%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU229+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 5.07s 1.62s
% Output : Refutation 6.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 6
% Syntax : Number of formulae : 78 ( 16 unt; 2 def)
% Number of atoms : 253 ( 130 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 282 ( 107 ~; 125 |; 43 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-4 aty)
% Number of variables : 156 ( 0 sgn 149 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( X3 = unordered_triple(X0,X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ~ ( X4 != X0
& X4 != X1
& X4 != X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_enumset1) ).
fof(f22,conjecture,
! [X0,X1,X2] :
~ ( in(X0,X1)
& in(X1,X2)
& in(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_ordinal1) ).
fof(f23,negated_conjecture,
~ ! [X0,X1,X2] :
~ ( in(X0,X1)
& in(X1,X2)
& in(X2,X0) ),
inference(negated_conjecture,[status(cth)],[f22]) ).
fof(f26,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& ! [X2] :
~ ( in(X2,X1)
& ! [X3] :
~ ( in(X3,X1)
& in(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tarski) ).
fof(f34,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( X3 = unordered_triple(X0,X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( X0 = X4
| X1 = X4
| X2 = X4 ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f43,plain,
? [X0,X1,X2] :
( in(X0,X1)
& in(X1,X2)
& in(X2,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f46,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ? [X2] :
( in(X2,X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,X2) ) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f48,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,[],[f39]) ).
fof(f49,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,[],[f48]) ).
fof(f50,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,[],[f49]) ).
fof(f51,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))],[f50]) ).
fof(f63,plain,
( in(sK12,sK13)
& in(sK13,sK14)
& in(sK14,sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14)],[f43]) ).
fof(f64,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ( in(sK15(X1),X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,sK15(X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X2,sK15(X1))],[f46]) ).
fof(f65,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f70,plain,
! [X2,X3,X0,X1,X5] :
( X0 = X5
| X1 = X5
| X2 = X5
| ~ in(X5,X3)
| unordered_triple(X0,X1,X2) != X3 ),
inference(cnf_transformation,[],[f51]) ).
fof(f71,plain,
! [X2,X3,X0,X1,X5] :
( in(X5,X3)
| X2 != X5
| unordered_triple(X0,X1,X2) != X3 ),
inference(cnf_transformation,[],[f51]) ).
fof(f72,plain,
! [X2,X3,X0,X1,X5] :
( in(X5,X3)
| X1 != X5
| unordered_triple(X0,X1,X2) != X3 ),
inference(cnf_transformation,[],[f51]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X5] :
( in(X5,X3)
| X0 != X5
| unordered_triple(X0,X1,X2) != X3 ),
inference(cnf_transformation,[],[f51]) ).
fof(f104,plain,
in(sK14,sK12),
inference(cnf_transformation,[],[f63]) ).
fof(f105,plain,
in(sK13,sK14),
inference(cnf_transformation,[],[f63]) ).
fof(f106,plain,
in(sK12,sK13),
inference(cnf_transformation,[],[f63]) ).
fof(f109,plain,
! [X3,X0,X1] :
( ~ in(X3,sK15(X1))
| ~ in(X3,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f110,plain,
! [X0,X1] :
( ~ in(X0,X1)
| in(sK15(X1),X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f112,plain,
! [X2,X3,X1,X5] :
( in(X5,X3)
| unordered_triple(X5,X1,X2) != X3 ),
inference(equality_resolution,[],[f73]) ).
fof(f113,plain,
! [X2,X1,X5] : in(X5,unordered_triple(X5,X1,X2)),
inference(equality_resolution,[],[f112]) ).
fof(f114,plain,
! [X2,X3,X0,X5] :
( in(X5,X3)
| unordered_triple(X0,X5,X2) != X3 ),
inference(equality_resolution,[],[f72]) ).
fof(f115,plain,
! [X2,X0,X5] : in(X5,unordered_triple(X0,X5,X2)),
inference(equality_resolution,[],[f114]) ).
fof(f116,plain,
! [X3,X0,X1,X5] :
( in(X5,X3)
| unordered_triple(X0,X1,X5) != X3 ),
inference(equality_resolution,[],[f71]) ).
fof(f117,plain,
! [X0,X1,X5] : in(X5,unordered_triple(X0,X1,X5)),
inference(equality_resolution,[],[f116]) ).
fof(f118,plain,
! [X2,X0,X1,X5] :
( ~ in(X5,unordered_triple(X0,X1,X2))
| X1 = X5
| X2 = X5
| X0 = X5 ),
inference(equality_resolution,[],[f70]) ).
fof(f124,plain,
! [X2,X0,X1] : in(sK15(unordered_triple(X0,X1,X2)),unordered_triple(X0,X1,X2)),
inference(resolution,[],[f110,f113]) ).
fof(f131,plain,
~ in(sK13,sK12),
inference(resolution,[],[f65,f106]) ).
