%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP200-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 10:13:19 AM UTC 2026
% Result : Unsatisfiable 17.50s 3.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 10
% Syntax : Number of formulae : 96 ( 96 unt; 0 def)
% Number of atoms : 96 ( 95 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 198 ( 198 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(X0,identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f3,axiom,
! [X0,X1] : multiply(X0,left_division(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_left_division) ).
fof(f4,axiom,
! [X0,X1] : left_division(X0,multiply(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_division_multiply) ).
fof(f5,axiom,
! [X0,X1] : multiply(right_division(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_right_division) ).
fof(f6,axiom,
! [X0,X1] : right_division(multiply(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_division_multiply) ).
fof(f7,axiom,
! [X0] : multiply(X0,right_inverse(X0)) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f8,plain,
! [X0] : identity = multiply(X0,right_inverse(X0)),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0] : multiply(left_inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f10,plain,
! [X0] : identity = multiply(left_inverse(X0),X0),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X2,X0,X1] : multiply(multiply(X0,multiply(X1,X2)),X0) = multiply(multiply(X0,X1),multiply(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',moufang1) ).
fof(f12,negated_conjecture,
multiply(multiply(multiply(a,b),c),b) != multiply(a,multiply(b,multiply(c,b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_moufang2) ).
fof(f16,plain,
! [X0,X1] : multiply(multiply(X1,identity),multiply(X0,X1)) = multiply(multiply(X1,X0),X1),
inference(superposition,[],[f11,f1]) ).
fof(f19,plain,
! [X0,X1] : multiply(multiply(X1,X0),X1) = multiply(X1,multiply(X0,X1)),
inference(forward_demodulation,[],[f16,f2]) ).
fof(f21,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(X2,X0)) = multiply(X0,multiply(multiply(X1,X2),X0)),
inference(backward_demodulation,[],[f11,f19]) ).
fof(f40,plain,
! [X2,X0,X1] : multiply(X0,X1) = left_division(multiply(X1,X2),multiply(X1,multiply(multiply(X2,X0),X1))),
inference(superposition,[],[f4,f21]) ).
fof(f42,plain,
! [X0] : left_division(left_inverse(X0),identity) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f52,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X0)) = multiply(X0,multiply(multiply(left_division(X0,X1),X2),X0)),
inference(superposition,[],[f21,f3]) ).
fof(f61,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = multiply(X1,multiply(multiply(X2,right_division(X0,X1)),X1)),
inference(superposition,[],[f21,f5]) ).
fof(f67,plain,
! [X2,X0,X1] : multiply(X1,X2) = right_division(multiply(X1,multiply(multiply(X2,X0),X1)),multiply(X0,X1)),
inference(superposition,[],[f6,f21]) ).
fof(f68,plain,
! [X0,X1] : multiply(X1,X0) = right_division(multiply(X1,multiply(X0,X1)),X1),
inference(superposition,[],[f6,f19]) ).
fof(f69,plain,
! [X0] : left_inverse(X0) = right_division(identity,X0),
inference(superposition,[],[f6,f10]) ).
fof(f76,plain,
! [X0,X1] : multiply(X1,left_inverse(X0)) = right_division(multiply(X1,multiply(identity,X1)),multiply(X0,X1)),
inference(superposition,[],[f67,f10]) ).
fof(f91,plain,
! [X0,X1] : multiply(X1,left_inverse(X0)) = right_division(multiply(X1,X1),multiply(X0,X1)),
inference(forward_demodulation,[],[f76,f1]) ).
fof(f102,plain,
! [X0] : right_inverse(X0) = left_division(X0,identity),
inference(superposition,[],[f4,f8]) ).
fof(f105,plain,
! [X0,X1] : multiply(identity,multiply(X0,X1)) = multiply(X1,multiply(multiply(right_inverse(X1),X0),X1)),
inference(superposition,[],[f21,f8]) ).
