%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP750-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 10:16:06 AM UTC 2026
% Result : Unsatisfiable 8.14s 2.07s
% Output : Refutation 8.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 78 ( 37 unt; 15 def)
% Number of atoms : 148 ( 53 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 135 ( 65 ~; 61 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 10 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(X0,mult(X0,X0)),mult(X1,X2)) = mult(mult(X0,X1),mult(mult(X0,X0),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,X2)) = mult(mult(X0,X2),mult(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f7,negated_conjecture,
mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f8,definition,
sF0 = mult(a,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f9,plain,
mult(a,a) = sF0,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF1 = mult(b,c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f11,plain,
mult(b,c) = sF1,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF2 = mult(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f13,plain,
mult(sF0,sF1) = sF2,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF3 = mult(a,b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f15,plain,
mult(a,b) = sF3,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF4 = mult(a,c),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f17,plain,
mult(a,c) = sF4,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF5 = mult(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f19,plain,
mult(sF3,sF4) = sF5,
inference(reorient_equations,[],[f18]) ).
fof(f20,plain,
sF2 != sF5,
inference(definition_folding,[],[f7,f19,f17,f15,f13,f11,f9]) ).
fof(f22,definition,
( spl6_1
<=> sF2 = sF5 ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f25,plain,
~ spl6_1,
inference(avatar_split_clause,[],[f20,f22]) ).
fof(f27,definition,
( spl6_2
<=> mult(a,a) = sF0 ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f29,plain,
( mult(a,a) = sF0
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f30,plain,
spl6_2,
inference(avatar_split_clause,[],[f9,f27]) ).
fof(f32,definition,
( spl6_3
<=> mult(b,c) = sF1 ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f34,plain,
( mult(b,c) = sF1
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f35,plain,
spl6_3,
inference(avatar_split_clause,[],[f11,f32]) ).
fof(f37,definition,
( spl6_4
<=> mult(sF0,sF1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f39,plain,
( mult(sF0,sF1) = sF2
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f40,plain,
spl6_4,
inference(avatar_split_clause,[],[f13,f37]) ).
fof(f42,definition,
( spl6_5
<=> mult(a,b) = sF3 ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f44,plain,
( mult(a,b) = sF3
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f45,plain,
spl6_5,
inference(avatar_split_clause,[],[f15,f42]) ).
fof(f47,definition,
( spl6_6
<=> mult(a,c) = sF4 ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f49,plain,
( mult(a,c) = sF4
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f50,plain,
spl6_6,
inference(avatar_split_clause,[],[f17,f47]) ).
fof(f52,definition,
( spl6_7
<=> mult(sF3,sF4) = sF5 ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f54,plain,
( mult(sF3,sF4) = sF5
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f55,plain,
spl6_7,
inference(avatar_split_clause,[],[f19,f52]) ).
fof(f186,plain,
( ! [X0] : mult(mult(a,X0),mult(c,c)) = mult(sF4,mult(X0,c))
| ~ spl6_6 ),
inference(superposition,[],[f6,f49]) ).
fof(f195,plain,
( ! [X0] : mult(mult(X0,sF3),mult(sF4,sF4)) = mult(mult(X0,sF4),sF5)
| ~ spl6_7 ),
inference(superposition,[],[f6,f54]) ).
fof(f369,definition,
( spl6_34
<=> mult(c,c) = ld(sF3,mult(sF4,sF1)) ),
introduced(definition,[new_symbols(definition,[spl6_34])],[avatar_definition]) ).
fof(f371,plain,
( mult(c,c) = ld(sF3,mult(sF4,sF1))
| ~ spl6_34 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f495,plain,
( ! [X0] : mult(c,c) = ld(mult(a,X0),mult(sF4,mult(X0,c)))
| ~ spl6_6 ),
inference(superposition,[],[f2,f186]) ).
fof(f621,plain,
( ! [X0,X1] : mult(mult(a,sF0),mult(X0,X1)) = mult(mult(a,X0),mult(sF0,X1))
| ~ spl6_2 ),
inference(superposition,[],[f5,f29]) ).
