%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP486-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 10:14:07 AM UTC 2026
% Result : Unsatisfiable 3.58s 1.30s
% Output : Refutation 4.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 5
% Syntax : Number of formulae : 104 ( 104 unt; 0 def)
% Number of atoms : 104 ( 103 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 200 ( 200 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f6,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f7,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[],[f6,f3]) ).
fof(f8,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(superposition,[],[f6,f4]) ).
fof(f9,plain,
! [X0,X1] : identity = double_divide(double_divide(X1,X0),multiply(X0,X1)),
inference(superposition,[],[f4,f6]) ).
fof(f10,plain,
! [X0,X1] : multiply(identity,double_divide(X1,X0)) = inverse(multiply(X0,X1)),
inference(superposition,[],[f7,f6]) ).
fof(f11,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(superposition,[],[f7,f7]) ).
fof(f13,plain,
! [X0,X1] : inverse(identity) = multiply(multiply(X0,X1),double_divide(X1,X0)),
inference(superposition,[],[f8,f6]) ).
fof(f26,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),inverse(identity)) = X2,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f27,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),inverse(identity)) = X2,
inference(forward_demodulation,[],[f26,f3]) ).
fof(f81,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(inverse(X0),X1),inverse(identity))),inverse(identity)) = X1,
inference(superposition,[],[f27,f3]) ).
fof(f82,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),inverse(inverse(X0)))),inverse(identity)) = X1,
inference(superposition,[],[f27,f4]) ).
fof(f89,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,double_divide(inverse(double_divide(X0,X1)),inverse(X1))),inverse(identity)),
inference(superposition,[],[f27,f3]) ).
fof(f90,plain,
! [X0,X1] : inverse(double_divide(X0,X1)) = double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)),
inference(superposition,[],[f27,f4]) ).
fof(f91,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X2,double_divide(double_divide(double_divide(X2,double_divide(X1,X0)),X3),multiply(X0,X1))),inverse(identity)) = X3,
inference(superposition,[],[f27,f6]) ).
fof(f94,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(double_divide(X1,identity),X2),X0),inverse(X2)) = double_divide(double_divide(X1,X0),inverse(identity)),
inference(superposition,[],[f27,f27]) ).
fof(f98,plain,
! [X2,X0,X1] : inverse(X0) = multiply(inverse(identity),double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X0),inverse(X2)))),
inference(superposition,[],[f6,f27]) ).
fof(f99,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X0),inverse(identity)) = double_divide(double_divide(double_divide(inverse(X1),X2),X0),inverse(X2)),
inference(forward_demodulation,[],[f94,f3]) ).
fof(f100,plain,
! [X0,X1] : multiply(X1,X0) = double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)),
inference(forward_demodulation,[],[f90,f6]) ).
fof(f101,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,double_divide(multiply(X1,X0),inverse(X1))),inverse(identity)),
inference(forward_demodulation,[],[f89,f6]) ).
fof(f106,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),multiply(identity,X0))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f82,f7]) ).
fof(f124,plain,
! [X0] : multiply(identity,X0) = double_divide(double_divide(X0,identity),inverse(identity)),
inference(superposition,[],[f100,f4]) ).
fof(f135,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),inverse(identity)),
inference(forward_demodulation,[],[f124,f3]) ).
fof(f137,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(multiply(identity,X0),inverse(identity)),
inference(superposition,[],[f135,f7]) ).
fof(f210,plain,
! [X0,X1] : inverse(identity) = double_divide(double_divide(X0,double_divide(identity,inverse(double_divide(multiply(X1,X0),inverse(X1))))),inverse(identity)),
inference(superposition,[],[f27,f101]) ).
fof(f211,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),inverse(identity)) = double_divide(multiply(X1,double_divide(X0,identity)),inverse(X1)),
inference(superposition,[],[f27,f101]) ).
fof(f218,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(identity)) = double_divide(multiply(X1,inverse(X0)),inverse(X1)),
inference(forward_demodulation,[],[f211,f3]) ).
fof(f219,plain,
! [X0,X1] : inverse(identity) = multiply(double_divide(multiply(X1,X0),inverse(X1)),X0),
inference(forward_demodulation,[],[f210,f100]) ).
