2] :
( mult(X0,X2) != mult(rd(mult(X0,X1),X1),X2)
| mult(X0,X2) != mult(X0,ld(X1,mult(X1,X2))) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
~ ! [X0,X1,X2] :
( mult(X0,X2) = mult(rd(mult(X0,X1),X1),X2)
& mult(X0,X2) = mult(X0,ld(X1,mult(X1,X2))) ),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X4,X5,X6] :
( mult(X4,X6) = mult(rd(mult(X4,X5),X5),X6)
& mult(X4,ld(X5,mult(X5,X6))) = mult(X4,X6) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X4,X5,X6] :
( mult(X4,X6) = mult(rd(mult(X4,X5),X5),X6)
& mult(X4,ld(X5,mult(X5,X6))) = mult(X4,X6) ),
file('/export/starexec/sandbox/tmp/tmp.HengCmlHFA/Vampire---4.8_27704',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP683+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 20:21:13 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_PEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.HengCmlHFA/Vampire---4.8_27704
% 0.15/0.37 % (27951)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.40 % (27954)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.22/0.42 % (27956)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.22/0.42 % (27953)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.42 % (27955)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.22/0.42 % (27957)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.22/0.42 % (27958)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.22/0.42 % (27959)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.43 % (27957)Refutation not found, incomplete strategy% (27957)------------------------------
% 0.22/0.43 % (27957)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (27957)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (27957)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43 % (27957)Memory used [KB]: 895
% 0.22/0.43 % (27957)Time elapsed: 0.003 s
% 0.22/0.43 % (27957)------------------------------
% 0.22/0.43 % (27957)------------------------------
% 0.22/0.48 % (27954)First to succeed.
% 0.22/0.48 % (27954)Refutation found. Thanks to Tanya!
% 0.22/0.48 % SZS status Theorem for Vampire---4
% 0.22/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.48 % (27954)------------------------------
% 0.22/0.48 % (27954)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.48 % (27954)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.48 % (27954)Termination reason: Refutation
% 0.22/0.48
% 0.22/0.48 % (27954)Memory used [KB]: 12025
% 0.22/0.48 % (27954)Time elapsed: 0.080 s
% 0.22/0.48 % (27954)------------------------------
% 0.22/0.48 % (27954)------------------------------
% 0.22/0.48 % (27951)Success in time 0.111 s
% 0.22/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------