fof(f133,plain,
~ in(sK12,sK14),
inference(resolution,[],[f65,f104]) ).
fof(f140,plain,
! [X2,X0,X1] :
( sK15(unordered_triple(X1,X0,X2)) = X0
| sK15(unordered_triple(X1,X0,X2)) = X2
| sK15(unordered_triple(X1,X0,X2)) = X1 ),
inference(resolution,[],[f124,f118]) ).
fof(f145,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(X4,unordered_triple(X2,X0,X3))
| ~ in(X1,unordered_triple(X2,X0,X3))
| ~ in(X1,X0)
| sK15(unordered_triple(X2,X0,X3)) = X3
| sK15(unordered_triple(X2,X0,X3)) = X2 ),
inference(superposition,[],[f109,f140]) ).
fof(f147,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(X4,unordered_triple(X2,X3,X0))
| ~ in(X1,unordered_triple(X2,X3,X0))
| ~ in(X1,X0)
| sK15(unordered_triple(X2,X3,X0)) = X3
| sK15(unordered_triple(X2,X3,X0)) = X2 ),
inference(superposition,[],[f109,f140]) ).
fof(f149,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(X4,unordered_triple(X0,X2,X3))
| ~ in(X1,unordered_triple(X0,X2,X3))
| ~ in(X1,X0)
| sK15(unordered_triple(X0,X2,X3)) = X2
| sK15(unordered_triple(X0,X2,X3)) = X3 ),
inference(superposition,[],[f109,f140]) ).
fof(f159,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,unordered_triple(X1,X2,X3))
| ~ in(X0,X1)
| sK15(unordered_triple(X1,X2,X3)) = X2
| sK15(unordered_triple(X1,X2,X3)) = X3 ),
inference(resolution,[],[f149,f124]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ in(X0,X1)
| sK15(unordered_triple(X1,X0,X2)) = X0
| sK15(unordered_triple(X1,X0,X2)) = X2 ),
inference(resolution,[],[f159,f115]) ).
fof(f167,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,unordered_triple(X1,X2,X3))
| ~ in(X0,X2)
| sK15(unordered_triple(X1,X2,X3)) = X3
| sK15(unordered_triple(X1,X2,X3)) = X1 ),
inference(resolution,[],[f145,f124]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ in(X0,X1)
| sK15(unordered_triple(X2,X1,X0)) = X0
| sK15(unordered_triple(X2,X1,X0)) = X2 ),
inference(resolution,[],[f167,f117]) ).
fof(f175,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,unordered_triple(X1,X2,X3))
| ~ in(X0,X3)
| sK15(unordered_triple(X1,X2,X3)) = X2
| sK15(unordered_triple(X1,X2,X3)) = X1 ),
inference(resolution,[],[f147,f124]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ in(X0,X1)
| sK15(unordered_triple(X0,X2,X1)) = X2
| sK15(unordered_triple(X0,X2,X1)) = X0 ),
inference(resolution,[],[f175,f113]) ).
fof(f222,plain,
! [X0] :
( sK14 = sK15(unordered_triple(sK12,sK14,X0))
| sK15(unordered_triple(sK12,sK14,X0)) = X0 ),
inference(resolution,[],[f161,f104]) ).
fof(f236,plain,
! [X0] :
( sK14 != X0
| sK15(unordered_triple(sK12,sK14,X0)) = X0 ),
inference(equality_factoring,[],[f222]) ).
fof(f274,definition,
( spl16_2
<=> sK13 = sK14 ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f275,plain,
( sK13 != sK14
| spl16_2 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f276,plain,
( sK13 = sK14
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f281,plain,
( in(sK13,sK12)
| ~ spl16_2 ),
inference(superposition,[],[f104,f276]) ).
fof(f294,plain,
( $false
| ~ spl16_2 ),
inference(forward_subsumption_resolution,[],[f281,f131]) ).
fof(f295,plain,
~ spl16_2,
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f311,definition,
( spl16_4
<=> sK12 = sK14 ),
introduced(definition,[new_symbols(definition,[spl16_4])],[avatar_definition]) ).
fof(f312,plain,
( sK12 != sK14
| spl16_4 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f313,plain,
( sK12 = sK14
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f317,plain,
( in(sK13,sK12)
| ~ spl16_4 ),
inference(superposition,[],[f105,f313]) ).
fof(f331,plain,
( $false
| ~ spl16_4 ),
inference(forward_subsumption_resolution,[],[f317,f131]) ).
fof(f332,plain,
~ spl16_4,
inference(avatar_contradiction_clause,[],[f331]) ).
fof(f344,plain,
! [X0] :
( sK15(unordered_triple(sK12,X0,sK13)) = X0
| sK12 = sK15(unordered_triple(sK12,X0,sK13)) ),
inference(resolution,[],[f178,f106]) ).
