%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP417-1 : 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 : 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 10:13:57 AM UTC 2026
% Result : Unsatisfiable 9.53s 4.32s
% Output : Refutation 24.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 2
% Syntax : Number of formulae : 46 ( 46 unt; 0 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 135 ( 135 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(X0)))),inverse(multiply(inverse(X3),X3))))) = inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))),inverse(multiply(inverse(X1),X1)))))),
inference(superposition,[],[f1,f1]) ).
fof(f24,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))))))) = X2,
inference(superposition,[],[f1,f4]) ).
fof(f27,plain,
! [X2,X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(inverse(X2))))),inverse(multiply(inverse(X0),X0))))) = X2,
inference(superposition,[],[f1,f4]) ).
fof(f66,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(inverse(X0))))),inverse(multiply(inverse(X2),X2))) = inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),X0)),inverse(multiply(inverse(X1),X1)))))),
inference(superposition,[],[f1,f27]) ).
fof(f114,plain,
! [X2,X0,X1] : multiply(X1,inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0)))))))) = X2,
inference(superposition,[],[f27,f66]) ).
fof(f116,plain,
! [X2,X0,X1] : inverse(X2) = inverse(multiply(X1,inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0))))))))),
inference(superposition,[],[f1,f66]) ).
fof(f128,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(X2))))))),inverse(multiply(inverse(X1),X1))) = X2,
inference(superposition,[],[f1,f66]) ).
fof(f225,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),X3) = multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,inverse(X0))))))))),multiply(X1,inverse(inverse(X0))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,inverse(X0)))))))),inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,inverse(X0)))))))))),
inference(superposition,[],[f128,f128]) ).
fof(f252,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,inverse(X0))))))))),multiply(X1,inverse(inverse(X4))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,inverse(X0)))))))),inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(inverse(multiply(X3,inverse(X0)))))))))) = inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(multiply(inverse(X0),X4)),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3)))))))),
inference(superposition,[],[f66,f128]) ).
fof(f258,plain,
! [X3,X0] : multiply(inverse(X3),X3) = inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3)))))))),
inference(forward_demodulation,[],[f225,f252]) ).
fof(f431,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2)))))))) = inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X0)),inverse(multiply(inverse(X3),X3))))))),
inference(superposition,[],[f114,f116]) ).
fof(f1585,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1))))))))) = X2,
inference(superposition,[],[f114,f431]) ).
fof(f1730,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X0)))),multiply(X1,inverse(multiply(inverse(X0),X0)))),
inference(superposition,[],[f1585,f258]) ).
fof(f1732,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X0)) = multiply(inverse(multiply(X3,X2)),multiply(X3,X0)),
inference(superposition,[],[f1585,f24]) ).
fof(f1851,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X0)))),inverse(multiply(inverse(X3),X3)))))),multiply(X1,X4)) = multiply(X0,multiply(X3,X4)),
inference(superposition,[],[f1732,f1]) ).
fof(f2276,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f1730,f1730]) ).
fof(f2636,plain,
! [X0,X1] : inverse(multiply(inverse(X1),inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(X1)),inverse(X1))))))) = X1,
inference(superposition,[],[f1,f2276]) ).
fof(f2643,plain,
! [X0,X1] : inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1))))))) = X1,
inference(superposition,[],[f24,f2276]) ).
fof(f2648,plain,
! [X2,X0,X1] : multiply(inverse(X1),X1) = inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X0),X0)))))),
inference(superposition,[],[f258,f2276]) ).
fof(f2866,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X1),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X0),X0)))))) = X1,
inference(superposition,[],[f2636,f2276]) ).
fof(f3037,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1)))))))) = X2,
inference(superposition,[],[f2866,f2866]) ).
fof(f3089,plain,
! [X2,X3,X0] : multiply(X2,multiply(inverse(X2),X3)) = multiply(X0,multiply(inverse(X0),X3)),
inference(superposition,[],[f1851,f2866]) ).
fof(f3203,plain,
! [X2,X3] : inverse(multiply(inverse(X2),multiply(inverse(X3),X3))) = X2,
inference(forward_demodulation,[],[f3037,f2648]) ).
fof(f3450,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(superposition,[],[f3203,f2276]) ).
fof(f3740,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X3))))),multiply(inverse(X0),X0)))) = X3,
inference(superposition,[],[f27,f3450]) ).
fof(f3761,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X0),X0)))))) = X1,
inference(superposition,[],[f2643,f3450]) ).
fof(f3898,plain,
! [X0,X1] : inverse(multiply(inverse(X1),inverse(multiply(inverse(X0),X0)))) = X1,
inference(superposition,[],[f3203,f3450]) ).
