%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET938+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:42:22 PM UTC 2026
% Result : Theorem 3.94s 1.58s
% Output : Refutation 5.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 48 ( 21 unt; 0 def)
% Number of atoms : 172 ( 23 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 209 ( 85 ~; 82 |; 35 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 102 ( 93 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( X1 = powerset(X0)
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f5,axiom,
! [X0,X1,X2] :
( X2 = set_union2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
| in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f6,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f7,axiom,
! [X0,X1] : symmetric_difference(X0,X1) = set_union2(set_difference(X0,X1),set_difference(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_xboole_0) ).
fof(f14,conjecture,
! [X0,X1] : subset(set_union2(powerset(set_difference(X0,X1)),powerset(set_difference(X1,X0))),powerset(symmetric_difference(X0,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t86_zfmisc_1) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] : subset(set_union2(powerset(set_difference(X0,X1)),powerset(set_difference(X1,X0))),powerset(symmetric_difference(X0,X1))),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f18,plain,
? [X0,X1] : ~ subset(set_union2(powerset(set_difference(X0,X1)),powerset(set_difference(X1,X0))),powerset(symmetric_difference(X0,X1))),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f22,plain,
~ subset(set_union2(powerset(set_difference(sK0,sK1)),powerset(set_difference(sK1,sK0))),powerset(symmetric_difference(sK0,sK1))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f18]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X0)
& ~ in(X3,X1) ) )
& ( in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X0)
& ~ in(X3,X1) ) )
& ( in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X0)
& ~ in(X4,X1) ) )
& ( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(rectify,[],[f24]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ( ( ( ~ in(sK2(X0,X1,X2),X0)
& ~ in(sK2(X0,X1,X2),X1) )
| ~ in(sK2(X0,X1,X2),X2) )
& ( in(sK2(X0,X1,X2),X0)
| in(sK2(X0,X1,X2),X1)
| in(sK2(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X0)
& ~ in(X4,X1) ) )
& ( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f25]) ).
fof(f27,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,[],[f21]) ).
fof(f28,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,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK3(X0,X1),X1)
& in(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| powerset(X0) != X1 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f31,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(rectify,[],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ( ( ~ subset(sK4(X0,X1),X0)
| ~ in(sK4(X0,X1),X1) )
& ( subset(sK4(X0,X1),X0)
| in(sK4(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f31]) ).
fof(f33,plain,
~ subset(set_union2(powerset(set_difference(sK0,sK1)),powerset(set_difference(sK1,sK0))),powerset(symmetric_difference(sK0,sK1))),
inference(cnf_transformation,[],[f22]) ).
fof(f37,plain,
! [X0,X1] : symmetric_difference(X0,X1) = set_union2(set_difference(X0,X1),set_difference(X1,X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f38,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f26]) ).
fof(f39,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f26]) ).
fof(f40,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f26]) ).
fof(f47,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f48,plain,
! [X0,X1] :
( in(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f49,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
! [X3,X0,X1] :
( subset(X3,X0)
| ~ in(X3,X1)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f32]) ).
fof(f51,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ subset(X3,X0)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f32]) ).
fof(f54,plain,
~ subset(set_union2(powerset(set_difference(sK0,sK1)),powerset(set_difference(sK1,sK0))),powerset(set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0)))),
inference(definition_unfolding,[],[f33,f37]) ).
fof(f56,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f40]) ).
fof(f57,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f39]) ).
fof(f58,plain,
! [X0,X1,X4] :
( ~ in(X4,set_union2(X0,X1))
| in(X4,X1)
| in(X4,X0) ),
inference(equality_resolution,[],[f38]) ).
fof(f59,plain,
! [X3,X0] :
( in(X3,powerset(X0))
| ~ subset(X3,X0) ),
inference(equality_resolution,[],[f51]) ).
fof(f60,plain,
! [X3,X0] :
( ~ in(X3,powerset(X0))
| subset(X3,X0) ),
inference(equality_resolution,[],[f50]) ).
fof(f70,plain,
in(sK3(set_union2(powerset(set_difference(sK0,sK1)),powerset(set_difference(sK1,sK0))),powerset(set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0)))),set_union2(powerset(set_difference(sK0,sK1)),powerset(set_difference(sK1,sK0)))),
inference(unit_resulting_resolution,[],[f48,f54]) ).
fof(f71,plain,
~ in(sK3(set_union2(powerset(set_difference(sK0,sK1)),powerset(set_difference(sK1,sK0))),powerset(set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0)))),powerset(set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0)))),
inference(unit_resulting_resolution,[],[f49,f54]) ).
