%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL009+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 : n014.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 12:33:40 PM UTC 2026
% Result : Theorem 10.25s 2.46s
% Output : Refutation 10.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 47 ( 33 unt; 4 def)
% Number of atoms : 65 ( 35 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 21 ~; 10 |; 4 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 34 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( join(X0,X1) = X1
=> ( join(composition(X0,X2),composition(X1,X2)) = composition(X1,X2)
& join(composition(X2,X0),composition(X2,X1)) = composition(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( join(X0,X1) = X1
=> ( join(composition(X0,X2),composition(X1,X2)) = composition(X1,X2)
& join(composition(X2,X0),composition(X2,X1)) = composition(X2,X1) ) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ( composition(X1,X2) != join(composition(X0,X2),composition(X1,X2))
| composition(X2,X1) != join(composition(X2,X0),composition(X2,X1)) )
& join(X0,X1) = X1 ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ( composition(sK1,sK2) != join(composition(sK0,sK2),composition(sK1,sK2))
| composition(sK2,sK1) != join(composition(sK2,sK0),composition(sK2,sK1)) )
& sK1 = join(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).
fof(f18,plain,
sK1 = join(sK0,sK1),
inference(cnf_transformation,[],[f17]) ).
fof(f19,plain,
( composition(sK1,sK2) != join(composition(sK0,sK2),composition(sK1,sK2))
| composition(sK2,sK1) != join(composition(sK2,sK0),composition(sK2,sK1)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f21,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f22,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f24,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f28,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f30,definition,
~ sP3(join(composition(sK0,sK2),composition(sK1,sK2))),
introduced(definition,[new_symbols(definition,[sP3])],[inequality_splitting_name_introduction]) ).
fof(f31,definition,
~ sP4(join(composition(sK2,sK0),composition(sK2,sK1))),
introduced(definition,[new_symbols(definition,[sP4])],[inequality_splitting_name_introduction]) ).
fof(f32,plain,
( sP3(composition(sK1,sK2))
| sP4(composition(sK2,sK1)) ),
inference(inequality_splitting,[],[f19,f31,f30]) ).
fof(f33,plain,
~ sP3(join(composition(sK1,sK2),composition(sK0,sK2))),
inference(forward_demodulation,[],[f30,f28]) ).
fof(f34,plain,
~ sP4(join(composition(sK2,sK1),composition(sK2,sK0))),
inference(forward_demodulation,[],[f31,f28]) ).
fof(f35,plain,
sK1 = join(sK1,sK0),
inference(forward_demodulation,[],[f18,f28]) ).
fof(f37,definition,
( spl5_1
<=> sP4(composition(sK2,sK1)) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f39,plain,
( sP4(composition(sK2,sK1))
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f41,definition,
( spl5_2
<=> sP3(composition(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f43,plain,
( sP3(composition(sK1,sK2))
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f32,f41,f37]) ).
fof(f46,plain,
! [X0] : composition(sK1,X0) = join(composition(sK1,X0),composition(sK0,X0)),
inference(superposition,[],[f24,f35]) ).
fof(f47,plain,
converse(sK1) = join(converse(sK1),converse(sK0)),
inference(superposition,[],[f22,f35]) ).
fof(f49,plain,
! [X0] : composition(converse(sK1),X0) = join(composition(converse(sK1),X0),composition(converse(sK0),X0)),
inference(superposition,[],[f24,f47]) ).
fof(f64,plain,
~ sP3(composition(sK1,sK2)),
inference(superposition,[],[f33,f46]) ).
fof(f70,plain,
( $false
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f64,f43]) ).
fof(f71,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f70]) ).
fof(f116,plain,
! [X0] : converse(composition(converse(sK1),X0)) = join(converse(composition(converse(sK1),X0)),converse(composition(converse(sK0),X0))),
inference(superposition,[],[f22,f49]) ).
fof(f117,plain,
! [X0] : converse(composition(converse(sK1),X0)) = join(converse(composition(converse(sK1),X0)),composition(converse(X0),converse(converse(sK0)))),
inference(forward_demodulation,[],[f116,f21]) ).
fof(f119,plain,
! [X0] : converse(composition(converse(sK1),X0)) = join(converse(composition(converse(sK1),X0)),composition(converse(X0),sK0)),
inference(forward_demodulation,[],[f117,f23]) ).
fof(f121,plain,
! [X0] : composition(converse(X0),converse(converse(sK1))) = join(composition(converse(X0),converse(converse(sK1))),composition(converse(X0),sK0)),
inference(forward_demodulation,[],[f119,f21]) ).
