TSTP Solution File: GRP682-11 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP682-11 : TPTP v8.1.2. Released v8.1.0.
% 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 : n028.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 : Fri Sep 1 15:57:20 EDT 2023
% Result : Unsatisfiable 4.29s 1.10s
% Output : Refutation 4.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 8
% Syntax : Number of formulae : 124 ( 124 unt; 0 def)
% Number of atoms : 124 ( 123 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% 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 : 282 (; 282 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24250,plain,
$false,
inference(trivial_inequality_removal,[],[f24167]) ).
fof(f24167,plain,
mult(x0,ld(x0,x2)) != mult(x0,ld(x0,x2)),
inference(superposition,[],[f16,f6029]) ).
fof(f6029,plain,
! [X18,X19,X17] : mult(X17,ld(X17,X19)) = mult(rd(X17,X18),ld(rd(X17,X18),X19)),
inference(superposition,[],[f2973,f2727]) ).
fof(f2727,plain,
! [X6,X7,X5] : mult(X5,X7) = mult(rd(X5,X6),ld(rd(X5,X6),mult(X5,X7))),
inference(backward_demodulation,[],[f420,f2725]) ).
fof(f2725,plain,
! [X18,X19,X20] : mult(mult(X20,ld(X18,X18)),X19) = mult(X20,X19),
inference(forward_demodulation,[],[f2714,f481]) ).
fof(f481,plain,
! [X2,X1] : mult(X1,X2) = mult(mult(X1,ld(X2,X2)),X2),
inference(forward_demodulation,[],[f480,f14]) ).
fof(f14,plain,
! [X0] : mult(X0,ld(X0,X0)) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f1,axiom,
! [X0] : ld(X0,mult(X0,X0)) = X0,
file('/export/starexec/sandbox2/tmp/tmp.F1xuDiQdYO/Vampire---4.8_30141',f01) ).
fof(f3,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.F1xuDiQdYO/Vampire---4.8_30141',f03) ).
fof(f480,plain,
! [X2,X1] : mult(mult(X1,ld(X2,X2)),X2) = mult(X1,mult(X2,ld(X2,X2))),
inference(forward_demodulation,[],[f470,f368]) ).
fof(f368,plain,
! [X14,X15,X13] : mult(mult(X13,X14),ld(X15,X15)) = mult(X13,mult(X14,ld(X15,X15))),
inference(forward_demodulation,[],[f367,f114]) ).
fof(f114,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f96,f3]) ).
fof(f96,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,ld(X0,mult(X0,X1))),
inference(superposition,[],[f82,f14]) ).
fof(f82,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(forward_demodulation,[],[f67,f3]) ).
fof(f67,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = ld(X0,mult(X0,mult(X1,X2))),
inference(superposition,[],[f12,f1]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(forward_demodulation,[],[f5,f3]) ).
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/sandbox2/tmp/tmp.F1xuDiQdYO/Vampire---4.8_30141',f05) ).
fof(f367,plain,
! [X14,X15,X13] : mult(mult(X13,X14),ld(X15,X15)) = mult(X13,mult(X13,ld(X13,mult(X14,ld(X15,X15))))),
inference(forward_demodulation,[],[f366,f82]) ).
fof(f366,plain,
! [X14,X15,X13] : mult(mult(X13,X14),ld(X15,X15)) = mult(X13,mult(mult(X13,ld(X13,X14)),ld(X15,X15))),
inference(forward_demodulation,[],[f365,f330]) ).
fof(f330,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(backward_demodulation,[],[f4,f329]) ).
fof(f329,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[],[f302,f272]) ).
fof(f272,plain,
! [X2,X0] : mult(ld(X0,X0),mult(rd(X0,X2),X2)) = mult(X0,ld(X2,X2)),
inference(backward_demodulation,[],[f248,f271]) ).
fof(f271,plain,
! [X24,X22,X23] : rd(mult(X22,rd(X23,X24)),rd(X23,X24)) = mult(X22,ld(X24,X24)),
inference(forward_demodulation,[],[f270,f114]) ).
