TSTP Solution File: KLE147+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE147+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 : n020.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 05:37:02 EDT 2023
% Result : Theorem 15.36s 2.57s
% Output : Refutation 15.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 22
% Syntax : Number of formulae : 145 ( 112 unt; 0 def)
% Number of atoms : 180 ( 160 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 74 ( 39 ~; 30 |; 1 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 169 (; 165 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f141808,plain,
$false,
inference(trivial_inequality_removal,[],[f140083]) ).
fof(f140083,plain,
sF4 != sF4,
inference(backward_demodulation,[],[f55,f140081]) ).
fof(f140081,plain,
sF4 = sF6,
inference(forward_demodulation,[],[f139650,f54]) ).
fof(f54,plain,
multiplication(sF5,sF4) = sF6,
introduced(function_definition,[]) ).
fof(f139650,plain,
sF4 = multiplication(sF5,sF4),
inference(backward_demodulation,[],[f58860,f139484]) ).
fof(f139484,plain,
sF4 = star(sF4),
inference(trivial_inequality_removal,[],[f139390]) ).
fof(f139390,plain,
( sF4 != sF4
| sF4 = star(sF4) ),
inference(backward_demodulation,[],[f13784,f139380]) ).
fof(f139380,plain,
sF4 = multiplication(sF4,sF4),
inference(forward_demodulation,[],[f139379,f1548]) ).
fof(f1548,plain,
! [X28] : multiplication(X28,sF4) = addition(X28,multiplication(X28,sF4)),
inference(superposition,[],[f477,f274]) ).
fof(f274,plain,
sF4 = addition(one,sF4),
inference(superposition,[],[f223,f93]) ).
fof(f93,plain,
sF4 = addition(one,multiplication(sF3,sF4)),
inference(forward_demodulation,[],[f85,f40]) ).
fof(f40,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.z0oB5nKh5R/Vampire---4.8_3975',additive_commutativity) ).
fof(f85,plain,
sF4 = addition(multiplication(sF3,sF4),one),
inference(superposition,[],[f36,f52]) ).
fof(f52,plain,
strong_iteration(sF3) = sF4,
introduced(function_definition,[]) ).
fof(f36,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox/tmp/tmp.z0oB5nKh5R/Vampire---4.8_3975',infty_unfold1) ).
fof(f223,plain,
! [X2,X3] : addition(X2,X3) = addition(X2,addition(X2,X3)),
inference(superposition,[],[f43,f35]) ).
fof(f35,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.z0oB5nKh5R/Vampire---4.8_3975',idempotence) ).
fof(f43,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.z0oB5nKh5R/Vampire---4.8_3975',additive_associativity) ).
fof(f477,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f45,f33]) ).
fof(f33,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/tmp/tmp.z0oB5nKh5R/Vampire---4.8_3975',multiplicative_right_identity) ).
fof(f45,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/tmp/tmp.z0oB5nKh5R/Vampire---4.8_3975',distributivity1) ).
fof(f139379,plain,
sF4 = addition(sF4,multiplication(sF4,sF4)),
inference(forward_demodulation,[],[f139378,f52]) ).
fof(f139378,plain,
strong_iteration(sF3) = addition(strong_iteration(sF3),multiplication(sF4,sF4)),
inference(forward_demodulation,[],[f139377,f40]) ).
fof(f139377,plain,
strong_iteration(sF3) = addition(multiplication(sF4,sF4),strong_iteration(sF3)),
inference(forward_demodulation,[],[f139376,f33]) ).
fof(f139376,plain,
multiplication(strong_iteration(sF3),one) = addition(multiplication(sF4,sF4),multiplication(strong_iteration(sF3),one)),
inference(trivial_inequality_removal,[],[f139375]) ).
fof(f139375,plain,
( multiplication(sF4,sF4) != multiplication(sF4,sF4)
| multiplication(strong_iteration(sF3),one) = addition(multiplication(sF4,sF4),multiplication(strong_iteration(sF3),one)) ),
inference(forward_demodulation,[],[f139328,f35]) ).
fof(f139328,plain,
( multiplication(sF4,sF4) != addition(multiplication(sF4,sF4),multiplication(sF4,sF4))
| multiplication(strong_iteration(sF3),one) = addition(multiplication(sF4,sF4),multiplication(strong_iteration(sF3),one)) ),
inference(superposition,[],[f2388,f52581]) ).
