%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU159+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:47:29 PM UTC 2026
% Result : Theorem 7.24s 2.02s
% Output : Refutation 7.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 72 ( 7 unt; 5 def)
% Number of atoms : 239 ( 60 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 267 ( 100 ~; 119 |; 35 &)
% ( 11 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 88 ( 0 sgn 74 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1,X2] :
( X2 = unordered_pair(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( X3 = X0
| X3 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
fof(f13,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f68,conjecture,
! [X0,X1,X2] :
( subset(unordered_pair(X0,X1),X2)
<=> ( in(X0,X2)
& in(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_zfmisc_1) ).
fof(f69,negated_conjecture,
~ ! [X0,X1,X2] :
( subset(unordered_pair(X0,X1),X2)
<=> ( in(X0,X2)
& in(X1,X2) ) ),
inference(negated_conjecture,[status(cth)],[f68]) ).
fof(f92,plain,
? [X0,X1,X2] :
( subset(unordered_pair(X0,X1),X2)
<~> ( in(X0,X2)
& in(X1,X2) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f97,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f101,plain,
? [X0,X1,X2] :
( ( ~ in(X0,X2)
| ~ in(X1,X2)
| ~ subset(unordered_pair(X0,X1),X2) )
& ( ( in(X0,X2)
& in(X1,X2) )
| subset(unordered_pair(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f102,plain,
? [X0,X1,X2] :
( ( ~ in(X0,X2)
| ~ in(X1,X2)
| ~ subset(unordered_pair(X0,X1),X2) )
& ( ( in(X0,X2)
& in(X1,X2) )
| subset(unordered_pair(X0,X1),X2) ) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
( ( ~ in(sK0,sK2)
| ~ in(sK1,sK2)
| ~ subset(unordered_pair(sK0,sK1),sK2) )
& ( ( in(sK0,sK2)
& in(sK1,sK2) )
| subset(unordered_pair(sK0,sK1),sK2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f102]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ( X2 = unordered_pair(X0,X1)
| ? [X3] :
( ( ( X0 != X3
& X1 != X3 )
| ~ in(X3,X2) )
& ( X3 = X0
| X3 = X1
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( X0 != X3
& X1 != X3 ) )
& ( X3 = X0
| X3 = X1
| ~ in(X3,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ( X2 = unordered_pair(X0,X1)
| ? [X3] :
( ( ( X0 != X3
& X1 != X3 )
| ~ in(X3,X2) )
& ( X3 = X0
| X3 = X1
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( X0 != X3
& X1 != X3 ) )
& ( X3 = X0
| X3 = X1
| ~ in(X3,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ( X2 = unordered_pair(X0,X1)
| ? [X3] :
( ( ( X0 != X3
& X1 != X3 )
| ~ in(X3,X2) )
& ( X3 = X0
| X3 = X1
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( X0 != X4
& X1 != X4 ) )
& ( X0 = X4
| X1 = X4
| ~ in(X4,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ( X2 = unordered_pair(X0,X1)
| ( ( ( sK3(X0,X1,X2) != X0
& sK3(X0,X1,X2) != X1 )
| ~ in(sK3(X0,X1,X2),X2) )
& ( sK3(X0,X1,X2) = X0
| sK3(X0,X1,X2) = X1
| in(sK3(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( X0 != X4
& X1 != X4 ) )
& ( X0 = X4
| X1 = X4
| ~ in(X4,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f106]) ).
fof(f110,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f97]) ).
fof(f111,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f110]) ).
fof(f112,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK5(X0,X1),X1)
& in(sK5(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f111]) ).
fof(f115,plain,
( in(sK1,sK2)
| subset(unordered_pair(sK0,sK1),sK2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f116,plain,
( in(sK0,sK2)
| subset(unordered_pair(sK0,sK1),sK2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f117,plain,
( ~ in(sK0,sK2)
| ~ in(sK1,sK2)
| ~ subset(unordered_pair(sK0,sK1),sK2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f122,plain,
! [X2,X0,X1,X4] :
( X0 = X4
| X1 = X4
| ~ in(X4,X2)
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f107]) ).
