%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP502-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 10:14:09 AM UTC 2026
% Result : Unsatisfiable 7.99s 2.30s
% Output : Refutation 7.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of formulae : 65 ( 65 unt; 0 def)
% Number of atoms : 65 ( 64 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 227 ( 227 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,inverse(double_divide(X1,X2))),double_divide(inverse(X1),inverse(double_divide(X3,double_divide(X0,X3))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f4,plain,
inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X3),inverse(double_divide(X4,double_divide(X2,X4)))) = double_divide(double_divide(X1,inverse(X0)),double_divide(inverse(double_divide(X2,inverse(double_divide(X3,X0)))),inverse(double_divide(X5,double_divide(X1,X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(double_divide(double_divide(X1,inverse(double_divide(X2,X0))),inverse(double_divide(X3,X4))),double_divide(inverse(X3),inverse(double_divide(double_divide(inverse(X2),inverse(double_divide(X5,double_divide(X1,X5)))),X0)))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : double_divide(inverse(X5),inverse(double_divide(X6,double_divide(X7,X6)))) = double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(double_divide(X2,inverse(double_divide(X3,X1)))),inverse(double_divide(X4,double_divide(X0,X4))))),double_divide(inverse(double_divide(X7,inverse(double_divide(X5,double_divide(X8,double_divide(X2,X8)))))),inverse(double_divide(X9,double_divide(inverse(X3),X9))))),
inference(superposition,[],[f5,f5]) ).
fof(f20,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X2,X1)))) = double_divide(inverse(X0),inverse(double_divide(X3,double_divide(X2,X3)))),
inference(superposition,[],[f5,f5]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X2,X5) = double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(double_divide(X2,inverse(double_divide(X3,X1)))),inverse(double_divide(X4,double_divide(X0,X4))))),double_divide(inverse(X5),inverse(double_divide(X6,double_divide(inverse(X3),X6))))),
inference(superposition,[],[f1,f5]) ).
fof(f27,plain,
! [X2,X8,X6,X7,X5] : double_divide(inverse(X5),inverse(double_divide(X6,double_divide(X7,X6)))) = double_divide(X2,double_divide(X7,inverse(double_divide(X5,double_divide(X8,double_divide(X2,X8)))))),
inference(forward_demodulation,[],[f11,f22]) ).
fof(f61,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X0)),inverse(double_divide(X3,double_divide(inverse(X1),X3)))) = X2,
inference(superposition,[],[f1,f27]) ).
fof(f113,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(X4,double_divide(X2,X4))) = double_divide(double_divide(X3,inverse(double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X2,X1)))))),double_divide(inverse(inverse(X0)),inverse(double_divide(X5,double_divide(X3,X5))))),
inference(superposition,[],[f1,f20]) ).
fof(f120,plain,
! [X2,X1,X4] : inverse(double_divide(X1,double_divide(X2,X1))) = inverse(double_divide(X4,double_divide(X2,X4))),
inference(forward_demodulation,[],[f113,f1]) ).
fof(f273,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(X1),inverse(double_divide(double_divide(double_divide(X2,inverse(double_divide(X1,X0))),X2),X3))),X0) = X3,
inference(superposition,[],[f1,f61]) ).
fof(f330,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X0,double_divide(inverse(X3),inverse(double_divide(double_divide(inverse(double_divide(double_divide(X2,inverse(double_divide(X1,inverse(double_divide(X3,X4))))),X2)),inverse(double_divide(X5,double_divide(inverse(X1),X5)))),X0)))) = X4,
inference(superposition,[],[f6,f273]) ).
fof(f354,plain,
! [X3,X0,X4] : double_divide(X0,double_divide(inverse(X3),inverse(double_divide(inverse(double_divide(X3,X4)),X0)))) = X4,
inference(forward_demodulation,[],[f330,f61]) ).
fof(f367,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X3),inverse(double_divide(inverse(double_divide(X3,X0)),X2))) = double_divide(X1,double_divide(inverse(X2),inverse(double_divide(inverse(X0),X1)))),
inference(superposition,[],[f354,f354]) ).
fof(f369,plain,
! [X2,X3,X0,X1] : double_divide(X1,X3) = double_divide(X2,double_divide(inverse(X3),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X2)))),
inference(superposition,[],[f354,f120]) ).
fof(f1515,plain,
! [X2,X0,X1] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),X1))) = X2,
inference(superposition,[],[f1,f367]) ).