fof(f270,plain,
! [X24,X22,X23] : rd(mult(X22,rd(X23,X24)),rd(X23,X24)) = mult(X22,mult(X22,ld(X22,ld(X24,X24)))),
inference(forward_demodulation,[],[f254,f39]) ).
fof(f39,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(rd(ld(X0,X0),X1),X1),
inference(backward_demodulation,[],[f11,f33]) ).
fof(f33,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(forward_demodulation,[],[f27,f17]) ).
fof(f17,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f3,f14]) ).
fof(f27,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f11,f21]) ).
fof(f21,plain,
! [X0] : rd(X0,X0) = mult(rd(rd(X0,X0),X0),X0),
inference(superposition,[],[f4,f19]) ).
fof(f19,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(superposition,[],[f4,f2]) ).
fof(f2,axiom,
! [X0] : rd(mult(X0,X0),X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.F1xuDiQdYO/Vampire---4.8_30141',f02) ).
fof(f11,plain,
! [X0,X1] : mult(rd(rd(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f10,f3]) ).
fof(f10,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = mult(rd(rd(X0,X0),X1),X1),
inference(forward_demodulation,[],[f7,f4]) ).
fof(f7,axiom,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
file('/export/starexec/sandbox2/tmp/tmp.F1xuDiQdYO/Vampire---4.8_30141',f07) ).
fof(f254,plain,
! [X24,X22,X23] : mult(X22,mult(rd(ld(X22,X22),X24),X24)) = rd(mult(X22,rd(X23,X24)),rd(X23,X24)),
inference(superposition,[],[f13,f14]) ).
fof(f13,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,mult(rd(X1,X3),X3)),
inference(forward_demodulation,[],[f6,f4]) ).
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/sandbox2/tmp/tmp.F1xuDiQdYO/Vampire---4.8_30141',f06) ).
fof(f248,plain,
! [X2,X0,X1] : mult(ld(X0,X0),mult(rd(X0,X2),X2)) = rd(mult(X0,rd(X1,X2)),rd(X1,X2)),
inference(superposition,[],[f13,f38]) ).
fof(f38,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(backward_demodulation,[],[f19,f33]) ).
fof(f302,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(ld(X0,X0),mult(rd(X0,X1),X1)),
inference(superposition,[],[f261,f38]) ).
fof(f261,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,X0),X0)) = rd(mult(mult(X1,X2),X0),X0),
inference(superposition,[],[f13,f2]) ).
fof(f4,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
file('/export/starexec/sandbox2/tmp/tmp.F1xuDiQdYO/Vampire---4.8_30141',f04) ).
fof(f365,plain,
! [X14,X15,X13] : mult(X13,mult(rd(mult(X13,ld(X13,X14)),X15),X15)) = mult(mult(X13,X14),ld(X15,X15)),
inference(forward_demodulation,[],[f307,f329]) ).
fof(f307,plain,
! [X14,X15,X13] : mult(X13,mult(rd(mult(X13,ld(X13,X14)),X15),X15)) = rd(mult(mult(X13,X14),X15),X15),
inference(superposition,[],[f261,f114]) ).
fof(f470,plain,
! [X2,X1] : mult(mult(X1,X2),ld(X2,X2)) = mult(mult(X1,ld(X2,X2)),X2),
inference(superposition,[],[f330,f329]) ).
fof(f2714,plain,
! [X18,X19,X20] : mult(mult(X20,ld(X18,X18)),X19) = mult(mult(X20,ld(X19,X19)),X19),
inference(backward_demodulation,[],[f1617,f2710]) ).
fof(f2710,plain,
! [X10,X11,X12] : mult(X12,ld(X11,X11)) = mult(X12,mult(X10,ld(X10,ld(X11,X11)))),
inference(forward_demodulation,[],[f2709,f1950]) ).
fof(f1950,plain,
! [X32,X33] : ld(X32,X33) = ld(ld(X32,X32),ld(X32,X33)),
inference(superposition,[],[f1852,f1256]) ).
fof(f1256,plain,
! [X3,X4] : ld(X3,X4) = mult(X3,ld(X3,ld(X3,X4))),
inference(superposition,[],[f492,f1]) ).