fof(f123,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| X1 != X4
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f107]) ).
fof(f124,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| X0 != X4
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f107]) ).
fof(f131,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f132,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK5(X0,X1),X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f133,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f142,plain,
! [X2,X1,X4] :
( in(X4,X2)
| unordered_pair(X4,X1) != X2 ),
inference(equality_resolution,[],[f124]) ).
fof(f143,plain,
! [X1,X4] : in(X4,unordered_pair(X4,X1)),
inference(equality_resolution,[],[f142]) ).
fof(f144,plain,
! [X2,X0,X4] :
( in(X4,X2)
| unordered_pair(X0,X4) != X2 ),
inference(equality_resolution,[],[f123]) ).
fof(f145,plain,
! [X0,X4] : in(X4,unordered_pair(X0,X4)),
inference(equality_resolution,[],[f144]) ).
fof(f146,plain,
! [X0,X1,X4] :
( X0 = X4
| X1 = X4
| ~ in(X4,unordered_pair(X0,X1)) ),
inference(equality_resolution,[],[f122]) ).
fof(f150,definition,
( spl6_1
<=> subset(unordered_pair(sK0,sK1),sK2) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f151,plain,
( ~ subset(unordered_pair(sK0,sK1),sK2)
| spl6_1 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f152,plain,
( subset(unordered_pair(sK0,sK1),sK2)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f154,definition,
( spl6_2
<=> in(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f155,plain,
( ~ in(sK1,sK2)
| spl6_2 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f157,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f115,f154,f150]) ).
fof(f173,definition,
( spl6_3
<=> in(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f174,plain,
( ~ in(sK0,sK2)
| spl6_3 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f176,plain,
( spl6_1
| spl6_3 ),
inference(avatar_split_clause,[],[f116,f173,f150]) ).
fof(f179,plain,
( ! [X0] :
( in(X0,sK2)
| ~ in(X0,unordered_pair(sK0,sK1)) )
| ~ spl6_1 ),
inference(resolution,[],[f152,f131]) ).
fof(f339,plain,
( ~ spl6_1
| ~ spl6_2
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f117,f173,f154,f150]) ).
fof(f340,plain,
( ~ in(sK0,unordered_pair(sK0,sK1))
| ~ spl6_1
| spl6_3 ),
inference(resolution,[],[f174,f179]) ).
fof(f342,plain,
( $false
| ~ spl6_1
| spl6_3 ),
inference(resolution,[],[f340,f143]) ).
fof(f347,plain,
( ~ spl6_1
| spl6_3 ),
inference(avatar_contradiction_clause,[],[f342]) ).
fof(f348,plain,
( ~ in(sK1,unordered_pair(sK0,sK1))
| ~ spl6_1
| spl6_2 ),
inference(resolution,[],[f155,f179]) ).
fof(f354,plain,
( $false
| ~ spl6_1
| spl6_2 ),
inference(resolution,[],[f348,f145]) ).
fof(f359,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f364,plain,
( in(sK5(unordered_pair(sK0,sK1),sK2),unordered_pair(sK0,sK1))
| spl6_1 ),
inference(resolution,[],[f151,f132]) ).
fof(f365,plain,
( ~ in(sK5(unordered_pair(sK0,sK1),sK2),sK2)
| spl6_1 ),
inference(resolution,[],[f151,f133]) ).
fof(f443,plain,
( sK0 = sK5(unordered_pair(sK0,sK1),sK2)
| sK1 = sK5(unordered_pair(sK0,sK1),sK2)
| spl6_1 ),
inference(resolution,[],[f364,f146]) ).
fof(f2615,definition,
( spl6_20
<=> sK1 = sK5(unordered_pair(sK0,sK1),sK2) ),
introduced(definition,[new_symbols(definition,[spl6_20])],[avatar_definition]) ).
fof(f2617,plain,
( sK1 = sK5(unordered_pair(sK0,sK1),sK2)
| ~ spl6_20 ),
inference(avatar_component_clause,[],[f2615]) ).
