%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP767-1 : 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 : n002.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 10:16:09 AM UTC 2026
% Result : Unsatisfiable 53.19s 8.63s
% Output : Refutation 53.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 44 unt; 0 def)
% Number of atoms : 44 ( 43 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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; 0-2 aty)
% Number of variables : 84 ( 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f12,axiom,
! [X0] : eta(X0) = product(i(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos12) ).
fof(f13,plain,
! [X0] : product(i(X0),X0) = eta(X0),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X0,X1] : product(i(i(X0)),X1) = product(eta(X0),product(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos13) ).
fof(f15,axiom,
! [X0,X1] : product(X0,product(eta(X0),X1)) = product(j(j(X0)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos14) ).
fof(f17,axiom,
! [X2,X0,X1] : product(eta(X0),product(X1,X2)) = product(product(eta(X0),X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos16) ).
fof(f23,negated_conjecture,
product(j(j(x0)),j(product(x1,x0))) != j(x1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f24,plain,
! [X0] : eta(X0) = product(difference(X0,one),X0),
inference(definition_unfolding,[],[f13,f9]) ).
fof(f25,plain,
! [X0] : product(difference(X0,one),X0) = product(X0,quotient(one,X0)),
inference(definition_unfolding,[],[f11,f9,f10]) ).
fof(f26,plain,
! [X0,X1] : product(difference(difference(X0,one),one),X1) = product(product(difference(X0,one),X0),product(X0,X1)),
inference(definition_unfolding,[],[f14,f9,f9,f24]) ).
fof(f27,plain,
! [X0,X1] : product(X0,product(product(difference(X0,one),X0),X1)) = product(quotient(one,quotient(one,X0)),X1),
inference(definition_unfolding,[],[f15,f24,f10,f10]) ).
fof(f29,plain,
! [X2,X0,X1] : product(product(difference(X0,one),X0),product(X1,X2)) = product(product(product(difference(X0,one),X0),X1),X2),
inference(definition_unfolding,[],[f17,f24,f24]) ).
fof(f32,plain,
product(quotient(one,quotient(one,x0)),quotient(one,product(x1,x0))) != quotient(one,x1),
inference(definition_unfolding,[],[f23,f10,f10,f10,f10]) ).
fof(f99,plain,
! [X0,X1] : difference(quotient(X0,X1),X0) = X1,
inference(superposition,[],[f4,f6]) ).
fof(f101,plain,
! [X2,X0,X1] : quotient(product(X2,X0),X1) = difference(X1,product(product(X1,X2),quotient(X0,X1))),
inference(superposition,[],[f7,f6]) ).
fof(f115,plain,
! [X2,X0,X1] : product(product(X2,X0),quotient(X1,X2)) = product(X2,quotient(product(X0,X1),X2)),
inference(superposition,[],[f3,f101]) ).
fof(f244,plain,
! [X0,X1] : product(difference(difference(X1,one),one),difference(X1,X0)) = product(product(difference(X1,one),X1),X0),
inference(superposition,[],[f26,f3]) ).
fof(f267,plain,
! [X0,X1] : product(difference(difference(X1,one),one),difference(X1,X0)) = product(product(X1,quotient(one,X1)),X0),
inference(forward_demodulation,[],[f244,f25]) ).
fof(f289,plain,
! [X0,X1] : quotient(X0,difference(X1,X0)) = X1,
inference(superposition,[],[f5,f3]) ).
fof(f290,plain,
! [X2,X0,X1] : product(X0,X1) = quotient(product(X0,quotient(product(X1,X2),X0)),quotient(X2,X0)),
inference(superposition,[],[f5,f115]) ).
fof(f344,plain,
! [X2,X0,X1] : product(X1,quotient(X0,X2)) = quotient(product(X1,quotient(X0,X1)),quotient(X2,X1)),
inference(superposition,[],[f290,f6]) ).
