%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW391+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 01:39:55 PM UTC 2026
% Result : Theorem 12.40s 2.42s
% Output : Refutation 12.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 14 unt; 2 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 78 ( 33 ~; 26 |; 11 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 26 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5228,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f5229,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P_H),v_c),v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f5230,conjecture,
! [X0,X1] :
( ( hBOOL(hAPP(hAPP(v_P,X0),X1))
| hBOOL(hAPP(hAPP(v_P_H,X0),X1)) )
=> ? [X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
& ! [X4] :
( ! [X5] :
( hBOOL(hAPP(hAPP(X2,X5),X1))
=> hBOOL(hAPP(hAPP(X3,X5),X4)) )
=> ( hBOOL(hAPP(hAPP(v_Q,X0),X4))
| hBOOL(hAPP(hAPP(v_Q_H,X0),X4)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
fof(f5231,negated_conjecture,
~ ! [X0,X1] :
( ( hBOOL(hAPP(hAPP(v_P,X0),X1))
| hBOOL(hAPP(hAPP(v_P_H,X0),X1)) )
=> ? [X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
& ! [X4] :
( ! [X5] :
( hBOOL(hAPP(hAPP(X2,X5),X1))
=> hBOOL(hAPP(hAPP(X3,X5),X4)) )
=> ( hBOOL(hAPP(hAPP(v_Q,X0),X4))
| hBOOL(hAPP(hAPP(v_Q_H,X0),X4)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f5230]) ).
fof(f9537,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ? [X4] :
( ~ hBOOL(hAPP(hAPP(v_Q,X0),X4))
& ~ hBOOL(hAPP(hAPP(v_Q_H,X0),X4))
& ! [X5] :
( hBOOL(hAPP(hAPP(X3,X5),X4))
| ~ hBOOL(hAPP(hAPP(X2,X5),X1)) ) ) )
& ( hBOOL(hAPP(hAPP(v_P,X0),X1))
| hBOOL(hAPP(hAPP(v_P_H,X0),X1)) ) ),
inference(ennf_transformation,[],[f5231]) ).
fof(f9538,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ? [X4] :
( ~ hBOOL(hAPP(hAPP(v_Q,X0),X4))
& ~ hBOOL(hAPP(hAPP(v_Q_H,X0),X4))
& ! [X5] :
( hBOOL(hAPP(hAPP(X3,X5),X4))
| ~ hBOOL(hAPP(hAPP(X2,X5),X1)) ) ) )
& ( hBOOL(hAPP(hAPP(v_P,X0),X1))
| hBOOL(hAPP(hAPP(v_P_H,X0),X1)) ) ),
inference(flattening,[],[f9537]) ).
fof(f11262,plain,
( ! [X2,X3] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ( ~ hBOOL(hAPP(hAPP(v_Q,sK582),sK584(X2,X3)))
& ~ hBOOL(hAPP(hAPP(v_Q_H,sK582),sK584(X2,X3)))
& ! [X5] :
( hBOOL(hAPP(hAPP(X3,X5),sK584(X2,X3)))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK583)) ) ) )
& ( hBOOL(hAPP(hAPP(v_P,sK582),sK583))
| hBOOL(hAPP(hAPP(v_P_H,sK582),sK583)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK582,sK583,sK584]),skolemize(X0,sK582),skolemize(X1,sK583),skolemize(X4,sK584(X2,X3))],[f9538]) ).
fof(f18367,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5228]) ).
fof(f18368,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P_H),v_c),v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5229]) ).
fof(f18369,plain,
( hBOOL(hAPP(hAPP(v_P,sK582),sK583))
| hBOOL(hAPP(hAPP(v_P_H,sK582),sK583)) ),
inference(cnf_transformation,[],[f11262]) ).
fof(f18370,plain,
! [X2,X3,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| hBOOL(hAPP(hAPP(X3,X5),sK584(X2,X3)))
| ~ hBOOL(hAPP(hAPP(X2,X5),sK583)) ),
inference(cnf_transformation,[],[f11262]) ).
fof(f18371,plain,
! [X2,X3] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(v_Q_H,sK582),sK584(X2,X3))) ),
inference(cnf_transformation,[],[f11262]) ).