fof(f2619,definition,
( spl6_21
<=> sK0 = sK5(unordered_pair(sK0,sK1),sK2) ),
introduced(definition,[new_symbols(definition,[spl6_21])],[avatar_definition]) ).
fof(f2621,plain,
( sK0 = sK5(unordered_pair(sK0,sK1),sK2)
| ~ spl6_21 ),
inference(avatar_component_clause,[],[f2619]) ).
fof(f2622,plain,
( spl6_20
| spl6_21
| spl6_1 ),
inference(avatar_split_clause,[],[f443,f150,f2619,f2615]) ).
fof(f2630,plain,
( ~ in(sK0,sK2)
| spl6_1
| ~ spl6_21 ),
inference(superposition,[],[f365,f2621]) ).
fof(f2639,plain,
( ~ spl6_3
| spl6_1
| ~ spl6_21 ),
inference(avatar_split_clause,[],[f2630,f2619,f150,f173]) ).
fof(f2647,plain,
( ~ in(sK1,sK2)
| spl6_1
| ~ spl6_20 ),
inference(superposition,[],[f365,f2617]) ).
fof(f2656,plain,
( ~ spl6_2
| spl6_1
| ~ spl6_20 ),
inference(avatar_split_clause,[],[f2647,f2615,f150,f154]) ).
cnf(s1,plain,
( spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f157]) ).
cnf(s2,plain,
( spl6_1
| spl6_3 ),
inference(sat_conversion,[],[f176]) ).
cnf(s4,plain,
( ~ spl6_1
| ~ spl6_2
| ~ spl6_3 ),
inference(sat_conversion,[],[f339]) ).
cnf(s5,plain,
( ~ spl6_1
| spl6_3 ),
inference(sat_conversion,[],[f347]) ).
cnf(s6,plain,
( ~ spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f359]) ).
cnf(s19,plain,
( spl6_1
| spl6_20
| spl6_21 ),
inference(sat_conversion,[],[f2622]) ).
cnf(s20,plain,
( spl6_1
| ~ spl6_3
| ~ spl6_21 ),
inference(sat_conversion,[],[f2639]) ).
cnf(s21,plain,
( spl6_1
| ~ spl6_2
| ~ spl6_20 ),
inference(sat_conversion,[],[f2656]) ).
cnf(s22,plain,
spl6_1,
inference(rat,[],[s19,s21,s20,s1,s2]) ).
cnf(s23,plain,
spl6_2,
inference(rat,[],[s6,s22]) ).
cnf(s24,plain,
spl6_3,
inference(rat,[],[s5,s22]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s4,s24,s23,s22]) ).
fof(f2657,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU159+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n004.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 03:48:37 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.03/1.81 % (4131197)Detected formulas, will run a generic FOF schedule.
% 6.03/1.81 % (4131208)dis-21_1_sil=8000:lcm=predicate:random_seed=3553614916: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)
% 6.03/1.81 % (4131206)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=43993131:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.03/1.81 % (4131203)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=2339868845:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.03/1.81 % (4131204)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=134919711:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.03/1.81 % (4131205)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3499336738:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.03/1.81 % (4131202)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=2000259659:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.03/1.81 % (4131207)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2133847147:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.03/1.81 % (4131208)Instruction limit reached!
% 6.03/1.81 % (4131208)------------------------------
% 6.03/1.81 % (4131208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.81 % (4131208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.81 % (4131208)CaDiCaL version: 2.1.3
% 6.03/1.81 % (4131208)Termination reason: Instruction limit
% 6.03/1.81 % (4131208)Termination phase: Saturation
% 6.03/1.81 % (4131208)Time elapsed: 0.046 s
% 6.03/1.81 % (4131208)Peak memory usage: 89 MB
% 6.03/1.81 % (4131208)Instructions burned: 132 (million)
% 6.03/1.81 % (4131205)Instruction limit reached!