fof(f492,plain,
! [X2,X0,X1] : mult(X1,ld(X1,X0)) = ld(ld(X1,X2),mult(ld(X1,X2),X0)),
inference(superposition,[],[f83,f38]) ).
fof(f83,plain,
! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(X0,ld(X0,mult(X2,X3))),
inference(backward_demodulation,[],[f12,f82]) ).
fof(f1852,plain,
! [X2,X3] : mult(X2,X3) = ld(ld(X2,X2),mult(X2,X3)),
inference(forward_demodulation,[],[f1826,f1824]) ).
fof(f1824,plain,
! [X2,X3] : mult(X2,X3) = mult(X2,ld(X2,ld(ld(X2,X2),mult(X2,X3)))),
inference(superposition,[],[f148,f669]) ).
fof(f669,plain,
! [X8,X9] : mult(X8,ld(X8,X9)) = mult(ld(X8,X8),X9),
inference(forward_demodulation,[],[f651,f516]) ).
fof(f516,plain,
! [X18,X19] : mult(mult(X19,ld(X19,ld(X18,X18))),X18) = mult(X19,ld(X19,X18)),
inference(backward_demodulation,[],[f76,f492]) ).
fof(f76,plain,
! [X18,X19,X20] : mult(mult(X19,ld(X19,ld(X18,X18))),X18) = ld(ld(X19,X20),mult(ld(X19,X20),X18)),
inference(superposition,[],[f12,f38]) ).
fof(f651,plain,
! [X8,X9] : mult(ld(X8,X8),X9) = mult(mult(X8,ld(X8,ld(X9,X9))),X9),
inference(superposition,[],[f481,f414]) ).
fof(f414,plain,
! [X2,X3] : mult(X2,ld(X2,ld(X3,X3))) = mult(ld(X2,X2),ld(X3,X3)),
inference(superposition,[],[f330,f39]) ).
fof(f148,plain,
! [X2,X1] : mult(X1,X2) = mult(ld(X1,X1),ld(ld(X1,X1),mult(X1,X2))),
inference(forward_demodulation,[],[f146,f38]) ).
fof(f146,plain,
! [X2,X1] : mult(ld(X1,X1),ld(ld(X1,X1),mult(X1,X2))) = mult(mult(ld(X1,X1),X1),X2),
inference(superposition,[],[f82,f132]) ).
fof(f132,plain,
! [X1] : ld(ld(X1,X1),X1) = X1,
inference(backward_demodulation,[],[f36,f131]) ).
fof(f131,plain,
! [X4] : mult(ld(X4,X4),ld(ld(X4,X4),X4)) = X4,
inference(forward_demodulation,[],[f124,f38]) ).
fof(f124,plain,
! [X4] : mult(ld(X4,X4),ld(ld(X4,X4),X4)) = mult(ld(X4,X4),X4),
inference(superposition,[],[f114,f36]) ).
fof(f36,plain,
! [X1] : ld(ld(X1,X1),X1) = mult(ld(X1,X1),ld(ld(X1,X1),X1)),
inference(backward_demodulation,[],[f22,f33]) ).
fof(f22,plain,
! [X1] : ld(rd(X1,X1),X1) = mult(rd(X1,X1),ld(rd(X1,X1),X1)),
inference(superposition,[],[f3,f19]) ).
fof(f1826,plain,
! [X2,X3] : ld(ld(X2,X2),mult(X2,X3)) = mult(X2,ld(X2,ld(ld(X2,X2),mult(X2,X3)))),
inference(superposition,[],[f492,f148]) ).
fof(f2709,plain,
! [X10,X11,X12] : mult(X12,ld(X11,X11)) = mult(X12,mult(X10,ld(X10,ld(ld(X11,X11),ld(X11,X11))))),
inference(forward_demodulation,[],[f2624,f1526]) ).
fof(f1526,plain,
! [X12,X13] : ld(mult(X12,ld(X12,X13)),mult(X12,ld(X12,X13))) = mult(X12,ld(X12,ld(X13,X13))),
inference(forward_demodulation,[],[f1512,f1345]) ).
