%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP682-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:18:32 AM UTC 2026
% Result : Unsatisfiable 4.54s 1.19s
% Output : Refutation 4.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 8
% Syntax : Number of formulae : 97 ( 97 unt; 0 def)
% Number of atoms : 97 ( 96 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 : 222 ( 222 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ld(X0,mult(X0,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0] : rd(mult(X0,X0),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
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/sandbox/benchmark/theBenchmark.p',f05) ).
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/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
fof(f8,negated_conjecture,
ld(rd(x0,x1),mult(rd(x0,x1),x2)) != ld(x0,mult(x0,x2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f9,plain,
! [X0] : mult(X0,ld(X0,X0)) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f10,plain,
ld(x0,mult(x0,x2)) != mult(rd(x0,x1),ld(rd(x0,x1),x2)),
inference(superposition,[],[f8,f3]) ).
fof(f12,plain,
mult(rd(x0,x1),ld(rd(x0,x1),x2)) != mult(x0,ld(x0,x2)),
inference(forward_demodulation,[],[f10,f3]) ).
fof(f13,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f3,f9]) ).
fof(f15,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(superposition,[],[f4,f2]) ).
fof(f17,plain,
! [X0] : rd(X0,X0) = mult(rd(rd(X0,X0),X0),X0),
inference(superposition,[],[f4,f15]) ).
fof(f23,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = mult(rd(rd(X0,X0),X1),X1),
inference(forward_demodulation,[],[f7,f4]) ).
fof(f24,plain,
! [X0,X1] : mult(rd(rd(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f23,f3]) ).
fof(f26,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(rd(X0,X0),rd(X0,X0)))),
inference(superposition,[],[f24,f15]) ).
fof(f27,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f17,f24]) ).
fof(f31,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(forward_demodulation,[],[f27,f13]) ).
fof(f33,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(rd(ld(X0,X0),X1),X1),
inference(superposition,[],[f24,f31]) ).
fof(f35,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(superposition,[],[f15,f31]) ).
fof(f50,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))),
inference(forward_demodulation,[],[f26,f31]) ).
fof(f59,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(f60,plain,
! [X2,X3,X0,X1] : mult(mult(X0,ld(X0,X2)),X3) = mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))),
inference(forward_demodulation,[],[f59,f3]) ).
fof(f74,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(f75,plain,
! [X2,X3,X0,X1] : mult(X0,mult(rd(X1,X3),X3)) = mult(rd(mult(X0,X1),rd(X2,X3)),rd(X2,X3)),
inference(forward_demodulation,[],[f74,f4]) ).
fof(f76,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(superposition,[],[f60,f1]) ).
fof(f106,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,ld(X0,mult(X0,X1))),
inference(superposition,[],[f76,f9]) ).
fof(f107,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = mult(X0,ld(X0,mult(ld(X0,X0),X1))),
inference(superposition,[],[f76,f13]) ).
fof(f131,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f106,f3]) ).
fof(f138,plain,
! [X0] : mult(X0,ld(X0,X0)) = mult(X0,ld(ld(X0,X0),ld(X0,X0))),
inference(superposition,[],[f131,f50]) ).
fof(f154,plain,
! [X0] : mult(X0,ld(ld(X0,X0),ld(X0,X0))) = X0,
inference(forward_demodulation,[],[f138,f9]) ).
fof(f193,plain,
! [X2,X0,X1] : mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(mult(X1,ld(X1,X0)),ld(ld(X0,X0),ld(X0,X0))),
inference(superposition,[],[f60,f154]) ).
fof(f197,plain,
! [X2,X0,X1] : mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(X1,ld(X1,mult(X0,ld(ld(X0,X0),ld(X0,X0))))),
inference(forward_demodulation,[],[f193,f76]) ).
fof(f198,plain,
! [X2,X0,X1] : mult(X1,ld(X1,X0)) = mult(ld(X1,X2),ld(ld(X1,X2),X0)),
inference(forward_demodulation,[],[f197,f154]) ).
fof(f307,plain,
! [X2,X0,X1] : mult(ld(X0,X1),mult(ld(X0,X1),ld(ld(X0,X1),X2))) = mult(X0,ld(X0,mult(ld(X0,X1),X2))),
inference(superposition,[],[f198,f3]) ).
fof(f313,plain,
! [X0,X1] : ld(X0,X1) = mult(X0,ld(X0,ld(X0,X1))),
inference(superposition,[],[f198,f9]) ).
