TSTP Solution File: GRP683+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : n004.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 15:57:21 EDT 2023
% Result : Theorem 0.21s 0.66s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 9
% Syntax : Number of formulae : 148 ( 137 unt; 0 def)
% Number of atoms : 161 ( 160 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 22 ~; 9 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 329 (; 323 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8643,plain,
$false,
inference(trivial_inequality_removal,[],[f8642]) ).
fof(f8642,plain,
mult(sK0,sK2) != mult(sK0,sK2),
inference(superposition,[],[f8578,f2699]) ).
fof(f2699,plain,
! [X16,X17,X15] : mult(mult(X17,ld(X15,X15)),X16) = mult(X17,X16),
inference(forward_demodulation,[],[f2684,f501]) ).
fof(f501,plain,
! [X2,X1] : mult(X1,X2) = mult(mult(X1,ld(X2,X2)),X2),
inference(forward_demodulation,[],[f500,f33]) ).
fof(f33,plain,
! [X0] : mult(X0,ld(X0,X0)) = X0,
inference(superposition,[],[f22,f20]) ).
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.dIAVG2PSZn/Vampire---4.8_29242',f01) ).
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.dIAVG2PSZn/Vampire---4.8_29242',f03) ).
fof(f500,plain,
! [X2,X1] : mult(mult(X1,ld(X2,X2)),X2) = mult(X1,mult(X2,ld(X2,X2))),
inference(forward_demodulation,[],[f490,f388]) ).
fof(f388,plain,
! [X14,X15,X13] : mult(mult(X13,X14),ld(X15,X15)) = mult(X13,mult(X14,ld(X15,X15))),
inference(forward_demodulation,[],[f387,f135]) ).
fof(f135,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f117,f22]) ).
fof(f117,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,ld(X0,mult(X0,X1))),
inference(superposition,[],[f103,f33]) ).
fof(f103,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(forward_demodulation,[],[f87,f22]) ).
fof(f87,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = ld(X0,mult(X0,mult(X1,X2))),
inference(superposition,[],[f31,f20]) ).
fof(f31,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.dIAVG2PSZn/Vampire---4.8_29242',f05) ).
fof(f387,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,[],[f386,f103]) ).
fof(f386,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,[],[f385,f349]) ).
fof(f349,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = mult(X1,ld(X0,X0)),
inference(backward_demodulation,[],[f23,f348]) ).
fof(f348,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[],[f321,f303]) ).
fof(f303,plain,
! [X2,X0] : mult(ld(X0,X0),mult(rd(X0,X2),X2)) = mult(X0,ld(X2,X2)),
inference(backward_demodulation,[],[f278,f302]) ).
fof(f302,plain,
! [X24,X22,X23] : rd(mult(X22,rd(X23,X24)),rd(X23,X24)) = mult(X22,ld(X24,X24)),
inference(forward_demodulation,[],[f301,f135]) ).
fof(f301,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,[],[f284,f57]) ).
fof(f57,plain,
! [X0,X1] : mult(X1,ld(X1,ld(X0,X0))) = mult(rd(ld(X1,X1),X0),X0),
inference(backward_demodulation,[],[f30,f51]) ).
fof(f51,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(forward_demodulation,[],[f45,f35]) ).
fof(f35,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f22,f33]) ).
fof(f45,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f30,f39]) ).
fof(f39,plain,
! [X0] : rd(X0,X0) = mult(rd(rd(X0,X0),X0),X0),
inference(superposition,[],[f23,f37]) ).
fof(f37,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(superposition,[],[f23,f21]) ).
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.dIAVG2PSZn/Vampire---4.8_29242',f02) ).
fof(f30,plain,
! [X0,X1] : mult(rd(rd(X1,X1),X0),X0) = mult(X1,ld(X1,ld(X0,X0))),
inference(forward_demodulation,[],[f29,f22]) ).
fof(f29,plain,
! [X0,X1] : ld(X1,mult(X1,ld(X0,X0))) = mult(rd(rd(X1,X1),X0),X0),
inference(forward_demodulation,[],[f24,f23]) ).