fof(f18372,plain,
! [X2,X3] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(v_Q,sK582),sK584(X2,X3))) ),
inference(cnf_transformation,[],[f11262]) ).
fof(f20170,definition,
( spl585_19
<=> hBOOL(hAPP(hAPP(v_P_H,sK582),sK583)) ),
introduced(definition,[new_symbols(definition,[spl585_19])],[avatar_definition]) ).
fof(f20172,plain,
( hBOOL(hAPP(hAPP(v_P_H,sK582),sK583))
| ~ spl585_19 ),
inference(avatar_component_clause,[],[f20170]) ).
fof(f20174,definition,
( spl585_20
<=> hBOOL(hAPP(hAPP(v_P,sK582),sK583)) ),
introduced(definition,[new_symbols(definition,[spl585_20])],[avatar_definition]) ).
fof(f20176,plain,
( hBOOL(hAPP(hAPP(v_P,sK582),sK583))
| ~ spl585_20 ),
inference(avatar_component_clause,[],[f20174]) ).
fof(f20177,plain,
( spl585_19
| spl585_20 ),
inference(avatar_split_clause,[],[f18369,f20174,f20170]) ).
fof(f25244,plain,
! [X0] :
( hBOOL(hAPP(hAPP(v_Q,X0),sK584(v_P,v_Q)))
| ~ hBOOL(hAPP(hAPP(v_P,X0),sK583)) ),
inference(resolution,[],[f18367,f18370]) ).
fof(f25245,plain,
~ hBOOL(hAPP(hAPP(v_Q,sK582),sK584(v_P,v_Q))),
inference(resolution,[],[f18367,f18372]) ).
fof(f25258,plain,
~ hBOOL(hAPP(hAPP(v_P,sK582),sK583)),
inference(resolution,[],[f25245,f25244]) ).
fof(f25259,plain,
( $false
| ~ spl585_20 ),
inference(forward_subsumption_resolution,[],[f25258,f20176]) ).
fof(f25260,plain,
~ spl585_20,
inference(avatar_contradiction_clause,[],[f25259]) ).
fof(f25263,plain,
! [X0] :
( hBOOL(hAPP(hAPP(v_Q_H,X0),sK584(v_P_H,v_Q_H)))
| ~ hBOOL(hAPP(hAPP(v_P_H,X0),sK583)) ),
inference(resolution,[],[f18368,f18370]) ).
fof(f25265,plain,
~ hBOOL(hAPP(hAPP(v_Q_H,sK582),sK584(v_P_H,v_Q_H))),
inference(resolution,[],[f18368,f18371]) ).
fof(f25277,plain,
~ hBOOL(hAPP(hAPP(v_P_H,sK582),sK583)),
inference(resolution,[],[f25265,f25263]) ).
fof(f25278,plain,
( $false
| ~ spl585_19 ),
inference(forward_subsumption_resolution,[],[f25277,f20172]) ).
fof(f25279,plain,
~ spl585_19,
inference(avatar_contradiction_clause,[],[f25278]) ).
cnf(s7050,plain,
( spl585_19
| spl585_20 ),
inference(sat_conversion,[],[f20177]) ).
cnf(s9657,plain,
~ spl585_20,
inference(sat_conversion,[],[f25260]) ).
cnf(s9679,plain,
~ spl585_19,
inference(sat_conversion,[],[f25279]) ).
cnf(s9681,plain,
$false,
inference(rat,[],[s7050,s9657,s9679]) ).
fof(f25280,plain,
$false,
inference(avatar_sat_refutation,[],[s9681]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW391+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 13:41:51 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.40/2.42 % (3555972)Will run a generic schedule for satisfiability detection.
% 12.40/2.42 % (3555978)% WARNING: option uhcvi not known.