fof(f343,plain,
! [X2,X0,X1] : mult(ld(X0,X1),X2) = mult(X0,ld(X0,mult(ld(X0,X1),X2))),
inference(forward_demodulation,[],[f307,f131]) ).
fof(f352,plain,
! [X2,X0,X1] : ld(ld(X0,X1),X2) = mult(X0,ld(X0,ld(ld(X0,X1),X2))),
inference(superposition,[],[f313,f198]) ).
fof(f516,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,X0),X0)) = mult(rd(mult(X1,X2),X0),X0),
inference(superposition,[],[f75,f2]) ).
fof(f557,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,mult(rd(ld(X0,X0),X1),X1)),
inference(superposition,[],[f516,f9]) ).
fof(f587,plain,
! [X0,X1] : mult(X0,mult(rd(X1,X1),X1)) = mult(mult(rd(X0,X1),X1),X1),
inference(superposition,[],[f516,f4]) ).
fof(f602,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(rd(X0,X1),X1),X1),
inference(forward_demodulation,[],[f587,f15]) ).
fof(f625,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f557,f33]) ).
fof(f639,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[],[f625,f131]) ).
fof(f644,plain,
! [X0,X1] : mult(rd(X0,X0),X1) = mult(mult(X0,ld(X0,ld(X1,X1))),X1),
inference(superposition,[],[f602,f24]) ).
fof(f660,plain,
! [X0,X1] : mult(rd(X0,X0),X1) = mult(X0,ld(X0,mult(ld(X1,X1),X1))),
inference(forward_demodulation,[],[f644,f76]) ).
fof(f664,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = mult(rd(X0,X0),X1),
inference(forward_demodulation,[],[f660,f35]) ).
fof(f665,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = mult(ld(X0,X0),X1),
inference(forward_demodulation,[],[f664,f31]) ).
fof(f773,plain,
! [X0,X1] : mult(rd(ld(X0,X0),X1),X1) = rd(mult(X0,ld(X0,X1)),X1),
inference(superposition,[],[f4,f665]) ).
fof(f775,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = mult(X0,ld(X0,mult(ld(X0,X0),ld(ld(X0,X0),X1)))),
inference(superposition,[],[f131,f665]) ).
fof(f803,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = mult(ld(X0,X0),ld(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f775,f107]) ).
fof(f805,plain,
! [X0,X1] : mult(ld(X0,X0),ld(X1,X1)) = rd(mult(X0,ld(X0,X1)),X1),
inference(forward_demodulation,[],[f773,f639]) ).
fof(f843,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = mult(X0,ld(X0,ld(ld(X0,X0),X1))),
inference(forward_demodulation,[],[f803,f665]) ).
fof(f845,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = rd(mult(X0,ld(X0,X1)),X1),
inference(forward_demodulation,[],[f805,f665]) ).
fof(f870,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = ld(ld(X0,X0),X1),
inference(forward_demodulation,[],[f843,f352]) ).
fof(f885,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(ld(X0,X0),X1),
inference(forward_demodulation,[],[f870,f665]) ).
fof(f2502,plain,
! [X0,X1] : mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(X0,mult(rd(ld(X0,X1),X1),X1)),
inference(superposition,[],[f516,f845]) ).
fof(f2520,plain,
! [X0,X1] : mult(mult(X0,ld(X0,ld(X1,X1))),X1) = mult(X0,mult(ld(X0,X1),ld(X1,X1))),
inference(forward_demodulation,[],[f2502,f639]) ).
fof(f2552,plain,
! [X0,X1] : mult(X0,ld(X0,mult(ld(X1,X1),X1))) = mult(X0,mult(ld(X0,X1),ld(X1,X1))),
inference(forward_demodulation,[],[f2520,f76]) ).
fof(f2569,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = mult(X0,mult(ld(X0,X1),ld(X1,X1))),
inference(forward_demodulation,[],[f2552,f35]) ).
fof(f3694,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X0,X1))) = mult(X0,ld(X0,mult(ld(X0,X1),ld(X1,X1)))),
inference(superposition,[],[f3,f2569]) ).
fof(f3722,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X0,X1))) = mult(ld(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f3694,f343]) ).
fof(f3740,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X0,X1))) = mult(ld(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f3722,f3]) ).
