%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP772-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 10:16:10 AM UTC 2026
% Result : Unsatisfiable 52.61s 8.43s
% Output : Refutation 52.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 51 ( 51 unt; 0 def)
% Number of atoms : 51 ( 50 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 : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 135 ( 135 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos01) ).
fof(f2,axiom,
! [X0] : product(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos02) ).
fof(f3,axiom,
! [X0,X1] : product(X0,difference(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos03) ).
fof(f4,axiom,
! [X0,X1] : difference(X0,product(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos04) ).
fof(f5,axiom,
! [X0,X1] : quotient(product(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos05) ).
fof(f6,axiom,
! [X0,X1] : product(quotient(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos06) ).
fof(f7,axiom,
! [X2,X0,X1] : difference(X0,product(product(X0,X1),X2)) = quotient(product(X1,product(X2,X0)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos07) ).
fof(f9,axiom,
! [X0] : i(X0) = difference(X0,one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos09) ).
fof(f10,axiom,
! [X0] : j(X0) = quotient(one,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos10) ).
fof(f11,axiom,
! [X0] : product(i(X0),X0) = product(X0,j(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos11) ).
fof(f30,axiom,
! [X2,X3,X0,X1,X4] : product(a(X0,X1,X2),product(X3,X4)) = product(product(a(X0,X1,X2),X3),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos27) ).
fof(f32,axiom,
! [X2,X0,X1] : product(a(X0,X1,X2),difference(X2,product(a(X2,X0,X1),X2))) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos29) ).
fof(f33,plain,
! [X2,X0,X1] : one = product(a(X0,X1,X2),difference(X2,product(a(X2,X0,X1),X2))),
inference(reorient_equations,[],[f32]) ).
fof(f34,axiom,
! [X2,X0,X1] : a(X0,i(X1),X2) = a(X0,j(X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos30) ).
fof(f35,axiom,
! [X2,X0,X1] : a(i(X0),X1,X2) = a(j(X0),X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos31) ).
fof(f36,axiom,
! [X2,X0,X1] : a(j(X0),X1,X2) = a(X1,X2,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos32) ).
fof(f37,negated_conjecture,
a(x0,x1,x1) != a(x1,x1,x0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f39,plain,
! [X2,X0,X1] : a(X1,X2,X0) = a(quotient(one,X0),X1,X2),
inference(definition_unfolding,[],[f36,f10]) ).
fof(f40,plain,
! [X2,X0,X1] : a(quotient(one,X0),X1,X2) = a(difference(X0,one),X1,X2),
inference(definition_unfolding,[],[f35,f9,f10]) ).
fof(f41,plain,
! [X2,X0,X1] : a(X0,difference(X1,one),X2) = a(X0,quotient(one,X1),X2),
inference(definition_unfolding,[],[f34,f9,f10]) ).
fof(f46,plain,
! [X0] : product(difference(X0,one),X0) = product(X0,quotient(one,X0)),
inference(definition_unfolding,[],[f11,f9,f10]) ).
fof(f60,plain,
! [X2,X0,X1] : a(X1,X2,X0) = a(difference(X0,one),X1,X2),
inference(backward_demodulation,[],[f40,f39]) ).
fof(f156,plain,
! [X0] : quotient(X0,one) = X0,
inference(superposition,[],[f5,f1]) ).
fof(f157,plain,
! [X0,X1] : quotient(X0,difference(X1,X0)) = X1,
inference(superposition,[],[f5,f3]) ).
fof(f158,plain,
! [X0] : one = quotient(X0,X0),
inference(superposition,[],[f5,f2]) ).
fof(f166,plain,
! [X2,X0,X1] : a(X0,X1,X2) = a(X1,X2,difference(X0,one)),
inference(superposition,[],[f39,f157]) ).
fof(f194,plain,
! [X2,X0,X1] : difference(X2,product(a(X2,X0,X1),X2)) = difference(a(X0,X1,X2),one),
inference(superposition,[],[f4,f33]) ).
fof(f217,plain,
! [X2,X0,X1] : product(a(X2,X0,X1),X2) = product(X2,difference(a(X0,X1,X2),one)),
inference(superposition,[],[f3,f194]) ).
fof(f322,plain,
! [X2,X0,X1] : a(X0,difference(X1,one),difference(X2,one)) = a(X2,X0,quotient(one,X1)),
inference(superposition,[],[f166,f41]) ).