fof(f4102,plain,
! [X2,X1] : inverse(inverse(multiply(X1,multiply(inverse(X2),X2)))) = X1,
inference(forward_demodulation,[],[f3761,f3203]) ).
fof(f4119,plain,
! [X2,X3,X1] : multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X3))))) = X3,
inference(forward_demodulation,[],[f3740,f3203]) ).
fof(f4257,plain,
! [X0,X1] : inverse(inverse(multiply(X0,multiply(inverse(X0),X1)))) = X1,
inference(superposition,[],[f4102,f3089]) ).
fof(f4755,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0)))),inverse(multiply(inverse(X1),X1))))),multiply(X0,X3)))) = X3,
inference(superposition,[],[f4257,f1]) ).
fof(f4780,plain,
! [X2,X0,X1] : multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2)))))))) = inverse(inverse(multiply(multiply(X1,X2),X0))),
inference(superposition,[],[f4257,f1585]) ).
fof(f4905,plain,
! [X2,X0,X1] : multiply(X1,inverse(inverse(multiply(X2,X0)))) = inverse(inverse(multiply(multiply(X1,X2),X0))),
inference(forward_demodulation,[],[f4780,f3898]) ).
fof(f4924,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0)))),multiply(X0,X3)))) = X3,
inference(forward_demodulation,[],[f4755,f3898]) ).
fof(f4959,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(inverse(multiply(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))),multiply(X0,X3))))) = X3,
inference(forward_demodulation,[],[f4924,f4905]) ).
fof(f4973,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(inverse(multiply(X2,X1)),inverse(inverse(multiply(multiply(X2,inverse(X0)),multiply(X0,X3)))))) = X3,
inference(forward_demodulation,[],[f4959,f4905]) ).
fof(f4983,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(multiply(inverse(X0),multiply(X0,X3))))))) = X3,
inference(forward_demodulation,[],[f4973,f4905]) ).
fof(f4985,plain,
! [X3,X0] : multiply(inverse(X0),multiply(X0,X3)) = X3,
inference(forward_demodulation,[],[f4983,f4119]) ).
fof(f5032,plain,
! [X0,X1] : multiply(X1,X0) = inverse(inverse(multiply(X1,X0))),
inference(superposition,[],[f4257,f4985]) ).
fof(f5037,plain,
! [X2,X0,X1] : multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2)))))))) = multiply(multiply(X1,X2),X0),
inference(superposition,[],[f114,f4985]) ).
fof(f5114,plain,
! [X2,X0,X1] : multiply(X1,inverse(inverse(multiply(X2,X0)))) = multiply(multiply(X1,X2),X0),
inference(forward_demodulation,[],[f5037,f3898]) ).
fof(f5186,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[],[f5114,f5032]) ).
fof(f5459,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2,f5186]) ).
fof(f5537,plain,
$false,
inference(trivial_inequality_removal,[],[f5459]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP417-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:03:49 UTC 2026
% 0.04/0.37 % CPUTime :
% 0.04/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.41 Running first-order theorem proving
% 0.04/0.41 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
% 9.53/4.32 % (2852343)Detected a unit-equality problem, will run specialized UEQ schedule.
% 9.53/4.32 % (2852358)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=3349778045:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 9.53/4.32 % (2852359)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=596845885:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 9.53/4.32 % (2852361)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1494114604:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 9.53/4.32 % (2852362)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1949615022:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 9.53/4.32 % (2852363)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=818635915:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 9.53/4.32 % (2852364)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1745181583:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 9.53/4.32 % (2852365)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=844365185:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 9.53/4.32 % (2852362)Instruction limit reached!
% 9.53/4.32 % (2852362)------------------------------
% 9.53/4.32 % (2852362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/4.32 % (2852362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/4.32 % (2852362)CaDiCaL version: 2.1.3
% 9.53/4.32 % (2852362)Termination reason: Instruction limit
% 9.53/4.32 % (2852362)Termination phase: Saturation
% 9.53/4.32 % (2852362)Time elapsed: 0.116 s
% 9.53/4.32 % (2852362)Peak memory usage: 89 MB
% 9.53/4.32 % (2852362)Instructions burned: 136 (million)
% 9.53/4.32 % (2852363)Instruction limit reached!
% 9.53/4.32 % (2852363)------------------------------
% 9.53/4.32 % (2852363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/4.32 % (2852363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/4.32 % (2852363)CaDiCaL version: 2.1.3
% 9.53/4.32 % (2852363)Termination reason: Instruction limit
% 9.53/4.32 % (2852363)Termination phase: Saturation
% 9.53/4.32 % (2852363)Time elapsed: 0.155 s
% 9.53/4.32 % (2852363)Peak memory usage: 89 MB
% 9.53/4.32 % (2852363)Instructions burned: 182 (million)
% 9.53/4.32 % (2852364)Instruction limit reached!