fof(f52581,plain,
multiplication(sF4,sF4) = addition(one,multiplication(sF3,multiplication(sF4,sF4))),
inference(forward_demodulation,[],[f52580,f3672]) ).
fof(f3672,plain,
! [X29] : multiplication(sF4,X29) = addition(X29,multiplication(sF3,multiplication(sF4,X29))),
inference(forward_demodulation,[],[f3567,f44]) ).
fof(f44,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.z0oB5nKh5R/Vampire---4.8_3975',multiplicative_associativity) ).
fof(f3567,plain,
! [X29] : multiplication(sF4,X29) = addition(X29,multiplication(multiplication(sF3,sF4),X29)),
inference(superposition,[],[f688,f93]) ).
fof(f688,plain,
! [X8,X9] : multiplication(addition(one,X9),X8) = addition(X8,multiplication(X9,X8)),
inference(superposition,[],[f46,f34]) ).
fof(f34,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.z0oB5nKh5R/Vampire---4.8_3975',multiplicative_left_identity) ).
fof(f46,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.z0oB5nKh5R/Vampire---4.8_3975',distributivity2) ).
fof(f52580,plain,
addition(sF4,multiplication(sF3,multiplication(sF4,sF4))) = addition(one,multiplication(sF3,multiplication(sF4,sF4))),
inference(forward_demodulation,[],[f52490,f44]) ).
fof(f52490,plain,
addition(sF4,multiplication(multiplication(sF3,sF4),sF4)) = addition(one,multiplication(multiplication(sF3,sF4),sF4)),
inference(superposition,[],[f235,f1548]) ).
fof(f235,plain,
! [X27] : addition(one,addition(multiplication(sF3,sF4),X27)) = addition(sF4,X27),
inference(superposition,[],[f43,f93]) ).
fof(f2388,plain,
! [X10,X11,X9] :
( addition(X11,multiplication(X9,X10)) != addition(X10,addition(X11,multiplication(X9,X10)))
| multiplication(strong_iteration(X9),X11) = addition(X10,multiplication(strong_iteration(X9),X11)) ),
inference(superposition,[],[f57,f40]) ).
fof(f57,plain,
! [X2,X0,X1] :
( addition(multiplication(X0,X2),X1) != addition(X2,addition(multiplication(X0,X2),X1))
| multiplication(strong_iteration(X0),X1) = addition(X2,multiplication(strong_iteration(X0),X1)) ),
inference(forward_literal_rewriting,[],[f56,f42]) ).
fof(f42,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.z0oB5nKh5R/Vampire---4.8_3975',order) ).
fof(f56,plain,
! [X2,X0,X1] :
( multiplication(strong_iteration(X0),X1) = addition(X2,multiplication(strong_iteration(X0),X1))
| ~ leq(X2,addition(multiplication(X0,X2),X1)) ),
inference(forward_literal_rewriting,[],[f47,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f29]) ).
fof(f47,plain,
! [X2,X0,X1] :
( leq(X2,multiplication(strong_iteration(X0),X1))
| ~ leq(X2,addition(multiplication(X0,X2),X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( leq(X2,multiplication(strong_iteration(X0),X1))
| ~ leq(X2,addition(multiplication(X0,X2),X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2] :
( leq(X2,addition(multiplication(X0,X2),X1))
=> leq(X2,multiplication(strong_iteration(X0),X1)) ),
file('/export/starexec/sandbox/tmp/tmp.z0oB5nKh5R/Vampire---4.8_3975',infty_coinduction) ).
fof(f13784,plain,
( sF4 != multiplication(sF4,sF4)
| sF4 = star(sF4) ),
inference(forward_demodulation,[],[f13624,f1850]) ).
fof(f1850,plain,
star(sF4) = multiplication(star(sF4),sF4),
inference(superposition,[],[f1548,f449]) ).
fof(f449,plain,
! [X17] : star(X17) = addition(star(X17),multiplication(star(X17),X17)),
inference(forward_demodulation,[],[f421,f40]) ).
fof(f421,plain,
! [X17] : star(X17) = addition(multiplication(star(X17),X17),star(X17)),
inference(superposition,[],[f261,f38]) ).
fof(f38,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] : star(X0) = addition(one,multiplication(star(X0),X0)),
file('/export/starexec/sandbox/tmp/tmp.z0oB5nKh5R/Vampire---4.8_3975',star_unfold2) ).
