%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP440-1 : 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 : 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 10:14:01 AM UTC 2026
% Result : Unsatisfiable 20.28s 8.74s
% Output : Refutation 20.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 5
% Syntax : Number of formulae : 84 ( 84 unt; 3 def)
% Number of atoms : 84 ( 83 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 219 ( 219 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2))))))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f3,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f2]) ).
fof(f4,definition,
sF0 = inverse(b2),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f5,plain,
inverse(b2) = sF0,
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF1 = multiply(sF0,b2),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f7,plain,
multiply(sF0,b2) = sF1,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF2 = multiply(sF1,a2),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f9,plain,
multiply(sF1,a2) = sF2,
inference(reorient_equations,[],[f8]) ).
fof(f10,plain,
a2 != sF2,
inference(definition_folding,[],[f3,f9,f7,f5]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(X1,multiply(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),X4),inverse(multiply(X0,multiply(X2,X4)))))),multiply(multiply(X0,X5),inverse(multiply(X6,multiply(X1,X5))))))) = X6,
inference(superposition,[],[f1,f1]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),X3),inverse(multiply(X0,multiply(X4,X3))))),X0)))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f15,plain,
! [X2,X0,X1] : inverse(multiply(X0,multiply(b2,multiply(multiply(sF0,X1),inverse(multiply(X2,multiply(X0,X1))))))) = X2,
inference(superposition,[],[f1,f5]) ).
fof(f26,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),multiply(multiply(inverse(X3),X4),inverse(multiply(X5,multiply(X0,X4))))),X5)),X0)))) = X3,
inference(superposition,[],[f1,f12]) ).
fof(f44,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(X6,multiply(X7,multiply(multiply(inverse(X7),X8),inverse(multiply(X3,multiply(X6,X8)))))) = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),multiply(multiply(X3,X4),inverse(multiply(X0,multiply(X5,X4))))),X0)),X5)))),
inference(superposition,[],[f12,f11]) ).
fof(f219,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(inverse(X3),multiply(X0,X2)))))) = X3,
inference(superposition,[],[f26,f44]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(X3,multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X0),multiply(X1,X4)))))),inverse(multiply(X5,X0)))))) = X5,
inference(superposition,[],[f1,f219]) ).
fof(f343,plain,
! [X0,X1,X4] : inverse(multiply(inverse(X1),multiply(X1,multiply(X0,inverse(multiply(X4,X0)))))) = X4,
inference(superposition,[],[f287,f219]) ).
fof(f411,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(X3,multiply(multiply(inverse(X3),multiply(X4,inverse(multiply(X0,X4)))),X0))),inverse(multiply(X5,X1)))))) = X5,
inference(superposition,[],[f287,f343]) ).
fof(f412,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(X3,inverse(multiply(X0,X3)))),X0))) = X1,
inference(superposition,[],[f219,f343]) ).
fof(f417,plain,
! [X2,X0,X1] : inverse(X1) = inverse(multiply(X1,multiply(b2,multiply(multiply(sF0,multiply(X2,inverse(multiply(X0,X2)))),X0)))),
inference(superposition,[],[f15,f343]) ).
fof(f440,plain,
! [X2,X1,X5] : inverse(multiply(X1,multiply(X2,multiply(inverse(X2),inverse(multiply(X5,X1)))))) = X5,
inference(forward_demodulation,[],[f411,f412]) ).
fof(f469,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(inverse(X1),inverse(multiply(X0,X3)))),X0)))) = X3,
inference(superposition,[],[f1,f440]) ).
fof(f540,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,multiply(X4,inverse(multiply(X0,X4)))) = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(inverse(X1),X0)),inverse(X3))))),
inference(superposition,[],[f469,f343]) ).
fof(f727,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(X2,multiply(multiply(inverse(X2),multiply(X3,inverse(multiply(X4,X3)))),X4))),inverse(multiply(inverse(X5),X0))))) = X5,
inference(superposition,[],[f219,f412]) ).
