%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU170+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:47:33 PM UTC 2026
% Result : Theorem 4.07s 1.51s
% Output : Refutation 5.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 72 ( 7 unt; 2 def)
% Number of atoms : 249 ( 16 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 281 ( 104 ~; 107 |; 52 &)
% ( 8 <=>; 9 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 113 ( 0 sgn 96 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f3,axiom,
! [X0,X1,X2] :
( X2 = set_difference(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& ~ in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f4,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> subset_complement(X0,X1) = set_difference(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_subset_1) ).
fof(f14,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> ! [X2] :
( in(X2,X1)
=> in(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_subset_1) ).
fof(f20,axiom,
! [X0,X1] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(f22,axiom,
! [X0,X1] :
( ~ ( ~ disjoint(X0,X1)
& ! [X2] :
~ ( in(X2,X0)
& in(X2,X1) ) )
& ~ ( ? [X2] :
( in(X2,X0)
& in(X2,X1) )
& disjoint(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_0) ).
fof(f23,conjecture,
! [X0,X1] :
( element(X1,powerset(X0))
=> ! [X2] :
( element(X2,powerset(X0))
=> ( disjoint(X1,X2)
<=> subset(X1,subset_complement(X0,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_subset_1) ).
fof(f24,negated_conjecture,
~ ! [X0,X1] :
( element(X1,powerset(X0))
=> ! [X2] :
( element(X2,powerset(X0))
=> ( disjoint(X1,X2)
<=> subset(X1,subset_complement(X0,X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f30,plain,
! [X0,X1] :
( ~ ( ~ disjoint(X0,X1)
& ! [X2] :
~ ( in(X2,X0)
& in(X2,X1) ) )
& ~ ( ? [X3] :
( in(X3,X0)
& in(X3,X1) )
& disjoint(X0,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f32,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f33,plain,
! [X0,X1] :
( subset_complement(X0,X1) = set_difference(X0,X1)
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f36,plain,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f38,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f39,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| ? [X2] :
( in(X2,X0)
& in(X2,X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X3,X1) )
| ~ disjoint(X0,X1) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f40,plain,
? [X0,X1] :
( ? [X2] :
( ( disjoint(X1,X2)
<~> subset(X1,subset_complement(X0,X2)) )
& element(X2,powerset(X0)) )
& element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f44,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,[],[f32]) ).
fof(f45,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,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK0(X0,X1),X1)
& in(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f45]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(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_difference(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(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_difference(X0,X1) != X2 ) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(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_difference(X0,X1) != X2 ) ),
inference(rectify,[],[f48]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ( ( ~ in(sK1(X0,X1,X2),X0)
| in(sK1(X0,X1,X2),X1)
| ~ in(sK1(X0,X1,X2),X2) )
& ( ( in(sK1(X0,X1,X2),X0)
& ~ in(sK1(X0,X1,X2),X1) )
| in(sK1(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1) )
& ( ( in(X4,X0)
& ~ in(X4,X1) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f49]) ).
fof(f56,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| ( in(sK7(X0,X1),X0)
& in(sK7(X0,X1),X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X3,X1) )
| ~ disjoint(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f39]) ).
fof(f57,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ subset(X1,subset_complement(X0,X2))
| ~ disjoint(X1,X2) )
& ( subset(X1,subset_complement(X0,X2))
| disjoint(X1,X2) )
& element(X2,powerset(X0)) )
& element(X1,powerset(X0)) ),
inference(nnf_transformation,[],[f40]) ).
fof(f58,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ subset(X1,subset_complement(X0,X2))
| ~ disjoint(X1,X2) )
& ( subset(X1,subset_complement(X0,X2))
| disjoint(X1,X2) )
& element(X2,powerset(X0)) )
& element(X1,powerset(X0)) ),
inference(flattening,[],[f57]) ).