fof(f455,plain,
! [X2,X0,X1] : product(X1,quotient(product(X0,X1),X2)) = quotient(product(X1,X0),quotient(X2,X1)),
inference(superposition,[],[f344,f5]) ).
fof(f540,plain,
! [X2,X0,X1] : product(X1,quotient(product(difference(X1,X0),X1),X2)) = quotient(X0,quotient(X2,X1)),
inference(superposition,[],[f455,f3]) ).
fof(f2189,plain,
! [X0,X1] : product(quotient(one,quotient(one,X0)),X1) = product(X0,product(product(X0,quotient(one,X0)),X1)),
inference(superposition,[],[f27,f25]) ).
fof(f2361,plain,
! [X0,X1] : product(quotient(one,X0),X1) = product(difference(X0,one),product(product(difference(X0,one),X0),X1)),
inference(superposition,[],[f2189,f289]) ).
fof(f2438,plain,
! [X0,X1] : product(quotient(one,X0),X1) = product(difference(X0,one),product(product(X0,quotient(one,X0)),X1)),
inference(forward_demodulation,[],[f2361,f25]) ).
fof(f7472,plain,
! [X2,X0,X1] : product(product(difference(X0,one),X0),X1) = quotient(product(product(difference(X0,one),X0),product(X1,X2)),X2),
inference(superposition,[],[f5,f29]) ).
fof(f7646,plain,
! [X2,X0,X1] : product(product(difference(X0,one),X0),X1) = difference(X2,product(product(X2,product(difference(X0,one),X0)),X1)),
inference(forward_demodulation,[],[f7472,f7]) ).
fof(f7748,plain,
! [X2,X0,X1] : product(product(X0,quotient(one,X0)),X1) = difference(X2,product(product(X2,product(X0,quotient(one,X0))),X1)),
inference(forward_demodulation,[],[f7646,f25]) ).
fof(f8811,plain,
! [X2,X0,X1] : quotient(product(product(X0,quotient(one,X0)),X1),X2) = product(product(X0,quotient(one,X0)),quotient(X1,X2)),
inference(superposition,[],[f101,f7748]) ).
fof(f11075,plain,
! [X0,X1] : quotient(one,quotient(X1,difference(X0,one))) = product(difference(X0,one),quotient(product(product(X0,quotient(one,X0)),one),X1)),
inference(superposition,[],[f540,f267]) ).
fof(f11149,plain,
! [X0,X1] : quotient(one,quotient(X1,difference(X0,one))) = product(difference(X0,one),product(product(X0,quotient(one,X0)),quotient(one,X1))),
inference(forward_demodulation,[],[f11075,f8811]) ).
fof(f11192,plain,
! [X0,X1] : quotient(one,quotient(X1,difference(X0,one))) = product(quotient(one,X0),quotient(one,X1)),
inference(forward_demodulation,[],[f11149,f2438]) ).
fof(f25135,plain,
! [X0,X1] : quotient(one,quotient(X1,X0)) = product(quotient(one,quotient(one,X0)),quotient(one,X1)),
inference(superposition,[],[f11192,f99]) ).
fof(f46329,plain,
quotient(one,x1) != quotient(one,quotient(product(x1,x0),x0)),
inference(superposition,[],[f32,f25135]) ).
fof(f46609,plain,
quotient(one,x1) != quotient(one,x1),
inference(forward_demodulation,[],[f46329,f5]) ).
fof(f46610,plain,
$false,
inference(trivial_inequality_removal,[],[f46609]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP767-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.44 % Computer : n002.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.44 % CPULimit : 300
% 0.20/0.44 % WCLimit : 300
% 0.20/0.44 % DateTime : Sun Sep 27 10:45:21 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.49 Running first-order theorem proving
% 0.24/0.49 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
% 25.22/8.41 % (3353183)Detected a unit-equality problem, will run specialized UEQ schedule.