fof(f261,plain,
! [X2,X1] : addition(X2,X1) = addition(X1,addition(X2,X1)),
inference(superposition,[],[f223,f40]) ).
fof(f13624,plain,
( sF4 != multiplication(sF4,sF4)
| sF4 = multiplication(star(sF4),sF4) ),
inference(superposition,[],[f3664,f1548]) ).
fof(f3664,plain,
! [X8,X7] :
( addition(X8,multiplication(X7,X8)) != X8
| multiplication(star(X7),X8) = X8 ),
inference(backward_demodulation,[],[f2071,f3663]) ).
fof(f3663,plain,
! [X21,X20] : multiplication(star(X20),X21) = addition(X21,multiplication(star(X20),multiplication(X20,X21))),
inference(forward_demodulation,[],[f3559,f44]) ).
fof(f3559,plain,
! [X21,X20] : addition(X21,multiplication(multiplication(star(X20),X20),X21)) = multiplication(star(X20),X21),
inference(superposition,[],[f688,f38]) ).
fof(f2071,plain,
! [X8,X7] :
( addition(X8,multiplication(star(X7),multiplication(X7,X8))) = X8
| addition(X8,multiplication(X7,X8)) != X8 ),
inference(forward_demodulation,[],[f2027,f40]) ).
fof(f2027,plain,
! [X8,X7] :
( addition(X8,multiplication(X7,X8)) != X8
| addition(multiplication(star(X7),multiplication(X7,X8)),X8) = X8 ),
inference(superposition,[],[f63,f35]) ).
fof(f63,plain,
! [X2,X0,X1] :
( addition(X2,addition(multiplication(X0,X2),X1)) != X2
| addition(multiplication(star(X0),X1),X2) = X2 ),
inference(forward_demodulation,[],[f62,f40]) ).
fof(f62,plain,
! [X2,X0,X1] :
( addition(addition(multiplication(X0,X2),X1),X2) != X2
| addition(multiplication(star(X0),X1),X2) = X2 ),
inference(forward_literal_rewriting,[],[f61,f42]) ).
fof(f61,plain,
! [X2,X0,X1] :
( addition(multiplication(star(X0),X1),X2) = X2
| ~ leq(addition(multiplication(X0,X2),X1),X2) ),
inference(forward_literal_rewriting,[],[f49,f41]) ).
fof(f49,plain,
! [X2,X0,X1] :
( leq(multiplication(star(X0),X1),X2)
| ~ leq(addition(multiplication(X0,X2),X1),X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X1),X2)
| ~ leq(addition(multiplication(X0,X2),X1),X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X2),X1),X2)
=> leq(multiplication(star(X0),X1),X2) ),
file('/export/starexec/sandbox/tmp/tmp.z0oB5nKh5R/Vampire---4.8_3975',star_induction1) ).
fof(f58860,plain,
star(sF4) = multiplication(sF5,star(sF4)),
inference(forward_demodulation,[],[f58859,f4640]) ).
fof(f4640,plain,
multiplication(sF5,star(sF4)) = multiplication(sF6,star(sF4)),
inference(superposition,[],[f321,f4572]) ).
fof(f4572,plain,
star(sF4) = multiplication(sF4,star(sF4)),
inference(superposition,[],[f3583,f447]) ).
fof(f447,plain,
! [X15] : star(X15) = addition(star(X15),multiplication(X15,star(X15))),
inference(forward_demodulation,[],[f419,f40]) ).
fof(f419,plain,
! [X15] : star(X15) = addition(multiplication(X15,star(X15)),star(X15)),
inference(superposition,[],[f261,f37]) ).
fof(f37,plain,
! [X0] : star(X0) = addition(one,multiplication(X0,star(X0))),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : star(X0) = addition(one,multiplication(X0,star(X0))),
file('/export/starexec/sandbox/tmp/tmp.z0oB5nKh5R/Vampire---4.8_3975',star_unfold1) ).
fof(f3583,plain,
! [X47] : multiplication(sF4,X47) = addition(X47,multiplication(sF4,X47)),
inference(superposition,[],[f688,f274]) ).
fof(f321,plain,
! [X11] : multiplication(sF5,multiplication(sF4,X11)) = multiplication(sF6,X11),
inference(superposition,[],[f44,f54]) ).