fof(f109,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,multiply(multiply(right_inverse(X1),X0),X1)),
inference(forward_demodulation,[],[f105,f1]) ).
fof(f112,plain,
! [X0] : right_inverse(left_inverse(X0)) = X0,
inference(backward_demodulation,[],[f42,f102]) ).
fof(f118,plain,
! [X0,X1] : multiply(multiply(right_inverse(X1),X0),X1) = left_division(X1,multiply(X0,X1)),
inference(superposition,[],[f4,f109]) ).
fof(f175,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X2)) = multiply(multiply(X2,right_division(X0,right_division(X1,X2))),X1),
inference(superposition,[],[f61,f5]) ).
fof(f178,plain,
! [X0,X1] : multiply(multiply(X1,X1),X0) = multiply(X1,multiply(X1,multiply(right_division(X0,X1),X1))),
inference(superposition,[],[f61,f19]) ).
fof(f181,plain,
! [X2,X0,X1] : multiply(multiply(X0,right_division(X1,X2)),X2) = left_division(X2,multiply(multiply(X2,X0),X1)),
inference(superposition,[],[f4,f61]) ).
fof(f189,plain,
! [X0,X1] : multiply(X1,multiply(X1,X0)) = multiply(multiply(X1,X1),X0),
inference(forward_demodulation,[],[f178,f5]) ).
fof(f228,plain,
! [X0,X1] : multiply(X0,multiply(identity,X0)) = multiply(X1,multiply(right_inverse(left_division(X0,X1)),X0)),
inference(superposition,[],[f52,f8]) ).
fof(f245,plain,
! [X0,X1] : multiply(X0,X0) = multiply(X1,multiply(right_inverse(left_division(X0,X1)),X0)),
inference(forward_demodulation,[],[f228,f1]) ).
fof(f259,plain,
! [X0,X1] : multiply(multiply(X0,right_division(X1,left_inverse(X0))),left_inverse(X0)) = left_division(left_inverse(X0),multiply(identity,X1)),
inference(superposition,[],[f181,f10]) ).
fof(f264,plain,
! [X0,X1] : left_division(X0,multiply(X0,X1)) = multiply(multiply(X1,right_division(identity,X0)),X0),
inference(superposition,[],[f181,f2]) ).
fof(f272,plain,
! [X0,X1] : left_division(X0,multiply(X0,X1)) = multiply(multiply(X1,left_inverse(X0)),X0),
inference(forward_demodulation,[],[f264,f69]) ).
fof(f277,plain,
! [X0,X1] : multiply(multiply(X0,right_division(X1,left_inverse(X0))),left_inverse(X0)) = left_division(left_inverse(X0),X1),
inference(forward_demodulation,[],[f259,f1]) ).
fof(f281,plain,
! [X0,X1] : multiply(multiply(X1,left_inverse(X0)),X0) = X1,
inference(forward_demodulation,[],[f272,f4]) ).
fof(f289,plain,
! [X0,X1] : multiply(left_inverse(X1),X0) = multiply(multiply(left_inverse(X1),multiply(X0,left_inverse(X1))),X1),
inference(superposition,[],[f281,f19]) ).
fof(f292,plain,
! [X0,X1] : multiply(X0,X1) = right_division(X0,left_inverse(X1)),
inference(superposition,[],[f281,f5]) ).
fof(f293,plain,
! [X0] : multiply(identity,X0) = left_inverse(left_inverse(X0)),
inference(superposition,[],[f281,f10]) ).
fof(f306,plain,
! [X0,X1] : multiply(X1,left_inverse(X0)) = right_division(X1,X0),
inference(superposition,[],[f6,f281]) ).
fof(f316,plain,
! [X0,X1] : left_division(left_inverse(X0),X1) = right_division(multiply(X0,right_division(X1,left_inverse(X0))),X0),
inference(backward_demodulation,[],[f277,f306]) ).
