%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU229+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 : 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 12:47:53 PM UTC 2026
% Result : Theorem 7.67s 2.06s
% Output : Refutation 7.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 41 ( 13 unt; 0 def)
% Number of atoms : 160 ( 89 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 195 ( 76 ~; 72 |; 43 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-4 aty)
% Number of variables : 125 ( 118 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,negated_conjecture,
! [X0,X1,X2,X3] :
( X3 = unordered_triple(X0,X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ~ ( X4 != X0
& X4 != X1
& X4 != X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_enumset1) ).
fof(f194,conjecture,
! [X0,X1,X2] :
~ ( in(X0,X1)
& in(X1,X2)
& in(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_ordinal1) ).
fof(f195,negated_conjecture,
~ ! [X0,X1,X2] :
~ ( in(X0,X1)
& in(X1,X2)
& in(X2,X0) ),
inference(negated_conjecture,[status(cth)],[f194]) ).
fof(f237,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& ! [X2] :
~ ( in(X2,X1)
& ! [X3] :
~ ( in(X3,X1)
& in(X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tarski) ).
fof(f253,plain,
! [X0,X1,X2,X3] :
( X3 = unordered_triple(X0,X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( X0 = X4
| X1 = X4
| X2 = X4 ) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f254,plain,
? [X0,X1,X2] :
( in(X0,X1)
& in(X1,X2)
& in(X2,X0) ),
inference(ennf_transformation,[],[f195]) ).
fof(f255,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ? [X2] :
( in(X2,X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,X2) ) ) ),
inference(ennf_transformation,[],[f237]) ).
fof(f258,plain,
! [X0,X1,X2,X3] :
( ( X3 = unordered_triple(X0,X1,X2)
| ? [X4] :
( ( ( X0 != X4
& X1 != X4
& X2 != X4 )
| ~ in(X4,X3) )
& ( X0 = X4
| X1 = X4
| X2 = X4
| in(X4,X3) ) ) )
& ( ! [X4] :
( ( in(X4,X3)
| ( X0 != X4
& X1 != X4
& X2 != X4 ) )
& ( X0 = X4
| X1 = X4
| X2 = X4
| ~ in(X4,X3) ) )
| unordered_triple(X0,X1,X2) != X3 ) ),
inference(nnf_transformation,[],[f253]) ).
fof(f259,plain,
! [X0,X1,X2,X3] :
( ( X3 = unordered_triple(X0,X1,X2)
| ? [X4] :
( ( ( X0 != X4
& X1 != X4
& X2 != X4 )
| ~ in(X4,X3) )
& ( X0 = X4
| X1 = X4
| X2 = X4
| in(X4,X3) ) ) )
& ( ! [X4] :
( ( in(X4,X3)
| ( X0 != X4
& X1 != X4
& X2 != X4 ) )
& ( X0 = X4
| X1 = X4
| X2 = X4
| ~ in(X4,X3) ) )
| unordered_triple(X0,X1,X2) != X3 ) ),
inference(flattening,[],[f258]) ).
fof(f260,plain,
! [X0,X1,X2,X3] :
( ( X3 = unordered_triple(X0,X1,X2)
| ? [X4] :
( ( ( X0 != X4
& X1 != X4
& X2 != X4 )
| ~ in(X4,X3) )
& ( X0 = X4
| X1 = X4
| X2 = X4
| in(X4,X3) ) ) )
& ( ! [X5] :
( ( in(X5,X3)
| ( X0 != X5
& X1 != X5
& X2 != X5 ) )
& ( X0 = X5
| X1 = X5
| X2 = X5
| ~ in(X5,X3) ) )
| unordered_triple(X0,X1,X2) != X3 ) ),
inference(rectify,[],[f259]) ).