fof(f58859,plain,
star(sF4) = multiplication(sF6,star(sF4)),
inference(trivial_inequality_removal,[],[f58851]) ).
fof(f58851,plain,
( star(sF4) != star(sF4)
| star(sF4) = multiplication(sF6,star(sF4)) ),
inference(superposition,[],[f29850,f4572]) ).
fof(f29850,plain,
! [X227] :
( multiplication(sF4,X227) != X227
| multiplication(sF6,X227) = X227 ),
inference(forward_demodulation,[],[f29849,f3585]) ).
fof(f3585,plain,
! [X49] : multiplication(sF6,X49) = addition(X49,multiplication(sF6,X49)),
inference(superposition,[],[f688,f1892]) ).
fof(f1892,plain,
sF6 = addition(one,sF6),
inference(forward_demodulation,[],[f1868,f54]) ).
fof(f1868,plain,
multiplication(sF5,sF4) = addition(one,multiplication(sF5,sF4)),
inference(superposition,[],[f309,f1548]) ).
fof(f309,plain,
! [X0] : addition(sF5,X0) = addition(one,addition(sF5,X0)),
inference(superposition,[],[f43,f272]) ).
fof(f272,plain,
sF5 = addition(one,sF5),
inference(superposition,[],[f223,f109]) ).
fof(f109,plain,
sF5 = addition(one,multiplication(sK1,sF5)),
inference(superposition,[],[f37,f53]) ).
fof(f53,plain,
star(sK1) = sF5,
introduced(function_definition,[]) ).
fof(f29849,plain,
! [X227] :
( addition(X227,multiplication(sF6,X227)) = X227
| multiplication(sF4,X227) != X227 ),
inference(forward_demodulation,[],[f29848,f321]) ).
fof(f29848,plain,
! [X227] :
( addition(X227,multiplication(sF5,multiplication(sF4,X227))) = X227
| multiplication(sF4,X227) != X227 ),
inference(forward_demodulation,[],[f29847,f53]) ).
fof(f29847,plain,
! [X227] :
( multiplication(sF4,X227) != X227
| addition(X227,multiplication(star(sK1),multiplication(sF4,X227))) = X227 ),
inference(forward_demodulation,[],[f29314,f3583]) ).
fof(f29314,plain,
! [X227] :
( addition(X227,multiplication(sF4,X227)) != X227
| addition(X227,multiplication(star(sK1),multiplication(sF4,X227))) = X227 ),
inference(superposition,[],[f2070,f5429]) ).
fof(f5429,plain,
sF4 = addition(sK1,sF4),
inference(superposition,[],[f4138,f3850]) ).
fof(f3850,plain,
sF4 = addition(sF3,sF4),
inference(forward_demodulation,[],[f3849,f293]) ).
fof(f293,plain,
sF4 = addition(sF4,star(sF3)),
inference(forward_demodulation,[],[f279,f40]) ).
fof(f279,plain,
sF4 = addition(star(sF3),sF4),
inference(superposition,[],[f223,f138]) ).
fof(f138,plain,
sF4 = addition(star(sF3),multiplication(sF4,zero)),
inference(superposition,[],[f39,f52]) ).
fof(f39,plain,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
file('/export/starexec/sandbox/tmp/tmp.z0oB5nKh5R/Vampire---4.8_3975',isolation) ).
fof(f3849,plain,
addition(sF4,star(sF3)) = addition(sF3,sF4),
inference(forward_demodulation,[],[f3824,f40]) ).
fof(f3824,plain,
addition(sF4,star(sF3)) = addition(sF4,sF3),
inference(superposition,[],[f758,f3725]) ).
fof(f3725,plain,
! [X19] : star(X19) = addition(X19,star(X19)),
inference(forward_demodulation,[],[f3724,f2125]) ).
fof(f2125,plain,
! [X11] : star(X11) = multiplication(star(X11),addition(X11,one)),
inference(superposition,[],[f1567,f40]) ).
fof(f1567,plain,
! [X12] : star(X12) = multiplication(star(X12),addition(one,X12)),
inference(superposition,[],[f477,f449]) ).
fof(f3724,plain,
! [X19] : multiplication(star(X19),addition(X19,one)) = addition(X19,star(X19)),
inference(forward_demodulation,[],[f3723,f268]) ).