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.dIAVG2PSZn/Vampire---4.8_29242',f07) ).
fof(f284,plain,
! [X24,X22,X23] : mult(X22,mult(rd(ld(X22,X22),X24),X24)) = rd(mult(X22,rd(X23,X24)),rd(X23,X24)),
inference(superposition,[],[f32,f33]) ).
fof(f32,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.dIAVG2PSZn/Vampire---4.8_29242',f06) ).
fof(f278,plain,
! [X2,X0,X1] : mult(ld(X0,X0),mult(rd(X0,X2),X2)) = rd(mult(X0,rd(X1,X2)),rd(X1,X2)),
inference(superposition,[],[f32,f56]) ).
fof(f56,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(backward_demodulation,[],[f37,f51]) ).
fof(f321,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(ld(X0,X0),mult(rd(X0,X1),X1)),
inference(superposition,[],[f292,f56]) ).
fof(f292,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,X0),X0)) = rd(mult(mult(X1,X2),X0),X0),
inference(superposition,[],[f32,f21]) ).
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.dIAVG2PSZn/Vampire---4.8_29242',f04) ).
fof(f385,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,[],[f326,f348]) ).
fof(f326,plain,
! [X14,X15,X13] : mult(X13,mult(rd(mult(X13,ld(X13,X14)),X15),X15)) = rd(mult(mult(X13,X14),X15),X15),
inference(superposition,[],[f292,f135]) ).
fof(f490,plain,
! [X2,X1] : mult(mult(X1,X2),ld(X2,X2)) = mult(mult(X1,ld(X2,X2)),X2),
inference(superposition,[],[f349,f348]) ).
fof(f2684,plain,
! [X16,X17,X15] : mult(mult(X17,ld(X15,X15)),X16) = mult(mult(X17,ld(X16,X16)),X16),
inference(backward_demodulation,[],[f1285,f2681]) ).
fof(f2681,plain,
! [X24,X25,X23] : mult(X25,ld(X24,X24)) = mult(X25,mult(X23,ld(X23,ld(X24,X24)))),
inference(forward_demodulation,[],[f2680,f1797]) ).
fof(f1797,plain,
! [X31,X30] : ld(X30,X31) = ld(ld(X30,X30),ld(X30,X31)),
inference(superposition,[],[f1704,f1347]) ).
fof(f1347,plain,
! [X3,X4] : ld(X3,X4) = mult(X3,ld(X3,ld(X3,X4))),
inference(superposition,[],[f745,f20]) ).
fof(f745,plain,
! [X24,X22,X23] : ld(ld(X23,X24),mult(ld(X23,X24),X22)) = mult(X23,ld(X23,X22)),
inference(backward_demodulation,[],[f652,f735]) ).
fof(f735,plain,
! [X8,X9] : mult(X8,ld(X8,X9)) = mult(ld(X8,X8),X9),
inference(backward_demodulation,[],[f634,f734]) ).
fof(f734,plain,
! [X6,X7] : mult(X6,ld(X6,X7)) = mult(mult(X6,ld(X6,ld(X7,X7))),X7),
inference(forward_demodulation,[],[f732,f434]) ).
fof(f434,plain,
! [X2,X3] : mult(X2,ld(X2,ld(X3,X3))) = mult(ld(X2,X2),ld(X3,X3)),
inference(superposition,[],[f349,f57]) ).
fof(f732,plain,
! [X6,X7] : mult(X6,ld(X6,X7)) = mult(mult(ld(X6,X6),ld(X7,X7)),X7),
inference(backward_demodulation,[],[f533,f725]) ).
fof(f725,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = rd(X1,ld(X0,X0)),
inference(forward_demodulation,[],[f718,f542]) ).
fof(f542,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = mult(rd(X1,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f535,f228]) ).
fof(f228,plain,
! [X4] : ld(X4,X4) = ld(ld(X4,X4),ld(X4,X4)),
inference(forward_demodulation,[],[f215,f58]) ).
fof(f58,plain,
! [X1] : ld(X1,X1) = mult(X1,ld(X1,ld(ld(X1,X1),ld(X1,X1)))),
inference(forward_demodulation,[],[f46,f51]) ).
fof(f46,plain,
! [X1] : rd(X1,X1) = mult(X1,ld(X1,ld(rd(X1,X1),rd(X1,X1)))),
inference(superposition,[],[f30,f37]) ).