fof(f317,plain,
! [X0,X1] : right_division(X1,X0) = right_division(multiply(X1,X1),multiply(X0,X1)),
inference(backward_demodulation,[],[f91,f306]) ).
fof(f336,plain,
! [X0] : left_inverse(left_inverse(X0)) = X0,
inference(forward_demodulation,[],[f293,f1]) ).
fof(f339,plain,
! [X0,X1] : multiply(left_inverse(X1),X0) = multiply(multiply(left_inverse(X1),right_division(X0,X1)),X1),
inference(forward_demodulation,[],[f289,f306]) ).
fof(f341,plain,
! [X0,X1] : right_division(multiply(X0,multiply(X1,X0)),X0) = left_division(left_inverse(X0),X1),
inference(forward_demodulation,[],[f316,f292]) ).
fof(f345,plain,
! [X0,X1] : multiply(X0,X1) = left_division(left_inverse(X0),X1),
inference(forward_demodulation,[],[f341,f68]) ).
fof(f349,plain,
! [X0,X1] : multiply(X0,multiply(left_inverse(X0),X1)) = X1,
inference(superposition,[],[f345,f4]) ).
fof(f367,plain,
! [X0,X1] : left_division(X0,X1) = multiply(left_inverse(X0),X1),
inference(superposition,[],[f4,f349]) ).
fof(f385,plain,
! [X0,X1] : left_division(X1,X0) = multiply(multiply(left_inverse(X1),right_division(X0,X1)),X1),
inference(backward_demodulation,[],[f339,f367]) ).
fof(f407,plain,
! [X0,X1] : left_division(X1,X0) = multiply(left_division(X1,right_division(X0,X1)),X1),
inference(forward_demodulation,[],[f385,f367]) ).
fof(f412,plain,
! [X0] : right_inverse(X0) = left_inverse(X0),
inference(superposition,[],[f112,f336]) ).
fof(f416,plain,
! [X0,X1] : right_division(X1,X0) = multiply(X1,right_inverse(X0)),
inference(backward_demodulation,[],[f306,f412]) ).
fof(f419,plain,
! [X0,X1] : left_division(X0,X1) = multiply(right_inverse(X0),X1),
inference(backward_demodulation,[],[f367,f412]) ).
fof(f423,plain,
! [X0,X1] : multiply(X0,X0) = multiply(X1,left_division(left_division(X0,X1),X0)),
inference(backward_demodulation,[],[f245,f419]) ).
fof(f426,plain,
! [X0,X1] : multiply(left_division(X1,X0),X1) = left_division(X1,multiply(X0,X1)),
inference(backward_demodulation,[],[f118,f419]) ).
fof(f466,plain,
! [X0,X1] : right_inverse(X0) = left_division(X1,right_division(X1,X0)),
inference(superposition,[],[f4,f416]) ).
fof(f468,plain,
! [X0,X1] : multiply(right_division(X1,X0),X1) = multiply(X1,multiply(right_inverse(X0),X1)),
inference(superposition,[],[f19,f416]) ).
fof(f474,plain,
! [X0,X1] : multiply(X1,multiply(X1,right_inverse(X0))) = right_division(multiply(X1,X1),X0),
inference(superposition,[],[f189,f416]) ).
fof(f481,plain,
! [X0,X1] : multiply(X1,right_division(X1,X0)) = right_division(multiply(X1,X1),X0),
inference(forward_demodulation,[],[f474,f416]) ).
fof(f487,plain,
! [X0,X1] : multiply(right_division(X1,X0),X1) = multiply(X1,left_division(X0,X1)),
inference(forward_demodulation,[],[f468,f419]) ).
fof(f496,plain,
! [X0,X1] : right_division(X1,X0) = multiply(X1,right_division(X1,multiply(X0,X1))),
inference(backward_demodulation,[],[f317,f481]) ).
fof(f515,plain,
! [X0,X1] : multiply(left_division(left_division(X0,X1),X0),left_division(X0,X1)) = left_division(left_division(X0,X1),X1),
inference(superposition,[],[f426,f3]) ).