fof(f742,plain,
! [X0,X1,X5] : multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(inverse(X5),X0))))) = X5,
inference(forward_demodulation,[],[f727,f412]) ).
fof(f1188,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),X2)),X1)))) = X2,
inference(superposition,[],[f469,f540]) ).
fof(f1190,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,multiply(X1,multiply(inverse(X1),X2))),multiply(X3,inverse(multiply(X2,X3)))) = X0,
inference(superposition,[],[f1,f540]) ).
fof(f1323,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,multiply(X1,multiply(inverse(X1),X2)))),X0)) = X2,
inference(superposition,[],[f1,f1190]) ).
fof(f1325,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,multiply(X1,multiply(inverse(X1),inverse(X2))))),X0) = X2,
inference(superposition,[],[f219,f1190]) ).
fof(f1394,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(X1,X3),multiply(X4,multiply(inverse(X4),X0)))) = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),X0)))),
inference(superposition,[],[f1,f1323]) ).
fof(f1398,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(X1,X2),multiply(X3,multiply(inverse(X3),X0)))) = inverse(multiply(X1,multiply(b2,multiply(multiply(sF0,X2),X0)))),
inference(superposition,[],[f15,f1323]) ).
fof(f1444,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),X0)))) = inverse(multiply(X1,multiply(b2,multiply(multiply(sF0,X3),X0)))),
inference(forward_demodulation,[],[f1394,f1398]) ).
fof(f1651,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X2),X0)) = multiply(X1,multiply(inverse(X1),X0)),
inference(superposition,[],[f1188,f1323]) ).
fof(f1664,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X0)),X1) = multiply(inverse(multiply(inverse(X2),X0)),inverse(X2)),
inference(superposition,[],[f1325,f1188]) ).
fof(f1778,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(X0)) = multiply(X4,multiply(inverse(X4),multiply(X1,multiply(multiply(inverse(X1),multiply(X2,inverse(multiply(X3,X2)))),X3)))),
inference(superposition,[],[f1651,f412]) ).
fof(f1810,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = multiply(b2,multiply(sF0,X1)),
inference(superposition,[],[f1651,f5]) ).
fof(f1814,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(X0)) = multiply(X1,multiply(inverse(X1),multiply(X2,multiply(multiply(inverse(X2),multiply(X3,inverse(multiply(X4,X3)))),X4)))),
inference(superposition,[],[f1651,f412]) ).
fof(f2069,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[],[f1814,f412]) ).
fof(f2088,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(X0)) = multiply(b2,multiply(sF0,multiply(X1,multiply(multiply(inverse(X1),multiply(X2,inverse(multiply(X3,X2)))),X3)))),
inference(forward_demodulation,[],[f1778,f1810]) ).
fof(f2159,plain,
! [X0] : multiply(X0,inverse(X0)) = multiply(b2,sF0),
inference(forward_demodulation,[],[f2088,f412]) ).
fof(f2267,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,inverse(X0))) = multiply(X1,multiply(inverse(X1),inverse(inverse(X2)))),
inference(superposition,[],[f1651,f2069]) ).
fof(f2286,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(inverse(X2),inverse(multiply(X0,inverse(X0))))) = inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),multiply(inverse(X3),X2)),inverse(X1))))),
inference(superposition,[],[f540,f2069]) ).
fof(f2293,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(inverse(X2),inverse(multiply(X0,inverse(X0))))) = inverse(multiply(X3,multiply(b2,multiply(multiply(sF0,multiply(inverse(X3),X2)),inverse(X1))))),
inference(forward_demodulation,[],[f2286,f1444]) ).
fof(f2312,plain,
! [X2,X0] : multiply(X2,multiply(X0,inverse(X0))) = multiply(b2,multiply(sF0,inverse(inverse(X2)))),
inference(forward_demodulation,[],[f2267,f1810]) ).