fof(f215,plain,
! [X4] : ld(ld(X4,X4),ld(X4,X4)) = mult(X4,ld(X4,ld(ld(X4,X4),ld(X4,X4)))),
inference(superposition,[],[f118,f35]) ).
fof(f118,plain,
! [X2,X3] : mult(ld(X2,X2),X3) = mult(X2,ld(X2,mult(ld(X2,X2),X3))),
inference(superposition,[],[f103,f35]) ).
fof(f535,plain,
! [X8,X9] : mult(X8,X9) = mult(rd(X8,ld(X9,X9)),X9),
inference(forward_demodulation,[],[f534,f501]) ).
fof(f534,plain,
! [X8,X9] : mult(rd(X8,ld(X9,X9)),X9) = mult(mult(X8,ld(X9,X9)),X9),
inference(forward_demodulation,[],[f512,f228]) ).
fof(f512,plain,
! [X8,X9] : mult(rd(X8,ld(X9,X9)),X9) = mult(mult(X8,ld(ld(X9,X9),ld(X9,X9))),X9),
inference(superposition,[],[f501,f349]) ).
fof(f718,plain,
! [X0,X1] : rd(X1,ld(X0,X0)) = mult(rd(X1,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f688,f228]) ).
fof(f688,plain,
! [X3,X4] : rd(X3,X4) = mult(rd(X3,X4),ld(X4,X4)),
inference(superposition,[],[f302,f21]) ).
fof(f533,plain,
! [X6,X7] : mult(X6,ld(X6,X7)) = mult(rd(ld(X6,X6),ld(X7,X7)),X7),
inference(forward_demodulation,[],[f532,f56]) ).
fof(f532,plain,
! [X6,X7] : mult(rd(ld(X6,X6),ld(X7,X7)),X7) = mult(X6,ld(X6,mult(ld(X7,X7),X7))),
inference(forward_demodulation,[],[f531,f103]) ).
fof(f531,plain,
! [X6,X7] : mult(rd(ld(X6,X6),ld(X7,X7)),X7) = mult(mult(X6,ld(X6,ld(X7,X7))),X7),
inference(forward_demodulation,[],[f511,f228]) ).
fof(f511,plain,
! [X6,X7] : mult(rd(ld(X6,X6),ld(X7,X7)),X7) = mult(mult(X6,ld(X6,ld(ld(X7,X7),ld(X7,X7)))),X7),
inference(superposition,[],[f501,f57]) ).
fof(f634,plain,
! [X8,X9] : mult(ld(X8,X8),X9) = mult(mult(X8,ld(X8,ld(X9,X9))),X9),
inference(superposition,[],[f501,f434]) ).
fof(f652,plain,
! [X24,X22,X23] : ld(ld(X23,X24),mult(ld(X23,X24),X22)) = mult(ld(X23,X23),X22),
inference(backward_demodulation,[],[f97,f634]) ).
fof(f97,plain,
! [X24,X22,X23] : mult(mult(X23,ld(X23,ld(X22,X22))),X22) = ld(ld(X23,X24),mult(ld(X23,X24),X22)),
inference(superposition,[],[f31,f56]) ).
fof(f1704,plain,
! [X2,X3] : mult(X2,X3) = ld(ld(X2,X2),mult(X2,X3)),
inference(forward_demodulation,[],[f1682,f1680]) ).
fof(f1680,plain,
! [X2,X3] : mult(X2,X3) = mult(X2,ld(X2,ld(ld(X2,X2),mult(X2,X3)))),
inference(superposition,[],[f169,f735]) ).
fof(f169,plain,
! [X2,X1] : mult(X1,X2) = mult(ld(X1,X1),ld(ld(X1,X1),mult(X1,X2))),
inference(forward_demodulation,[],[f167,f56]) ).
fof(f167,plain,
! [X2,X1] : mult(ld(X1,X1),ld(ld(X1,X1),mult(X1,X2))) = mult(mult(ld(X1,X1),X1),X2),
inference(superposition,[],[f103,f153]) ).
fof(f153,plain,
! [X1] : ld(ld(X1,X1),X1) = X1,
inference(backward_demodulation,[],[f54,f152]) ).