fof(f59,plain,
( ( ~ subset(sK9,subset_complement(sK8,sK10))
| ~ disjoint(sK9,sK10) )
& ( subset(sK9,subset_complement(sK8,sK10))
| disjoint(sK9,sK10) )
& element(sK10,powerset(sK8))
& element(sK9,powerset(sK8)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10)],[f58]) ).
fof(f61,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f62,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f63,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f64,plain,
! [X2,X0,X1,X4] :
( set_difference(X0,X1) != X2
| ~ in(X4,X2)
| ~ in(X4,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f66,plain,
! [X2,X0,X1,X4] :
( set_difference(X0,X1) != X2
| ~ in(X4,X0)
| in(X4,X1)
| in(X4,X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f70,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| set_difference(X0,X1) = subset_complement(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X0))
| ~ in(X2,X1)
| in(X2,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f84,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| disjoint(X1,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f86,plain,
! [X3,X0,X1] :
( ~ disjoint(X0,X1)
| ~ in(X3,X1)
| ~ in(X3,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f87,plain,
! [X0,X1] :
( in(sK7(X0,X1),X1)
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f88,plain,
! [X0,X1] :
( in(sK7(X0,X1),X0)
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f89,plain,
element(sK9,powerset(sK8)),
inference(cnf_transformation,[],[f59]) ).
fof(f90,plain,
element(sK10,powerset(sK8)),
inference(cnf_transformation,[],[f59]) ).
fof(f91,plain,
( subset(sK9,subset_complement(sK8,sK10))
| disjoint(sK9,sK10) ),
inference(cnf_transformation,[],[f59]) ).
fof(f92,plain,
( ~ subset(sK9,subset_complement(sK8,sK10))
| ~ disjoint(sK9,sK10) ),
inference(cnf_transformation,[],[f59]) ).
fof(f98,definition,
( spl11_1
<=> disjoint(sK9,sK10) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f99,plain,
( ~ disjoint(sK9,sK10)
| spl11_1 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f100,plain,
( disjoint(sK9,sK10)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f102,definition,
( spl11_2
<=> subset(sK9,subset_complement(sK8,sK10)) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f103,plain,
( ~ subset(sK9,subset_complement(sK8,sK10))
| spl11_2 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f104,plain,
( subset(sK9,subset_complement(sK8,sK10))
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f91,f102,f98]) ).
fof(f106,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f92,f102,f98]) ).
fof(f111,plain,
( in(sK7(sK9,sK10),sK10)
| spl11_1 ),
inference(unit_resulting_resolution,[],[f87,f99]) ).
fof(f113,plain,
( in(sK7(sK9,sK10),sK9)
| spl11_1 ),
inference(unit_resulting_resolution,[],[f88,f99]) ).
fof(f127,plain,
subset_complement(sK8,sK10) = set_difference(sK8,sK10),
inference(unit_resulting_resolution,[],[f70,f90]) ).
fof(f135,plain,
( in(sK7(sK9,sK10),subset_complement(sK8,sK10))
| spl11_1
| ~ spl11_2 ),
inference(unit_resulting_resolution,[],[f61,f104,f113]) ).
fof(f373,plain,
( ~ in(sK7(sK9,sK10),sK10)
| spl11_1
| ~ spl11_2 ),
inference(unit_resulting_resolution,[],[f64,f127,f135]) ).
fof(f394,plain,
( $false
| spl11_1
| ~ spl11_2 ),
inference(forward_subsumption_resolution,[],[f373,f111]) ).
fof(f395,plain,
( spl11_1
| ~ spl11_2 ),
inference(avatar_contradiction_clause,[],[f394]) ).
fof(f396,plain,
( disjoint(sK10,sK9)
| ~ spl11_1 ),
inference(unit_resulting_resolution,[],[f84,f100]) ).
fof(f397,plain,
( ~ in(sK0(sK9,subset_complement(sK8,sK10)),subset_complement(sK8,sK10))
| spl11_2 ),
inference(unit_resulting_resolution,[],[f63,f103]) ).
fof(f398,plain,
( in(sK0(sK9,subset_complement(sK8,sK10)),sK9)
| spl11_2 ),
inference(unit_resulting_resolution,[],[f62,f103]) ).