% 12.40/2.42 % (3555977)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1094243250_2998 on theBenchmark for (2998ds/0Mi)
% 12.40/2.42 % (3555978)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2050791556:i=135531:add=off:rawr=on_2998 on theBenchmark for (2998ds/135531Mi)
% 12.40/2.42 % (3555979)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1162166387:i=88024:add=on:rawr=on_2998 on theBenchmark for (2998ds/88024Mi)
% 12.40/2.42 % (3555980)dis+10_1_sil=32000:sp=arity:random_seed=2026731319:i=103:fgj=on_2998 on theBenchmark for (2998ds/103Mi)
% 12.40/2.42 % (3555981)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=455402995:i=116_2998 on theBenchmark for (2998ds/116Mi)
% 12.40/2.42 % (3555982)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1490790293:i=131_2998 on theBenchmark for (2998ds/131Mi)
% 12.40/2.42 % (3555983)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1038595432:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2998 on theBenchmark for (2998ds/159Mi)
% 12.40/2.42 % (3555980)Instruction limit reached!
% 12.40/2.42 % (3555980)------------------------------
% 12.40/2.42 % (3555980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.42 % (3555980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.42 % (3555980)CaDiCaL version: 2.1.3
% 12.40/2.42 % (3555980)Termination reason: Instruction limit
% 12.40/2.42 % (3555980)Termination phase: Preprocessing 3
% 12.40/2.42 % (3555980)Time elapsed: 0.063 s
% 12.40/2.42 % (3555980)Peak memory usage: 20 MB
% 12.40/2.42 % (3555980)Instructions burned: 105 (million)
% 12.40/2.42 % (3555983)Instruction limit reached!
% 12.40/2.42 % (3555983)------------------------------
% 12.40/2.42 % (3555983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.42 % (3555983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.42 % (3555983)CaDiCaL version: 2.1.3
% 12.40/2.42 % (3555983)Termination reason: Instruction limit
% 12.40/2.42 % (3555983)Termination phase: Clausification
% 12.40/2.42 % (3555983)Time elapsed: 0.070 s
% 12.40/2.42 % (3555983)Peak memory usage: 21 MB
% 12.40/2.42 % (3555983)Instructions burned: 160 (million)
% 12.40/2.42 % (3555981)Instruction limit reached!
% 12.40/2.42 % (3555981)------------------------------
% 12.40/2.42 % (3555981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.42 % (3555981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.42 % (3555981)CaDiCaL version: 2.1.3
% 12.40/2.42 % (3555981)Termination reason: Instruction limit
% 12.40/2.42 % (3555981)Termination phase: NewCNF
% 12.40/2.42 % (3555981)Time elapsed: 0.074 s
% 12.40/2.42 % (3555981)Peak memory usage: 21 MB
% 12.40/2.42 % (3555981)Instructions burned: 117 (million)
% 12.40/2.42 % (3555982)Instruction limit reached!
% 12.40/2.42 % (3555982)------------------------------
% 12.40/2.42 % (3555982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.42 % (3555982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.42 % (3555982)CaDiCaL version: 2.1.3
% 12.40/2.42 % (3555982)Termination reason: Instruction limit
% 12.40/2.42 % (3555982)Termination phase: Preprocessing 3
% 12.40/2.42 % (3555982)Time elapsed: 0.077 s
% 12.40/2.42 % (3555982)Peak memory usage: 20 MB
% 12.40/2.42 % (3555982)Instructions burned: 132 (million)
% 12.40/2.42 % (3555992)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1794170120:i=131:bd=preordered:fsd=on_2997 on theBenchmark for (2997ds/131Mi)
% 12.40/2.42 % (3555991)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1815874319:i=714:nm=2_2997 on theBenchmark for (2997ds/714Mi)
% 12.40/2.42 % (3555993)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1399908581:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 12.40/2.42 % (3555994)ott-21_1_sil=16000:fs=off:random_seed=3175369557:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 12.40/2.42 % (3555992)Instruction limit reached!
% 12.40/2.42 % (3555992)------------------------------
% 12.40/2.42 % (3555992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.42 % (3555992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.42 % (3555992)CaDiCaL version: 2.1.3
% 12.40/2.42 % (3555992)Termination reason: Instruction limit
% 12.40/2.42 % (3555992)Termination phase: Preprocessing 3
% 12.40/2.42 % (3555992)Time elapsed: 0.043 s
% 12.40/2.42 % (3555992)Peak memory usage: 20 MB
% 12.40/2.42 % (3555992)Instructions burned: 132 (million)
% 12.40/2.42 % (3555999)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3909545747:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 12.40/2.42 % (3555994)Instruction limit reached!