fof(f226,plain,
! [X0,X1] : multiply(identity,X0) = double_divide(multiply(X1,inverse(X0)),inverse(X1)),
inference(forward_demodulation,[],[f218,f135]) ).
fof(f280,plain,
! [X0] : multiply(identity,X0) = multiply(identity,inverse(inverse(X0))),
inference(superposition,[],[f137,f226]) ).
fof(f293,plain,
! [X0] : multiply(identity,X0) = multiply(identity,multiply(identity,X0)),
inference(forward_demodulation,[],[f280,f7]) ).
fof(f341,plain,
! [X0] : inverse(identity) = double_divide(double_divide(X0,double_divide(multiply(identity,X0),inverse(identity))),inverse(identity)),
inference(superposition,[],[f81,f135]) ).
fof(f362,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f341,f101]) ).
fof(f365,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(inverse(X0),X1),identity)),identity) = X1,
inference(superposition,[],[f81,f362]) ).
fof(f384,plain,
! [X0] : identity = multiply(double_divide(multiply(identity,X0),identity),X0),
inference(superposition,[],[f219,f362]) ).
fof(f389,plain,
! [X0] : identity = multiply(inverse(multiply(identity,X0)),X0),
inference(forward_demodulation,[],[f384,f3]) ).
fof(f402,plain,
! [X0,X1] : inverse(double_divide(X0,double_divide(double_divide(inverse(X0),X1),identity))) = X1,
inference(forward_demodulation,[],[f365,f3]) ).
fof(f405,plain,
! [X0] : identity = multiply(multiply(identity,inverse(X0)),X0),
inference(forward_demodulation,[],[f389,f11]) ).
fof(f413,plain,
! [X0,X1] : multiply(double_divide(double_divide(inverse(X0),X1),identity),X0) = X1,
inference(forward_demodulation,[],[f402,f6]) ).
fof(f420,plain,
! [X0,X1] : multiply(inverse(double_divide(inverse(X0),X1)),X0) = X1,
inference(forward_demodulation,[],[f413,f3]) ).
fof(f424,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(forward_demodulation,[],[f420,f6]) ).
fof(f483,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),multiply(identity,X0))),identity) = X1,
inference(forward_demodulation,[],[f106,f362]) ).
fof(f484,plain,
! [X0,X1] : inverse(double_divide(X0,double_divide(double_divide(identity,X1),multiply(identity,X0)))) = X1,
inference(forward_demodulation,[],[f483,f3]) ).
fof(f485,plain,
! [X0,X1] : multiply(double_divide(double_divide(identity,X1),multiply(identity,X0)),X0) = X1,
inference(forward_demodulation,[],[f484,f6]) ).
fof(f489,plain,
! [X0] : identity = multiply(multiply(identity,multiply(identity,X0)),inverse(X0)),
inference(superposition,[],[f405,f7]) ).
fof(f505,plain,
! [X0] : identity = multiply(multiply(identity,X0),inverse(X0)),
inference(forward_demodulation,[],[f489,f293]) ).
fof(f813,plain,
! [X2,X0,X1] : inverse(X0) = multiply(identity,double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X0),inverse(X2)))),
inference(forward_demodulation,[],[f98,f362]) ).
fof(f814,plain,
! [X2,X0,X1] : inverse(X0) = inverse(multiply(double_divide(double_divide(double_divide(X1,X2),X0),inverse(X2)),X1)),
inference(forward_demodulation,[],[f813,f10]) ).
fof(f887,plain,
! [X0,X1] : inverse(double_divide(identity,inverse(X0))) = inverse(multiply(multiply(X0,double_divide(X1,identity)),X1)),
inference(superposition,[],[f814,f100]) ).
fof(f930,plain,
! [X0,X1] : inverse(double_divide(identity,inverse(X0))) = inverse(multiply(multiply(X0,inverse(X1)),X1)),
inference(forward_demodulation,[],[f887,f3]) ).
fof(f960,plain,
! [X0] : inverse(X0) = inverse(double_divide(identity,inverse(X0))),
inference(forward_demodulation,[],[f930,f424]) ).