fof(f3752,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f3740,f313]) ).
fof(f3797,plain,
! [X0,X1] : ld(ld(X0,X1),ld(X0,X1)) = mult(ld(X0,X1),ld(ld(X0,X1),ld(X1,X1))),
inference(superposition,[],[f3,f3752]) ).
fof(f3818,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = ld(ld(X0,X1),ld(X0,X1)),
inference(forward_demodulation,[],[f3797,f198]) ).
fof(f5711,plain,
! [X2,X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(mult(X0,ld(X0,ld(X1,X1))),X2),
inference(superposition,[],[f665,f3818]) ).
fof(f5717,plain,
! [X2,X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = ld(mult(X0,ld(X0,ld(X1,X1))),X2),
inference(superposition,[],[f885,f3818]) ).
fof(f5776,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = ld(mult(X0,ld(X0,ld(X1,X1))),X2),
inference(forward_demodulation,[],[f5717,f198]) ).
fof(f5777,plain,
! [X2,X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,mult(ld(X1,X1),X2))),
inference(forward_demodulation,[],[f5711,f76]) ).
fof(f5812,plain,
! [X2,X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(X0,ld(X0,mult(X1,ld(X1,X2)))),
inference(forward_demodulation,[],[f5777,f665]) ).
fof(f5837,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = mult(X0,ld(X0,mult(X1,ld(X1,X2)))),
inference(forward_demodulation,[],[f5812,f198]) ).
fof(f8527,plain,
! [X2,X0,X1] : mult(X0,mult(X0,ld(X0,X1))) = mult(X0,mult(X2,ld(X2,X1))),
inference(superposition,[],[f131,f5837]) ).
fof(f8542,plain,
! [X2,X0,X1] : ld(X0,mult(X0,ld(X0,X1))) = mult(X0,ld(X0,ld(X0,mult(X2,ld(X2,X1))))),
inference(superposition,[],[f3,f5837]) ).
fof(f8597,plain,
! [X2,X0,X1] : ld(X0,mult(X0,ld(X0,X1))) = ld(X0,mult(X2,ld(X2,X1))),
inference(forward_demodulation,[],[f8542,f313]) ).
fof(f8612,plain,
! [X2,X0,X1] : mult(X0,X1) = mult(X0,mult(X2,ld(X2,X1))),
inference(forward_demodulation,[],[f8527,f131]) ).
fof(f8657,plain,
! [X2,X0,X1] : mult(X0,ld(X0,ld(X0,X1))) = ld(X0,mult(X2,ld(X2,X1))),
inference(forward_demodulation,[],[f8597,f3]) ).
fof(f8699,plain,
! [X2,X0,X1] : ld(X0,X1) = ld(X0,mult(X2,ld(X2,X1))),
inference(forward_demodulation,[],[f8657,f313]) ).
fof(f8984,plain,
! [X2,X3,X0,X1] : ld(X3,X2) = ld(X3,mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2))))),
inference(superposition,[],[f8699,f76]) ).
fof(f9163,plain,
! [X2,X3,X0,X1] : ld(X3,X2) = ld(X3,mult(X1,ld(mult(X0,ld(X0,X1)),X2))),
inference(forward_demodulation,[],[f8984,f8699]) ).
fof(f14923,plain,
! [X2,X0,X1] : ld(X0,X2) = mult(X0,ld(X0,ld(mult(X1,ld(X1,X0)),X2))),
inference(superposition,[],[f9163,f3]) ).
fof(f18907,plain,
! [X2,X3,X0,X1] : mult(X2,ld(X0,X1)) = mult(X2,ld(mult(X3,ld(X3,X0)),X1)),
inference(superposition,[],[f8612,f14923]) ).
fof(f25475,plain,
! [X2,X0,X1] : ld(mult(X0,ld(X0,X1)),X2) = mult(ld(ld(mult(X0,ld(X0,X1)),X2),ld(mult(X0,ld(X0,X1)),X2)),ld(X1,X2)),
inference(superposition,[],[f35,f18907]) ).
fof(f25538,plain,
! [X2,X0,X1] : ld(mult(X0,ld(X0,X1)),X2) = mult(ld(mult(X0,ld(X0,X1)),X2),ld(ld(mult(X0,ld(X0,X1)),X2),ld(X1,X2))),
inference(forward_demodulation,[],[f25475,f665]) ).