fof(f1568,plain,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(X2,X0)),X1)) = double_divide(inverse(X1),inverse(double_divide(inverse(X0),inverse(X2)))),
inference(superposition,[],[f1515,f354]) ).
fof(f1579,plain,
! [X2,X0,X1] : double_divide(inverse(X2),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X0))),X1))) = X2,
inference(superposition,[],[f1515,f120]) ).
fof(f1603,plain,
! [X2,X3,X0,X1] : double_divide(X0,double_divide(inverse(inverse(double_divide(X1,double_divide(X2,X0)))),inverse(double_divide(X3,double_divide(inverse(X1),X3))))) = X2,
inference(superposition,[],[f1,f1515]) ).
fof(f1675,plain,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X2)))),X1)) = X2,
inference(superposition,[],[f1515,f1568]) ).
fof(f1816,plain,
! [X2,X3,X0,X1,X4] : double_divide(X1,X2) = double_divide(inverse(double_divide(inverse(double_divide(X3,double_divide(X4,X3))),X4)),double_divide(inverse(X2),inverse(double_divide(X0,double_divide(X1,X0))))),
inference(superposition,[],[f369,f1579]) ).
fof(f1953,plain,
! [X3,X0,X4,X5] : double_divide(X0,inverse(double_divide(X3,double_divide(X4,X3)))) = double_divide(X0,inverse(double_divide(X5,double_divide(X4,X5)))),
inference(superposition,[],[f20,f1675]) ).
fof(f2581,plain,
! [X2,X3,X0,X1,X4] : inverse(X0) = double_divide(inverse(double_divide(inverse(double_divide(X1,double_divide(X2,X1))),X2)),double_divide(inverse(inverse(double_divide(X3,X0))),inverse(double_divide(X4,double_divide(inverse(X3),X4))))),
inference(superposition,[],[f1603,f1579]) ).
fof(f2780,plain,
! [X3,X0] : inverse(X0) = double_divide(inverse(X3),inverse(double_divide(X3,X0))),
inference(forward_demodulation,[],[f2581,f1816]) ).
fof(f2786,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(X1),inverse(double_divide(X2,double_divide(X3,X2))))) = double_divide(inverse(double_divide(X3,inverse(double_divide(X1,X0)))),inverse(X0)),
inference(superposition,[],[f2780,f1]) ).
fof(f2788,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(inverse(X1),inverse(double_divide(double_divide(inverse(X2),inverse(double_divide(X3,double_divide(X4,X3)))),X5)))) = double_divide(inverse(double_divide(double_divide(X4,inverse(double_divide(X2,X5))),inverse(double_divide(X1,X0)))),inverse(X0)),
inference(superposition,[],[f2780,f6]) ).
fof(f2806,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X3),inverse(double_divide(X0,X1))) = inverse(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X2,double_divide(X0,X2))),X3)))),
inference(superposition,[],[f2780,f369]) ).
fof(f2808,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),inverse(X0)) = inverse(double_divide(inverse(inverse(double_divide(X1,double_divide(X0,X2)))),inverse(double_divide(X3,double_divide(inverse(X1),X3))))),
inference(superposition,[],[f2780,f1603]) ).
fof(f2832,plain,
! [X0,X1] : inverse(X0) = inverse(double_divide(X1,double_divide(X0,X1))),
inference(superposition,[],[f1579,f2780]) ).
fof(f2841,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X0,X1)) = double_divide(X2,double_divide(X0,inverse(double_divide(X1,double_divide(X3,double_divide(X2,X3)))))),
inference(superposition,[],[f27,f2780]) ).
fof(f2843,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,inverse(double_divide(X1,X2))),inverse(double_divide(X0,X1))) = X2,
inference(superposition,[],[f1,f2780]) ).
fof(f2860,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),inverse(double_divide(X2,double_divide(inverse(X1),X2)))) = X0,
inference(superposition,[],[f61,f2780]) ).
fof(f2866,plain,
! [X2,X0,X1] : inverse(double_divide(X0,X1)) = double_divide(inverse(X1),inverse(double_divide(X2,double_divide(X0,X2)))),
inference(superposition,[],[f1953,f2780]) ).
fof(f2920,plain,
! [X0,X1] : inverse(double_divide(inverse(X1),double_divide(inverse(X0),inverse(X1)))) = X0,
inference(forward_demodulation,[],[f2860,f2866]) ).