fof(f984,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),identity),
inference(forward_demodulation,[],[f960,f6]) ).
fof(f1013,plain,
! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,X1),identity),
inference(superposition,[],[f984,f6]) ).
fof(f1045,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f1013,f485]) ).
fof(f1114,plain,
! [X0] : inverse(identity) = multiply(X0,double_divide(identity,X0)),
inference(superposition,[],[f13,f1045]) ).
fof(f1153,plain,
! [X0] : identity = multiply(X0,double_divide(identity,X0)),
inference(forward_demodulation,[],[f1114,f362]) ).
fof(f1188,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X0),identity) = double_divide(double_divide(double_divide(inverse(X1),X2),X0),inverse(X2)),
inference(forward_demodulation,[],[f99,f362]) ).
fof(f1189,plain,
! [X2,X0,X1] : inverse(double_divide(X1,X0)) = double_divide(double_divide(double_divide(inverse(X1),X2),X0),inverse(X2)),
inference(forward_demodulation,[],[f1188,f3]) ).
fof(f1190,plain,
! [X2,X0,X1] : multiply(X0,X1) = double_divide(double_divide(double_divide(inverse(X1),X2),X0),inverse(X2)),
inference(forward_demodulation,[],[f1189,f6]) ).
fof(f1341,plain,
! [X0,X1] : double_divide(identity,inverse(X0)) = multiply(multiply(X0,inverse(X1)),X1),
inference(superposition,[],[f1190,f9]) ).
fof(f1358,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(multiply(X0,X1),inverse(X1))),
inference(superposition,[],[f814,f1190]) ).
fof(f1359,plain,
! [X0,X1] : double_divide(double_divide(inverse(X1),multiply(X0,X1)),inverse(identity)) = X0,
inference(superposition,[],[f27,f1190]) ).
fof(f1381,plain,
! [X0,X1] : double_divide(double_divide(inverse(X1),multiply(X0,X1)),identity) = X0,
inference(forward_demodulation,[],[f1359,f362]) ).
fof(f1394,plain,
! [X0] : double_divide(identity,inverse(X0)) = X0,
inference(forward_demodulation,[],[f1341,f424]) ).
fof(f1408,plain,
! [X0,X1] : inverse(double_divide(inverse(X1),multiply(X0,X1))) = X0,
inference(forward_demodulation,[],[f1381,f3]) ).
fof(f1426,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f1408,f6]) ).
fof(f1474,plain,
! [X0] : multiply(identity,inverse(double_divide(identity,X0))) = X0,
inference(superposition,[],[f1426,f1153]) ).
fof(f1528,plain,
! [X0] : multiply(identity,multiply(X0,identity)) = X0,
inference(forward_demodulation,[],[f1474,f6]) ).
fof(f1535,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[],[f1528,f1045]) ).
fof(f1537,plain,
! [X0,X1] : double_divide(X1,X0) = inverse(multiply(X0,X1)),
inference(superposition,[],[f1535,f10]) ).
fof(f1548,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f505,f1535]) ).
fof(f1632,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X2,double_divide(double_divide(double_divide(X2,double_divide(X1,X0)),X3),multiply(X0,X1))),identity) = X3,
inference(forward_demodulation,[],[f91,f362]) ).
fof(f1633,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X2,double_divide(double_divide(double_divide(X2,double_divide(X1,X0)),X3),multiply(X0,X1)))) = X3,
inference(forward_demodulation,[],[f1632,f3]) ).
fof(f1634,plain,
! [X2,X3,X0,X1] : multiply(double_divide(double_divide(double_divide(X2,double_divide(X1,X0)),X3),multiply(X0,X1)),X2) = X3,
inference(forward_demodulation,[],[f1633,f6]) ).
fof(f1650,plain,
! [X0] : multiply(identity,inverse(inverse(X0))) = X0,
inference(superposition,[],[f1426,f1548]) ).
fof(f1684,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f1650,f1535]) ).
fof(f1758,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(superposition,[],[f1394,f1684]) ).
fof(f1793,plain,
! [X2,X0,X1] : multiply(double_divide(double_divide(double_divide(X1,inverse(X0)),X2),multiply(identity,X0)),X1) = X2,
inference(superposition,[],[f1634,f3]) ).