fof(f329,plain,
! [X2,X0,X1] : a(X2,X0,quotient(one,X1)) = a(X2,X0,difference(X1,one)),
inference(forward_demodulation,[],[f322,f166]) ).
fof(f337,plain,
! [X2,X0,X1] : a(X1,X2,X0) = a(X2,X0,quotient(one,X1)),
inference(forward_demodulation,[],[f329,f166]) ).
fof(f397,plain,
! [X2,X0,X1] : difference(X1,product(product(X1,X2),quotient(X0,X1))) = quotient(product(X2,X0),X1),
inference(superposition,[],[f7,f6]) ).
fof(f3497,plain,
! [X2,X3,X0,X1,X4] : quotient(product(X3,X4),a(X0,X1,X2)) = difference(a(X0,X1,X2),product(a(X0,X1,X2),product(X3,quotient(X4,a(X0,X1,X2))))),
inference(superposition,[],[f397,f30]) ).
fof(f3524,plain,
! [X2,X3,X0,X1,X4] : product(X3,quotient(X4,a(X0,X1,X2))) = quotient(product(X3,X4),a(X0,X1,X2)),
inference(forward_demodulation,[],[f3497,f4]) ).
fof(f3591,plain,
! [X2,X3,X0,X1] : quotient(X0,a(X1,X2,X3)) = product(X0,quotient(one,a(X1,X2,X3))),
inference(superposition,[],[f3524,f1]) ).
fof(f3607,plain,
! [X2,X3,X0,X1,X4] : quotient(X0,a(X2,X3,X4)) = product(quotient(X0,X1),quotient(X1,a(X2,X3,X4))),
inference(superposition,[],[f3524,f6]) ).
fof(f4089,plain,
! [X2,X3,X0,X1,X4] : quotient(X1,a(X2,X3,X4)) = product(quotient(X1,product(X0,a(X2,X3,X4))),X0),
inference(superposition,[],[f3607,f5]) ).
fof(f4343,plain,
! [X2,X3,X0,X1] : quotient(X3,a(X0,X1,X2)) = product(quotient(X3,product(a(X0,X1,X2),quotient(one,a(X0,X1,X2)))),difference(a(X0,X1,X2),one)),
inference(superposition,[],[f4089,f46]) ).
fof(f4414,plain,
! [X2,X3,X0,X1] : quotient(X3,a(X0,X1,X2)) = product(quotient(X3,quotient(a(X0,X1,X2),a(X0,X1,X2))),difference(a(X0,X1,X2),one)),
inference(forward_demodulation,[],[f4343,f3591]) ).
fof(f4433,plain,
! [X2,X3,X0,X1] : quotient(X3,a(X0,X1,X2)) = product(quotient(X3,one),difference(a(X0,X1,X2),one)),
inference(forward_demodulation,[],[f4414,f158]) ).
fof(f4445,plain,
! [X2,X3,X0,X1] : product(X3,difference(a(X0,X1,X2),one)) = quotient(X3,a(X0,X1,X2)),
inference(forward_demodulation,[],[f4433,f156]) ).
fof(f4447,plain,
! [X2,X0,X1] : product(a(X2,X0,X1),X2) = quotient(X2,a(X0,X1,X2)),
inference(backward_demodulation,[],[f217,f4445]) ).
fof(f4501,plain,
! [X2,X0,X1] : product(a(X1,difference(X2,one),X0),X1) = quotient(X1,a(X0,X1,X2)),
inference(superposition,[],[f4447,f60]) ).
fof(f27049,plain,
! [X2,X0,X1] : product(a(X0,X1,difference(X2,one)),X1) = quotient(X1,a(quotient(one,X0),X1,X2)),
inference(superposition,[],[f4501,f337]) ).
fof(f27217,plain,
! [X2,X0,X1] : product(a(X0,X1,difference(X2,one)),X1) = quotient(X1,a(X1,X2,X0)),
inference(forward_demodulation,[],[f27049,f39]) ).
fof(f27313,plain,
! [X2,X0,X1] : product(a(X2,X0,X1),X1) = quotient(X1,a(X1,X2,X0)),
inference(forward_demodulation,[],[f27217,f166]) ).