fof(f400,plain,
! [X0] :
( sK13 = sK15(unordered_triple(X0,sK14,sK13))
| sK15(unordered_triple(X0,sK14,sK13)) = X0 ),
inference(resolution,[],[f168,f105]) ).
fof(f408,plain,
( sK12 = sK14
| sK13 = sK14
| sK13 = sK15(unordered_triple(sK12,sK14,sK13)) ),
inference(superposition,[],[f400,f222]) ).
fof(f411,plain,
( sK13 = sK14
| sK12 = sK13
| sK12 = sK15(unordered_triple(sK12,sK14,sK13)) ),
inference(superposition,[],[f344,f400]) ).
fof(f415,plain,
! [X0] :
( sK13 != X0
| sK15(unordered_triple(X0,sK14,sK13)) = X0 ),
inference(equality_factoring,[],[f400]) ).
fof(f417,plain,
( sK13 = sK14
| sK12 = sK15(unordered_triple(sK12,sK14,sK13)) ),
inference(forward_subsumption_resolution,[],[f411,f415]) ).
fof(f419,plain,
( sK12 = sK14
| sK13 = sK15(unordered_triple(sK12,sK14,sK13)) ),
inference(forward_subsumption_resolution,[],[f408,f236]) ).
fof(f423,plain,
( sK12 = sK15(unordered_triple(sK12,sK14,sK13))
| spl16_2 ),
inference(forward_subsumption_resolution,[],[f417,f275]) ).
fof(f425,plain,
( sK13 = sK15(unordered_triple(sK12,sK14,sK13))
| spl16_4 ),
inference(forward_subsumption_resolution,[],[f419,f312]) ).
fof(f429,plain,
( sK12 = sK13
| spl16_2
| spl16_4 ),
inference(forward_demodulation,[],[f425,f423]) ).
fof(f431,plain,
( in(sK12,sK14)
| spl16_2
| spl16_4 ),
inference(superposition,[],[f105,f429]) ).
fof(f451,plain,
( $false
| spl16_2
| spl16_4 ),
inference(forward_subsumption_resolution,[],[f431,f133]) ).
fof(f452,plain,
( spl16_2
| spl16_4 ),
inference(avatar_contradiction_clause,[],[f451]) ).
cnf(s5,plain,
~ spl16_2,
inference(sat_conversion,[],[f295]) ).
cnf(s8,plain,
~ spl16_4,
inference(sat_conversion,[],[f332]) ).
cnf(s9,plain,
( spl16_2
| spl16_4 ),
inference(sat_conversion,[],[f452]) ).
cnf(s10,plain,
spl16_2,
inference(rat,[],[s9,s8]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s5,s10]) ).
fof(f453,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU229+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n003.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon Sep 28 04:13:26 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 5.07/1.62 % (1180325)Detected formulas, will run a generic FOF schedule.
% 5.07/1.62 % (1180330)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=2592418726:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.07/1.62 % (1180334)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3667598646:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.07/1.62 % (1180332)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=1678803755:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.07/1.62 % (1180333)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3268197413:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.07/1.62 % (1180335)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3577070821:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.07/1.62 % (1180331)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=2497991406:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.07/1.62 % (1180336)dis-21_1_sil=8000:lcm=predicate:random_seed=850380799: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)
% 5.07/1.62 % (1180333)Refutation not found, incomplete strategy
% 5.07/1.62 % (1180333)------------------------------
% 5.07/1.62 % (1180333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.62 % (1180333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.62 % (1180333)CaDiCaL version: 2.1.3
% 5.07/1.62 % (1180333)Termination reason: Refutation not found, incomplete strategy
% 5.07/1.62 % (1180333)Time elapsed: 0.001 s
% 5.07/1.62 % (1180334)Refutation not found, incomplete strategy
% 5.07/1.62 % (1180334)------------------------------
% 5.07/1.62 % (1180334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.62 % (1180333)Peak memory usage: 88 MB
% 5.07/1.62 % (1180334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.62 % (1180334)CaDiCaL version: 2.1.3
% 5.07/1.62 % (1180334)Termination reason: Refutation not found, incomplete strategy
% 5.07/1.62 % (1180334)Time elapsed: 0.001 s
% 5.07/1.62 % (1180334)Peak memory usage: 88 MB
% 5.07/1.62 % (1180336)Instruction limit reached!
% 5.07/1.62 % (1180336)------------------------------
% 5.07/1.62 % (1180336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.62 % (1180336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.62 % (1180336)CaDiCaL version: 2.1.3
% 5.07/1.62 % (1180336)Termination reason: Instruction limit
% 5.07/1.62 % (1180336)Termination phase: Saturation
% 5.07/1.62 % (1180336)Time elapsed: 0.072 s
% 5.07/1.62 % (1180336)Peak memory usage: 89 MB
% 5.07/1.62 % (1180336)Instructions burned: 130 (million)
% 5.07/1.62 % (1180335)Instruction limit reached!