fof(f629,plain,
( ! [X0] : mult(mult(a,mult(a,a)),mult(X0,mult(c,c))) = mult(mult(a,X0),mult(sF4,mult(a,c)))
| ~ spl6_6 ),
inference(superposition,[],[f5,f186]) ).
fof(f669,plain,
( ! [X0] : mult(mult(a,mult(a,a)),mult(X0,mult(c,c))) = mult(mult(a,X0),mult(sF4,sF4))
| ~ spl6_6 ),
inference(forward_demodulation,[],[f629,f49]) ).
fof(f703,plain,
( ! [X0] : mult(mult(a,X0),mult(sF4,sF4)) = mult(mult(a,sF0),mult(X0,mult(c,c)))
| ~ spl6_2
| ~ spl6_6 ),
inference(forward_demodulation,[],[f669,f29]) ).
fof(f830,plain,
( ! [X0,X1] : mult(mult(a,sF0),X0) = mult(mult(a,X1),mult(sF0,ld(X1,X0)))
| ~ spl6_2 ),
inference(superposition,[],[f621,f1]) ).
fof(f839,plain,
( ! [X0] : mult(mult(a,sF0),mult(X0,sF1)) = mult(mult(a,X0),sF2)
| ~ spl6_2
| ~ spl6_4 ),
inference(superposition,[],[f621,f39]) ).
fof(f2243,plain,
( mult(c,c) = ld(mult(a,b),mult(sF4,sF1))
| ~ spl6_3
| ~ spl6_6 ),
inference(superposition,[],[f495,f34]) ).
fof(f2250,plain,
( mult(c,c) = ld(sF3,mult(sF4,sF1))
| ~ spl6_3
| ~ spl6_5
| ~ spl6_6 ),
inference(forward_demodulation,[],[f2243,f44]) ).
fof(f2255,plain,
( spl6_34
| ~ spl6_3
| ~ spl6_5
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f2250,f47,f42,f32,f369]) ).
fof(f3792,plain,
( mult(mult(a,sF3),mult(sF0,mult(c,c))) = mult(mult(a,sF0),mult(sF4,sF1))
| ~ spl6_2
| ~ spl6_34 ),
inference(superposition,[],[f830,f371]) ).
fof(f3823,plain,
( mult(mult(a,sF3),mult(sF0,mult(c,c))) = mult(mult(a,sF4),sF2)
| ~ spl6_2
| ~ spl6_4
| ~ spl6_34 ),
inference(forward_demodulation,[],[f3792,f839]) ).
fof(f3861,plain,
( mult(mult(a,sF0),mult(sF3,mult(c,c))) = mult(mult(a,sF4),sF2)
| ~ spl6_2
| ~ spl6_4
| ~ spl6_34 ),
inference(forward_demodulation,[],[f3823,f621]) ).
fof(f3882,plain,
( mult(mult(a,sF4),sF2) = mult(mult(a,sF3),mult(sF4,sF4))
| ~ spl6_2
| ~ spl6_4
| ~ spl6_6
| ~ spl6_34 ),
inference(forward_demodulation,[],[f3861,f703]) ).
fof(f3901,plain,
( mult(mult(a,sF4),sF2) = mult(mult(a,sF4),sF5)
| ~ spl6_2
| ~ spl6_4
| ~ spl6_6
| ~ spl6_7
| ~ spl6_34 ),
inference(forward_demodulation,[],[f3882,f195]) ).
fof(f3910,definition,
( spl6_140
<=> mult(mult(a,sF4),sF2) = mult(mult(a,sF4),sF5) ),
introduced(definition,[new_symbols(definition,[spl6_140])],[avatar_definition]) ).
fof(f3912,plain,
( mult(mult(a,sF4),sF2) = mult(mult(a,sF4),sF5)
| ~ spl6_140 ),
inference(avatar_component_clause,[],[f3910]) ).
fof(f3913,plain,
( spl6_140
| ~ spl6_2
| ~ spl6_4
| ~ spl6_6
| ~ spl6_7
| ~ spl6_34 ),
inference(avatar_split_clause,[],[f3901,f369,f52,f47,f37,f27,f3910]) ).