fof(f152,plain,
! [X4] : mult(ld(X4,X4),ld(ld(X4,X4),X4)) = X4,
inference(forward_demodulation,[],[f145,f56]) ).
fof(f145,plain,
! [X4] : mult(ld(X4,X4),ld(ld(X4,X4),X4)) = mult(ld(X4,X4),X4),
inference(superposition,[],[f135,f54]) ).
fof(f54,plain,
! [X1] : ld(ld(X1,X1),X1) = mult(ld(X1,X1),ld(ld(X1,X1),X1)),
inference(backward_demodulation,[],[f40,f51]) ).
fof(f40,plain,
! [X1] : ld(rd(X1,X1),X1) = mult(rd(X1,X1),ld(rd(X1,X1),X1)),
inference(superposition,[],[f22,f37]) ).
fof(f1682,plain,
! [X2,X3] : ld(ld(X2,X2),mult(X2,X3)) = mult(X2,ld(X2,ld(ld(X2,X2),mult(X2,X3)))),
inference(superposition,[],[f745,f169]) ).
fof(f2680,plain,
! [X24,X25,X23] : mult(X25,ld(X24,X24)) = mult(X25,mult(X23,ld(X23,ld(ld(X24,X24),ld(X24,X24))))),
inference(forward_demodulation,[],[f2606,f2647]) ).
fof(f2647,plain,
! [X16,X15] : mult(X15,ld(X15,ld(X16,X16))) = ld(mult(X15,ld(X15,X16)),mult(X15,ld(X15,X16))),
inference(backward_demodulation,[],[f1419,f2646]) ).
fof(f2646,plain,
! [X14,X15,X13] : mult(mult(X13,ld(X13,X14)),ld(mult(X13,ld(X13,X14)),ld(X15,X15))) = mult(X13,ld(X13,ld(X15,X15))),
inference(forward_demodulation,[],[f2645,f744]) ).
fof(f744,plain,
! [X2,X3] : mult(X2,ld(X2,ld(X3,X3))) = rd(mult(X2,ld(X2,X3)),X3),
inference(backward_demodulation,[],[f587,f735]) ).
fof(f587,plain,
! [X2,X3] : mult(X2,ld(X2,ld(X3,X3))) = rd(mult(ld(X2,X2),X3),X3),
inference(forward_demodulation,[],[f556,f448]) ).
fof(f448,plain,
! [X3,X5] : mult(rd(ld(X3,X3),X3),mult(X3,ld(X5,X5))) = mult(X3,ld(X3,ld(X5,X5))),
inference(backward_demodulation,[],[f360,f434]) ).
fof(f360,plain,
! [X3,X5] : mult(ld(X3,X3),ld(X5,X5)) = mult(rd(ld(X3,X3),X3),mult(X3,ld(X5,X5))),
inference(backward_demodulation,[],[f304,f349]) ).
fof(f304,plain,
! [X3,X5] : mult(rd(ld(X3,X3),X3),mult(rd(X3,X5),X5)) = mult(ld(X3,X3),ld(X5,X5)),
inference(backward_demodulation,[],[f279,f302]) ).
fof(f279,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,[],[f32,f55]) ).
fof(f55,plain,
! [X0] : ld(X0,X0) = mult(rd(ld(X0,X0),X0),X0),
inference(backward_demodulation,[],[f39,f51]) ).
fof(f556,plain,
! [X2,X3] : rd(mult(ld(X2,X2),X3),X3) = mult(rd(ld(X2,X2),X2),mult(X2,ld(X3,X3))),
inference(superposition,[],[f351,f55]) ).
fof(f351,plain,
! [X2,X0,X1] : rd(mult(mult(X1,X2),X0),X0) = mult(X1,mult(X2,ld(X0,X0))),
inference(backward_demodulation,[],[f292,f349]) ).
fof(f2645,plain,
! [X14,X15,X13] : mult(mult(X13,ld(X13,X14)),ld(mult(X13,ld(X13,X14)),ld(X15,X15))) = rd(mult(X13,ld(X13,X15)),X15),
inference(forward_demodulation,[],[f2594,f1354]) ).