fof(f590,plain,
! [X0,X1] : right_division(X1,multiply(X0,X1)) = left_division(X1,right_division(X1,X0)),
inference(superposition,[],[f4,f496]) ).
fof(f607,plain,
! [X0,X1] : right_inverse(X0) = right_division(X1,multiply(X0,X1)),
inference(forward_demodulation,[],[f590,f466]) ).
fof(f655,plain,
! [X0,X1] : right_division(X1,X0) = right_inverse(right_division(X0,X1)),
inference(superposition,[],[f607,f5]) ).
fof(f677,plain,
! [X2,X0,X1] : multiply(X2,right_division(X1,X0)) = right_division(X2,right_division(X0,X1)),
inference(superposition,[],[f416,f655]) ).
fof(f680,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X2)) = multiply(multiply(X2,multiply(X0,right_division(X2,X1))),X1),
inference(backward_demodulation,[],[f175,f677]) ).
fof(f704,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,right_division(X0,X2))) = right_division(multiply(X0,multiply(X1,X0)),X2),
inference(superposition,[],[f6,f680]) ).
fof(f779,plain,
! [X0,X1] : left_division(left_division(X0,X1),X0) = left_division(X1,multiply(X0,X0)),
inference(superposition,[],[f4,f423]) ).
fof(f803,plain,
! [X0,X1] : left_division(left_division(X0,X1),X1) = multiply(left_division(X1,multiply(X0,X0)),left_division(X0,X1)),
inference(backward_demodulation,[],[f515,f779]) ).
fof(f878,plain,
! [X0,X1] : multiply(X0,multiply(X0,X1)) = multiply(multiply(X0,X1),left_division(X1,multiply(X0,X1))),
inference(superposition,[],[f487,f6]) ).
fof(f909,plain,
! [X0,X1] : multiply(X0,multiply(X0,X1)) = multiply(multiply(X0,X1),multiply(left_division(X1,X0),X1)),
inference(forward_demodulation,[],[f878,f426]) ).
fof(f919,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,multiply(left_division(left_division(X0,X1),X0),left_division(X0,X1))),
inference(superposition,[],[f909,f3]) ).
fof(f961,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,multiply(left_division(X1,multiply(X0,X0)),left_division(X0,X1))),
inference(forward_demodulation,[],[f919,f779]) ).
fof(f972,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,left_division(left_division(X0,X1),X1)),
inference(forward_demodulation,[],[f961,f803]) ).
fof(f989,plain,
! [X0,X1] : left_division(X1,multiply(X0,X1)) = left_division(left_division(X0,X1),X1),
inference(superposition,[],[f4,f972]) ).
fof(f991,plain,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X1,multiply(left_division(left_division(X0,X1),X1),X1)),
inference(superposition,[],[f19,f972]) ).
fof(f1009,plain,
! [X0,X1] : multiply(left_division(X1,X0),X1) = left_division(left_division(X0,X1),X1),
inference(forward_demodulation,[],[f989,f426]) ).
fof(f1019,plain,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X1,multiply(multiply(left_division(X1,X0),X1),X1)),
inference(backward_demodulation,[],[f991,f1009]) ).
fof(f1037,plain,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
inference(forward_demodulation,[],[f1019,f52]) ).
fof(f1328,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = left_division(multiply(X0,multiply(X1,X1)),multiply(multiply(X0,X1),multiply(multiply(X1,X2),multiply(X0,X1)))),
inference(superposition,[],[f40,f1037]) ).
fof(f1338,plain,
! [X2,X0,X1] : multiply(left_division(X0,X1),X2) = left_division(multiply(X2,X0),multiply(X2,multiply(X1,X2))),
inference(superposition,[],[f40,f3]) ).