fof(f2412,plain,
! [X2,X3,X1] : inverse(multiply(X3,multiply(b2,multiply(multiply(sF0,multiply(inverse(X3),X2)),inverse(X1))))) = multiply(X1,multiply(inverse(X2),inverse(multiply(b2,sF0)))),
inference(forward_demodulation,[],[f2293,f2159]) ).
fof(f2425,plain,
! [X2] : multiply(X2,multiply(b2,sF0)) = multiply(b2,multiply(sF0,inverse(inverse(X2)))),
inference(forward_demodulation,[],[f2312,f2159]) ).
fof(f2601,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(X3,inverse(multiply(X4,X3)))),X4)))),X1) = multiply(inverse(inverse(X0)),inverse(X0)),
inference(superposition,[],[f1664,f412]) ).
fof(f2849,plain,
! [X3,X0,X1,X4] : multiply(inverse(inverse(X0)),inverse(X0)) = multiply(inverse(multiply(X1,multiply(b2,multiply(multiply(sF0,multiply(X3,inverse(multiply(X4,X3)))),X4)))),X1),
inference(forward_demodulation,[],[f2601,f1444]) ).
fof(f2881,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),inverse(X0)) = multiply(inverse(X1),X1),
inference(forward_demodulation,[],[f2849,f417]) ).
fof(f2904,plain,
! [X2,X0] : multiply(inverse(X0),X0) = multiply(inverse(X2),X2),
inference(superposition,[],[f2881,f2881]) ).
fof(f3178,plain,
! [X0] : multiply(sF0,b2) = multiply(inverse(X0),X0),
inference(superposition,[],[f2904,f5]) ).
fof(f3306,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(inverse(X1),inverse(multiply(inverse(X0),X0)))),inverse(X3))))) = X3,
inference(superposition,[],[f469,f2904]) ).
fof(f3307,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),multiply(inverse(X3),inverse(X2))),inverse(X1))))) = multiply(X1,multiply(X2,inverse(multiply(inverse(X0),X0)))),
inference(superposition,[],[f540,f2904]) ).
fof(f3371,plain,
! [X2,X3,X0,X1] : inverse(multiply(X3,multiply(b2,multiply(multiply(sF0,multiply(inverse(X3),inverse(X2))),inverse(X1))))) = multiply(X1,multiply(X2,inverse(multiply(inverse(X0),X0)))),
inference(forward_demodulation,[],[f3307,f1444]) ).
fof(f3372,plain,
! [X3,X0,X1] : inverse(multiply(X1,multiply(b2,multiply(multiply(sF0,multiply(inverse(X1),inverse(multiply(inverse(X0),X0)))),inverse(X3))))) = X3,
inference(forward_demodulation,[],[f3306,f1444]) ).
fof(f3446,plain,
! [X0] : sF1 = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f3178,f7]) ).
fof(f3462,plain,
! [X2,X0,X1] : multiply(X1,multiply(inverse(inverse(X2)),inverse(multiply(b2,sF0)))) = multiply(X1,multiply(X2,inverse(multiply(inverse(X0),X0)))),
inference(forward_demodulation,[],[f3371,f2412]) ).
fof(f3463,plain,
! [X3,X0] : multiply(X3,multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(b2,sF0)))) = X3,
inference(forward_demodulation,[],[f3372,f2412]) ).
fof(f3491,plain,
! [X2,X1] : multiply(X1,multiply(inverse(inverse(X2)),inverse(multiply(b2,sF0)))) = multiply(X1,multiply(X2,inverse(sF1))),
inference(forward_demodulation,[],[f3462,f3446]) ).
fof(f3492,plain,
! [X3] : multiply(X3,multiply(inverse(inverse(sF1)),inverse(multiply(b2,sF0)))) = X3,
inference(forward_demodulation,[],[f3463,f3446]) ).
