%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET934+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 : n015.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 5.02s 1.68s
% Output : Refutation 5.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 19 unt; 0 def)
% Number of atoms : 169 ( 21 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 203 ( 79 ~; 80 |; 36 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 103 ( 94 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f3,axiom,
! [X0,X1] :
( X1 = powerset(X0)
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f4,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(f5,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f13,axiom,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f14,conjecture,
! [X0,X1] : subset(set_union2(powerset(X0),powerset(X1)),powerset(set_union2(X0,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t81_zfmisc_1) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] : subset(set_union2(powerset(X0),powerset(X1)),powerset(set_union2(X0,X1))),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f18,plain,
? [X0,X1] : ~ subset(set_union2(powerset(X0),powerset(X1)),powerset(set_union2(X0,X1))),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f22,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f24,plain,
~ subset(set_union2(powerset(sK0),powerset(sK1)),powerset(set_union2(sK0,sK1))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f18]) ).
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) ) ) )
& ( ! [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,[],[f4]) ).
fof(f26,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,[],[f25]) ).
fof(f27,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,[],[f26]) ).
fof(f28,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))],[f27]) ).
fof(f29,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,[],[f3]) ).
fof(f30,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,[],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ( ( ~ subset(sK3(X0,X1),X0)
| ~ in(sK3(X0,X1),X1) )
& ( subset(sK3(X0,X1),X0)
| in(sK3(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,[sK3]),skolemize(X2,sK3(X0,X1))],[f30]) ).
fof(f32,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,[],[f23]) ).
fof(f33,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,[],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK4(X0,X1),X1)
& in(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f33]) ).
fof(f35,plain,
~ subset(set_union2(powerset(sK0),powerset(sK1)),powerset(set_union2(sK0,sK1))),
inference(cnf_transformation,[],[f24]) ).
fof(f36,plain,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
inference(cnf_transformation,[],[f13]) ).
fof(f40,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f28]) ).
fof(f46,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f47,plain,
! [X3,X0,X1] :
( subset(X3,X0)
| ~ in(X3,X1)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f31]) ).
fof(f48,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ subset(X3,X0)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f31]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f22]) ).
fof(f54,plain,
! [X0,X1] :
( in(sK4(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f55,plain,
! [X0,X1] :
( ~ in(sK4(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f58,plain,
! [X0,X1,X4] :
( ~ in(X4,set_union2(X0,X1))
| in(X4,X1)
| in(X4,X0) ),
inference(equality_resolution,[],[f40]) ).
fof(f59,plain,
! [X3,X0] :
( in(X3,powerset(X0))
| ~ subset(X3,X0) ),
inference(equality_resolution,[],[f48]) ).
fof(f60,plain,
! [X3,X0] :
( ~ in(X3,powerset(X0))
| subset(X3,X0) ),
inference(equality_resolution,[],[f47]) ).
fof(f69,plain,
! [X0,X1] : subset(X1,set_union2(X0,X1)),
inference(superposition,[],[f36,f46]) ).
fof(f75,plain,
in(sK4(set_union2(powerset(sK0),powerset(sK1)),powerset(set_union2(sK0,sK1))),set_union2(powerset(sK0),powerset(sK1))),
inference(unit_resulting_resolution,[],[f54,f35]) ).
fof(f76,plain,
~ in(sK4(set_union2(powerset(sK0),powerset(sK1)),powerset(set_union2(sK0,sK1))),powerset(set_union2(sK0,sK1))),
inference(unit_resulting_resolution,[],[f55,f35]) ).
fof(f77,plain,
~ subset(sK4(set_union2(powerset(sK0),powerset(sK1)),powerset(set_union2(sK0,sK1))),set_union2(sK0,sK1)),
inference(unit_resulting_resolution,[],[f59,f76]) ).
fof(f106,plain,
~ subset(sK4(set_union2(powerset(sK0),powerset(sK1)),powerset(set_union2(sK0,sK1))),sK0),
inference(unit_resulting_resolution,[],[f51,f77,f36]) ).
fof(f157,plain,
~ in(sK4(set_union2(powerset(sK0),powerset(sK1)),powerset(set_union2(sK0,sK1))),powerset(sK0)),
inference(unit_resulting_resolution,[],[f60,f106]) ).
fof(f196,plain,
in(sK4(set_union2(powerset(sK0),powerset(sK1)),powerset(set_union2(sK0,sK1))),powerset(sK1)),
inference(unit_resulting_resolution,[],[f58,f75,f157]) ).
fof(f222,plain,
~ subset(sK4(set_union2(powerset(sK0),powerset(sK1)),powerset(set_union2(sK0,sK1))),sK1),
inference(unit_resulting_resolution,[],[f51,f77,f69]) ).
fof(f455,plain,
~ in(sK4(set_union2(powerset(sK0),powerset(sK1)),powerset(set_union2(sK0,sK1))),powerset(sK1)),
inference(unit_resulting_resolution,[],[f60,f222]) ).
fof(f456,plain,
$false,
inference(forward_subsumption_resolution,[],[f455,f196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET934+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n015.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 03:18:58 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 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
% 3.48/1.48 % (2225843)Detected formulas, will run a generic FOF schedule.