fof(f1345,plain,
! [X6,X4,X5] : mult(X4,ld(X4,X6)) = mult(mult(X4,ld(X4,X5)),ld(mult(X4,ld(X4,X5)),X6)),
inference(forward_demodulation,[],[f1344,f516]) ).
fof(f1344,plain,
! [X6,X4,X5] : mult(mult(X4,ld(X4,X5)),ld(mult(X4,ld(X4,X5)),X6)) = mult(mult(X4,ld(X4,ld(X6,X6))),X6),
inference(forward_demodulation,[],[f1320,f1263]) ).
fof(f1263,plain,
! [X8,X9,X7] : mult(X7,ld(X7,X9)) = mult(X7,ld(X7,mult(X8,ld(mult(X7,ld(X7,X8)),X9)))),
inference(backward_demodulation,[],[f121,f1262]) ).
fof(f1262,plain,
! [X2,X3,X4] : mult(X2,ld(X2,X4)) = ld(mult(X2,ld(X2,X3)),mult(X2,ld(X2,mult(X3,X4)))),
inference(forward_demodulation,[],[f1242,f82]) ).
fof(f1242,plain,
! [X2,X3,X4] : mult(X2,ld(X2,X4)) = ld(mult(X2,ld(X2,X3)),mult(mult(X2,ld(X2,X3)),X4)),
inference(superposition,[],[f492,f3]) ).
fof(f121,plain,
! [X8,X9,X7] : ld(mult(X7,ld(X7,X8)),mult(X7,ld(X7,mult(X8,X9)))) = mult(X7,ld(X7,mult(X8,ld(mult(X7,ld(X7,X8)),X9)))),
inference(forward_demodulation,[],[f109,f82]) ).
fof(f109,plain,
! [X8,X9,X7] : mult(mult(X7,ld(X7,X8)),ld(mult(X7,ld(X7,X8)),X9)) = ld(mult(X7,ld(X7,X8)),mult(X7,ld(X7,mult(X8,X9)))),
inference(superposition,[],[f3,f82]) ).
fof(f1320,plain,
! [X6,X4,X5] : mult(mult(X4,ld(X4,X5)),ld(mult(X4,ld(X4,X5)),X6)) = mult(mult(X4,ld(X4,mult(X5,ld(mult(X4,ld(X4,X5)),ld(X6,X6))))),X6),
inference(superposition,[],[f516,f82]) ).
fof(f1512,plain,
! [X12,X13] : ld(mult(X12,ld(X12,X13)),mult(X12,ld(X12,X13))) = mult(mult(X12,ld(X12,X13)),ld(mult(X12,ld(X12,X13)),ld(X13,X13))),
inference(superposition,[],[f3,f517]) ).
fof(f517,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = mult(mult(X1,ld(X1,X0)),ld(X0,X0)),
inference(backward_demodulation,[],[f70,f492]) ).
fof(f70,plain,
! [X2,X0,X1] : mult(mult(X1,ld(X1,X0)),ld(X0,X0)) = ld(ld(X1,X2),mult(ld(X1,X2),X0)),
inference(superposition,[],[f12,f14]) ).
fof(f2624,plain,
! [X10,X11,X12] : mult(X12,ld(X11,X11)) = mult(X12,ld(mult(X10,ld(X10,ld(X11,X11))),mult(X10,ld(X10,ld(X11,X11))))),
inference(superposition,[],[f798,f678]) ).
fof(f678,plain,
! [X2,X3] : mult(X2,ld(X2,ld(X3,X3))) = rd(mult(X2,ld(X2,X3)),X3),
inference(backward_demodulation,[],[f604,f669]) ).
fof(f604,plain,
! [X2,X3] : mult(X2,ld(X2,ld(X3,X3))) = rd(mult(ld(X2,X2),X3),X3),
inference(forward_demodulation,[],[f573,f428]) ).
fof(f428,plain,
! [X3,X5] : mult(X3,ld(X3,ld(X5,X5))) = mult(rd(ld(X3,X3),X3),mult(X3,ld(X5,X5))),
inference(backward_demodulation,[],[f341,f414]) ).