fof(f261,plain,
! [X0,X1,X2,X3] :
( ( X3 = unordered_triple(X0,X1,X2)
| ( ( ( sK0(X0,X1,X2,X3) != X0
& sK0(X0,X1,X2,X3) != X1
& sK0(X0,X1,X2,X3) != X2 )
| ~ in(sK0(X0,X1,X2,X3),X3) )
& ( sK0(X0,X1,X2,X3) = X0
| sK0(X0,X1,X2,X3) = X1
| sK0(X0,X1,X2,X3) = X2
| in(sK0(X0,X1,X2,X3),X3) ) ) )
& ( ! [X5] :
( ( in(X5,X3)
| ( X0 != X5
& X1 != X5
& X2 != X5 ) )
& ( X0 = X5
| X1 = X5
| X2 = X5
| ~ in(X5,X3) ) )
| unordered_triple(X0,X1,X2) != X3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X4,sK0(X0,X1,X2,X3))],[f260]) ).
fof(f262,plain,
( in(sK1,sK2)
& in(sK2,sK3)
& in(sK3,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f254]) ).
fof(f263,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ( in(sK4(X1),X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,sK4(X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X1))],[f255]) ).
fof(f266,plain,
! [X2,X3,X0,X1,X5] :
( X0 = X5
| X1 = X5
| X2 = X5
| ~ in(X5,X3)
| unordered_triple(X0,X1,X2) != X3 ),
inference(cnf_transformation,[],[f261]) ).
fof(f267,plain,
! [X2,X3,X0,X1,X5] :
( in(X5,X3)
| X2 != X5
| unordered_triple(X0,X1,X2) != X3 ),
inference(cnf_transformation,[],[f261]) ).
fof(f268,plain,
! [X2,X3,X0,X1,X5] :
( in(X5,X3)
| X1 != X5
| unordered_triple(X0,X1,X2) != X3 ),
inference(cnf_transformation,[],[f261]) ).
fof(f269,plain,
! [X2,X3,X0,X1,X5] :
( in(X5,X3)
| X0 != X5
| unordered_triple(X0,X1,X2) != X3 ),
inference(cnf_transformation,[],[f261]) ).
fof(f274,plain,
in(sK3,sK1),
inference(cnf_transformation,[],[f262]) ).
fof(f275,plain,
in(sK2,sK3),
inference(cnf_transformation,[],[f262]) ).
fof(f276,plain,
in(sK1,sK2),
inference(cnf_transformation,[],[f262]) ).
fof(f277,plain,
! [X3,X0,X1] :
( ~ in(X0,X1)
| ~ in(X3,X1)
| ~ in(X3,sK4(X1)) ),
inference(cnf_transformation,[],[f263]) ).
fof(f278,plain,
! [X0,X1] :
( ~ in(X0,X1)
| in(sK4(X1),X1) ),
inference(cnf_transformation,[],[f263]) ).
fof(f282,plain,
! [X2,X3,X1,X5] :
( in(X5,X3)
| unordered_triple(X5,X1,X2) != X3 ),
inference(equality_resolution,[],[f269]) ).
fof(f283,plain,
! [X2,X1,X5] : in(X5,unordered_triple(X5,X1,X2)),
inference(equality_resolution,[],[f282]) ).
fof(f284,plain,
! [X2,X3,X0,X5] :
( in(X5,X3)
| unordered_triple(X0,X5,X2) != X3 ),
inference(equality_resolution,[],[f268]) ).
fof(f285,plain,
! [X2,X0,X5] : in(X5,unordered_triple(X0,X5,X2)),
inference(equality_resolution,[],[f284]) ).
fof(f286,plain,
! [X3,X0,X1,X5] :
( in(X5,X3)
| unordered_triple(X0,X1,X5) != X3 ),
inference(equality_resolution,[],[f267]) ).
fof(f287,plain,
! [X0,X1,X5] : in(X5,unordered_triple(X0,X1,X5)),
inference(equality_resolution,[],[f286]) ).