fof(f25784,plain,
! [X2,X0,X1] : ld(mult(X0,ld(X0,X1)),X2) = mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),ld(X1,X2))),
inference(forward_demodulation,[],[f25538,f198]) ).
fof(f25982,plain,
! [X2,X0,X1] : ld(mult(X0,ld(X0,X1)),X2) = mult(mult(X0,ld(X0,X1)),ld(X1,ld(X1,X2))),
inference(forward_demodulation,[],[f25784,f18907]) ).
fof(f26100,plain,
! [X2,X0,X1] : ld(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,ld(X1,ld(X1,X2))))),
inference(forward_demodulation,[],[f25982,f76]) ).
fof(f26171,plain,
! [X2,X0,X1] : mult(X0,ld(X0,ld(X1,X2))) = ld(mult(X0,ld(X0,X1)),X2),
inference(forward_demodulation,[],[f26100,f5837]) ).
fof(f28254,plain,
! [X2,X0,X1] : ld(mult(X0,mult(X0,ld(X0,X1))),X2) = mult(X0,ld(X0,ld(mult(X0,X1),X2))),
inference(superposition,[],[f26171,f3]) ).
fof(f28796,plain,
! [X2,X0,X1] : ld(mult(X0,X1),X2) = mult(X0,ld(X0,ld(mult(X0,X1),X2))),
inference(forward_demodulation,[],[f28254,f131]) ).
fof(f29581,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = ld(ld(mult(X0,X1),mult(X0,X1)),X2),
inference(superposition,[],[f5776,f28796]) ).
fof(f29665,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = mult(mult(X0,X1),ld(mult(X0,X1),X2)),
inference(forward_demodulation,[],[f29581,f885]) ).
fof(f31509,plain,
! [X2,X0,X1] : mult(rd(X0,X1),ld(rd(X0,X1),X2)) = mult(mult(X0,ld(X1,X1)),ld(mult(X0,ld(X1,X1)),X2)),
inference(superposition,[],[f29665,f639]) ).
fof(f31797,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = mult(rd(X0,X1),ld(rd(X0,X1),X2)),
inference(forward_demodulation,[],[f31509,f29665]) ).
fof(f36142,plain,
mult(x0,ld(x0,x2)) != mult(x0,ld(x0,x2)),
inference(superposition,[],[f12,f31797]) ).
fof(f36269,plain,
$false,
inference(trivial_inequality_removal,[],[f36142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP682-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.21/0.47 % Computer : n013.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sun Sep 27 10:35:06 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.26/0.51 Running first-order model finding
% 0.26/0.51 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.54/1.19 % (25449)Will run a generic schedule for satisfiability detection.
% 4.54/1.19 % (25456)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=274502970:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.54/1.19 % (25459)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=436129804:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.54/1.19 % (25457)dis+10_1_sil=32000:sp=arity:random_seed=4146520512:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.54/1.19 % (25454)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=788896221_2999 on theBenchmark for (2999ds/0Mi)
% 4.54/1.19 % (25458)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3748669616:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.54/1.19 % (25460)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1015232015:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.54/1.19 % TRYING [1]
% 4.54/1.19 % TRYING [2]
% 4.54/1.19 % (25455)% WARNING: option uhcvi not known.
% 4.54/1.19 % TRYING [3]
% 4.54/1.19 % (25455)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1033396809:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.54/1.19 % TRYING [4]
% 4.54/1.19 % (25457)Instruction limit reached!
% 4.54/1.19 % (25457)------------------------------
% 4.54/1.19 % (25457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.54/1.19 % (25457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.19 % (25457)CaDiCaL version: 2.1.3
% 4.54/1.19 % (25457)Termination reason: Instruction limit
% 4.54/1.19 % (25457)Termination phase: Saturation
% 4.54/1.19 % (25457)Time elapsed: 0.093 s
% 4.54/1.19 % (25457)Peak memory usage: 12 MB
% 4.54/1.19 % (25457)Instructions burned: 103 (million)
% 4.54/1.19 % (25458)Instruction limit reached!
% 4.54/1.19 % (25458)------------------------------
% 4.54/1.19 % (25458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.54/1.19 % (25458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.19 % (25458)CaDiCaL version: 2.1.3
% 4.54/1.19 % (25458)Termination reason: Instruction limit
% 4.54/1.19 % (25458)Termination phase: Saturation
% 4.54/1.19 % (25458)Time elapsed: 0.112 s
% 4.54/1.19 % (25458)Peak memory usage: 12 MB
% 4.54/1.19 % (25458)Instructions burned: 117 (million)
% 4.54/1.19 % (25459)Instruction limit reached!