fof(f341,plain,
! [X3,X5] : mult(ld(X3,X3),ld(X5,X5)) = mult(rd(ld(X3,X3),X3),mult(X3,ld(X5,X5))),
inference(backward_demodulation,[],[f273,f330]) ).
fof(f273,plain,
! [X3,X5] : mult(rd(ld(X3,X3),X3),mult(rd(X3,X5),X5)) = mult(ld(X3,X3),ld(X5,X5)),
inference(backward_demodulation,[],[f249,f271]) ).
fof(f249,plain,
! [X3,X4,X5] : mult(rd(ld(X3,X3),X3),mult(rd(X3,X5),X5)) = rd(mult(ld(X3,X3),rd(X4,X5)),rd(X4,X5)),
inference(superposition,[],[f13,f37]) ).
fof(f37,plain,
! [X0] : ld(X0,X0) = mult(rd(ld(X0,X0),X0),X0),
inference(backward_demodulation,[],[f21,f33]) ).
fof(f573,plain,
! [X2,X3] : rd(mult(ld(X2,X2),X3),X3) = mult(rd(ld(X2,X2),X2),mult(X2,ld(X3,X3))),
inference(superposition,[],[f332,f37]) ).
fof(f332,plain,
! [X2,X0,X1] : rd(mult(mult(X1,X2),X0),X0) = mult(X1,mult(X2,ld(X0,X0))),
inference(backward_demodulation,[],[f261,f330]) ).
fof(f798,plain,
! [X10,X8,X9] : mult(X10,ld(rd(X8,X9),rd(X8,X9))) = mult(X10,ld(X9,X9)),
inference(forward_demodulation,[],[f779,f778]) ).
fof(f778,plain,
! [X6,X4,X5] : mult(X6,ld(X5,X5)) = rd(mult(X6,mult(X4,ld(X5,X5))),mult(X4,ld(X5,X5))),
inference(superposition,[],[f271,f329]) ).
fof(f779,plain,
! [X10,X8,X9,X7] : mult(X10,ld(rd(X8,X9),rd(X8,X9))) = rd(mult(X10,mult(X7,ld(X9,X9))),mult(X7,ld(X9,X9))),
inference(superposition,[],[f271,f271]) ).
fof(f1617,plain,
! [X18,X19,X20] : mult(mult(X20,mult(X18,ld(X18,ld(X19,X19)))),X19) = mult(mult(X20,ld(X18,X18)),X19),
inference(forward_demodulation,[],[f1616,f637]) ).
fof(f637,plain,
! [X6,X7,X5] : mult(mult(X5,X6),X7) = mult(mult(X5,mult(X6,ld(X7,X7))),X7),
inference(forward_demodulation,[],[f636,f14]) ).
fof(f636,plain,
! [X6,X7,X5] : mult(mult(X5,mult(X6,ld(X7,X7))),X7) = mult(mult(X5,X6),mult(X7,ld(X7,X7))),
inference(forward_demodulation,[],[f601,f368]) ).
fof(f601,plain,
! [X6,X7,X5] : mult(mult(mult(X5,X6),X7),ld(X7,X7)) = mult(mult(X5,mult(X6,ld(X7,X7))),X7),
inference(superposition,[],[f330,f332]) ).
fof(f1616,plain,
! [X18,X19,X20] : mult(mult(X20,mult(X18,ld(X18,ld(X19,X19)))),X19) = mult(mult(X20,mult(ld(X18,X18),ld(X19,X19))),X19),
inference(forward_demodulation,[],[f1615,f822]) ).
fof(f822,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = rd(X1,ld(X0,X0)),
inference(forward_demodulation,[],[f815,f559]) ).
fof(f559,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = mult(rd(X1,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f552,f209]) ).
fof(f209,plain,
! [X4] : ld(X4,X4) = ld(ld(X4,X4),ld(X4,X4)),
inference(forward_demodulation,[],[f196,f40]) ).