% 3.48/1.48 % (2225853)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=167510569:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.48/1.48 % (2225849)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=1347289200:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.48/1.48 % (2225854)dis-21_1_sil=8000:lcm=predicate:random_seed=42814461: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)
% 3.48/1.48 % (2225850)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=103149275:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.48/1.48 % (2225851)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1509471961:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.48/1.48 % (2225848)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=2242885229:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.48/1.48 % (2225852)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3703301167:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.48/1.48 % (2225851)Refutation not found, incomplete strategy
% 3.48/1.48 % (2225851)------------------------------
% 3.48/1.48 % (2225851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.48 % (2225851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.48 % (2225851)CaDiCaL version: 2.1.3
% 3.48/1.48 % (2225851)Termination reason: Refutation not found, incomplete strategy
% 3.48/1.48 % (2225851)Time elapsed: 0.001 s
% 3.48/1.48 % (2225851)Peak memory usage: 88 MB
% 3.48/1.48 % (2225853)Instruction limit reached!
% 3.48/1.48 % (2225853)------------------------------
% 3.48/1.48 % (2225853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.48 % (2225853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.48 % (2225853)CaDiCaL version: 2.1.3
% 3.48/1.48 % (2225853)Termination reason: Instruction limit
% 3.48/1.48 % (2225853)Termination phase: Saturation
% 3.48/1.48 % (2225853)Time elapsed: 0.051 s
% 3.48/1.48 % (2225853)Peak memory usage: 89 MB
% 3.48/1.48 % (2225853)Instructions burned: 141 (million)
% 3.48/1.48 % (2225852)Instruction limit reached!
% 3.48/1.48 % (2225852)------------------------------
% 3.48/1.48 % (2225852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.48 % (2225852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.48 % (2225852)CaDiCaL version: 2.1.3
% 3.48/1.48 % (2225852)Termination reason: Instruction limit
% 3.48/1.48 % (2225852)Termination phase: Saturation
% 3.48/1.48 % (2225852)Time elapsed: 0.077 s
% 3.48/1.48 % (2225852)Peak memory usage: 88 MB
% 3.48/1.48 % (2225852)Instructions burned: 119 (million)
% 3.48/1.48 % (2225854)Instruction limit reached!
% 3.48/1.48 % (2225854)------------------------------
% 3.48/1.48 % (2225854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.48 % (2225854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.48 % (2225854)CaDiCaL version: 2.1.3
% 3.48/1.48 % (2225854)Termination reason: Instruction limit
% 3.48/1.48 % (2225854)Termination phase: Saturation
% 3.48/1.48 % (2225854)Time elapsed: 0.082 s
% 3.48/1.48 % (2225854)Peak memory usage: 89 MB
% 3.48/1.48 % (2225854)Instructions burned: 130 (million)
% 3.48/1.48 % (2225862)lrs+10_1_sil=8000:sp=occurrence:random_seed=3480747124:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.48/1.48 % (2225862)Instruction limit reached!
% 3.48/1.48 % (2225862)------------------------------
% 3.48/1.48 % (2225862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.48 % (2225862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.48 % (2225862)CaDiCaL version: 2.1.3
% 3.48/1.48 % (2225862)Termination reason: Instruction limit
% 3.48/1.48 % (2225862)Termination phase: Saturation
% 3.48/1.48 % (2225862)Time elapsed: 0.091 s
% 3.48/1.48 % (2225862)Peak memory usage: 91 MB
% 3.48/1.48 % (2225862)Instructions burned: 286 (million)
% 3.48/1.48 % (2225864)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2409868183:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.02/1.68 % (2225863)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1161565798:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.02/1.68 % (2225863)First to succeed.
% 5.02/1.68 % (2225863)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2225843"
% 5.02/1.68 % (2225851)------------------------------
% 5.02/1.68 % (2225851)------------------------------
% 5.02/1.68 % (2225864)Also succeeded, but the first one will report.
% 5.02/1.68 % (2225866)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=3435217521:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.02/1.68 % (2225866)Instruction limit reached!
% 5.02/1.68 % (2225866)------------------------------
% 5.02/1.68 % (2225866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.68 % (2225866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.68 % (2225866)CaDiCaL version: 2.1.3
% 5.02/1.68 % (2225866)Termination reason: Instruction limit
% 5.02/1.68 % (2225866)Termination phase: Saturation
% 5.02/1.68 % (2225866)Time elapsed: 0.076 s
% 5.02/1.68 % (2225866)Peak memory usage: 90 MB
% 5.02/1.68 % (2225866)Instructions burned: 251 (million)
% 5.02/1.68 % (2225869)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=458694263:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.02/1.68 % (2225871)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4114797509:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.02/1.68 % (2225863)Refutation found. Thanks to Tanya!
% 5.02/1.68 % SZS status Theorem for theBenchmark
% 5.02/1.68 % SZS output start Proof for theBenchmark
% See solution above
% 5.02/1.68 % (2225863)------------------------------
% 5.02/1.68 % (2225863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.02/1.68 % (2225863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.68 % (2225863)CaDiCaL version: 2.1.3
% 5.02/1.68 % (2225863)Termination reason: Refutation
% 5.02/1.68 % (2225863)Time elapsed: 0.012 s
% 5.02/1.68 % (2225863)Peak memory usage: 89 MB
% 5.02/1.68 % (2225863)Instructions burned: 17 (million)
% 5.02/1.68 % (2225863)------------------------------
% 5.02/1.68 % (2225863)------------------------------
% 5.02/1.68 % (2225843)Success in time 0.63 s
% 5.02/1.68 % Vampire exiting
%------------------------------------------------------------------------------