fof(f27620,plain,
! [X0,X1] : product(a(X0,X1,X1),X1) = product(a(X1,X1,X0),X1),
inference(superposition,[],[f4447,f27313]) ).
fof(f27994,plain,
! [X0,X1] : a(X1,X1,X0) = quotient(product(a(X0,X1,X1),X1),X1),
inference(superposition,[],[f5,f27620]) ).
fof(f28109,plain,
! [X0,X1] : a(X0,X1,X1) = a(X1,X1,X0),
inference(forward_demodulation,[],[f27994,f5]) ).
fof(f28962,plain,
a(x1,x1,x0) != a(x1,x1,x0),
inference(superposition,[],[f37,f28109]) ).
fof(f29051,plain,
$false,
inference(trivial_inequality_removal,[],[f28962]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP772-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:44:01 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 46.74/8.23 % (774962)Detected a unit-equality problem, will run specialized UEQ schedule.
% 46.74/8.23 % (774990)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1432261092:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 46.74/8.23 % (774987)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=719627140:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 46.74/8.23 % (774985)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=1673226436:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 46.74/8.23 % (774986)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=3804019004:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 46.74/8.23 % (774988)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2867192987:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 46.74/8.23 % (774989)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4224546261:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 46.74/8.23 % (774991)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3679320855:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 46.74/8.23 % (774988)Instruction limit reached!
% 46.74/8.23 % (774988)------------------------------
% 46.74/8.23 % (774988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.74/8.23 % (774988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.74/8.23 % (774988)CaDiCaL version: 2.1.3
% 46.74/8.23 % (774988)Termination reason: Instruction limit
% 46.74/8.23 % (774988)Termination phase: Saturation
% 46.74/8.23 % (774988)Time elapsed: 0.141 s
% 46.74/8.23 % (774988)Peak memory usage: 89 MB
% 46.74/8.23 % (774988)Instructions burned: 137 (million)
% 46.74/8.23 % (774990)Instruction limit reached!
% 46.74/8.23 % (774990)------------------------------
% 46.74/8.23 % (774990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.74/8.23 % (774990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.74/8.23 % (774990)CaDiCaL version: 2.1.3
% 46.74/8.23 % (774990)Termination reason: Instruction limit
% 46.74/8.23 % (774990)Termination phase: Saturation
% 46.74/8.23 % (774990)Time elapsed: 0.149 s
% 46.74/8.23 % (774990)Peak memory usage: 90 MB
% 46.74/8.23 % (774990)Instructions burned: 258 (million)
% 46.74/8.23 % (774989)Instruction limit reached!
% 46.74/8.23 % (774989)------------------------------
% 46.74/8.23 % (774989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.74/8.23 % (774989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.74/8.23 % (774989)CaDiCaL version: 2.1.3
% 46.74/8.23 % (774989)Termination reason: Instruction limit
% 46.74/8.23 % (774989)Termination phase: Saturation
% 46.74/8.23 % (774989)Time elapsed: 0.179 s
% 46.74/8.23 % (774989)Peak memory usage: 89 MB
% 46.74/8.23 % (774989)Instructions burned: 181 (million)
% 46.74/8.23 % (774999)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1432160938:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 46.74/8.23 % (775000)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3108717671:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 46.74/8.23 % (775001)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2196978458:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 46.74/8.23 % (775001)Instruction limit reached!
% 46.74/8.23 % (775001)------------------------------
% 46.74/8.23 % (775001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.74/8.23 % (775001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.74/8.23 % (775001)CaDiCaL version: 2.1.3
% 46.74/8.23 % (775001)Termination reason: Instruction limit
% 46.74/8.23 % (775001)Termination phase: Saturation
% 46.74/8.23 % (775001)Time elapsed: 0.205 s
% 46.74/8.23 % (775001)Peak memory usage: 90 MB
% 46.74/8.23 % (775001)Instructions burned: 215 (million)
% 52.61/8.43 % (775005)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=2182678574:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 52.61/8.43 % (774991)Instruction limit reached!
% 52.61/8.43 % (774991)------------------------------
% 52.61/8.43 % (774991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.61/8.43 % (774991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.61/8.43 % (774991)CaDiCaL version: 2.1.3
% 52.61/8.43 % (774991)Termination reason: Instruction limit
% 52.61/8.43 % (774991)Termination phase: Saturation
% 52.61/8.43 % (774991)Time elapsed: 1.129 s
% 52.61/8.43 % (774991)Peak memory usage: 100 MB
% 52.61/8.43 % (774991)Instructions burned: 1187 (million)
% 52.61/8.43 % (775005)Instruction limit reached!