fof(f411,plain,
( in(sK0(sK9,subset_complement(sK8,sK10)),sK8)
| spl11_2 ),
inference(unit_resulting_resolution,[],[f76,f89,f398]) ).
fof(f412,plain,
( ~ in(sK0(sK9,subset_complement(sK8,sK10)),sK10)
| ~ spl11_1
| spl11_2 ),
inference(unit_resulting_resolution,[],[f86,f396,f398]) ).
fof(f530,plain,
( subset_complement(sK8,sK10) != set_difference(sK8,sK10)
| ~ spl11_1
| spl11_2 ),
inference(unit_resulting_resolution,[],[f66,f397,f411,f412]) ).
fof(f555,plain,
( $false
| ~ spl11_1
| spl11_2 ),
inference(forward_subsumption_resolution,[],[f530,f127]) ).
fof(f556,plain,
( ~ spl11_1
| spl11_2 ),
inference(avatar_contradiction_clause,[],[f555]) ).
cnf(s1,plain,
( spl11_1
| spl11_2 ),
inference(sat_conversion,[],[f105]) ).
cnf(s2,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(sat_conversion,[],[f106]) ).
cnf(s4,plain,
( spl11_1
| ~ spl11_2 ),
inference(sat_conversion,[],[f395]) ).
cnf(s8,plain,
( ~ spl11_1
| spl11_2 ),
inference(sat_conversion,[],[f556]) ).
cnf(s9,plain,
spl11_1,
inference(rat,[],[s1,s4]) ).
cnf(s10,plain,
spl11_2,
inference(rat,[],[s8,s9]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s2,s10,s9]) ).
fof(f557,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU170+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n013.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 03:51:51 UTC 2026
% 0.16/0.36 % CPUTime :
% 0.16/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.39 Running first-order theorem proving
% 0.16/0.39 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
% 4.07/1.51 % (785463)Detected formulas, will run a generic FOF schedule.
% 4.07/1.51 % (785474)dis-21_1_sil=8000:lcm=predicate:random_seed=4056240887: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)
% 4.07/1.51 % (785474)Instruction limit reached!
% 4.07/1.51 % (785474)------------------------------
% 4.07/1.51 % (785474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.51 % (785474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.51 % (785474)CaDiCaL version: 2.1.3
% 4.07/1.51 % (785474)Termination reason: Instruction limit
% 4.07/1.51 % (785474)Termination phase: Saturation
% 4.07/1.51 % (785474)Time elapsed: 0.027 s
% 4.07/1.51 % (785474)Peak memory usage: 88 MB
% 4.07/1.51 % (785474)Instructions burned: 130 (million)
% 4.07/1.51 % (785468)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=4039104150:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.07/1.51 % (785470)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=2946063584:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.07/1.51 % (785472)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2433808119:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.07/1.51 % (785471)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3431934775:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.07/1.51 % (785469)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=2709305023:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.07/1.51 % (785473)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3958941352:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.07/1.51 % (785471)Refutation not found, incomplete strategy
% 4.07/1.51 % (785471)------------------------------
% 4.07/1.51 % (785471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.51 % (785471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.51 % (785471)CaDiCaL version: 2.1.3
% 4.07/1.51 % (785471)Termination reason: Refutation not found, incomplete strategy
% 4.07/1.51 % (785471)Time elapsed: 0.002 s
% 4.07/1.51 % (785471)Peak memory usage: 88 MB
% 4.07/1.51 % (785471)Instructions burned: 1 (million)
% 4.07/1.51 % (785472)Instruction limit reached!
% 4.07/1.51 % (785472)------------------------------
% 4.07/1.51 % (785472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.51 % (785472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.51 % (785472)CaDiCaL version: 2.1.3
% 4.07/1.51 % (785472)Termination reason: Instruction limit
% 4.07/1.51 % (785472)Termination phase: Saturation
% 4.07/1.51 % (785472)Time elapsed: 0.077 s
% 4.07/1.51 % (785472)Peak memory usage: 88 MB
% 4.07/1.51 % (785472)Instructions burned: 120 (million)
% 4.07/1.51 % (785473)Instruction limit reached!