fof(f1925,plain,
! [X2,X0,X1] : multiply(double_divide(double_divide(double_divide(X1,inverse(X0)),X2),X0),X1) = X2,
inference(forward_demodulation,[],[f1793,f1535]) ).
fof(f3533,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(X1),multiply(X0,X1)),
inference(forward_demodulation,[],[f1358,f1537]) ).
fof(f3540,plain,
! [X0,X1] : inverse(X1) = double_divide(multiply(identity,X0),multiply(X1,inverse(X0))),
inference(superposition,[],[f3533,f7]) ).
fof(f3547,plain,
! [X0,X1] : double_divide(inverse(X1),X0) = inverse(double_divide(double_divide(identity,X0),multiply(identity,X1))),
inference(superposition,[],[f3533,f485]) ).
fof(f3630,plain,
! [X0,X1] : double_divide(inverse(X1),X0) = multiply(multiply(identity,X1),double_divide(identity,X0)),
inference(forward_demodulation,[],[f3547,f6]) ).
fof(f3637,plain,
! [X0,X1] : inverse(X1) = double_divide(X0,multiply(X1,inverse(X0))),
inference(forward_demodulation,[],[f3540,f1535]) ).
fof(f3661,plain,
! [X0,X1] : double_divide(inverse(X1),X0) = multiply(multiply(identity,X1),inverse(X0)),
inference(forward_demodulation,[],[f3630,f1758]) ).
fof(f3676,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = double_divide(inverse(X1),X0),
inference(forward_demodulation,[],[f3661,f1535]) ).
fof(f4001,plain,
! [X0,X1] : multiply(X1,multiply(identity,X0)) = double_divide(inverse(X1),inverse(X0)),
inference(superposition,[],[f3676,f7]) ).
fof(f4135,plain,
! [X0,X1] : multiply(X1,X0) = double_divide(inverse(X1),inverse(X0)),
inference(forward_demodulation,[],[f4001,f1535]) ).
fof(f4362,plain,
! [X0,X1] : multiply(inverse(X0),X1) = double_divide(multiply(identity,X0),inverse(X1)),
inference(superposition,[],[f4135,f7]) ).
fof(f4413,plain,
! [X0,X1] : multiply(inverse(X0),X1) = double_divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f4362,f1535]) ).
fof(f6502,plain,
! [X2,X0,X1] : double_divide(X1,X0) = inverse(double_divide(double_divide(double_divide(inverse(X1),inverse(X2)),X0),X2)),
inference(superposition,[],[f3637,f1925]) ).
fof(f6507,plain,
! [X2,X0,X1] : double_divide(X1,X0) = multiply(X2,double_divide(double_divide(inverse(X1),inverse(X2)),X0)),
inference(forward_demodulation,[],[f6502,f6]) ).
fof(f6561,plain,
! [X2,X0,X1] : double_divide(X1,X0) = multiply(X2,double_divide(multiply(X1,X2),X0)),
inference(forward_demodulation,[],[f6507,f4135]) ).
fof(f6940,plain,
! [X2,X0,X1] : double_divide(multiply(X0,X1),X2) = multiply(inverse(X1),double_divide(X0,X2)),
inference(superposition,[],[f6561,f1426]) ).
fof(f7050,plain,
! [X2,X0,X1] : double_divide(multiply(X0,X1),X2) = double_divide(X1,inverse(double_divide(X0,X2))),
inference(forward_demodulation,[],[f6940,f4413]) ).
fof(f7102,plain,
! [X2,X0,X1] : double_divide(multiply(X0,X1),X2) = double_divide(X1,multiply(X2,X0)),
inference(forward_demodulation,[],[f7050,f6]) ).
fof(f8767,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X0)) = inverse(double_divide(X0,multiply(X1,X2))),
inference(superposition,[],[f6,f7102]) ).
fof(f8823,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X0)) = multiply(multiply(X1,X2),X0),
inference(forward_demodulation,[],[f8767,f6]) ).
fof(f11317,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f5,f8823]) ).
fof(f11368,plain,
$false,
inference(trivial_inequality_removal,[],[f11317]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP486-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:08:09 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.58/1.30 % (2099988)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.58/1.30 % (2100033)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2603463428:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.58/1.30 % (2100032)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2181243089:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.58/1.30 % (2100029)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=4023360244:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.58/1.30 % (2100031)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3731770691:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.58/1.30 % (2100034)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2469073593:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.58/1.30 % (2100030)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3583046199:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.58/1.30 % (2100035)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3499195526:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.58/1.30 % (2100032)Instruction limit reached!