% 25.22/8.41 % (3353188)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=442667377:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 25.22/8.41 % (3353192)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=948639644:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 25.22/8.41 % (3353190)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=614304297:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 25.22/8.41 % (3353189)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=3447620919:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 25.22/8.41 % (3353191)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3658118068:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 25.22/8.41 % (3353193)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4031760167:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 25.22/8.41 % (3353194)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2814468082:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 25.22/8.41 % (3353192)Instruction limit reached!
% 25.22/8.41 % (3353192)------------------------------
% 25.22/8.41 % (3353192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.22/8.41 % (3353192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.22/8.41 % (3353192)CaDiCaL version: 2.1.3
% 25.22/8.41 % (3353192)Termination reason: Instruction limit
% 25.22/8.41 % (3353192)Termination phase: Saturation
% 25.22/8.41 % (3353192)Time elapsed: 0.136 s
% 25.22/8.41 % (3353192)Peak memory usage: 89 MB
% 25.22/8.41 % (3353192)Instructions burned: 182 (million)
% 25.22/8.41 % (3353191)Instruction limit reached!
% 25.22/8.41 % (3353191)------------------------------
% 25.22/8.41 % (3353191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.22/8.41 % (3353191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.22/8.41 % (3353191)CaDiCaL version: 2.1.3
% 25.22/8.41 % (3353191)Termination reason: Instruction limit
% 25.22/8.41 % (3353191)Termination phase: Saturation
% 25.22/8.41 % (3353191)Time elapsed: 0.139 s
% 25.22/8.41 % (3353191)Peak memory usage: 88 MB
% 25.22/8.41 % (3353191)Instructions burned: 136 (million)
% 25.22/8.41 % (3353193)Instruction limit reached!
% 25.22/8.41 % (3353193)------------------------------
% 25.22/8.41 % (3353193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.22/8.41 % (3353193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.22/8.41 % (3353193)CaDiCaL version: 2.1.3
% 25.22/8.41 % (3353193)Termination reason: Instruction limit
% 25.22/8.41 % (3353193)Termination phase: Saturation
% 25.22/8.41 % (3353193)Time elapsed: 0.225 s
% 25.22/8.41 % (3353193)Peak memory usage: 91 MB
% 25.22/8.41 % (3353193)Instructions burned: 258 (million)
% 25.22/8.41 % (3353202)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=4209011195:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 25.22/8.41 % (3353203)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1563582533:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 25.22/8.41 % (3353204)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3632994310:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 25.22/8.41 % (3353204)Instruction limit reached!
% 25.22/8.41 % (3353204)------------------------------
% 25.22/8.41 % (3353204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.22/8.41 % (3353204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.22/8.41 % (3353204)CaDiCaL version: 2.1.3
% 25.22/8.41 % (3353204)Termination reason: Instruction limit
% 25.22/8.41 % (3353204)Termination phase: Saturation
% 25.22/8.41 % (3353204)Time elapsed: 0.204 s
% 53.19/8.63 % (3353204)Peak memory usage: 90 MB
% 53.19/8.63 % (3353204)Instructions burned: 215 (million)
% 53.19/8.63 % (3353210)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=2354182496:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2989 on theBenchmark for (2989ds/317Mi)
% 53.19/8.63 % (3353194)Instruction limit reached!
% 53.19/8.63 % (3353194)------------------------------
% 53.19/8.63 % (3353194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.19/8.63 % (3353194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.19/8.63 % (3353194)CaDiCaL version: 2.1.3
% 53.19/8.63 % (3353194)Termination reason: Instruction limit
% 53.19/8.63 % (3353194)Termination phase: Saturation
% 53.19/8.63 % (3353194)Time elapsed: 1.119 s
% 53.19/8.63 % (3353194)Peak memory usage: 101 MB
% 53.19/8.63 % (3353194)Instructions burned: 1188 (million)
% 53.19/8.63 % (3353210)Instruction limit reached!