fof(f122,plain,
! [X0] : composition(converse(X0),sK1) = join(composition(converse(X0),sK1),composition(converse(X0),sK0)),
inference(forward_demodulation,[],[f121,f23]) ).
fof(f578,plain,
! [X0] : composition(X0,sK1) = join(composition(X0,sK1),composition(X0,sK0)),
inference(superposition,[],[f122,f23]) ).
fof(f741,plain,
~ sP4(composition(sK2,sK1)),
inference(superposition,[],[f34,f578]) ).
fof(f749,plain,
( $false
| ~ spl5_1 ),
inference(forward_subsumption_resolution,[],[f741,f39]) ).
fof(f750,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f749]) ).
cnf(s1,plain,
( spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f44]) ).
cnf(s2,plain,
~ spl5_2,
inference(sat_conversion,[],[f71]) ).
cnf(s3,plain,
~ spl5_1,
inference(sat_conversion,[],[f750]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f759,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL009+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n014.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 22:50:01 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 9.66/2.26 % (1251658)Detected formulas, will run a generic FOF schedule.
% 9.66/2.26 % (1251758)dis-21_1_sil=8000:lcm=predicate:random_seed=2466332044:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.66/2.26 % (1251758)Refutation not found, incomplete strategy
% 9.66/2.26 % (1251758)------------------------------
% 9.66/2.26 % (1251758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/2.26 % (1251758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/2.26 % (1251758)CaDiCaL version: 2.1.3
% 9.66/2.26 % (1251758)Termination reason: Refutation not found, incomplete strategy
% 9.66/2.26 % (1251758)Time elapsed: 0.002 s
% 9.66/2.26 % (1251758)Peak memory usage: 88 MB
% 9.66/2.26 % (1251758)Instructions burned: 1 (million)
% 9.66/2.26 % (1251753)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1869427476:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.66/2.26 % (1251754)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1290844532:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.66/2.26 % (1251752)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3794408964:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.66/2.26 % (1251756)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4144161798:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.66/2.26 % (1251755)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2647360368:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.66/2.26 % (1251757)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2159745616:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.66/2.26 % (1251756)Instruction limit reached!
% 9.66/2.26 % (1251756)------------------------------
% 9.66/2.26 % (1251756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/2.26 % (1251756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/2.26 % (1251756)CaDiCaL version: 2.1.3
% 9.66/2.26 % (1251756)Termination reason: Instruction limit
% 9.66/2.26 % (1251756)Termination phase: Saturation
% 9.66/2.26 % (1251756)Time elapsed: 0.107 s
% 9.66/2.26 % (1251756)Peak memory usage: 88 MB
% 9.66/2.26 % (1251756)Instructions burned: 120 (million)
% 9.66/2.26 % (1251755)Instruction limit reached!
% 9.66/2.26 % (1251755)------------------------------
% 9.66/2.26 % (1251755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/2.26 % (1251755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/2.26 % (1251755)CaDiCaL version: 2.1.3
% 9.66/2.26 % (1251755)Termination reason: Instruction limit
% 9.66/2.26 % (1251755)Termination phase: Saturation
% 9.66/2.26 % (1251755)Time elapsed: 0.109 s
% 9.66/2.26 % (1251755)Peak memory usage: 88 MB
% 9.66/2.26 % (1251755)Instructions burned: 110 (million)
% 9.66/2.26 % (1251758)------------------------------
% 9.66/2.26 % (1251758)------------------------------
% 9.66/2.26 % (1251757)Instruction limit reached!
% 9.66/2.26 % (1251757)------------------------------
% 9.66/2.26 % (1251757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/2.26 % (1251757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/2.26 % (1251757)CaDiCaL version: 2.1.3
% 9.66/2.26 % (1251757)Termination reason: Instruction limit
% 9.66/2.26 % (1251757)Termination phase: Saturation
% 9.66/2.26 % (1251757)Time elapsed: 0.140 s
% 9.66/2.26 % (1251757)Peak memory usage: 90 MB
% 9.66/2.26 % (1251757)Instructions burned: 139 (million)
% 9.66/2.26 % (1251798)lrs+10_1_sil=32000:urr=on:br=off:random_seed=191017918:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 9.66/2.26 % (1251797)lrs+10_1_sil=8000:sp=occurrence:random_seed=2309492565:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 9.66/2.26 % (1251803)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4232832409:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 9.66/2.26 % (1251804)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1924300651:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.25/2.46 % (1251798)Instruction limit reached!