fof(f1391,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = left_division(multiply(X0,multiply(X1,X1)),multiply(multiply(X0,X1),multiply(X1,multiply(multiply(X2,X0),X1)))),
inference(forward_demodulation,[],[f1328,f21]) ).
fof(f1458,plain,
! [X2,X0,X1] : multiply(left_division(X2,right_division(X0,X1)),X1) = left_division(multiply(X1,X2),multiply(X1,X0)),
inference(superposition,[],[f1338,f5]) ).
fof(f1461,plain,
! [X2,X3,X0,X1] : multiply(left_division(X3,multiply(X0,right_division(X1,X2))),X2) = left_division(multiply(X2,X3),multiply(multiply(X2,X0),X1)),
inference(superposition,[],[f1338,f61]) ).
fof(f1483,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = multiply(left_division(multiply(X1,X1),multiply(X1,right_division(multiply(X1,multiply(multiply(X2,X0),X1)),X0))),X0),
inference(backward_demodulation,[],[f1391,f1461]) ).
fof(f1536,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = multiply(multiply(left_division(X1,right_division(right_division(multiply(X1,multiply(multiply(X2,X0),X1)),X0),X1)),X1),X0),
inference(forward_demodulation,[],[f1483,f1458]) ).
fof(f1574,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = multiply(left_division(X1,right_division(multiply(X1,multiply(multiply(X2,X0),X1)),X0)),X0),
inference(forward_demodulation,[],[f1536,f407]) ).
fof(f1595,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = multiply(left_division(X1,multiply(X1,multiply(multiply(X2,X0),right_division(X1,X0)))),X0),
inference(forward_demodulation,[],[f1574,f704]) ).
fof(f1603,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = multiply(multiply(multiply(X2,X0),right_division(X1,X0)),X0),
inference(forward_demodulation,[],[f1595,f4]) ).
fof(f1635,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,multiply(X0,X1))) = multiply(multiply(multiply(X2,X1),X0),X1),
inference(superposition,[],[f1603,f6]) ).
fof(f1693,plain,
$false,
inference(backward_subsumption_resolution,[],[f12,f1635]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP200-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 % Computer : n019.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 09:37:33 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.46 Running first-order theorem proving
% 0.14/0.46 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
% 17.50/3.48 % (2836953)Detected a unit-equality problem, will run specialized UEQ schedule.
% 17.50/3.48 % (2836964)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=11108011:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 17.50/3.48 % (2836960)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1941225290:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 17.50/3.48 % (2836958)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=178735420:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 17.50/3.48 % (2836959)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=2395367263:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 17.50/3.48 % (2836961)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2374706420:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 17.50/3.48 % (2836963)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3350596439:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 17.50/3.48 % (2836962)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=959558323:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 17.50/3.48 % (2836961)Instruction limit reached!
% 17.50/3.48 % (2836961)------------------------------
% 17.50/3.48 % (2836961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.48 % (2836961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.48 % (2836961)CaDiCaL version: 2.1.3
% 17.50/3.48 % (2836961)Termination reason: Instruction limit
% 17.50/3.48 % (2836961)Termination phase: Saturation
% 17.50/3.48 % (2836961)Time elapsed: 0.131 s
% 17.50/3.48 % (2836961)Peak memory usage: 88 MB
% 17.50/3.48 % (2836961)Instructions burned: 136 (million)
% 17.50/3.48 % (2836962)Instruction limit reached!
% 17.50/3.48 % (2836962)------------------------------
% 17.50/3.48 % (2836962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.48 % (2836962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.48 % (2836962)CaDiCaL version: 2.1.3
% 17.50/3.48 % (2836962)Termination reason: Instruction limit
% 17.50/3.48 % (2836962)Termination phase: Saturation
% 17.50/3.48 % (2836962)Time elapsed: 0.170 s
% 17.50/3.48 % (2836962)Peak memory usage: 89 MB
% 17.50/3.48 % (2836962)Instructions burned: 181 (million)
% 17.50/3.48 % (2836963)Instruction limit reached!