fof(f268,plain,
! [X13] : star(X13) = addition(one,star(X13)),
inference(superposition,[],[f223,f37]) ).
fof(f3723,plain,
! [X19] : multiplication(addition(one,star(X19)),addition(X19,one)) = addition(X19,addition(one,star(X19))),
inference(forward_demodulation,[],[f3722,f1340]) ).
fof(f1340,plain,
! [X10,X11,X12] : addition(X11,addition(X10,X12)) = addition(X11,addition(X12,X10)),
inference(superposition,[],[f253,f245]) ).
fof(f245,plain,
! [X8,X9,X7] : addition(X7,addition(X8,X9)) = addition(X9,addition(X7,X8)),
inference(superposition,[],[f43,f40]) ).
fof(f253,plain,
! [X6,X4,X5] : addition(X4,addition(X5,X6)) = addition(X5,addition(X4,X6)),
inference(forward_demodulation,[],[f224,f43]) ).
fof(f224,plain,
! [X6,X4,X5] : addition(X4,addition(X5,X6)) = addition(addition(X5,X4),X6),
inference(superposition,[],[f43,f40]) ).
fof(f3722,plain,
! [X19] : multiplication(addition(one,star(X19)),addition(X19,one)) = addition(X19,addition(star(X19),one)),
inference(forward_demodulation,[],[f3721,f253]) ).
fof(f3721,plain,
! [X19] : multiplication(addition(one,star(X19)),addition(X19,one)) = addition(star(X19),addition(X19,one)),
inference(forward_demodulation,[],[f3611,f40]) ).
fof(f3611,plain,
! [X19] : multiplication(addition(one,star(X19)),addition(X19,one)) = addition(addition(X19,one),star(X19)),
inference(superposition,[],[f688,f2125]) ).
fof(f758,plain,
! [X0] : addition(sF4,X0) = addition(sF4,addition(X0,star(sF3))),
inference(superposition,[],[f340,f40]) ).
fof(f340,plain,
! [X0] : addition(sF4,X0) = addition(sF4,addition(star(sF3),X0)),
inference(superposition,[],[f43,f293]) ).
fof(f4138,plain,
! [X0] : addition(sF3,X0) = addition(sK1,addition(sF3,X0)),
inference(superposition,[],[f43,f4091]) ).
fof(f4091,plain,
sF3 = addition(sK1,sF3),
inference(forward_demodulation,[],[f4064,f33]) ).
fof(f4064,plain,
multiplication(sF3,one) = addition(sK1,sF3),
inference(superposition,[],[f3736,f33]) ).
fof(f3736,plain,
! [X22] : multiplication(sF3,X22) = multiplication(addition(sK1,sF3),X22),
inference(forward_demodulation,[],[f3735,f320]) ).
fof(f320,plain,
! [X10] : multiplication(sF2,multiplication(sK1,X10)) = multiplication(sF3,X10),
inference(superposition,[],[f44,f51]) ).
fof(f51,plain,
multiplication(sF2,sK1) = sF3,
introduced(function_definition,[]) ).
fof(f3735,plain,
! [X22] : multiplication(sF2,multiplication(sK1,X22)) = multiplication(addition(sK1,sF3),X22),
inference(forward_demodulation,[],[f3734,f271]) ).
fof(f271,plain,
sF2 = addition(one,sF2),
inference(superposition,[],[f223,f108]) ).
fof(f108,plain,
sF2 = addition(one,multiplication(sK0,sF2)),
inference(superposition,[],[f37,f50]) ).
fof(f50,plain,
star(sK0) = sF2,
introduced(function_definition,[]) ).
fof(f3734,plain,
! [X22] : multiplication(addition(one,sF2),multiplication(sK1,X22)) = multiplication(addition(sK1,sF3),X22),
inference(forward_demodulation,[],[f3614,f46]) ).
fof(f3614,plain,
! [X22] : multiplication(addition(one,sF2),multiplication(sK1,X22)) = addition(multiplication(sK1,X22),multiplication(sF3,X22)),
inference(superposition,[],[f688,f320]) ).
fof(f2070,plain,
! [X6,X4,X5] :
( addition(X5,multiplication(addition(X4,X6),X5)) != X5
| addition(X5,multiplication(star(X4),multiplication(X6,X5))) = X5 ),
inference(forward_demodulation,[],[f2026,f40]) ).