% 10.25/2.46 % (1251798)------------------------------
% 10.25/2.46 % (1251798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.46 % (1251798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.46 % (1251798)CaDiCaL version: 2.1.3
% 10.25/2.46 % (1251798)Termination reason: Instruction limit
% 10.25/2.46 % (1251798)Termination phase: Saturation
% 10.25/2.46 % (1251798)Time elapsed: 0.121 s
% 10.25/2.46 % (1251798)Peak memory usage: 89 MB
% 10.25/2.46 % (1251798)Instructions burned: 157 (million)
% 10.25/2.46 % (1251804)Instruction limit reached!
% 10.25/2.46 % (1251804)------------------------------
% 10.25/2.46 % (1251804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.46 % (1251804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.46 % (1251804)CaDiCaL version: 2.1.3
% 10.25/2.46 % (1251804)Termination reason: Instruction limit
% 10.25/2.46 % (1251804)Termination phase: Saturation
% 10.25/2.46 % (1251804)Time elapsed: 0.129 s
% 10.25/2.46 % (1251804)Peak memory usage: 92 MB
% 10.25/2.46 % (1251804)Instructions burned: 249 (million)
% 10.25/2.46 % (1251797)Instruction limit reached!
% 10.25/2.46 % (1251797)------------------------------
% 10.25/2.46 % (1251797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.46 % (1251797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.46 % (1251797)CaDiCaL version: 2.1.3
% 10.25/2.46 % (1251797)Termination reason: Instruction limit
% 10.25/2.46 % (1251797)Termination phase: Saturation
% 10.25/2.46 % (1251797)Time elapsed: 0.285 s
% 10.25/2.46 % (1251797)Peak memory usage: 91 MB
% 10.25/2.46 % (1251797)Instructions burned: 286 (million)
% 10.25/2.46 % (1251813)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=870493507:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 10.25/2.46 % (1251803)Instruction limit reached!
% 10.25/2.46 % (1251803)------------------------------
% 10.25/2.46 % (1251803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.46 % (1251803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.46 % (1251803)CaDiCaL version: 2.1.3
% 10.25/2.46 % (1251803)Termination reason: Instruction limit
% 10.25/2.46 % (1251803)Termination phase: Saturation
% 10.25/2.46 % (1251803)Time elapsed: 0.315 s
% 10.25/2.46 % (1251803)Peak memory usage: 91 MB
% 10.25/2.46 % (1251803)Instructions burned: 325 (million)
% 10.25/2.46 % (1251813)First to succeed.
% 10.25/2.46 % (1251813)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1251658"
% 10.25/2.46 % (1251814)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4239015493:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 10.25/2.46 % (1251815)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1213158189:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 10.25/2.46 % (1251822)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1398184412:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 10.25/2.46 % (1251822)Refutation not found, incomplete strategy
% 10.25/2.46 % (1251822)------------------------------
% 10.25/2.46 % (1251822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.46 % (1251822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.46 % (1251822)CaDiCaL version: 2.1.3
% 10.25/2.46 % (1251822)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.46 % (1251822)Time elapsed: 0.001 s
% 10.25/2.46 % (1251822)Peak memory usage: 88 MB
% 10.25/2.46 % (1251752)Also succeeded, but the first one will report.
% 10.25/2.46 % (1251753)Also succeeded, but the first one will report.
% 10.25/2.46 % (1251815)Instruction limit reached!
% 10.25/2.46 % (1251815)------------------------------
% 10.25/2.46 % (1251815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.46 % (1251815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.46 % (1251815)CaDiCaL version: 2.1.3
% 10.25/2.46 % (1251815)Termination reason: Instruction limit
% 10.25/2.46 % (1251815)Termination phase: Saturation
% 10.25/2.46 % (1251815)Time elapsed: 0.110 s
% 10.25/2.46 % (1251815)Peak memory usage: 90 MB
% 10.25/2.46 % (1251815)Instructions burned: 114 (million)
% 10.25/2.46 % (1251813)Refutation found. Thanks to Tanya!
% 10.25/2.46 % SZS status Theorem for theBenchmark
% 10.25/2.46 % SZS output start Proof for theBenchmark
% See solution above
% 10.25/2.46 % (1251813)------------------------------
% 10.25/2.46 % (1251813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.46 % (1251813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.46 % (1251813)CaDiCaL version: 2.1.3
% 10.25/2.46 % (1251813)Termination reason: Refutation
% 10.25/2.46 % (1251813)Time elapsed: 0.033 s
% 10.25/2.46 % (1251813)Peak memory usage: 90 MB
% 10.25/2.46 % (1251813)Instructions burned: 31 (million)
% 10.25/2.46 % (1251813)------------------------------
% 10.25/2.46 % (1251813)------------------------------
% 10.25/2.46 % (1251658)Success in time 1.377 s
% 10.25/2.46 % Vampire exiting
%------------------------------------------------------------------------------