% 6.03/1.81 % (4131205)------------------------------
% 6.03/1.81 % (4131205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.81 % (4131205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.81 % (4131205)CaDiCaL version: 2.1.3
% 6.03/1.81 % (4131205)Termination reason: Instruction limit
% 6.03/1.81 % (4131205)Termination phase: Saturation
% 6.03/1.81 % (4131205)Time elapsed: 0.070 s
% 6.03/1.81 % (4131205)Peak memory usage: 89 MB
% 6.03/1.81 % (4131205)Instructions burned: 110 (million)
% 6.03/1.81 % (4131206)Instruction limit reached!
% 6.03/1.81 % (4131206)------------------------------
% 6.03/1.81 % (4131206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.81 % (4131206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.81 % (4131206)CaDiCaL version: 2.1.3
% 6.03/1.81 % (4131206)Termination reason: Instruction limit
% 6.03/1.81 % (4131206)Termination phase: Saturation
% 6.03/1.81 % (4131206)Time elapsed: 0.074 s
% 6.03/1.81 % (4131206)Peak memory usage: 88 MB
% 6.03/1.81 % (4131206)Instructions burned: 119 (million)
% 6.03/1.81 % (4131207)Instruction limit reached!
% 6.03/1.81 % (4131207)------------------------------
% 6.03/1.81 % (4131207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.81 % (4131207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.81 % (4131207)CaDiCaL version: 2.1.3
% 6.03/1.81 % (4131207)Termination reason: Instruction limit
% 6.03/1.81 % (4131207)Termination phase: Saturation
% 6.03/1.81 % (4131207)Time elapsed: 0.095 s
% 6.03/1.81 % (4131207)Peak memory usage: 90 MB
% 6.03/1.81 % (4131207)Instructions burned: 140 (million)
% 6.03/1.81 % (4131216)lrs+10_1_sil=8000:sp=occurrence:random_seed=3454216741:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.03/1.81 % (4131217)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4196788818:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.03/1.81 % (4131218)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2611462854:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.03/1.81 % (4131219)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=3726305587:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.03/1.81 % (4131216)Instruction limit reached!
% 6.03/1.81 % (4131216)------------------------------
% 6.03/1.81 % (4131216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.81 % (4131216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.81 % (4131216)CaDiCaL version: 2.1.3
% 6.03/1.81 % (4131216)Termination reason: Instruction limit
% 6.03/1.81 % (4131216)Termination phase: Saturation
% 6.03/1.81 % (4131216)Time elapsed: 0.102 s
% 6.03/1.81 % (4131216)Peak memory usage: 92 MB
% 6.03/1.81 % (4131216)Instructions burned: 286 (million)
% 6.03/1.81 % (4131217)Instruction limit reached!
% 6.03/1.81 % (4131217)------------------------------
% 6.03/1.81 % (4131217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.81 % (4131217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.81 % (4131217)CaDiCaL version: 2.1.3
% 6.03/1.81 % (4131217)Termination reason: Instruction limit
% 6.03/1.81 % (4131217)Termination phase: Saturation
% 6.03/1.81 % (4131217)Time elapsed: 0.099 s
% 6.03/1.81 % (4131217)Peak memory usage: 90 MB
% 6.03/1.81 % (4131217)Instructions burned: 158 (million)
% 6.03/1.81 % (4131224)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=891755097:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.03/1.81 % (4131219)Instruction limit reached!
% 6.03/1.81 % (4131219)------------------------------
% 6.03/1.81 % (4131219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.81 % (4131219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.81 % (4131219)CaDiCaL version: 2.1.3
% 6.03/1.81 % (4131219)Termination reason: Instruction limit
% 6.03/1.81 % (4131219)Termination phase: Saturation
% 6.03/1.81 % (4131219)Time elapsed: 0.136 s
% 6.03/1.81 % (4131219)Peak memory usage: 91 MB
% 6.03/1.81 % (4131219)Instructions burned: 248 (million)
% 6.03/1.81 % (4131218)Instruction limit reached!