fof(f72,plain,
~ subset(sK3(set_union2(powerset(set_difference(sK0,sK1)),powerset(set_difference(sK1,sK0))),powerset(set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0)))),set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0))),
inference(unit_resulting_resolution,[],[f59,f71]) ).
fof(f77,plain,
~ in(sK3(sK3(set_union2(powerset(set_difference(sK0,sK1)),powerset(set_difference(sK1,sK0))),powerset(set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0)))),set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0))),set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0))),
inference(unit_resulting_resolution,[],[f49,f72]) ).
fof(f78,plain,
in(sK3(sK3(set_union2(powerset(set_difference(sK0,sK1)),powerset(set_difference(sK1,sK0))),powerset(set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0)))),set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0))),sK3(set_union2(powerset(set_difference(sK0,sK1)),powerset(set_difference(sK1,sK0))),powerset(set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0))))),
inference(unit_resulting_resolution,[],[f48,f72]) ).
fof(f495,plain,
~ in(sK3(sK3(set_union2(powerset(set_difference(sK0,sK1)),powerset(set_difference(sK1,sK0))),powerset(set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0)))),set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0))),set_difference(sK1,sK0)),
inference(unit_resulting_resolution,[],[f57,f77]) ).
fof(f496,plain,
~ in(sK3(sK3(set_union2(powerset(set_difference(sK0,sK1)),powerset(set_difference(sK1,sK0))),powerset(set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0)))),set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0))),set_difference(sK0,sK1)),
inference(unit_resulting_resolution,[],[f56,f77]) ).
fof(f995,plain,
~ subset(sK3(set_union2(powerset(set_difference(sK0,sK1)),powerset(set_difference(sK1,sK0))),powerset(set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0)))),set_difference(sK1,sK0)),
inference(unit_resulting_resolution,[],[f47,f78,f495]) ).
fof(f1001,plain,
~ in(sK3(set_union2(powerset(set_difference(sK0,sK1)),powerset(set_difference(sK1,sK0))),powerset(set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0)))),powerset(set_difference(sK1,sK0))),
inference(unit_resulting_resolution,[],[f60,f995]) ).
fof(f1022,plain,
~ subset(sK3(set_union2(powerset(set_difference(sK0,sK1)),powerset(set_difference(sK1,sK0))),powerset(set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0)))),set_difference(sK0,sK1)),
inference(unit_resulting_resolution,[],[f47,f78,f496]) ).
fof(f1029,plain,
~ in(sK3(set_union2(powerset(set_difference(sK0,sK1)),powerset(set_difference(sK1,sK0))),powerset(set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0)))),powerset(set_difference(sK0,sK1))),
inference(unit_resulting_resolution,[],[f60,f1022]) ).
fof(f1044,plain,
in(sK3(set_union2(powerset(set_difference(sK0,sK1)),powerset(set_difference(sK1,sK0))),powerset(set_union2(set_difference(sK0,sK1),set_difference(sK1,sK0)))),powerset(set_difference(sK0,sK1))),
inference(unit_resulting_resolution,[],[f58,f70,f1001]) ).
fof(f1069,plain,
$false,
inference(forward_subsumption_resolution,[],[f1044,f1029]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET938+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n020.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 03:16:35 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.94/1.58 % (3991940)Detected formulas, will run a generic FOF schedule.
% 3.94/1.58 % (3991951)dis-21_1_sil=8000:lcm=predicate:random_seed=2102466560: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)
% 3.94/1.58 % (3991951)Instruction limit reached!
% 3.94/1.58 % (3991951)------------------------------
% 3.94/1.58 % (3991951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.58 % (3991951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.58 % (3991951)CaDiCaL version: 2.1.3
% 3.94/1.58 % (3991951)Termination reason: Instruction limit
% 3.94/1.58 % (3991951)Termination phase: Saturation
% 3.94/1.58 % (3991951)Time elapsed: 0.041 s
% 3.94/1.58 % (3991951)Peak memory usage: 89 MB
% 3.94/1.58 % (3991951)Instructions burned: 130 (million)
% 3.94/1.58 % (3991945)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=2176585998:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.94/1.58 % (3991948)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2705065845:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.94/1.58 % (3991949)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2281318016:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.94/1.58 % (3991946)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=3066120297:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.94/1.58 % (3991950)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2532844249:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.94/1.58 % (3991947)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=2982285251:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.94/1.58 % (3991948)Refutation not found, incomplete strategy
% 3.94/1.58 % (3991948)------------------------------
% 3.94/1.58 % (3991948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.58 % (3991948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.58 % (3991948)CaDiCaL version: 2.1.3
% 3.94/1.58 % (3991948)Termination reason: Refutation not found, incomplete strategy
% 3.94/1.58 % (3991948)Time elapsed: 0.001 s
% 3.94/1.58 % (3991948)Peak memory usage: 88 MB
% 3.94/1.58 % (3991949)Instruction limit reached!