fof(f3498,plain,
! [X3] : multiply(X3,multiply(sF1,inverse(sF1))) = X3,
inference(forward_demodulation,[],[f3492,f3491]) ).
fof(f3500,plain,
! [X3] : multiply(X3,multiply(b2,sF0)) = X3,
inference(forward_demodulation,[],[f3498,f2159]) ).
fof(f3692,plain,
sF1 = inverse(multiply(b2,sF0)),
inference(superposition,[],[f3446,f3500]) ).
fof(f3706,plain,
! [X0,X1] : multiply(multiply(b2,sF0),multiply(X1,multiply(inverse(X1),inverse(inverse(X0))))) = X0,
inference(superposition,[],[f742,f3500]) ).
fof(f3781,plain,
! [X0] : multiply(multiply(b2,sF0),multiply(b2,multiply(sF0,inverse(inverse(X0))))) = X0,
inference(forward_demodulation,[],[f3706,f1810]) ).
fof(f3832,plain,
! [X0] : multiply(multiply(b2,sF0),multiply(X0,multiply(b2,sF0))) = X0,
inference(forward_demodulation,[],[f3781,f2425]) ).
fof(f3847,plain,
! [X0] : multiply(multiply(b2,sF0),X0) = X0,
inference(forward_demodulation,[],[f3832,f3500]) ).
fof(f3880,plain,
! [X2,X0,X1] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(inverse(X1),inverse(X0))),multiply(b2,sF0))))) = X0,
inference(superposition,[],[f469,f3847]) ).
fof(f3887,plain,
! [X0] : multiply(X0,inverse(X0)) = inverse(multiply(b2,sF0)),
inference(superposition,[],[f2069,f3847]) ).
fof(f3916,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),inverse(multiply(inverse(X1),multiply(b2,sF0))))) = X1,
inference(superposition,[],[f742,f3847]) ).
fof(f3993,plain,
! [X1] : multiply(b2,multiply(sF0,inverse(multiply(inverse(X1),multiply(b2,sF0))))) = X1,
inference(forward_demodulation,[],[f3916,f1810]) ).
fof(f4021,plain,
! [X0] : sF1 = multiply(X0,inverse(X0)),
inference(forward_demodulation,[],[f3887,f3692]) ).
fof(f4028,plain,
! [X0,X1] : inverse(multiply(X1,multiply(b2,multiply(multiply(sF0,multiply(inverse(X1),inverse(X0))),multiply(b2,sF0))))) = X0,
inference(forward_demodulation,[],[f3880,f1444]) ).
fof(f4074,plain,
! [X1] : multiply(b2,multiply(sF0,inverse(inverse(X1)))) = X1,
inference(forward_demodulation,[],[f3993,f3500]) ).
fof(f4090,plain,
! [X0,X1] : inverse(multiply(X1,multiply(b2,multiply(sF0,multiply(inverse(X1),inverse(X0)))))) = X0,
inference(forward_demodulation,[],[f4028,f3500]) ).
fof(f4438,plain,
! [X0,X1] : multiply(X1,sF1) = multiply(X0,multiply(inverse(X0),inverse(inverse(X1)))),
inference(superposition,[],[f1651,f4021]) ).
fof(f4487,plain,
! [X1] : multiply(X1,sF1) = multiply(b2,multiply(sF0,inverse(inverse(X1)))),
inference(forward_demodulation,[],[f4438,f1810]) ).
fof(f4532,plain,
! [X1] : multiply(X1,sF1) = X1,
inference(forward_demodulation,[],[f4487,f4074]) ).
fof(f4833,plain,
! [X2,X0,X1] : inverse(multiply(X1,multiply(X0,multiply(inverse(X0),multiply(inverse(X1),inverse(multiply(sF1,X2))))))) = X2,
inference(superposition,[],[f469,f4532]) ).