% 9.53/4.32 % (2852364)------------------------------
% 9.53/4.32 % (2852364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/4.32 % (2852364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/4.32 % (2852364)CaDiCaL version: 2.1.3
% 9.53/4.32 % (2852364)Termination reason: Instruction limit
% 9.53/4.32 % (2852364)Termination phase: Saturation
% 9.53/4.32 % (2852364)Time elapsed: 0.233 s
% 9.53/4.32 % (2852364)Peak memory usage: 91 MB
% 9.53/4.32 % (2852364)Instructions burned: 257 (million)
% 9.53/4.32 % (2852378)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=849708551:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 9.53/4.32 % (2852379)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=762925259:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 9.53/4.32 % (2852381)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3786686265:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 9.53/4.32 % (2852381)Instruction limit reached!
% 9.53/4.32 % (2852381)------------------------------
% 9.53/4.32 % (2852381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/4.32 % (2852381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/4.32 % (2852381)CaDiCaL version: 2.1.3
% 9.53/4.32 % (2852381)Termination reason: Instruction limit
% 9.53/4.32 % (2852381)Termination phase: Saturation
% 9.53/4.32 % (2852381)Time elapsed: 0.202 s
% 9.53/4.32 % (2852381)Peak memory usage: 91 MB
% 9.53/4.32 % (2852381)Instructions burned: 216 (million)
% 9.53/4.32 % (2852386)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=504000034: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)
% 9.53/4.32 % (2852365)Instruction limit reached!
% 9.53/4.32 % (2852365)------------------------------
% 9.53/4.32 % (2852365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/4.32 % (2852365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/4.32 % (2852365)CaDiCaL version: 2.1.3
% 9.53/4.32 % (2852365)Termination reason: Instruction limit
% 9.53/4.32 % (2852365)Termination phase: Saturation
% 9.53/4.32 % (2852365)Time elapsed: 0.994 s
% 9.53/4.32 % (2852365)Peak memory usage: 95 MB
% 9.53/4.32 % (2852365)Instructions burned: 1187 (million)
% 9.53/4.32 % (2852386)Instruction limit reached!
% 9.53/4.32 % (2852386)------------------------------
% 9.53/4.32 % (2852386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/4.32 % (2852386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/4.32 % (2852386)CaDiCaL version: 2.1.3
% 9.53/4.32 % (2852386)Termination reason: Instruction limit
% 9.53/4.32 % (2852386)Termination phase: Saturation
% 9.53/4.32 % (2852386)Time elapsed: 0.281 s
% 9.53/4.32 % (2852386)Peak memory usage: 91 MB
% 9.53/4.32 % (2852386)Instructions burned: 317 (million)
% 9.53/4.32 % (2852388)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=2613194744:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/12125Mi)
% 9.53/4.32 % (2852389)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=751960993:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2986 on theBenchmark for (2986ds/2836Mi)
% 9.53/4.32 % (2852378)Instruction limit reached!
% 9.53/4.32 % (2852378)------------------------------
% 9.53/4.32 % (2852378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/4.32 % (2852378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/4.32 % (2852378)CaDiCaL version: 2.1.3
% 9.53/4.32 % (2852378)Termination reason: Instruction limit
% 9.53/4.32 % (2852378)Termination phase: Saturation
% 9.53/4.32 % (2852378)Time elapsed: 1.960 s
% 9.53/4.32 % (2852378)Peak memory usage: 140 MB
% 9.53/4.32 % (2852378)Instructions burned: 2051 (million)
% 9.53/4.32 % (2852396)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3400675683:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2975 on theBenchmark for (2975ds/14534Mi)
% 9.53/4.32 % (2852359)First to succeed.
% 9.53/4.32 % (2852359)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2852343"
% 9.53/4.32 % (2852359)Refutation found. Thanks to Tanya!
% 9.53/4.32 % SZS status Unsatisfiable for theBenchmark
% 9.53/4.32 % SZS output start Proof for theBenchmark
% See solution above
% 24.28/4.66 % (2852359)------------------------------
% 24.28/4.66 % (2852359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.28/4.66 % (2852359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.28/4.66 % (2852359)CaDiCaL version: 2.1.3
% 24.28/4.66 % (2852359)Termination reason: Refutation
% 24.28/4.66 % (2852359)Time elapsed: 2.721 s
% 24.28/4.66 % (2852359)Peak memory usage: 149 MB
% 24.28/4.66 % (2852359)Instructions burned: 2886 (million)
% 24.28/4.66 % (2852359)------------------------------
% 24.28/4.66 % (2852359)------------------------------
% 24.28/4.66 % (2852343)Success in time 3.32 s
% 24.28/4.66 % Vampire exiting
%------------------------------------------------------------------------------