fof(f1354,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,[],[f142,f1353]) ).
fof(f1353,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,[],[f1333,f103]) ).
fof(f1333,plain,
! [X2,X3,X4] : mult(X2,ld(X2,X4)) = ld(mult(X2,ld(X2,X3)),mult(mult(X2,ld(X2,X3)),X4)),
inference(superposition,[],[f745,f22]) ).
fof(f142,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,[],[f130,f103]) ).
fof(f130,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,[],[f22,f103]) ).
fof(f2594,plain,
! [X14,X15,X13] : mult(mult(X13,ld(X13,X14)),ld(mult(X13,ld(X13,X14)),ld(X15,X15))) = rd(mult(X13,ld(X13,mult(X14,ld(mult(X13,ld(X13,X14)),X15)))),X15),
inference(superposition,[],[f744,f103]) ).
fof(f1419,plain,
! [X16,X15] : mult(mult(X15,ld(X15,X16)),ld(mult(X15,ld(X15,X16)),ld(X16,X16))) = ld(mult(X15,ld(X15,X16)),mult(X15,ld(X15,X16))),
inference(superposition,[],[f22,f746]) ).
fof(f746,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = mult(mult(X1,ld(X1,X0)),ld(X0,X0)),
inference(backward_demodulation,[],[f653,f735]) ).
fof(f653,plain,
! [X0,X1] : mult(mult(X1,ld(X1,X0)),ld(X0,X0)) = mult(ld(X1,X1),X0),
inference(backward_demodulation,[],[f90,f652]) ).
fof(f90,plain,
! [X2,X0,X1] : mult(mult(X1,ld(X1,X0)),ld(X0,X0)) = ld(ld(X1,X2),mult(ld(X1,X2),X0)),
inference(superposition,[],[f31,f33]) ).
fof(f2606,plain,
! [X24,X25,X23] : mult(X25,ld(X24,X24)) = mult(X25,ld(mult(X23,ld(X23,ld(X24,X24))),mult(X23,ld(X23,ld(X24,X24))))),
inference(superposition,[],[f701,f744]) ).
fof(f701,plain,
! [X10,X8,X9] : mult(X10,ld(rd(X8,X9),rd(X8,X9))) = mult(X10,ld(X9,X9)),
inference(forward_demodulation,[],[f683,f682]) ).
fof(f682,plain,
! [X6,X4,X5] : mult(X6,ld(X5,X5)) = rd(mult(X6,mult(X4,ld(X5,X5))),mult(X4,ld(X5,X5))),
inference(superposition,[],[f302,f348]) ).
fof(f683,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,[],[f302,f302]) ).
fof(f1285,plain,
! [X16,X17,X15] : mult(mult(X17,mult(X15,ld(X15,ld(X16,X16)))),X16) = mult(mult(X17,ld(X15,X15)),X16),
inference(forward_demodulation,[],[f1284,f620]) ).
fof(f620,plain,
! [X6,X7,X5] : mult(mult(X5,X6),X7) = mult(mult(X5,mult(X6,ld(X7,X7))),X7),
inference(forward_demodulation,[],[f619,f33]) ).
fof(f619,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,[],[f584,f388]) ).
fof(f584,plain,
! [X6,X7,X5] : mult(mult(mult(X5,X6),X7),ld(X7,X7)) = mult(mult(X5,mult(X6,ld(X7,X7))),X7),
inference(superposition,[],[f349,f351]) ).
fof(f1284,plain,
! [X16,X17,X15] : mult(mult(X17,mult(X15,ld(X15,ld(X16,X16)))),X16) = mult(mult(X17,mult(ld(X15,X15),ld(X16,X16))),X16),
inference(forward_demodulation,[],[f1283,f725]) ).
fof(f1283,plain,
! [X16,X17,X15] : mult(mult(X17,rd(ld(X15,X15),ld(X16,X16))),X16) = mult(mult(X17,mult(X15,ld(X15,ld(X16,X16)))),X16),
inference(forward_demodulation,[],[f1239,f228]) ).
fof(f1239,plain,
! [X16,X17,X15] : mult(mult(X17,rd(ld(X15,X15),ld(X16,X16))),X16) = mult(mult(X17,mult(X15,ld(X15,ld(ld(X16,X16),ld(X16,X16))))),X16),
inference(superposition,[],[f620,f57]) ).