fof(f3923,plain,
( sF5 = ld(mult(a,sF4),mult(mult(a,sF4),sF2))
| ~ spl6_140 ),
inference(superposition,[],[f2,f3912]) ).
fof(f3943,plain,
( sF2 = sF5
| ~ spl6_140 ),
inference(forward_demodulation,[],[f3923,f2]) ).
fof(f3960,plain,
( spl6_1
| ~ spl6_140 ),
inference(avatar_split_clause,[],[f3943,f3910,f22]) ).
cnf(s1,plain,
~ spl6_1,
inference(sat_conversion,[],[f25]) ).
cnf(s2,plain,
spl6_2,
inference(sat_conversion,[],[f30]) ).
cnf(s3,plain,
spl6_3,
inference(sat_conversion,[],[f35]) ).
cnf(s4,plain,
spl6_4,
inference(sat_conversion,[],[f40]) ).
cnf(s5,plain,
spl6_5,
inference(sat_conversion,[],[f45]) ).
cnf(s6,plain,
spl6_6,
inference(sat_conversion,[],[f50]) ).
cnf(s7,plain,
spl6_7,
inference(sat_conversion,[],[f55]) ).
cnf(s215,plain,
( ~ spl6_3
| ~ spl6_5
| ~ spl6_6
| spl6_34 ),
inference(sat_conversion,[],[f2255]) ).
cnf(s301,plain,
( ~ spl6_2
| ~ spl6_4
| ~ spl6_6
| ~ spl6_7
| ~ spl6_34
| spl6_140 ),
inference(sat_conversion,[],[f3913]) ).
cnf(s307,plain,
( spl6_1
| ~ spl6_140 ),
inference(sat_conversion,[],[f3960]) ).
cnf(s329,plain,
spl6_34,
inference(rat,[],[s215,s5,s6,s3]) ).
cnf(s338,plain,
spl6_140,
inference(rat,[],[s301,s329,s4,s7,s6,s2]) ).
cnf(s390,plain,
spl6_1,
inference(rat,[],[s307,s338]) ).
cnf(s449,plain,
$false,
inference(rat,[],[s1,s390]) ).
fof(f3966,plain,
$false,
inference(avatar_sat_refutation,[],[s449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP750-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n026.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 10:45:13 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 6.23/1.93 % (2647982)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.23/1.93 % (2647990)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3759750939:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 6.23/1.93 % (2647993)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2991405179:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 6.23/1.93 % (2647988)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=2814258351:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 6.23/1.93 % (2647987)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=3228968493:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 6.23/1.93 % (2647991)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=853682415:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 6.23/1.93 % (2647989)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3493752039:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 6.23/1.93 % (2647992)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=574536111:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 6.23/1.93 % (2647990)Instruction limit reached!
% 6.23/1.93 % (2647990)------------------------------
% 6.23/1.93 % (2647990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.93 % (2647990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.93 % (2647990)CaDiCaL version: 2.1.3
% 6.23/1.93 % (2647990)Termination reason: Instruction limit
% 6.23/1.93 % (2647990)Termination phase: Saturation
% 6.23/1.93 % (2647990)Time elapsed: 0.046 s
% 6.23/1.93 % (2647990)Peak memory usage: 89 MB
% 6.23/1.93 % (2647990)Instructions burned: 139 (million)
% 6.23/1.93 % (2647991)Instruction limit reached!
% 6.23/1.93 % (2647991)------------------------------
% 6.23/1.93 % (2647991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.93 % (2647991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.93 % (2647991)CaDiCaL version: 2.1.3
% 6.23/1.93 % (2647991)Termination reason: Instruction limit
% 6.23/1.93 % (2647991)Termination phase: Saturation
% 6.23/1.93 % (2648001)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=4241082576:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 6.23/1.93 % (2647991)Time elapsed: 0.105 s
% 6.23/1.93 % (2647991)Peak memory usage: 89 MB
% 6.23/1.93 % (2647991)Instructions burned: 181 (million)
% 6.23/1.93 % (2647992)Instruction limit reached!