% 3.94/1.58 % (3991949)------------------------------
% 3.94/1.58 % (3991949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.58 % (3991949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.58 % (3991949)CaDiCaL version: 2.1.3
% 3.94/1.58 % (3991949)Termination reason: Instruction limit
% 3.94/1.58 % (3991949)Termination phase: Saturation
% 3.94/1.58 % (3991949)Time elapsed: 0.075 s
% 3.94/1.58 % (3991949)Peak memory usage: 88 MB
% 3.94/1.58 % (3991949)Instructions burned: 120 (million)
% 3.94/1.58 % (3991950)Instruction limit reached!
% 3.94/1.58 % (3991950)------------------------------
% 3.94/1.58 % (3991950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.58 % (3991950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.58 % (3991950)CaDiCaL version: 2.1.3
% 3.94/1.58 % (3991950)Termination reason: Instruction limit
% 3.94/1.58 % (3991950)Termination phase: Saturation
% 3.94/1.58 % (3991950)Time elapsed: 0.090 s
% 3.94/1.58 % (3991950)Peak memory usage: 89 MB
% 3.94/1.58 % (3991950)Instructions burned: 139 (million)
% 3.94/1.58 % (3991959)lrs+10_1_sil=8000:sp=occurrence:random_seed=2091335520:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.94/1.58 % (3991959)Instruction limit reached!
% 3.94/1.58 % (3991959)------------------------------
% 3.94/1.58 % (3991959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.58 % (3991959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.58 % (3991959)CaDiCaL version: 2.1.3
% 3.94/1.58 % (3991959)Termination reason: Instruction limit
% 3.94/1.58 % (3991959)Termination phase: Saturation
% 3.94/1.58 % (3991959)Time elapsed: 0.088 s
% 3.94/1.58 % (3991959)Peak memory usage: 91 MB
% 3.94/1.58 % (3991959)Instructions burned: 287 (million)
% 3.94/1.58 % (3991962)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2995968799:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.94/1.58 % (3991961)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3757925444:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.94/1.58 % (3991948)------------------------------
% 3.94/1.58 % (3991948)------------------------------
% 3.94/1.58 % (3991961)First to succeed.
% 3.94/1.58 % (3991961)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3991940"
% 3.94/1.58 % (3991964)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=2574260237:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.94/1.58 % (3991964)Instruction limit reached!
% 3.94/1.58 % (3991964)------------------------------
% 3.94/1.58 % (3991964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.58 % (3991964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.58 % (3991964)CaDiCaL version: 2.1.3
% 3.94/1.58 % (3991964)Termination reason: Instruction limit
% 3.94/1.58 % (3991964)Termination phase: Saturation
% 3.94/1.58 % (3991964)Time elapsed: 0.073 s
% 3.94/1.58 % (3991964)Peak memory usage: 90 MB
% 3.94/1.58 % (3991964)Instructions burned: 249 (million)
% 3.94/1.58 % (3991967)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=412907870:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.94/1.58 % (3991967)Refutation not found, incomplete strategy
% 3.94/1.58 % (3991967)------------------------------
% 3.94/1.58 % (3991967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.58 % (3991967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.58 % (3991967)CaDiCaL version: 2.1.3
% 3.94/1.58 % (3991967)Termination reason: Refutation not found, incomplete strategy
% 3.94/1.58 % (3991967)Time elapsed: 0.002 s
% 3.94/1.58 % (3991967)Peak memory usage: 88 MB
% 3.94/1.58 % (3991967)Instructions burned: 1 (million)
% 3.94/1.58 % (3991962)Also succeeded, but the first one will report.
% 3.94/1.58 % (3991961)Refutation found. Thanks to Tanya!
% 3.94/1.58 % SZS status Theorem for theBenchmark
% 3.94/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 5.62/1.78 % (3991961)------------------------------
% 5.62/1.78 % (3991961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.62/1.78 % (3991961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.78 % (3991961)CaDiCaL version: 2.1.3
% 5.62/1.78 % (3991961)Termination reason: Refutation
% 5.62/1.78 % (3991961)Time elapsed: 0.032 s
% 5.62/1.78 % (3991961)Peak memory usage: 89 MB
% 5.62/1.78 % (3991961)Instructions burned: 53 (million)
% 5.62/1.78 % (3991961)------------------------------
% 5.62/1.78 % (3991961)------------------------------
% 5.62/1.78 % (3991940)Success in time 0.714 s
% 5.62/1.78 % Vampire exiting
%------------------------------------------------------------------------------