fof(f288,plain,
! [X2,X0,X1,X5] :
( ~ in(X5,unordered_triple(X0,X1,X2))
| X1 = X5
| X2 = X5
| X0 = X5 ),
inference(equality_resolution,[],[f266]) ).
fof(f289,plain,
! [X3,X1] :
( ~ in(X3,X1)
| ~ in(X3,sK4(X1)) ),
inference(condensation,[],[f277]) ).
fof(f316,plain,
! [X2,X0,X1] : ~ in(X0,sK4(unordered_triple(X0,X1,X2))),
inference(resolution,[],[f283,f289]) ).
fof(f317,plain,
! [X2,X0,X1] : in(sK4(unordered_triple(X0,X1,X2)),unordered_triple(X0,X1,X2)),
inference(resolution,[],[f283,f278]) ).
fof(f320,plain,
! [X2,X0,X1] : ~ in(X0,sK4(unordered_triple(X1,X0,X2))),
inference(resolution,[],[f285,f289]) ).
fof(f324,plain,
! [X2,X0,X1] : ~ in(X0,sK4(unordered_triple(X1,X2,X0))),
inference(resolution,[],[f287,f289]) ).
fof(f333,plain,
! [X2,X0,X1] :
( sK4(unordered_triple(X1,X0,X2)) = X2
| sK4(unordered_triple(X1,X0,X2)) = X0
| sK4(unordered_triple(X1,X0,X2)) = X1 ),
inference(resolution,[],[f288,f317]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ in(X1,X0)
| sK4(unordered_triple(X1,X2,X0)) = X2
| sK4(unordered_triple(X1,X2,X0)) = X1 ),
inference(superposition,[],[f316,f333]) ).
fof(f350,plain,
! [X0] :
( sK1 = sK4(unordered_triple(sK1,X0,sK2))
| sK4(unordered_triple(sK1,X0,sK2)) = X0 ),
inference(resolution,[],[f337,f276]) ).
fof(f363,plain,
! [X0] :
( ~ in(X0,sK1)
| sK4(unordered_triple(sK1,X0,sK2)) = X0 ),
inference(superposition,[],[f320,f350]) ).
fof(f378,plain,
sK3 = sK4(unordered_triple(sK1,sK3,sK2)),
inference(resolution,[],[f363,f274]) ).
fof(f388,plain,
~ in(sK2,sK3),
inference(superposition,[],[f324,f378]) ).
fof(f393,plain,
$false,
inference(resolution,[],[f388,f275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU229+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 04:14:12 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 5.92/1.86 % (3451714)Detected formulas, will run a generic FOF schedule.
% 5.92/1.86 % (3451725)dis-21_1_sil=8000:lcm=predicate:random_seed=3345738700: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)
% 5.92/1.86 % (3451725)Instruction limit reached!
% 5.92/1.86 % (3451725)------------------------------
% 5.92/1.86 % (3451725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.86 % (3451725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.86 % (3451725)CaDiCaL version: 2.1.3
% 5.92/1.86 % (3451725)Termination reason: Instruction limit
% 5.92/1.86 % (3451725)Termination phase: Saturation
% 5.92/1.86 % (3451725)Time elapsed: 0.034 s
% 5.92/1.86 % (3451725)Peak memory usage: 90 MB
% 5.92/1.86 % (3451725)Instructions burned: 132 (million)
% 5.92/1.86 % (3451719)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=3928089711:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.92/1.86 % (3451720)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=927224553:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.92/1.86 % (3451722)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3574366541:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.92/1.86 % (3451721)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=3946593761:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.92/1.86 % (3451723)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2414956098:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.92/1.86 % (3451724)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1110752115:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.92/1.86 % (3451722)Instruction limit reached!