fof(f2934,plain,
! [X2,X0,X1] : double_divide(inverse(X2),inverse(X0)) = inverse(inverse(double_divide(inverse(X1),inverse(double_divide(X1,double_divide(X0,X2)))))),
inference(forward_demodulation,[],[f2808,f2866]) ).
fof(f2936,plain,
! [X3,X0,X1] : double_divide(inverse(X3),inverse(double_divide(X0,X1))) = inverse(double_divide(inverse(X1),inverse(double_divide(inverse(X0),X3)))),
inference(forward_demodulation,[],[f2806,f2832]) ).
fof(f2948,plain,
! [X2,X0,X1,X4,X5] : double_divide(inverse(double_divide(double_divide(X4,inverse(double_divide(X2,X5))),inverse(double_divide(X1,X0)))),inverse(X0)) = inverse(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X4,X2)),X5)))),
inference(forward_demodulation,[],[f2788,f2866]) ).
fof(f2950,plain,
! [X3,X0,X1] : inverse(inverse(double_divide(X3,X1))) = double_divide(inverse(double_divide(X3,inverse(double_divide(X1,X0)))),inverse(X0)),
inference(forward_demodulation,[],[f2786,f2866]) ).
fof(f2960,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f2920,f2832]) ).
fof(f2966,plain,
! [X2,X0] : double_divide(inverse(X2),inverse(X0)) = inverse(inverse(inverse(double_divide(X0,X2)))),
inference(forward_demodulation,[],[f2934,f2780]) ).
fof(f2973,plain,
! [X2,X0,X1,X4,X5] : double_divide(inverse(double_divide(double_divide(X4,inverse(double_divide(X2,X5))),inverse(double_divide(X1,X0)))),inverse(X0)) = double_divide(inverse(X5),inverse(double_divide(double_divide(X4,X2),X1))),
inference(forward_demodulation,[],[f2948,f2936]) ).
fof(f2980,plain,
! [X2,X0] : inverse(double_divide(X0,X2)) = double_divide(inverse(X2),inverse(X0)),
inference(forward_demodulation,[],[f2966,f2960]) ).
fof(f2986,plain,
! [X2,X1,X4,X5] : double_divide(inverse(X5),inverse(double_divide(double_divide(X4,X2),X1))) = inverse(inverse(double_divide(double_divide(X4,inverse(double_divide(X2,X5))),X1))),
inference(forward_demodulation,[],[f2973,f2950]) ).
fof(f2994,plain,
! [X2,X1,X4,X5] : double_divide(double_divide(X4,inverse(double_divide(X2,X5))),X1) = double_divide(inverse(X5),inverse(double_divide(double_divide(X4,X2),X1))),
inference(forward_demodulation,[],[f2986,f2960]) ).
fof(f2996,plain,
! [X2,X1,X4,X5] : double_divide(double_divide(X4,inverse(double_divide(X2,X5))),X1) = inverse(double_divide(double_divide(double_divide(X4,X2),X1),X5)),
inference(forward_demodulation,[],[f2994,f2980]) ).
fof(f3009,plain,
! [X2,X3,X0,X1,X4] : double_divide(X0,inverse(double_divide(X1,double_divide(X2,X1)))) = double_divide(X3,double_divide(X2,inverse(double_divide(inverse(X0),double_divide(X4,double_divide(X3,X4)))))),
inference(superposition,[],[f27,f2960]) ).
fof(f3016,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,X2)),inverse(X0)))) = double_divide(X3,double_divide(X0,inverse(double_divide(inverse(X2),X3)))),
inference(superposition,[],[f367,f2960]) ).
fof(f3017,plain,
! [X2,X3,X0,X1] : double_divide(X1,inverse(X0)) = double_divide(X2,double_divide(X0,inverse(double_divide(inverse(double_divide(X3,double_divide(X1,X3))),X2)))),
inference(superposition,[],[f369,f2960]) ).
fof(f3039,plain,
! [X2,X0,X1] : double_divide(X1,inverse(X0)) = double_divide(X2,double_divide(X0,inverse(double_divide(inverse(X1),X2)))),
inference(forward_demodulation,[],[f3017,f2832]) ).
fof(f3040,plain,
! [X2,X3,X0,X1] : inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),X1)) = double_divide(X3,double_divide(X0,inverse(double_divide(inverse(X2),X3)))),
inference(forward_demodulation,[],[f3016,f1568]) ).