% 6.03/1.81 % (4131218)------------------------------
% 6.03/1.81 % (4131218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.81 % (4131218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.81 % (4131218)CaDiCaL version: 2.1.3
% 6.03/1.81 % (4131218)Termination reason: Instruction limit
% 6.03/1.81 % (4131218)Termination phase: Saturation
% 6.03/1.81 % (4131218)Time elapsed: 0.227 s
% 6.03/1.81 % (4131218)Peak memory usage: 91 MB
% 6.03/1.81 % (4131218)Instructions burned: 326 (million)
% 6.03/1.81 % (4131224)Instruction limit reached!
% 6.03/1.81 % (4131224)------------------------------
% 6.03/1.81 % (4131224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.81 % (4131224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.81 % (4131224)CaDiCaL version: 2.1.3
% 6.03/1.81 % (4131224)Termination reason: Instruction limit
% 6.03/1.81 % (4131224)Termination phase: Saturation
% 6.03/1.81 % (4131224)Time elapsed: 0.098 s
% 6.03/1.81 % (4131224)Peak memory usage: 90 MB
% 6.03/1.81 % (4131224)Instructions burned: 297 (million)
% 6.03/1.81 % (4131225)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=13017013:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.03/1.81 % (4131227)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=542108373:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.03/1.81 % (4131229)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3506863074:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.03/1.81 % (4131228)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=856550514:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.03/1.81 % (4131227)Instruction limit reached!
% 6.03/1.81 % (4131227)------------------------------
% 6.03/1.81 % (4131227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/1.81 % (4131227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/1.81 % (4131227)CaDiCaL version: 2.1.3
% 6.03/1.81 % (4131227)Termination reason: Instruction limit
% 6.03/1.81 % (4131227)Termination phase: Saturation
% 6.03/1.81 % (4131227)Time elapsed: 0.066 s
% 6.03/1.81 % (4131227)Peak memory usage: 89 MB
% 6.03/1.81 % (4131227)Instructions burned: 114 (million)
% 6.03/1.81 % (4131229)First to succeed.
% 6.03/1.81 % (4131229)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4131197"
% 6.03/1.81 % (4131203)Also succeeded, but the first one will report.
% 6.03/1.81 % (4131202)Also succeeded, but the first one will report.
% 7.24/2.02 % (4131228)Instruction limit reached!
% 7.24/2.02 % (4131228)------------------------------
% 7.24/2.02 % (4131228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.24/2.02 % (4131228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/2.02 % (4131228)CaDiCaL version: 2.1.3
% 7.24/2.02 % (4131228)Termination reason: Instruction limit
% 7.24/2.02 % (4131228)Termination phase: Saturation
% 7.24/2.02 % (4131228)Time elapsed: 0.065 s
% 7.24/2.02 % (4131228)Peak memory usage: 89 MB
% 7.24/2.02 % (4131228)Instructions burned: 127 (million)
% 7.24/2.02 % (4131234)lrs+10_1_sil=8000:sp=occurrence:random_seed=2385288852:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 7.24/2.02 % (4131229)Refutation found. Thanks to Tanya!
% 7.24/2.02 % SZS status Theorem for theBenchmark
% 7.24/2.02 % SZS output start Proof for theBenchmark
% See solution above
% 7.24/2.02 % (4131229)------------------------------
% 7.24/2.02 % (4131229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.24/2.02 % (4131229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/2.02 % (4131229)CaDiCaL version: 2.1.3
% 7.24/2.02 % (4131229)Termination reason: Refutation
% 7.24/2.02 % (4131229)Time elapsed: 0.033 s
% 7.24/2.02 % (4131229)Peak memory usage: 90 MB
% 7.24/2.02 % (4131229)Instructions burned: 101 (million)
% 7.24/2.02 % (4131229)------------------------------
% 7.24/2.02 % (4131229)------------------------------
% 7.24/2.02 % (4131197)Success in time 0.95 s
% 7.24/2.02 % Vampire exiting
%------------------------------------------------------------------------------