% 3.58/1.30 % (2100032)------------------------------
% 3.58/1.30 % (2100032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.30 % (2100032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.30 % (2100032)CaDiCaL version: 2.1.3
% 3.58/1.30 % (2100032)Termination reason: Instruction limit
% 3.58/1.30 % (2100032)Termination phase: Saturation
% 3.58/1.30 % (2100032)Time elapsed: 0.083 s
% 3.58/1.30 % (2100032)Peak memory usage: 88 MB
% 3.58/1.30 % (2100032)Instructions burned: 137 (million)
% 3.58/1.30 % (2100033)Instruction limit reached!
% 3.58/1.30 % (2100033)------------------------------
% 3.58/1.30 % (2100033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.30 % (2100033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.30 % (2100033)CaDiCaL version: 2.1.3
% 3.58/1.30 % (2100033)Termination reason: Instruction limit
% 3.58/1.30 % (2100033)Termination phase: Saturation
% 3.58/1.30 % (2100033)Time elapsed: 0.095 s
% 3.58/1.30 % (2100033)Peak memory usage: 89 MB
% 3.58/1.30 % (2100033)Instructions burned: 181 (million)
% 3.58/1.30 % (2100034)Instruction limit reached!
% 3.58/1.30 % (2100034)------------------------------
% 3.58/1.30 % (2100034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.30 % (2100034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.30 % (2100034)CaDiCaL version: 2.1.3
% 3.58/1.30 % (2100034)Termination reason: Instruction limit
% 3.58/1.30 % (2100034)Termination phase: Saturation
% 3.58/1.30 % (2100034)Time elapsed: 0.151 s
% 3.58/1.30 % (2100034)Peak memory usage: 90 MB
% 3.58/1.30 % (2100034)Instructions burned: 258 (million)
% 3.58/1.30 % (2100035)First to succeed.
% 3.58/1.30 % (2100035)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2099988"
% 3.58/1.30 % (2100047)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=4024867138:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 3.58/1.30 % (2100048)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2776130334:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 3.58/1.30 % (2100049)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=184668659:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 3.58/1.30 % (2100049)Instruction limit reached!
% 3.58/1.30 % (2100049)------------------------------
% 3.58/1.30 % (2100049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.30 % (2100049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.30 % (2100049)CaDiCaL version: 2.1.3
% 3.58/1.30 % (2100049)Termination reason: Instruction limit
% 3.58/1.30 % (2100049)Termination phase: Saturation
% 3.58/1.30 % (2100049)Time elapsed: 0.116 s
% 3.58/1.30 % (2100049)Peak memory usage: 90 MB
% 3.58/1.30 % (2100049)Instructions burned: 215 (million)
% 3.58/1.30 % (2100035)Refutation found. Thanks to Tanya!
% 3.58/1.30 % SZS status Unsatisfiable for theBenchmark
% 3.58/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 4.58/1.49 % (2100035)------------------------------
% 4.58/1.49 % (2100035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.49 % (2100035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.49 % (2100035)CaDiCaL version: 2.1.3
% 4.58/1.49 % (2100035)Termination reason: Refutation
% 4.58/1.49 % (2100035)Time elapsed: 0.153 s
% 4.58/1.49 % (2100035)Peak memory usage: 91 MB
% 4.58/1.49 % (2100035)Instructions burned: 273 (million)
% 4.58/1.49 % (2100035)------------------------------
% 4.58/1.49 % (2100035)------------------------------
% 4.58/1.49 % (2099988)Success in time 0.609 s
% 4.58/1.49 % Vampire exiting
%------------------------------------------------------------------------------