% 53.19/8.63 % (3353210)------------------------------
% 53.19/8.63 % (3353210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.19/8.63 % (3353210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.19/8.63 % (3353210)CaDiCaL version: 2.1.3
% 53.19/8.63 % (3353210)Termination reason: Instruction limit
% 53.19/8.63 % (3353210)Termination phase: Saturation
% 53.19/8.63 % (3353210)Time elapsed: 0.339 s
% 53.19/8.63 % (3353210)Peak memory usage: 94 MB
% 53.19/8.63 % (3353210)Instructions burned: 317 (million)
% 53.19/8.63 % (3353212)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=3779381725:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/12125Mi)
% 53.19/8.63 % (3353213)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2092589393:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2984 on theBenchmark for (2984ds/2836Mi)
% 53.19/8.63 % (3353202)Instruction limit reached!
% 53.19/8.63 % (3353202)------------------------------
% 53.19/8.63 % (3353202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.19/8.63 % (3353202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.19/8.63 % (3353202)CaDiCaL version: 2.1.3
% 53.19/8.63 % (3353202)Termination reason: Instruction limit
% 53.19/8.63 % (3353202)Termination phase: Saturation
% 53.19/8.63 % (3353202)Time elapsed: 2.256 s
% 53.19/8.63 % (3353202)Peak memory usage: 140 MB
% 53.19/8.63 % (3353202)Instructions burned: 2051 (million)
% 53.19/8.63 % (3353216)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1121964730:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2971 on theBenchmark for (2971ds/14534Mi)
% 53.19/8.63 % (3353213)Instruction limit reached!
% 53.19/8.63 % (3353213)------------------------------
% 53.19/8.63 % (3353213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.19/8.63 % (3353213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.19/8.63 % (3353213)CaDiCaL version: 2.1.3
% 53.19/8.63 % (3353213)Termination reason: Instruction limit
% 53.19/8.63 % (3353213)Termination phase: Saturation
% 53.19/8.63 % (3353213)Time elapsed: 3.297 s
% 53.19/8.63 % (3353213)Peak memory usage: 133 MB
% 53.19/8.63 % (3353213)Instructions burned: 2836 (million)
% 53.19/8.63 % (3353219)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=1610588904:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2948 on theBenchmark for (2948ds/11832Mi)
% 53.19/8.63 % (3353203)Instruction limit reached!
% 53.19/8.63 % (3353203)------------------------------
% 53.19/8.63 % (3353203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.19/8.63 % (3353203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.19/8.63 % (3353203)CaDiCaL version: 2.1.3
% 53.19/8.63 % (3353203)Termination reason: Instruction limit
% 53.19/8.63 % (3353203)Termination phase: Saturation
% 53.19/8.63 % (3353203)Time elapsed: 5.244 s
% 53.19/8.63 % (3353203)Peak memory usage: 169 MB
% 53.19/8.63 % (3353203)Instructions burned: 4949 (million)
% 53.19/8.63 % (3353223)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=4107395436:i=2279:fgj=on:bd=all_2940 on theBenchmark for (2940ds/2279Mi)
% 53.19/8.63 % (3353189)First to succeed.
% 53.19/8.63 % (3353189)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3353183"
% 53.19/8.63 % (3353189)Refutation found. Thanks to Tanya!
% 53.19/8.63 % SZS status Unsatisfiable for theBenchmark
% 53.19/8.63 % SZS output start Proof for theBenchmark
% See solution above
% 53.19/8.63 % (3353189)------------------------------
% 53.19/8.63 % (3353189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.19/8.63 % (3353189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.19/8.63 % (3353189)CaDiCaL version: 2.1.3
% 53.19/8.63 % (3353189)Termination reason: Refutation
% 53.19/8.63 % (3353189)Time elapsed: 6.651 s
% 53.19/8.63 % (3353189)Peak memory usage: 183 MB
% 53.19/8.63 % (3353189)Instructions burned: 6325 (million)
% 53.19/8.63 % (3353189)------------------------------
% 53.19/8.63 % (3353189)------------------------------
% 53.19/8.63 % (3353183)Success in time 7.387 s
% 53.19/8.63 % Vampire exiting
%------------------------------------------------------------------------------