% 5.92/1.86 % (3451722)------------------------------
% 5.92/1.86 % (3451722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.86 % (3451722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.86 % (3451722)CaDiCaL version: 2.1.3
% 5.92/1.86 % (3451722)Termination reason: Instruction limit
% 5.92/1.86 % (3451722)Termination phase: Saturation
% 5.92/1.86 % (3451722)Time elapsed: 0.070 s
% 5.92/1.86 % (3451722)Peak memory usage: 90 MB
% 5.92/1.86 % (3451722)Instructions burned: 110 (million)
% 5.92/1.86 % (3451723)Instruction limit reached!
% 5.92/1.86 % (3451723)------------------------------
% 5.92/1.86 % (3451723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.86 % (3451723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.86 % (3451723)CaDiCaL version: 2.1.3
% 5.92/1.86 % (3451723)Termination reason: Instruction limit
% 5.92/1.86 % (3451723)Termination phase: Saturation
% 5.92/1.86 % (3451723)Time elapsed: 0.081 s
% 5.92/1.86 % (3451723)Peak memory usage: 89 MB
% 5.92/1.86 % (3451723)Instructions burned: 120 (million)
% 5.92/1.86 % (3451733)lrs+10_1_sil=8000:sp=occurrence:random_seed=3607859884:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.92/1.86 % (3451724)Instruction limit reached!
% 5.92/1.86 % (3451724)------------------------------
% 5.92/1.86 % (3451724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.86 % (3451724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.86 % (3451724)CaDiCaL version: 2.1.3
% 5.92/1.86 % (3451724)Termination reason: Instruction limit
% 5.92/1.86 % (3451724)Termination phase: Saturation
% 5.92/1.86 % (3451724)Time elapsed: 0.101 s
% 5.92/1.86 % (3451724)Peak memory usage: 90 MB
% 5.92/1.86 % (3451724)Instructions burned: 140 (million)
% 5.92/1.86 % (3451733)Instruction limit reached!
% 5.92/1.86 % (3451733)------------------------------
% 5.92/1.86 % (3451733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.86 % (3451733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.86 % (3451733)CaDiCaL version: 2.1.3
% 5.92/1.86 % (3451733)Termination reason: Instruction limit
% 5.92/1.86 % (3451733)Termination phase: Saturation
% 5.92/1.86 % (3451733)Time elapsed: 0.104 s
% 5.92/1.86 % (3451733)Peak memory usage: 93 MB
% 5.92/1.86 % (3451733)Instructions burned: 287 (million)
% 5.92/1.86 % (3451735)lrs+1011_1_sil=32000:sp=occurrence:random_seed=600807475:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.92/1.86 % (3451734)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4020518167:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.92/1.86 % (3451734)Refutation not found, incomplete strategy
% 5.92/1.86 % (3451734)------------------------------
% 5.92/1.86 % (3451734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.86 % (3451734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.86 % (3451734)CaDiCaL version: 2.1.3
% 5.92/1.86 % (3451734)Termination reason: Refutation not found, incomplete strategy
% 5.92/1.86 % (3451734)Time elapsed: 0.003 s
% 5.92/1.86 % (3451734)Peak memory usage: 88 MB
% 5.92/1.86 % (3451734)Instructions burned: 3 (million)
% 5.92/1.86 % (3451737)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=1569350588:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.92/1.86 % (3451738)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2524267206:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.92/1.86 % (3451737)Instruction limit reached!
% 5.92/1.86 % (3451737)------------------------------
% 5.92/1.86 % (3451737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.86 % (3451737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.86 % (3451737)CaDiCaL version: 2.1.3
% 5.92/1.86 % (3451737)Termination reason: Instruction limit
% 5.92/1.86 % (3451737)Termination phase: Saturation
% 5.92/1.86 % (3451737)Time elapsed: 0.141 s
% 5.92/1.86 % (3451737)Peak memory usage: 93 MB
% 5.92/1.86 % (3451737)Instructions burned: 248 (million)
% 5.92/1.86 % (3451738)Instruction limit reached!