fof(f40,plain,
! [X1] : ld(X1,X1) = mult(X1,ld(X1,ld(ld(X1,X1),ld(X1,X1)))),
inference(forward_demodulation,[],[f28,f33]) ).
fof(f28,plain,
! [X1] : rd(X1,X1) = mult(X1,ld(X1,ld(rd(X1,X1),rd(X1,X1)))),
inference(superposition,[],[f11,f19]) ).
fof(f196,plain,
! [X4] : ld(ld(X4,X4),ld(X4,X4)) = mult(X4,ld(X4,ld(ld(X4,X4),ld(X4,X4)))),
inference(superposition,[],[f97,f17]) ).
fof(f97,plain,
! [X2,X3] : mult(ld(X2,X2),X3) = mult(X2,ld(X2,mult(ld(X2,X2),X3))),
inference(superposition,[],[f82,f17]) ).
fof(f552,plain,
! [X8,X9] : mult(X8,X9) = mult(rd(X8,ld(X9,X9)),X9),
inference(forward_demodulation,[],[f551,f481]) ).
fof(f551,plain,
! [X8,X9] : mult(rd(X8,ld(X9,X9)),X9) = mult(mult(X8,ld(X9,X9)),X9),
inference(forward_demodulation,[],[f529,f209]) ).
fof(f529,plain,
! [X8,X9] : mult(rd(X8,ld(X9,X9)),X9) = mult(mult(X8,ld(ld(X9,X9),ld(X9,X9))),X9),
inference(superposition,[],[f481,f330]) ).
fof(f815,plain,
! [X0,X1] : rd(X1,ld(X0,X0)) = mult(rd(X1,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f784,f209]) ).
fof(f784,plain,
! [X3,X4] : rd(X3,X4) = mult(rd(X3,X4),ld(X4,X4)),
inference(superposition,[],[f271,f2]) ).
fof(f1615,plain,
! [X18,X19,X20] : mult(mult(X20,rd(ld(X18,X18),ld(X19,X19))),X19) = mult(mult(X20,mult(X18,ld(X18,ld(X19,X19)))),X19),
inference(forward_demodulation,[],[f1568,f209]) ).
fof(f1568,plain,
! [X18,X19,X20] : mult(mult(X20,rd(ld(X18,X18),ld(X19,X19))),X19) = mult(mult(X20,mult(X18,ld(X18,ld(ld(X19,X19),ld(X19,X19))))),X19),
inference(superposition,[],[f637,f39]) ).
fof(f420,plain,
! [X6,X7,X5] : mult(mult(X5,ld(X6,X6)),X7) = mult(rd(X5,X6),ld(rd(X5,X6),mult(mult(X5,ld(X6,X6)),X7))),
inference(superposition,[],[f115,f330]) ).
fof(f115,plain,
! [X2,X3,X4] : mult(mult(X2,X3),X4) = mult(X2,ld(X2,mult(mult(X2,X3),X4))),
inference(backward_demodulation,[],[f95,f114]) ).
fof(f95,plain,
! [X2,X3,X4] : mult(X2,ld(X2,mult(mult(X2,X3),X4))) = mult(mult(X2,mult(X2,ld(X2,X3))),X4),
inference(superposition,[],[f82,f3]) ).
fof(f2973,plain,
! [X28,X26,X27] : mult(X26,ld(X26,mult(X27,ld(X27,X28)))) = mult(X26,ld(X26,X28)),
inference(forward_demodulation,[],[f2972,f669]) ).
fof(f2972,plain,
! [X28,X26,X27] : mult(X26,ld(X26,mult(X27,ld(X27,X28)))) = mult(ld(X26,X26),X28),
inference(forward_demodulation,[],[f2971,f2725]) ).
fof(f2971,plain,
! [X28,X26,X27] : mult(X26,ld(X26,mult(X27,ld(X27,X28)))) = mult(mult(ld(X26,X26),ld(X27,X27)),X28),
inference(forward_demodulation,[],[f2970,f822]) ).
fof(f2970,plain,
! [X28,X26,X27] : mult(rd(ld(X26,X26),ld(X27,X27)),X28) = mult(X26,ld(X26,mult(X27,ld(X27,X28)))),
inference(forward_demodulation,[],[f2969,f669]) ).