fof(f3046,plain,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(X1,double_divide(X2,X1)))) = inverse(double_divide(X2,inverse(X0))),
inference(forward_demodulation,[],[f3009,f2841]) ).
fof(f3060,plain,
! [X2,X0,X1] : double_divide(X2,inverse(X0)) = inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),X1)),
inference(forward_demodulation,[],[f3040,f3039]) ).
fof(f3065,plain,
! [X2,X0] : inverse(double_divide(X2,inverse(X0))) = double_divide(X0,inverse(X2)),
inference(forward_demodulation,[],[f3046,f2832]) ).
fof(f3106,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(double_divide(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X0),X3),X1)),X2) = X3,
inference(superposition,[],[f273,f2980]) ).
fof(f3263,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),inverse(double_divide(X0,X1))),X3),X2) = X3,
inference(forward_demodulation,[],[f3106,f2996]) ).
fof(f3332,plain,
! [X2,X3] : double_divide(double_divide(X2,X3),X2) = X3,
inference(forward_demodulation,[],[f3263,f2843]) ).
fof(f4099,plain,
! [X2,X0,X1] : double_divide(X0,inverse(X0)) = inverse(double_divide(inverse(double_divide(X1,double_divide(X2,X1))),X2)),
inference(superposition,[],[f3332,f1579]) ).
fof(f4280,plain,
! [X0,X1] : double_divide(X1,inverse(X1)) = double_divide(X0,inverse(X0)),
inference(forward_demodulation,[],[f4099,f3060]) ).
fof(f4637,plain,
! [X0] : inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(X0,inverse(X0))),
inference(superposition,[],[f4,f4280]) ).
fof(f4638,plain,
! [X0] : inverse(double_divide(a1,inverse(a1))) != double_divide(X0,inverse(X0)),
inference(forward_demodulation,[],[f4637,f3065]) ).
fof(f4782,plain,
! [X0] : double_divide(a1,inverse(a1)) != double_divide(X0,inverse(X0)),
inference(forward_demodulation,[],[f4638,f3065]) ).
fof(f4914,plain,
$false,
inference(forward_subsumption_resolution,[],[f4782,f4280]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP502-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 10:09:31 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.99/2.30 % (1427651)Detected a unit-equality problem, will run specialized UEQ schedule.
% 7.99/2.30 % (1427662)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2663239405:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 7.99/2.30 % (1427661)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1786999540:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 7.99/2.30 % (1427660)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3518195534:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 7.99/2.30 % (1427659)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=4209617978:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 7.99/2.30 % (1427656)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=135011127:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 7.99/2.30 % (1427657)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=3573775531:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 7.99/2.30 % (1427658)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4125534557:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 7.99/2.30 % (1427659)Instruction limit reached!
% 7.99/2.30 % (1427659)------------------------------
% 7.99/2.30 % (1427659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.99/2.30 % (1427659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/2.30 % (1427659)CaDiCaL version: 2.1.3
% 7.99/2.30 % (1427659)Termination reason: Instruction limit
% 7.99/2.30 % (1427659)Termination phase: Saturation
% 7.99/2.30 % (1427659)Time elapsed: 0.078 s
% 7.99/2.30 % (1427659)Peak memory usage: 89 MB
% 7.99/2.30 % (1427659)Instructions burned: 136 (million)
% 7.99/2.30 % (1427660)Instruction limit reached!
% 7.99/2.30 % (1427660)------------------------------
% 7.99/2.30 % (1427660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.99/2.30 % (1427660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/2.30 % (1427660)CaDiCaL version: 2.1.3
% 7.99/2.30 % (1427660)Termination reason: Instruction limit
% 7.99/2.30 % (1427660)Termination phase: Saturation
% 7.99/2.30 % (1427660)Time elapsed: 0.091 s
% 7.99/2.30 % (1427660)Peak memory usage: 89 MB
% 7.99/2.30 % (1427660)Instructions burned: 182 (million)
% 7.99/2.30 % (1427661)Instruction limit reached!
% 7.99/2.30 % (1427661)------------------------------
% 7.99/2.30 % (1427661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.99/2.30 % (1427661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/2.30 % (1427661)CaDiCaL version: 2.1.3
% 7.99/2.30 % (1427661)Termination reason: Instruction limit
% 7.99/2.30 % (1427661)Termination phase: Saturation
% 7.99/2.30 % (1427661)Time elapsed: 0.180 s
% 7.99/2.30 % (1427661)Peak memory usage: 90 MB
% 7.99/2.30 % (1427661)Instructions burned: 257 (million)
% 7.99/2.30 % (1427670)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3254812282:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 7.99/2.30 % (1427671)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2042463275:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 7.99/2.30 % (1427662)Instruction limit reached!
