%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET611+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:41:21 PM UTC 2026
% Result : Theorem 4.26s 1.24s
% Output : Refutation 4.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 77 ( 10 unt; 2 def)
% Number of atoms : 205 ( 36 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 215 ( 87 ~; 94 |; 23 &)
% ( 9 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 110 ( 0 sgn 104 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
fof(f3,axiom,
! [X0,X1,X2] :
( member(X2,difference(X0,X1))
<=> ( member(X2,X0)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
fof(f4,axiom,
! [X0] : ~ member(X0,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_defn) ).
fof(f5,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn) ).
fof(f6,axiom,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_intersection) ).
fof(f8,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f11,conjecture,
! [X0,X1] :
( intersection(X0,X1) = empty_set
<=> difference(X0,X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th84) ).
fof(f12,negated_conjecture,
~ ! [X0,X1] :
( intersection(X0,X1) = empty_set
<=> difference(X0,X1) = X0 ),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f13,plain,
? [X0,X1] :
( intersection(X0,X1) = empty_set
<~> difference(X0,X1) = X0 ),
inference(ennf_transformation,[],[f12]) ).
fof(f15,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f16,plain,
? [X0,X1] :
( ( difference(X0,X1) != X0
| intersection(X0,X1) != empty_set )
& ( difference(X0,X1) = X0
| intersection(X0,X1) = empty_set ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f17,plain,
( ( sK0 != difference(sK0,sK1)
| empty_set != intersection(sK0,sK1) )
& ( sK0 = difference(sK0,sK1)
| empty_set = intersection(sK0,sK1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f16]) ).
fof(f21,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f22,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f21]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) )
& ( ( member(X2,X0)
& ~ member(X2,X1) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) )
& ( ( member(X2,X0)
& ~ member(X2,X1) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f30,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK4(X0,X1),X1)
& member(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f30]) ).
fof(f32,plain,
( sK0 = difference(sK0,sK1)
| empty_set = intersection(sK0,sK1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
( sK0 != difference(sK0,sK1)
| empty_set != intersection(sK0,sK1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f38,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f41,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f46,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f49,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f4]) ).
fof(f52,plain,
! [X0,X1] :
( member(sK4(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f53,plain,
! [X0,X1] :
( ~ member(sK4(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f60,definition,
( spl5_1
<=> empty_set = intersection(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f61,plain,
( empty_set != intersection(sK0,sK1)
| spl5_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f62,plain,
( empty_set = intersection(sK0,sK1)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f64,definition,
( spl5_2
<=> sK0 = difference(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f65,plain,
( sK0 != difference(sK0,sK1)
| spl5_2 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f66,plain,
( sK0 = difference(sK0,sK1)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f32,f64,f60]) ).
fof(f68,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f33,f64,f60]) ).
fof(f73,plain,
( ! [X0] :
( ~ member(X0,sK1)
| ~ member(X0,sK0) )
| ~ spl5_2 ),
inference(superposition,[],[f47,f66]) ).
fof(f75,plain,
! [X2,X0,X1] :
( member(sK4(intersection(X0,X1),X2),X0)
| subset(intersection(X0,X1),X2) ),
inference(resolution,[],[f52,f45]) ).
fof(f76,plain,
! [X2,X0,X1] :
( member(sK4(intersection(X0,X1),X2),X1)
| subset(intersection(X0,X1),X2) ),
inference(resolution,[],[f52,f44]) ).
fof(f77,plain,
! [X2,X0,X1] :
( member(sK4(difference(X0,X1),X2),X0)
| subset(difference(X0,X1),X2) ),
inference(resolution,[],[f52,f48]) ).
fof(f79,plain,
! [X0] : subset(empty_set,X0),
inference(resolution,[],[f52,f50]) ).
fof(f84,plain,
! [X0] :
( ~ subset(X0,empty_set)
| empty_set = X0 ),
inference(resolution,[],[f79,f41]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ member(sK4(X0,difference(X1,X2)),X1)
| member(sK4(X0,difference(X1,X2)),X2)
| subset(X0,difference(X1,X2)) ),
inference(resolution,[],[f49,f53]) ).
fof(f194,plain,
( ! [X0,X1] :
( ~ member(sK4(intersection(sK1,X0),X1),sK0)
| subset(intersection(sK1,X0),X1) )
| ~ spl5_2 ),
inference(resolution,[],[f75,f73]) ).
fof(f201,plain,
( ! [X0] :
( subset(intersection(sK1,sK0),X0)
| subset(intersection(sK1,sK0),X0) )
| ~ spl5_2 ),
inference(resolution,[],[f76,f194]) ).
fof(f210,plain,
( ! [X0] : subset(intersection(sK1,sK0),X0)
| ~ spl5_2 ),
inference(duplicate_literal_removal,[],[f201]) ).
fof(f212,plain,
( ! [X0] : subset(intersection(sK0,sK1),X0)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f210,f38]) ).
fof(f215,plain,
( empty_set = intersection(sK0,sK1)
| ~ spl5_2 ),
inference(resolution,[],[f212,f84]) ).
fof(f216,plain,
( $false
| spl5_1
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f215,f61]) ).