% 12.40/2.42 % (3555994)------------------------------
% 12.40/2.42 % (3555994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.42 % (3555994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.42 % (3555994)CaDiCaL version: 2.1.3
% 12.40/2.42 % (3555994)Termination reason: Instruction limit
% 12.40/2.42 % (3555994)Termination phase: Property scanning
% 12.40/2.42 % (3555994)Time elapsed: 0.102 s
% 12.40/2.42 % (3555994)Peak memory usage: 22 MB
% 12.40/2.42 % (3555994)Instructions burned: 182 (million)
% 12.40/2.42 % (3556001)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2924568371:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 12.40/2.42 % (3555999)Instruction limit reached!
% 12.40/2.42 % (3555999)------------------------------
% 12.40/2.42 % (3555999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.42 % (3555999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.42 % (3555999)CaDiCaL version: 2.1.3
% 12.40/2.42 % (3555999)Termination reason: Instruction limit
% 12.40/2.42 % (3555999)Termination phase: Property scanning
% 12.40/2.42 % (3555999)Time elapsed: 0.121 s
% 12.40/2.42 % (3555999)Peak memory usage: 23 MB
% 12.40/2.42 % (3555999)Instructions burned: 479 (million)
% 12.40/2.42 % (3556003)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=704339424:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 12.40/2.42 % (3555991)Instruction limit reached!
% 12.40/2.42 % (3555991)------------------------------
% 12.40/2.42 % (3555991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.42 % (3555991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.42 % (3555991)CaDiCaL version: 2.1.3
% 12.40/2.42 % (3555991)Termination reason: Instruction limit
% 12.40/2.42 % (3555991)Termination phase: Finite model building preprocessing
% 12.40/2.42 % (3555991)Time elapsed: 0.329 s
% 12.40/2.42 % (3555991)Peak memory usage: 25 MB
% 12.40/2.42 % (3555991)Instructions burned: 716 (million)
% 12.40/2.42 % (3555993)Instruction limit reached!
% 12.40/2.42 % (3555993)------------------------------
% 12.40/2.42 % (3555993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.42 % (3555993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.42 % (3555993)CaDiCaL version: 2.1.3
% 12.40/2.42 % (3555993)Termination reason: Instruction limit
% 12.40/2.42 % (3555993)Termination phase: Saturation
% 12.40/2.42 % (3555993)Time elapsed: 0.327 s
% 12.40/2.42 % (3555993)Peak memory usage: 25 MB
% 12.40/2.42 % (3555993)Instructions burned: 685 (million)
% 12.40/2.42 % (3556005)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2710477891:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 12.40/2.42 % (3556006)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2149955799:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 12.40/2.42 % (3556003)Instruction limit reached!
% 12.40/2.42 % (3556003)------------------------------
% 12.40/2.42 % (3556003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.42 % (3556003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.42 % (3556003)CaDiCaL version: 2.1.3
% 12.40/2.42 % (3556003)Termination reason: Instruction limit
% 12.40/2.42 % (3556003)Termination phase: Saturation
% 12.40/2.42 % (3556003)Time elapsed: 0.339 s
% 12.40/2.42 % (3556003)Peak memory usage: 30 MB
% 12.40/2.42 % (3556003)Instructions burned: 1182 (million)
% 12.40/2.42 % (3556001)Instruction limit reached!
% 12.40/2.42 % (3556001)------------------------------
% 12.40/2.42 % (3556001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.42 % (3556001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.42 % (3556001)CaDiCaL version: 2.1.3
% 12.40/2.42 % (3556001)Termination reason: Instruction limit
% 12.40/2.42 % (3556001)Termination phase: Finite model building preprocessing
% 12.40/2.42 % (3556001)Time elapsed: 0.404 s
% 12.40/2.42 % (3556001)Peak memory usage: 30 MB
% 12.40/2.42 % (3556001)Instructions burned: 867 (million)
% 12.40/2.42 % (3556009)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=902984062:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 12.40/2.42 % (3556011)fmb+10_1_sil=64000:random_seed=2292507371:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 12.40/2.42 % (3556006)Instruction limit reached!