% 4.07/1.51 % (785473)------------------------------
% 4.07/1.51 % (785473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.51 % (785473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.51 % (785473)CaDiCaL version: 2.1.3
% 4.07/1.51 % (785473)Termination reason: Instruction limit
% 4.07/1.51 % (785473)Termination phase: Saturation
% 4.07/1.51 % (785473)Time elapsed: 0.099 s
% 4.07/1.51 % (785473)Peak memory usage: 89 MB
% 4.07/1.51 % (785473)Instructions burned: 140 (million)
% 4.07/1.51 % (785476)lrs+10_1_sil=8000:sp=occurrence:random_seed=1439048818:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.07/1.51 % (785476)Instruction limit reached!
% 4.07/1.51 % (785476)------------------------------
% 4.07/1.51 % (785476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.51 % (785476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.51 % (785476)CaDiCaL version: 2.1.3
% 4.07/1.51 % (785476)Termination reason: Instruction limit
% 4.07/1.51 % (785476)Termination phase: Saturation
% 4.07/1.51 % (785476)Time elapsed: 0.099 s
% 4.07/1.51 % (785476)Peak memory usage: 91 MB
% 4.07/1.51 % (785476)Instructions burned: 286 (million)
% 4.07/1.51 % (785483)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3819191746:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.07/1.51 % (785471)------------------------------
% 4.07/1.51 % (785471)------------------------------
% 4.07/1.51 % (785484)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4158251682:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.07/1.51 % (785484)Refutation not found, incomplete strategy
% 4.07/1.51 % (785484)------------------------------
% 4.07/1.51 % (785484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.51 % (785484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.51 % (785484)CaDiCaL version: 2.1.3
% 4.07/1.51 % (785484)Termination reason: Refutation not found, incomplete strategy
% 4.07/1.51 % (785484)Time elapsed: 0.003 s
% 4.07/1.51 % (785484)Peak memory usage: 88 MB
% 4.07/1.51 % (785484)Instructions burned: 2 (million)
% 4.07/1.51 % (785483)Instruction limit reached!
% 4.07/1.51 % (785483)------------------------------
% 4.07/1.51 % (785483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.51 % (785483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.51 % (785483)CaDiCaL version: 2.1.3
% 4.07/1.51 % (785483)Termination reason: Instruction limit
% 4.07/1.51 % (785483)Termination phase: Saturation
% 4.07/1.51 % (785483)Time elapsed: 0.076 s
% 4.07/1.51 % (785483)Peak memory usage: 89 MB
% 4.07/1.51 % (785483)Instructions burned: 157 (million)
% 4.07/1.51 % (785486)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=782017989:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.07/1.51 % (785486)First to succeed.
% 4.07/1.51 % (785486)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-785463"
% 4.07/1.51 % (785489)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=43124747:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.07/1.51 % (785490)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4076219884:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.07/1.51 % (785486)Refutation found. Thanks to Tanya!
% 4.07/1.51 % SZS status Theorem for theBenchmark
% 4.07/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 5.45/1.70 % (785486)------------------------------
% 5.45/1.70 % (785486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.70 % (785486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.70 % (785486)CaDiCaL version: 2.1.3
% 5.45/1.70 % (785486)Termination reason: Refutation
% 5.45/1.70 % (785486)Time elapsed: 0.008 s
% 5.45/1.70 % (785486)Peak memory usage: 90 MB
% 5.45/1.70 % (785486)Instructions burned: 19 (million)
% 5.45/1.70 % (785486)------------------------------
% 5.45/1.70 % (785486)------------------------------
% 5.45/1.70 % (785463)Success in time 0.674 s
% 5.45/1.70 % Vampire exiting
%------------------------------------------------------------------------------