% 5.92/1.86 % (3451738)------------------------------
% 5.92/1.86 % (3451738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.86 % (3451738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.86 % (3451738)CaDiCaL version: 2.1.3
% 5.92/1.86 % (3451738)Termination reason: Instruction limit
% 5.92/1.86 % (3451738)Termination phase: Saturation
% 5.92/1.86 % (3451738)Time elapsed: 0.101 s
% 5.92/1.86 % (3451738)Peak memory usage: 91 MB
% 5.92/1.86 % (3451738)Instructions burned: 296 (million)
% 5.92/1.86 % (3451735)Instruction limit reached!
% 5.92/1.86 % (3451735)------------------------------
% 5.92/1.86 % (3451735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.86 % (3451735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.86 % (3451735)CaDiCaL version: 2.1.3
% 5.92/1.86 % (3451735)Termination reason: Instruction limit
% 5.92/1.86 % (3451735)Termination phase: Saturation
% 5.92/1.86 % (3451735)Time elapsed: 0.221 s
% 5.92/1.86 % (3451735)Peak memory usage: 92 MB
% 5.92/1.86 % (3451735)Instructions burned: 326 (million)
% 5.92/1.86 % (3451734)------------------------------
% 5.92/1.86 % (3451734)------------------------------
% 5.92/1.86 % (3451744)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3171010500:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.92/1.86 % (3451743)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3127703383:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.92/1.86 % (3451745)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3057405116:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.92/1.86 % (3451744)Instruction limit reached!
% 5.92/1.86 % (3451744)------------------------------
% 5.92/1.86 % (3451744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.86 % (3451744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.86 % (3451744)CaDiCaL version: 2.1.3
% 5.92/1.86 % (3451744)Termination reason: Instruction limit
% 5.92/1.86 % (3451744)Termination phase: Saturation
% 5.92/1.86 % (3451744)Time elapsed: 0.070 s
% 5.92/1.86 % (3451744)Peak memory usage: 90 MB
% 5.92/1.86 % (3451744)Instructions burned: 114 (million)
% 5.92/1.86 % (3451746)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1111949734:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 5.92/1.86 % (3451746)First to succeed.
% 5.92/1.86 % (3451746)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3451714"
% 7.67/2.06 % (3451745)Instruction limit reached!
% 7.67/2.06 % (3451745)------------------------------
% 7.67/2.06 % (3451745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/2.06 % (3451745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/2.06 % (3451745)CaDiCaL version: 2.1.3
% 7.67/2.06 % (3451745)Termination reason: Instruction limit
% 7.67/2.06 % (3451745)Termination phase: Saturation
% 7.67/2.06 % (3451745)Time elapsed: 0.068 s
% 7.67/2.06 % (3451745)Peak memory usage: 90 MB
% 7.67/2.06 % (3451745)Instructions burned: 127 (million)
% 7.67/2.06 % (3451750)lrs+10_1_sil=8000:sp=occurrence:random_seed=3799883993:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 7.67/2.06 % (3451752)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3384435140:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 7.67/2.06 % (3451746)Refutation found. Thanks to Tanya!
% 7.67/2.06 % SZS status Theorem for theBenchmark
% 7.67/2.06 % SZS output start Proof for theBenchmark
% See solution above
% 7.67/2.06 % (3451746)------------------------------
% 7.67/2.06 % (3451746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.67/2.06 % (3451746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/2.06 % (3451746)CaDiCaL version: 2.1.3
% 7.67/2.06 % (3451746)Termination reason: Refutation
% 7.67/2.06 % (3451746)Time elapsed: 0.007 s
% 7.67/2.06 % (3451746)Peak memory usage: 89 MB
% 7.67/2.06 % (3451746)Instructions burned: 10 (million)
% 7.67/2.06 % (3451746)------------------------------
% 7.67/2.06 % (3451746)------------------------------
% 7.67/2.06 % (3451714)Success in time 1 s
% 7.67/2.06 % Vampire exiting
%------------------------------------------------------------------------------