fof(f4848,plain,
! [X2,X1] : inverse(multiply(X1,multiply(b2,multiply(sF0,multiply(inverse(X1),inverse(multiply(sF1,X2))))))) = X2,
inference(forward_demodulation,[],[f4833,f1810]) ).
fof(f4907,plain,
! [X2] : multiply(sF1,X2) = X2,
inference(forward_demodulation,[],[f4848,f4090]) ).
fof(f5130,plain,
a2 = sF2,
inference(superposition,[],[f9,f4907]) ).
fof(f5135,plain,
$false,
inference(forward_subsumption_resolution,[],[f5130,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP440-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.41 % Computer : n015.cluster.edu
% 0.11/5.41 % Model : x86_64 x86_64
% 0.11/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.41 % Memory : 8046.5625MB
% 0.11/5.41 % OS : Linux 6.8.0-71-generic
% 0.11/5.41 % CPULimit : 300
% 0.11/5.41 % WCLimit : 300
% 0.11/5.41 % DateTime : Sun Sep 27 10:08:20 UTC 2026
% 0.11/5.41 % CPUTime :
% 0.11/5.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.45 Running first-order theorem proving
% 0.11/5.45 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
% 20.28/8.74 % (1424346)Detected a unit-equality problem, will run specialized UEQ schedule.
% 20.28/8.74 % (1424351)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=1558026160:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 20.28/8.74 % (1424355)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3321847823:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 20.28/8.74 % (1424352)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=3492833749:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 20.28/8.74 % (1424357)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=460003100:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 20.28/8.74 % (1424353)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=33119257:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 20.28/8.74 % (1424356)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2083601645:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 20.28/8.74 % (1424354)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1203268818:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 20.28/8.74 % (1424354)Instruction limit reached!
% 20.28/8.74 % (1424354)------------------------------
% 20.28/8.74 % (1424354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.28/8.74 % (1424354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.28/8.74 % (1424354)CaDiCaL version: 2.1.3
% 20.28/8.74 % (1424354)Termination reason: Instruction limit
% 20.28/8.74 % (1424354)Termination phase: Saturation
% 20.28/8.74 % (1424354)Time elapsed: 0.073 s
% 20.28/8.74 % (1424354)Peak memory usage: 88 MB
% 20.28/8.74 % (1424354)Instructions burned: 136 (million)
% 20.28/8.74 % (1424355)Instruction limit reached!
% 20.28/8.74 % (1424355)------------------------------
% 20.28/8.74 % (1424355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.28/8.74 % (1424355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.28/8.74 % (1424355)CaDiCaL version: 2.1.3
% 20.28/8.74 % (1424355)Termination reason: Instruction limit
% 20.28/8.74 % (1424355)Termination phase: Saturation
% 20.28/8.74 % (1424355)Time elapsed: 0.098 s
% 20.28/8.74 % (1424355)Peak memory usage: 89 MB
% 20.28/8.74 % (1424355)Instructions burned: 182 (million)
% 20.28/8.74 % (1424356)Instruction limit reached!
% 20.28/8.74 % (1424356)------------------------------
% 20.28/8.74 % (1424356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.28/8.74 % (1424356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.28/8.74 % (1424356)CaDiCaL version: 2.1.3
% 20.28/8.74 % (1424356)Termination reason: Instruction limit
% 20.28/8.74 % (1424356)Termination phase: Saturation
% 20.28/8.74 % (1424356)Time elapsed: 0.144 s
% 20.28/8.74 % (1424356)Peak memory usage: 90 MB
% 20.28/8.74 % (1424356)Instructions burned: 258 (million)
% 20.28/8.74 % (1424365)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3614284002:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 20.28/8.74 % (1424366)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3255935206:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 20.28/8.74 % (1424367)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1510742066:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 20.28/8.74 % (1424367)Instruction limit reached!