% 4.54/1.19 % (25459)------------------------------
% 4.54/1.19 % (25459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.54/1.19 % (25459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.19 % (25459)CaDiCaL version: 2.1.3
% 4.54/1.19 % (25459)Termination reason: Instruction limit
% 4.54/1.19 % (25459)Termination phase: Saturation
% 4.54/1.19 % (25459)Time elapsed: 0.123 s
% 4.54/1.19 % (25459)Peak memory usage: 12 MB
% 4.54/1.19 % (25459)Instructions burned: 131 (million)
% 4.54/1.19 % (25468)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1850978891:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 4.54/1.19 % TRYING [1]
% 4.54/1.19 % TRYING [2]
% 4.54/1.19 % TRYING [3]
% 4.54/1.19 % (25469)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2574643737:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.54/1.19 % (25470)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1964765944:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.54/1.19 % (25460)Instruction limit reached!
% 4.54/1.19 % (25460)------------------------------
% 4.54/1.19 % (25460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.54/1.19 % (25460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.19 % (25460)CaDiCaL version: 2.1.3
% 4.54/1.19 % (25460)Termination reason: Instruction limit
% 4.54/1.19 % (25460)Termination phase: Saturation
% 4.54/1.19 % (25460)Time elapsed: 0.160 s
% 4.54/1.19 % (25460)Peak memory usage: 13 MB
% 4.54/1.19 % (25460)Instructions burned: 160 (million)
% 4.54/1.19 % TRYING [4]
% 4.54/1.19 % (25474)ott-21_1_sil=16000:fs=off:random_seed=1071382793:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 4.54/1.19 % TRYING [5]
% 4.54/1.19 % (25469)Instruction limit reached!
% 4.54/1.19 % (25469)------------------------------
% 4.54/1.19 % (25469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.54/1.19 % (25469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.19 % (25469)CaDiCaL version: 2.1.3
% 4.54/1.19 % (25469)Termination reason: Instruction limit
% 4.54/1.19 % (25469)Termination phase: Saturation
% 4.54/1.19 % (25469)Time elapsed: 0.144 s
% 4.54/1.19 % (25469)Peak memory usage: 12 MB
% 4.54/1.19 % (25469)Instructions burned: 131 (million)
% 4.54/1.19 % (25476)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=879323774:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 4.54/1.19 % (25474)Instruction limit reached!
% 4.54/1.19 % (25474)------------------------------
% 4.54/1.19 % (25474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.54/1.19 % (25474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.19 % (25474)CaDiCaL version: 2.1.3
% 4.54/1.19 % (25474)Termination reason: Instruction limit
% 4.54/1.19 % (25474)Termination phase: Saturation
% 4.54/1.19 % (25474)Time elapsed: 0.168 s
% 4.54/1.19 % (25474)Peak memory usage: 12 MB
% 4.54/1.19 % (25474)Instructions burned: 180 (million)
% 4.54/1.19 % TRYING [5]
% 4.54/1.19 % (25478)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=501277473:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 4.54/1.19 % TRYING [1]
% 4.54/1.19 % TRYING [2]
% 4.54/1.19 % TRYING [3]
% 4.54/1.19 % TRYING [4]
% 4.54/1.19 % (25456) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-25449-25456"...
% 4.54/1.19 % (25456)...printing done.
% 4.54/1.19 % (25456)Refutation found. Thanks to Tanya!
% 4.54/1.19 % SZS status Unsatisfiable for theBenchmark
% 4.54/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 4.54/1.19 % (25456)------------------------------
% 4.54/1.19 % (25456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.54/1.19 % (25456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.19 % (25456)CaDiCaL version: 2.1.3
% 4.54/1.19 % (25456)Termination reason: Refutation
% 4.54/1.19 % (25456)Time elapsed: 0.625 s
% 4.54/1.19 % (25456)Peak memory usage: 23 MB
% 4.54/1.19 % (25456)Instructions burned: 1376 (million)
% 4.54/1.19 % (25449)Success in time 0.666 s
% 4.54/1.19 % Vampire exiting
%------------------------------------------------------------------------------