% 52.61/8.43 % (775005)------------------------------
% 52.61/8.43 % (775005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.61/8.43 % (775005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.61/8.43 % (775005)CaDiCaL version: 2.1.3
% 52.61/8.43 % (775005)Termination reason: Instruction limit
% 52.61/8.43 % (775005)Termination phase: Saturation
% 52.61/8.43 % (775005)Time elapsed: 0.253 s
% 52.61/8.43 % (775005)Peak memory usage: 89 MB
% 52.61/8.43 % (775005)Instructions burned: 317 (million)
% 52.61/8.43 % (775007)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=718081549:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/12125Mi)
% 52.61/8.43 % (775008)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=294834726:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2985 on theBenchmark for (2985ds/2836Mi)
% 52.61/8.43 % (774999)Instruction limit reached!
% 52.61/8.43 % (774999)------------------------------
% 52.61/8.43 % (774999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.61/8.43 % (774999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.61/8.43 % (774999)CaDiCaL version: 2.1.3
% 52.61/8.43 % (774999)Termination reason: Instruction limit
% 52.61/8.43 % (774999)Termination phase: Saturation
% 52.61/8.43 % (774999)Time elapsed: 1.221 s
% 52.61/8.43 % (774999)Peak memory usage: 141 MB
% 52.61/8.43 % (774999)Instructions burned: 2052 (million)
% 52.61/8.43 % (775011)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=183755175:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2981 on theBenchmark for (2981ds/14534Mi)
% 52.61/8.43 % (775008)Instruction limit reached!
% 52.61/8.43 % (775008)------------------------------
% 52.61/8.43 % (775008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.61/8.43 % (775008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.61/8.43 % (775008)CaDiCaL version: 2.1.3
% 52.61/8.43 % (775008)Termination reason: Instruction limit
% 52.61/8.43 % (775008)Termination phase: Saturation
% 52.61/8.43 % (775008)Time elapsed: 3.255 s
% 52.61/8.43 % (775008)Peak memory usage: 129 MB
% 52.61/8.43 % (775008)Instructions burned: 2836 (million)
% 52.61/8.43 % (775013)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1499687242:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2949 on theBenchmark for (2949ds/11832Mi)
% 52.61/8.43 % (775000)Instruction limit reached!
% 52.61/8.43 % (775000)------------------------------
% 52.61/8.43 % (775000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.61/8.43 % (775000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.61/8.43 % (775000)CaDiCaL version: 2.1.3
% 52.61/8.43 % (775000)Termination reason: Instruction limit
% 52.61/8.43 % (775000)Termination phase: Saturation
% 52.61/8.43 % (775000)Time elapsed: 5.136 s
% 52.61/8.43 % (775000)Peak memory usage: 169 MB
% 52.61/8.43 % (775000)Instructions burned: 4948 (million)
% 52.61/8.43 % (775015)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=3064468667:i=2279:fgj=on:bd=all_2941 on theBenchmark for (2941ds/2279Mi)
% 52.61/8.43 % (775011)First to succeed.
% 52.61/8.43 % (775011)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-774962"
% 52.61/8.43 % (775011)Refutation found. Thanks to Tanya!
% 52.61/8.43 % SZS status Unsatisfiable for theBenchmark
% 52.61/8.43 % SZS output start Proof for theBenchmark
% See solution above
% 52.61/8.43 % (775011)------------------------------
% 52.61/8.43 % (775011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.61/8.43 % (775011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.61/8.43 % (775011)CaDiCaL version: 2.1.3
% 52.61/8.43 % (775011)Termination reason: Refutation
% 52.61/8.43 % (775011)Time elapsed: 4.851 s
% 52.61/8.43 % (775011)Peak memory usage: 166 MB
% 52.61/8.43 % (775011)Instructions burned: 4883 (million)
% 52.61/8.43 % (775011)------------------------------
% 52.61/8.43 % (775011)------------------------------
% 52.61/8.43 % (774962)Success in time 7.314 s
% 52.61/8.43 % Vampire exiting
%------------------------------------------------------------------------------