fof(f2969,plain,
! [X28,X26,X27] : mult(rd(ld(X26,X26),ld(X27,X27)),X28) = mult(X26,ld(X26,mult(ld(X27,X27),X28))),
inference(forward_demodulation,[],[f2968,f82]) ).
fof(f2968,plain,
! [X28,X26,X27] : mult(rd(ld(X26,X26),ld(X27,X27)),X28) = mult(mult(X26,ld(X26,ld(X27,X27))),X28),
inference(forward_demodulation,[],[f2883,f1950]) ).
fof(f2883,plain,
! [X28,X26,X27] : mult(rd(ld(X26,X26),ld(X27,X27)),X28) = mult(mult(X26,ld(X26,ld(ld(X27,X27),ld(X27,X27)))),X28),
inference(superposition,[],[f2725,f39]) ).
fof(f16,plain,
mult(x0,ld(x0,x2)) != mult(rd(x0,x1),ld(rd(x0,x1),x2)),
inference(superposition,[],[f9,f3]) ).
fof(f9,plain,
ld(rd(x0,x1),mult(rd(x0,x1),x2)) != mult(x0,ld(x0,x2)),
inference(backward_demodulation,[],[f8,f3]) ).
fof(f8,axiom,
ld(rd(x0,x1),mult(rd(x0,x1),x2)) != ld(x0,mult(x0,x2)),
file('/export/starexec/sandbox2/tmp/tmp.F1xuDiQdYO/Vampire---4.8_30141',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15 % Problem : GRP682-11 : TPTP v8.1.2. Released v8.1.0.
% 0.03/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.36 % Computer : n028.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Wed Aug 30 17:44:27 EDT 2023
% 0.12/0.36 % CPUTime :
% 0.17/0.42 % (30251)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.43 % (30252)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.17/0.43 % (30253)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.17/0.43 % (30254)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.17/0.43 % (30255)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.17/0.43 % (30256)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.17/0.43 % (30257)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.17/0.43 % (30258)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.17/0.43 TRYING [1]
% 0.17/0.43 TRYING [2]
% 0.17/0.43 TRYING [1]
% 0.17/0.43 TRYING [2]
% 0.17/0.43 TRYING [3]
% 0.17/0.44 TRYING [3]
% 0.17/0.45 TRYING [4]
% 0.17/0.48 TRYING [4]
% 0.17/0.57 TRYING [5]
% 3.18/0.98 TRYING [5]
% 4.29/1.10 % (30257)First to succeed.
% 4.29/1.10 % (30257)Refutation found. Thanks to Tanya!
% 4.29/1.10 % SZS status Unsatisfiable for Vampire---4
% 4.29/1.10 % SZS output start Proof for Vampire---4
% See solution above
% 4.29/1.10 % (30257)------------------------------
% 4.29/1.10 % (30257)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 4.29/1.10 % (30257)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 4.29/1.10 % (30257)Termination reason: Refutation
% 4.29/1.10
% 4.29/1.10 % (30257)Memory used [KB]: 14839
% 4.29/1.10 % (30257)Time elapsed: 0.673 s
% 4.29/1.10 % (30257)------------------------------
% 4.29/1.10 % (30257)------------------------------
% 4.29/1.10 % (30251)Success in time 0.714 s
% 4.29/1.11 % Vampire---4.8 exiting
% 4.29/1.11 30253 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.F1xuDiQdYO/Vampire---4.8_30141
% 4.29/1.11 % (30253)------------------------------
% 4.29/1.11 % (30253)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 4.29/1.11 % (30253)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 4.29/1.11 % (30253)Termination reason: Unknown
% 4.29/1.11 % (30253)Termination phase: Finite model building preprocessing
% 4.29/1.11
% 4.29/1.11 % (30253)Memory used [KB]: 20724
% 4.29/1.11 % (30253)Time elapsed: 0.679 s
% 4.29/1.11 % (30253)------------------------------
% 4.29/1.11 % (30253)------------------------------
%------------------------------------------------------------------------------