% 7.99/2.30 % (1427662)------------------------------
% 7.99/2.30 % (1427662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.99/2.30 % (1427662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/2.30 % (1427662)CaDiCaL version: 2.1.3
% 7.99/2.30 % (1427662)Termination reason: Instruction limit
% 7.99/2.30 % (1427662)Termination phase: Saturation
% 7.99/2.30 % (1427662)Time elapsed: 0.336 s
% 7.99/2.30 % (1427662)Peak memory usage: 98 MB
% 7.99/2.30 % (1427662)Instructions burned: 1192 (million)
% 7.99/2.30 % (1427673)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1919973607:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 7.99/2.30 % (1427676)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=1388059191:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2995 on theBenchmark for (2995ds/317Mi)
% 7.99/2.30 % (1427673)Instruction limit reached!
% 7.99/2.30 % (1427673)------------------------------
% 7.99/2.30 % (1427673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.99/2.30 % (1427673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/2.30 % (1427673)CaDiCaL version: 2.1.3
% 7.99/2.30 % (1427673)Termination reason: Instruction limit
% 7.99/2.30 % (1427673)Termination phase: Saturation
% 7.99/2.30 % (1427673)Time elapsed: 0.132 s
% 7.99/2.30 % (1427673)Peak memory usage: 91 MB
% 7.99/2.30 % (1427673)Instructions burned: 216 (million)
% 7.99/2.30 % (1427676)Instruction limit reached!
% 7.99/2.30 % (1427676)------------------------------
% 7.99/2.30 % (1427676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.99/2.30 % (1427676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/2.30 % (1427676)CaDiCaL version: 2.1.3
% 7.99/2.30 % (1427676)Termination reason: Instruction limit
% 7.99/2.30 % (1427676)Termination phase: Saturation
% 7.99/2.30 % (1427676)Time elapsed: 0.095 s
% 7.99/2.30 % (1427676)Peak memory usage: 93 MB
% 7.99/2.30 % (1427676)Instructions burned: 320 (million)
% 7.99/2.30 % (1427721)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=3768120957:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/12125Mi)
% 7.99/2.30 % (1427731)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3069986432:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2993 on theBenchmark for (2993ds/2836Mi)
% 7.99/2.30 % (1427657)First to succeed.
% 7.99/2.30 % (1427657)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1427651"
% 7.99/2.30 % (1427658)Also succeeded, but the first one will report.
% 7.99/2.30 % (1427731)Also succeeded, but the first one will report.
% 7.99/2.30 % (1427670)Instruction limit reached!
% 7.99/2.30 % (1427670)------------------------------
% 7.99/2.30 % (1427670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.99/2.30 % (1427670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/2.30 % (1427670)CaDiCaL version: 2.1.3
% 7.99/2.30 % (1427670)Termination reason: Instruction limit
% 7.99/2.30 % (1427670)Termination phase: Saturation
% 7.99/2.30 % (1427670)Time elapsed: 1.261 s
% 7.99/2.30 % (1427670)Peak memory usage: 140 MB
% 7.99/2.30 % (1427670)Instructions burned: 2052 (million)
% 7.99/2.30 % (1427657)Refutation found. Thanks to Tanya!
% 7.99/2.30 % SZS status Unsatisfiable for theBenchmark
% 7.99/2.30 % SZS output start Proof for theBenchmark
% See solution above
% 7.99/2.40 % (1427657)------------------------------
% 7.99/2.40 % (1427657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.99/2.40 % (1427657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/2.40 % (1427657)CaDiCaL version: 2.1.3
% 7.99/2.40 % (1427657)Termination reason: Refutation
% 7.99/2.40 % (1427657)Time elapsed: 1.250 s
% 7.99/2.40 % (1427657)Peak memory usage: 139 MB
% 7.99/2.40 % (1427657)Instructions burned: 2101 (million)
% 7.99/2.40 % (1427657)------------------------------
% 7.99/2.40 % (1427657)------------------------------
% 7.99/2.40 % (1427651)Success in time 1.683 s
% 7.99/2.40 % Vampire exiting
%------------------------------------------------------------------------------