% 20.28/8.74 % (1424367)------------------------------
% 20.28/8.74 % (1424367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.28/8.74 % (1424367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.28/8.74 % (1424367)CaDiCaL version: 2.1.3
% 20.28/8.74 % (1424367)Termination reason: Instruction limit
% 20.28/8.74 % (1424367)Termination phase: Saturation
% 20.28/8.74 % (1424367)Time elapsed: 0.128 s
% 20.28/8.74 % (1424367)Peak memory usage: 91 MB
% 20.28/8.74 % (1424367)Instructions burned: 215 (million)
% 20.28/8.74 % (1424371)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=1607986351:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 20.28/8.74 % (1424357)Instruction limit reached!
% 20.28/8.74 % (1424357)------------------------------
% 20.28/8.74 % (1424357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.28/8.74 % (1424357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.28/8.74 % (1424357)CaDiCaL version: 2.1.3
% 20.28/8.74 % (1424357)Termination reason: Instruction limit
% 20.28/8.74 % (1424357)Termination phase: Saturation
% 20.28/8.74 % (1424357)Time elapsed: 0.613 s
% 20.28/8.74 % (1424357)Peak memory usage: 98 MB
% 20.28/8.74 % (1424357)Instructions burned: 1188 (million)
% 20.28/8.74 % (1424371)Instruction limit reached!
% 20.28/8.74 % (1424371)------------------------------
% 20.28/8.74 % (1424371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.28/8.74 % (1424371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.28/8.74 % (1424371)CaDiCaL version: 2.1.3
% 20.28/8.74 % (1424371)Termination reason: Instruction limit
% 20.28/8.74 % (1424371)Termination phase: Saturation
% 20.28/8.74 % (1424371)Time elapsed: 0.170 s
% 20.28/8.74 % (1424371)Peak memory usage: 92 MB
% 20.28/8.74 % (1424371)Instructions burned: 319 (million)
% 20.28/8.74 % (1424373)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=1587788312:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 20.28/8.74 % (1424374)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1273873713:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 20.28/8.74 % (1424365)Instruction limit reached!
% 20.28/8.74 % (1424365)------------------------------
% 20.28/8.74 % (1424365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.28/8.74 % (1424365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.28/8.74 % (1424365)CaDiCaL version: 2.1.3
% 20.28/8.74 % (1424365)Termination reason: Instruction limit
% 20.28/8.74 % (1424365)Termination phase: Saturation
% 20.28/8.74 % (1424365)Time elapsed: 1.236 s
% 20.28/8.74 % (1424365)Peak memory usage: 140 MB
% 20.28/8.74 % (1424365)Instructions burned: 2052 (million)
% 20.28/8.74 % (1424377)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3996424752:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2983 on theBenchmark for (2983ds/14534Mi)
% 20.28/8.74 % (1424373)First to succeed.
% 20.28/8.74 % (1424373)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1424346"
% 20.28/8.74 % (1424366)Also succeeded, but the first one will report.
% 20.28/8.74 % (1424373)Refutation found. Thanks to Tanya!
% 20.28/8.74 % SZS status Unsatisfiable for theBenchmark
% 20.28/8.74 % SZS output start Proof for theBenchmark
% See solution above
% 20.75/8.94 % (1424373)------------------------------
% 20.75/8.94 % (1424373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.75/8.94 % (1424373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.75/8.94 % (1424373)CaDiCaL version: 2.1.3
% 20.75/8.94 % (1424373)Termination reason: Refutation
% 20.75/8.94 % (1424373)Time elapsed: 1.611 s
% 20.75/8.94 % (1424373)Peak memory usage: 148 MB
% 20.75/8.94 % (1424373)Instructions burned: 2810 (million)
% 20.75/8.94 % (1424373)------------------------------
% 20.75/8.94 % (1424373)------------------------------
% 20.75/8.94 % (1424346)Success in time 2.844 s
% 20.75/8.94 % Vampire exiting
%------------------------------------------------------------------------------