fof(f217,plain,
( spl5_1
| ~ spl5_2 ),
inference(avatar_contradiction_clause,[],[f216]) ).
fof(f220,plain,
( ! [X0] :
( member(X0,empty_set)
| ~ member(X0,sK0)
| ~ member(X0,sK1) )
| ~ spl5_1 ),
inference(superposition,[],[f46,f62]) ).
fof(f223,plain,
( ! [X0] :
( ~ member(X0,sK1)
| ~ member(X0,sK0) )
| ~ spl5_1 ),
inference(forward_subsumption_resolution,[],[f220,f50]) ).
fof(f235,plain,
! [X0,X1] :
( subset(difference(X0,X1),X0)
| subset(difference(X0,X1),X0) ),
inference(resolution,[],[f77,f53]) ).
fof(f242,plain,
! [X0,X1] : subset(difference(X0,X1),X0),
inference(duplicate_literal_removal,[],[f235]) ).
fof(f272,plain,
! [X0,X1] :
( member(sK4(X0,difference(X0,X1)),X1)
| subset(X0,difference(X0,X1))
| subset(X0,difference(X0,X1)) ),
inference(resolution,[],[f96,f52]) ).
fof(f281,plain,
! [X0,X1] :
( member(sK4(X0,difference(X0,X1)),X1)
| subset(X0,difference(X0,X1)) ),
inference(duplicate_literal_removal,[],[f272]) ).
fof(f1139,plain,
( ! [X0] :
( ~ member(sK4(X0,difference(X0,sK1)),sK0)
| subset(X0,difference(X0,sK1)) )
| ~ spl5_1 ),
inference(resolution,[],[f281,f223]) ).
fof(f1900,plain,
( subset(sK0,difference(sK0,sK1))
| subset(sK0,difference(sK0,sK1))
| ~ spl5_1 ),
inference(resolution,[],[f1139,f52]) ).
fof(f1909,plain,
( subset(sK0,difference(sK0,sK1))
| ~ spl5_1 ),
inference(duplicate_literal_removal,[],[f1900]) ).
fof(f1927,plain,
( ~ subset(difference(sK0,sK1),sK0)
| sK0 = difference(sK0,sK1)
| ~ spl5_1 ),
inference(resolution,[],[f1909,f41]) ).
fof(f1928,plain,
( sK0 = difference(sK0,sK1)
| ~ spl5_1 ),
inference(forward_subsumption_resolution,[],[f1927,f242]) ).
fof(f1929,plain,
( $false
| ~ spl5_1
| spl5_2 ),
inference(forward_subsumption_resolution,[],[f1928,f65]) ).
fof(f1930,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_contradiction_clause,[],[f1929]) ).
cnf(s1,plain,
( spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f67]) ).
cnf(s2,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(sat_conversion,[],[f68]) ).
cnf(s7,plain,
( spl5_1
| ~ spl5_2 ),
inference(sat_conversion,[],[f217]) ).
cnf(s8,plain,
( ~ spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f1930]) ).
cnf(s9,plain,
spl5_1,
inference(rat,[],[s1,s7]) ).
cnf(s10,plain,
spl5_2,
inference(rat,[],[s8,s9]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s2,s10,s9]) ).
fof(f1931,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET611+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n016.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 02:23:48 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 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
% 4.26/1.24 % (3194435)Detected formulas, will run a generic FOF schedule.
% 4.26/1.24 % (3194445)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4063483737:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.26/1.24 % (3194444)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2680015088:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.26/1.24 % (3194441)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=1782989558:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.26/1.24 % (3194446)dis-21_1_sil=8000:lcm=predicate:random_seed=2879501884: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)
% 4.26/1.24 % (3194443)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=498705831:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.26/1.24 % (3194440)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=1861419467:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.26/1.24 % (3194442)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=46961203:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.26/1.24 % (3194443)Instruction limit reached!
% 4.26/1.24 % (3194443)------------------------------
% 4.26/1.24 % (3194443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.24 % (3194443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.24 % (3194443)CaDiCaL version: 2.1.3
% 4.26/1.24 % (3194443)Termination reason: Instruction limit
% 4.26/1.24 % (3194443)Termination phase: Saturation
% 4.26/1.24 % (3194443)Time elapsed: 0.065 s
% 4.26/1.24 % (3194443)Peak memory usage: 89 MB
% 4.26/1.24 % (3194443)Instructions burned: 110 (million)
% 4.26/1.24 % (3194444)Instruction limit reached!
% 4.26/1.24 % (3194444)------------------------------
% 4.26/1.24 % (3194444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.24 % (3194444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.24 % (3194444)CaDiCaL version: 2.1.3
% 4.26/1.24 % (3194444)Termination reason: Instruction limit
% 4.26/1.24 % (3194444)Termination phase: Saturation
% 4.26/1.24 % (3194444)Time elapsed: 0.072 s
% 4.26/1.24 % (3194444)Peak memory usage: 89 MB
% 4.26/1.24 % (3194444)Instructions burned: 119 (million)
% 4.26/1.24 % (3194446)Instruction limit reached!