% 5.07/1.62 % (1180335)------------------------------
% 5.07/1.62 % (1180335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.62 % (1180335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.62 % (1180335)CaDiCaL version: 2.1.3
% 5.07/1.62 % (1180335)Termination reason: Instruction limit
% 5.07/1.62 % (1180335)Termination phase: Saturation
% 5.07/1.62 % (1180335)Time elapsed: 0.093 s
% 5.07/1.62 % (1180335)Peak memory usage: 89 MB
% 5.07/1.62 % (1180335)Instructions burned: 139 (million)
% 5.07/1.62 % (1180344)lrs+10_1_sil=8000:sp=occurrence:random_seed=2502237010:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.07/1.62 % (1180333)------------------------------
% 5.07/1.62 % (1180333)------------------------------
% 5.07/1.62 % (1180334)------------------------------
% 5.07/1.62 % (1180334)------------------------------
% 5.07/1.62 % (1180345)lrs+10_1_sil=32000:urr=on:br=off:random_seed=480690639:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.07/1.62 % (1180345)Refutation not found, incomplete strategy
% 5.07/1.62 % (1180345)------------------------------
% 5.07/1.62 % (1180345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.62 % (1180345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.62 % (1180345)CaDiCaL version: 2.1.3
% 5.07/1.62 % (1180345)Termination reason: Refutation not found, incomplete strategy
% 5.07/1.62 % (1180345)Time elapsed: 0.004 s
% 5.07/1.62 % (1180345)Peak memory usage: 89 MB
% 5.07/1.62 % (1180345)Instructions burned: 5 (million)
% 5.07/1.62 % (1180330)First to succeed.
% 5.07/1.62 % (1180330)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1180325"
% 5.07/1.62 % (1180344)Instruction limit reached!
% 5.07/1.62 % (1180344)------------------------------
% 5.07/1.62 % (1180344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.62 % (1180344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.62 % (1180344)CaDiCaL version: 2.1.3
% 5.07/1.62 % (1180344)Termination reason: Instruction limit
% 5.07/1.62 % (1180344)Termination phase: Saturation
% 5.07/1.62 % (1180344)Time elapsed: 0.142 s
% 5.07/1.62 % (1180344)Peak memory usage: 89 MB
% 5.07/1.62 % (1180344)Instructions burned: 286 (million)
% 5.07/1.62 % (1180348)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2763885507:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 5.07/1.62 % (1180349)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=2263082078:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.07/1.62 % (1180345)------------------------------
% 5.07/1.62 % (1180345)------------------------------
% 5.07/1.62 % (1180350)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3572530644:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.07/1.62 % (1180350)Refutation not found, incomplete strategy
% 5.07/1.62 % (1180350)------------------------------
% 5.07/1.62 % (1180350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.62 % (1180350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.62 % (1180350)CaDiCaL version: 2.1.3
% 5.07/1.62 % (1180350)Termination reason: Refutation not found, incomplete strategy
% 5.07/1.62 % (1180350)Time elapsed: 0.001 s
% 5.07/1.62 % (1180350)Peak memory usage: 88 MB
% 5.07/1.62 % (1180349)Instruction limit reached!
% 5.07/1.62 % (1180349)------------------------------
% 5.07/1.62 % (1180349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.62 % (1180349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.62 % (1180349)CaDiCaL version: 2.1.3
% 5.07/1.62 % (1180349)Termination reason: Instruction limit
% 5.07/1.62 % (1180349)Termination phase: Saturation
% 5.07/1.62 % (1180349)Time elapsed: 0.116 s
% 5.07/1.62 % (1180349)Peak memory usage: 90 MB
% 5.07/1.62 % (1180349)Instructions burned: 249 (million)
% 5.07/1.62 % (1180330)Refutation found. Thanks to Tanya!
% 5.07/1.62 % SZS status Theorem for theBenchmark
% 5.07/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 6.07/1.82 % (1180330)------------------------------
% 6.07/1.82 % (1180330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.82 % (1180330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.82 % (1180330)CaDiCaL version: 2.1.3
% 6.07/1.82 % (1180330)Termination reason: Refutation
% 6.07/1.82 % (1180330)Time elapsed: 0.381 s
% 6.07/1.82 % (1180330)Peak memory usage: 130 MB
% 6.07/1.82 % (1180330)Instructions burned: 992 (million)
% 6.07/1.82 % (1180330)------------------------------
% 6.07/1.82 % (1180330)------------------------------
% 6.07/1.82 % (1180325)Success in time 0.769 s
% 6.07/1.82 % Vampire exiting
%------------------------------------------------------------------------------