fof(f2026,plain,
! [X6,X4,X5] :
( addition(X5,multiplication(addition(X4,X6),X5)) != X5
| addition(multiplication(star(X4),multiplication(X6,X5)),X5) = X5 ),
inference(superposition,[],[f63,f46]) ).
fof(f55,plain,
sF4 != sF6,
inference(definition_folding,[],[f30,f54,f52,f51,f50,f53,f52,f51,f50]) ).
fof(f30,plain,
strong_iteration(multiplication(star(sK0),sK1)) != multiplication(star(sK1),strong_iteration(multiplication(star(sK0),sK1))),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
strong_iteration(multiplication(star(sK0),sK1)) != multiplication(star(sK1),strong_iteration(multiplication(star(sK0),sK1))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f23,f27]) ).
fof(f27,plain,
( ? [X0,X1] : strong_iteration(multiplication(star(X0),X1)) != multiplication(star(X1),strong_iteration(multiplication(star(X0),X1)))
=> strong_iteration(multiplication(star(sK0),sK1)) != multiplication(star(sK1),strong_iteration(multiplication(star(sK0),sK1))) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0,X1] : strong_iteration(multiplication(star(X0),X1)) != multiplication(star(X1),strong_iteration(multiplication(star(X0),X1))),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0,X1] : strong_iteration(multiplication(star(X0),X1)) = multiplication(star(X1),strong_iteration(multiplication(star(X0),X1))),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3,X4] : strong_iteration(multiplication(star(X3),X4)) = multiplication(star(X4),strong_iteration(multiplication(star(X3),X4))),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3,X4] : strong_iteration(multiplication(star(X3),X4)) = multiplication(star(X4),strong_iteration(multiplication(star(X3),X4))),
file('/export/starexec/sandbox/tmp/tmp.z0oB5nKh5R/Vampire---4.8_3975',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE147+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n020.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 : Tue Aug 29 11:23:43 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.z0oB5nKh5R/Vampire---4.8_3975
% 0.15/0.37 % (4225)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (4230)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)
% 0.22/0.43 % (4227)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)
% 0.22/0.43 % (4232)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)
% 0.22/0.43 % (4228)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)
% 0.22/0.43 % (4231)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)
% 0.22/0.43 % (4231)Refutation not found, incomplete strategy% (4231)------------------------------
% 0.22/0.43 % (4231)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (4231)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (4231)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43 % (4231)Memory used [KB]: 895
% 0.22/0.43 % (4231)Time elapsed: 0.004 s
% 0.22/0.43 % (4231)------------------------------
% 0.22/0.43 % (4231)------------------------------
% 0.22/0.43 % (4234)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)
% 0.22/0.44 % (4229)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)
% 0.22/0.49 % (4309)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency_375 on Vampire---4 for (375ds/0Mi)
% 0.22/0.49 % (4309)Refutation not found, incomplete strategy% (4309)------------------------------
% 0.22/0.49 % (4309)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.49 % (4309)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.49 % (4309)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49
% 0.22/0.49 % (4309)Memory used [KB]: 895
% 0.22/0.49 % (4309)Time elapsed: 0.002 s
% 0.22/0.49 % (4309)------------------------------
% 0.22/0.49 % (4309)------------------------------
% 0.22/0.53 % (4340)lrs-11_16_av=off:bs=on:bsr=on:drc=off:fsd=off:fsr=off:nm=4:sp=scramble:tgt=ground:stl=62_367 on Vampire---4 for (367ds/0Mi)
% 15.36/2.56 % (4229)First to succeed.
% 15.36/2.57 % (4229)Refutation found. Thanks to Tanya!
% 15.36/2.57 % SZS status Theorem for Vampire---4
% 15.36/2.57 % SZS output start Proof for Vampire---4
% See solution above
% 15.36/2.57 % (4229)------------------------------
% 15.36/2.57 % (4229)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 15.36/2.57 % (4229)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 15.36/2.57 % (4229)Termination reason: Refutation
% 15.36/2.57
% 15.36/2.57 % (4229)Memory used [KB]: 91213
% 15.36/2.57 % (4229)Time elapsed: 2.127 s
% 15.36/2.57 % (4229)------------------------------
% 15.36/2.57 % (4229)------------------------------
% 15.36/2.57 % (4225)Success in time 2.194 s
% 15.36/2.58 % Vampire---4.8 exiting
%------------------------------------------------------------------------------