% 17.50/3.48 % (2836963)------------------------------
% 17.50/3.48 % (2836963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.48 % (2836963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.48 % (2836963)CaDiCaL version: 2.1.3
% 17.50/3.48 % (2836963)Termination reason: Instruction limit
% 17.50/3.48 % (2836963)Termination phase: Saturation
% 17.50/3.48 % (2836963)Time elapsed: 0.259 s
% 17.50/3.48 % (2836963)Peak memory usage: 90 MB
% 17.50/3.48 % (2836963)Instructions burned: 257 (million)
% 17.50/3.48 % (2836973)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3638380443:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 17.50/3.48 % (2836975)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3680031168:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 17.50/3.48 % (2836964)Instruction limit reached!
% 17.50/3.48 % (2836964)------------------------------
% 17.50/3.48 % (2836964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.48 % (2836964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.48 % (2836964)CaDiCaL version: 2.1.3
% 17.50/3.48 % (2836964)Termination reason: Instruction limit
% 17.50/3.48 % (2836964)Termination phase: Saturation
% 17.50/3.48 % (2836964)Time elapsed: 0.599 s
% 17.50/3.48 % (2836964)Peak memory usage: 100 MB
% 17.50/3.48 % (2836964)Instructions burned: 1188 (million)
% 17.50/3.48 % (2836976)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1937505725:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 17.50/3.48 % (2836976)Instruction limit reached!
% 17.50/3.48 % (2836976)------------------------------
% 17.50/3.48 % (2836976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.48 % (2836976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.48 % (2836976)CaDiCaL version: 2.1.3
% 17.50/3.48 % (2836976)Termination reason: Instruction limit
% 17.50/3.48 % (2836976)Termination phase: Saturation
% 17.50/3.48 % (2836976)Time elapsed: 0.196 s
% 17.50/3.48 % (2836976)Peak memory usage: 89 MB
% 17.50/3.48 % (2836976)Instructions burned: 216 (million)
% 17.50/3.48 % (2836979)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=3540489914:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 17.50/3.48 % (2836979)Instruction limit reached!
% 17.50/3.48 % (2836979)------------------------------
% 17.50/3.48 % (2836979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.48 % (2836979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.48 % (2836979)CaDiCaL version: 2.1.3
% 17.50/3.48 % (2836979)Termination reason: Instruction limit
% 17.50/3.48 % (2836979)Termination phase: Saturation
% 17.50/3.48 % (2836979)Time elapsed: 0.182 s
% 17.50/3.48 % (2836979)Peak memory usage: 95 MB
% 17.50/3.48 % (2836979)Instructions burned: 318 (million)
% 17.50/3.48 % (2836982)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=113202527:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/12125Mi)
% 17.50/3.48 % (2836983)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2922286011:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2987 on theBenchmark for (2987ds/2836Mi)
% 17.50/3.48 % (2836973)First to succeed.
% 17.50/3.48 % (2836973)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2836953"
% 17.50/3.48 % (2836973)Refutation found. Thanks to Tanya!
% 17.50/3.48 % SZS status Unsatisfiable for theBenchmark
% 17.50/3.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/3.71 % (2836973)------------------------------
% 0.22/3.71 % (2836973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/3.71 % (2836973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/3.71 % (2836973)CaDiCaL version: 2.1.3
% 0.22/3.71 % (2836973)Termination reason: Refutation
% 0.22/3.71 % (2836973)Time elapsed: 1.341 s
% 0.22/3.71 % (2836973)Peak memory usage: 132 MB
% 0.22/3.71 % (2836973)Instructions burned: 1293 (million)
% 0.22/3.71 % (2836973)------------------------------
% 0.22/3.71 % (2836973)------------------------------
% 0.22/3.71 % (2836953)Success in time 2.469 s
% 0.22/3.71 % Vampire exiting
%------------------------------------------------------------------------------