% 12.40/2.42 % (3556006)------------------------------
% 12.40/2.42 % (3556006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.42 % (3556006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.42 % (3556006)CaDiCaL version: 2.1.3
% 12.40/2.42 % (3556006)Termination reason: Instruction limit
% 12.40/2.42 % (3556006)Termination phase: Saturation
% 12.40/2.42 % (3556006)Time elapsed: 0.344 s
% 12.40/2.42 % (3556006)Peak memory usage: 27 MB
% 12.40/2.42 % (3556006)Instructions burned: 693 (million)
% 12.40/2.42 % (3556013)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4059537096:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 12.40/2.42 % (3556005)Instruction limit reached!
% 12.40/2.42 % (3556005)------------------------------
% 12.40/2.42 % (3556005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.42 % (3556005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.42 % (3556005)CaDiCaL version: 2.1.3
% 12.40/2.42 % (3556005)Termination reason: Instruction limit
% 12.40/2.42 % (3556005)Termination phase: Finite model building preprocessing
% 12.40/2.42 % (3556005)Time elapsed: 0.417 s
% 12.40/2.42 % (3556005)Peak memory usage: 31 MB
% 12.40/2.42 % (3556005)Instructions burned: 890 (million)
% 12.40/2.42 % (3556009)Instruction limit reached!
% 12.40/2.42 % (3556009)------------------------------
% 12.40/2.42 % (3556009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.42 % (3556009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.42 % (3556009)CaDiCaL version: 2.1.3
% 12.40/2.42 % (3556009)Termination reason: Instruction limit
% 12.40/2.42 % (3556009)Termination phase: Saturation
% 12.40/2.42 % (3556009)Time elapsed: 0.230 s
% 12.40/2.42 % (3556009)Peak memory usage: 30 MB
% 12.40/2.42 % (3556009)Instructions burned: 879 (million)
% 12.40/2.42 % (3556016)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1201118336:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 12.40/2.42 % (3556015)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3505109019:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 12.40/2.42 % (3556015)Instruction limit reached!
% 12.40/2.42 % (3556015)------------------------------
% 12.40/2.42 % (3556015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.42 % (3556015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.42 % (3556015)CaDiCaL version: 2.1.3
% 12.40/2.42 % (3556015)Termination reason: Instruction limit
% 12.40/2.42 % (3556015)Termination phase: Finite model building preprocessing
% 12.40/2.42 % (3556015)Time elapsed: 0.430 s
% 12.40/2.42 % (3556015)Peak memory usage: 32 MB
% 12.40/2.42 % (3556015)Instructions burned: 922 (million)
% 12.40/2.42 % (3556019)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=521189043:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 12.40/2.42 % (3555979) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3555972-3555979"...
% 12.40/2.42 % (3556019)Instruction limit reached!
% 12.40/2.42 % (3556019)------------------------------
% 12.40/2.42 % (3556019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.42 % (3556019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.42 % (3556019)CaDiCaL version: 2.1.3
% 12.40/2.42 % (3556019)Termination reason: Instruction limit
% 12.40/2.42 % (3556019)Termination phase: Saturation
% 12.40/2.42 % (3556019)Time elapsed: 0.630 s
% 12.40/2.42 % (3556019)Peak memory usage: 28 MB
% 12.40/2.42 % (3556019)Instructions burned: 1474 (million)
% 12.40/2.42 % (3555979)...printing done.
% 12.40/2.42 % (3555979)Refutation found. Thanks to Tanya!
% 12.40/2.42 % SZS status Theorem for theBenchmark
% 12.40/2.42 % SZS output start Proof for theBenchmark
% See solution above
% 12.40/2.42 % (3555979)------------------------------
% 12.40/2.42 % (3555979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.42 % (3555979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.42 % (3555979)CaDiCaL version: 2.1.3
% 12.40/2.42 % (3555979)Termination reason: Refutation
% 12.40/2.42 % (3555979)Time elapsed: 1.958 s
% 12.40/2.42 % (3555979)Peak memory usage: 124 MB
% 12.40/2.42 % (3555979)Instructions burned: 3317 (million)
% 12.40/2.42 % (3555972)Success in time 2.178 s
% 12.40/2.42 % Vampire exiting
%------------------------------------------------------------------------------