fof(f8578,plain,
mult(sK0,sK2) != mult(mult(sK0,ld(sK1,sK1)),sK2),
inference(trivial_inequality_removal,[],[f8577]) ).
fof(f8577,plain,
( mult(sK0,sK2) != mult(sK0,sK2)
| mult(sK0,sK2) != mult(mult(sK0,ld(sK1,sK1)),sK2) ),
inference(backward_demodulation,[],[f369,f8575]) ).
fof(f8575,plain,
! [X16,X14,X15] : mult(X14,X16) = mult(X14,mult(X15,ld(X15,X16))),
inference(forward_demodulation,[],[f8476,f135]) ).
fof(f8476,plain,
! [X16,X14,X15] : mult(X14,mult(X15,ld(X15,X16))) = mult(X14,mult(X14,ld(X14,X16))),
inference(superposition,[],[f135,f2814]) ).
fof(f2814,plain,
! [X28,X26,X27] : mult(X26,ld(X26,mult(X27,ld(X27,X28)))) = mult(X26,ld(X26,X28)),
inference(forward_demodulation,[],[f2813,f735]) ).
fof(f2813,plain,
! [X28,X26,X27] : mult(X26,ld(X26,mult(X27,ld(X27,X28)))) = mult(ld(X26,X26),X28),
inference(forward_demodulation,[],[f2812,f2699]) ).
fof(f2812,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,[],[f2811,f725]) ).
fof(f2811,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,[],[f2810,f735]) ).
fof(f2810,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,[],[f2809,f103]) ).
fof(f2809,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,[],[f2729,f1797]) ).
fof(f2729,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,[],[f2699,f57]) ).
fof(f369,plain,
( mult(sK0,sK2) != mult(sK0,mult(sK1,ld(sK1,sK2)))
| mult(sK0,sK2) != mult(mult(sK0,ld(sK1,sK1)),sK2) ),
inference(backward_demodulation,[],[f28,f349]) ).
fof(f28,plain,
( mult(sK0,sK2) != mult(sK0,mult(sK1,ld(sK1,sK2)))
| mult(sK0,sK2) != mult(mult(rd(sK0,sK1),sK1),sK2) ),
inference(backward_demodulation,[],[f27,f23]) ).
fof(f27,plain,
( mult(sK0,sK2) != mult(sK0,mult(sK1,ld(sK1,sK2)))
| mult(sK0,sK2) != mult(rd(mult(sK0,sK1),sK1),sK2) ),
inference(backward_demodulation,[],[f19,f22]) ).
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.dIAVG2PSZn/Vampire---4.8_29242',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP683+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 30 17:17:36 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.41 % (29352)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (29353)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.42 % (29357)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)
% 0.21/0.42 % (29356)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.42 % (29354)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.42 % (29355)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)
% 0.21/0.42 % (29358)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)
% 0.21/0.42 % (29359)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)
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [3]
% 0.21/0.44 TRYING [3]
% 0.21/0.44 TRYING [4]
% 0.21/0.50 TRYING [4]
% 0.21/0.54 TRYING [5]
% 0.21/0.63 TRYING [1]
% 0.21/0.63 TRYING [2]
% 0.21/0.63 TRYING [3]
% 0.21/0.64 TRYING [4]
% 0.21/0.65 % (29358)First to succeed.
% 0.21/0.66 % (29358)Refutation found. Thanks to Tanya!
% 0.21/0.66 % SZS status Theorem for Vampire---4
% 0.21/0.66 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.66 % (29358)------------------------------
% 0.21/0.66 % (29358)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.66 % (29358)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.66 % (29358)Termination reason: Refutation
% 0.21/0.66
% 0.21/0.66 % (29358)Memory used [KB]: 7036
% 0.21/0.66 % (29358)Time elapsed: 0.238 s
% 0.21/0.66 % (29358)------------------------------
% 0.21/0.66 % (29358)------------------------------
% 0.21/0.66 % (29352)Success in time 0.298 s
% 0.21/0.66 % Vampire---4.8 exiting
%------------------------------------------------------------------------------