% 6.23/1.93 % (2647992)------------------------------
% 6.23/1.93 % (2647992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.93 % (2647992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.93 % (2647992)CaDiCaL version: 2.1.3
% 6.23/1.93 % (2647992)Termination reason: Instruction limit
% 6.23/1.93 % (2647992)Termination phase: Saturation
% 6.23/1.93 % (2647992)Time elapsed: 0.165 s
% 6.23/1.93 % (2647992)Peak memory usage: 90 MB
% 6.23/1.93 % (2647992)Instructions burned: 258 (million)
% 6.23/1.93 % (2648003)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2161524775:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 6.23/1.93 % (2648004)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3883955793:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 6.23/1.93 % (2648004)Instruction limit reached!
% 6.23/1.93 % (2648004)------------------------------
% 6.23/1.93 % (2648004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.23/1.93 % (2648004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.93 % (2648004)CaDiCaL version: 2.1.3
% 6.23/1.93 % (2648004)Termination reason: Instruction limit
% 6.23/1.93 % (2648004)Termination phase: Saturation
% 6.23/1.93 % (2648004)Time elapsed: 0.117 s
% 8.14/2.07 % (2648004)Peak memory usage: 90 MB
% 8.14/2.07 % (2648004)Instructions burned: 216 (million)
% 8.14/2.07 % (2648007)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=1745959132:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 8.14/2.07 % (2647993)Instruction limit reached!
% 8.14/2.07 % (2647993)------------------------------
% 8.14/2.07 % (2647993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/2.07 % (2647993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/2.07 % (2647993)CaDiCaL version: 2.1.3
% 8.14/2.07 % (2647993)Termination reason: Instruction limit
% 8.14/2.07 % (2647993)Termination phase: Saturation
% 8.14/2.07 % (2647993)Time elapsed: 0.636 s
% 8.14/2.07 % (2647993)Peak memory usage: 99 MB
% 8.14/2.07 % (2647993)Instructions burned: 1187 (million)
% 8.14/2.07 % (2648007)First to succeed.
% 8.14/2.07 % (2648007)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2647982"
% 8.14/2.07 % (2648009)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=2988016386:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 8.14/2.07 % (2648001)Instruction limit reached!
% 8.14/2.07 % (2648001)------------------------------
% 8.14/2.07 % (2648001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/2.07 % (2648001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/2.07 % (2648001)CaDiCaL version: 2.1.3
% 8.14/2.07 % (2648001)Termination reason: Instruction limit
% 8.14/2.07 % (2648001)Termination phase: Saturation
% 8.14/2.07 % (2648001)Time elapsed: 0.701 s
% 8.14/2.07 % (2648001)Peak memory usage: 140 MB
% 8.14/2.07 % (2648001)Instructions burned: 2055 (million)
% 8.14/2.07 % (2647987)Also succeeded, but the first one will report.
% 8.14/2.07 % (2648011)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1435919313:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 8.14/2.07 % (2648007)Refutation found. Thanks to Tanya!
% 8.14/2.07 % SZS status Unsatisfiable for theBenchmark
% 8.14/2.07 % SZS output start Proof for theBenchmark
% See solution above
% 8.14/2.07 % (2648007)------------------------------
% 8.14/2.07 % (2648007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.14/2.07 % (2648007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/2.07 % (2648007)CaDiCaL version: 2.1.3
% 8.14/2.07 % (2648007)Termination reason: Refutation
% 8.14/2.07 % (2648007)Time elapsed: 0.117 s
% 8.14/2.07 % (2648007)Peak memory usage: 92 MB
% 8.14/2.07 % (2648007)Instructions burned: 178 (million)
% 8.14/2.07 % (2648007)------------------------------
% 8.14/2.07 % (2648007)------------------------------
% 8.14/2.07 % (2647982)Success in time 1.075 s
% 8.14/2.07 % Vampire exiting
%------------------------------------------------------------------------------