% 4.26/1.24 % (3194446)------------------------------
% 4.26/1.24 % (3194446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.24 % (3194446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.24 % (3194446)CaDiCaL version: 2.1.3
% 4.26/1.24 % (3194446)Termination reason: Instruction limit
% 4.26/1.24 % (3194446)Termination phase: Saturation
% 4.26/1.24 % (3194446)Time elapsed: 0.079 s
% 4.26/1.24 % (3194446)Peak memory usage: 89 MB
% 4.26/1.24 % (3194446)Instructions burned: 130 (million)
% 4.26/1.24 % (3194445)Instruction limit reached!
% 4.26/1.24 % (3194445)------------------------------
% 4.26/1.24 % (3194445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.24 % (3194445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.24 % (3194445)CaDiCaL version: 2.1.3
% 4.26/1.24 % (3194445)Termination reason: Instruction limit
% 4.26/1.24 % (3194445)Termination phase: Saturation
% 4.26/1.24 % (3194445)Time elapsed: 0.090 s
% 4.26/1.24 % (3194445)Peak memory usage: 89 MB
% 4.26/1.24 % (3194445)Instructions burned: 140 (million)
% 4.26/1.24 % (3194454)lrs+10_1_sil=8000:sp=occurrence:random_seed=879987100:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.26/1.24 % (3194455)lrs+10_1_sil=32000:urr=on:br=off:random_seed=652912707:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.26/1.24 % (3194456)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1197457850:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.26/1.24 % (3194457)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=1530988427:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.26/1.24 % (3194455)Refutation not found, incomplete strategy
% 4.26/1.24 % (3194455)------------------------------
% 4.26/1.24 % (3194455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.24 % (3194455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.24 % (3194455)CaDiCaL version: 2.1.3
% 4.26/1.24 % (3194455)Termination reason: Refutation not found, incomplete strategy
% 4.26/1.24 % (3194455)Time elapsed: 0.041 s
% 4.26/1.24 % (3194455)Peak memory usage: 89 MB
% 4.26/1.24 % (3194455)Instructions burned: 88 (million)
% 4.26/1.24 % (3194454)First to succeed.
% 4.26/1.24 % (3194454)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3194435"
% 4.26/1.24 % (3194457)Instruction limit reached!
% 4.26/1.24 % (3194457)------------------------------
% 4.26/1.24 % (3194457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.24 % (3194457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.24 % (3194457)CaDiCaL version: 2.1.3
% 4.26/1.24 % (3194457)Termination reason: Instruction limit
% 4.26/1.24 % (3194457)Termination phase: Saturation
% 4.26/1.24 % (3194457)Time elapsed: 0.100 s
% 4.26/1.24 % (3194457)Peak memory usage: 90 MB
% 4.26/1.24 % (3194457)Instructions burned: 252 (million)
% 4.26/1.24 % (3194462)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1030406320:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.26/1.24 % (3194456)Instruction limit reached!
% 4.26/1.24 % (3194456)------------------------------
% 4.26/1.24 % (3194456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.24 % (3194456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.24 % (3194456)CaDiCaL version: 2.1.3
% 4.26/1.24 % (3194456)Termination reason: Instruction limit
% 4.26/1.24 % (3194456)Termination phase: Saturation
% 4.26/1.24 % (3194456)Time elapsed: 0.199 s
% 4.26/1.24 % (3194456)Peak memory usage: 90 MB
% 4.26/1.24 % (3194456)Instructions burned: 325 (million)
% 4.26/1.24 % (3194455)------------------------------
% 4.26/1.24 % (3194455)------------------------------
% 4.26/1.24 % (3194462)Instruction limit reached!
% 4.26/1.24 % (3194462)------------------------------
% 4.26/1.24 % (3194462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.26/1.24 % (3194462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.26/1.24 % (3194462)CaDiCaL version: 2.1.3
% 4.26/1.24 % (3194462)Termination reason: Instruction limit
% 4.26/1.24 % (3194462)Termination phase: Saturation
% 4.26/1.24 % (3194462)Time elapsed: 0.091 s
% 4.26/1.24 % (3194462)Peak memory usage: 92 MB
% 4.26/1.24 % (3194462)Instructions burned: 294 (million)
% 4.26/1.24 % (3194454)Refutation found. Thanks to Tanya!
% 4.26/1.24 % SZS status Theorem for theBenchmark
% 4.26/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 4.91/1.43 % (3194454)------------------------------
% 4.91/1.43 % (3194454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.91/1.43 % (3194454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/1.43 % (3194454)CaDiCaL version: 2.1.3
% 4.91/1.43 % (3194454)Termination reason: Refutation
% 4.91/1.43 % (3194454)Time elapsed: 0.050 s
% 4.91/1.43 % (3194454)Peak memory usage: 90 MB
% 4.91/1.43 % (3194454)Instructions burned: 77 (million)
% 4.91/1.43 % (3194454)------------------------------
% 4.91/1.43 % (3194454)------------------------------
% 4.91/1.43 % (3194435)Success in time 0.637 s
% 4.91/1.43 % Vampire exiting
%------------------------------------------------------------------------------