%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU420+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:48:53 PM UTC 2026
% Result : Theorem 2.66s 1.88s
% Output : Refutation 6.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 59 ( 25 unt; 2 def)
% Number of atoms : 126 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 123 ( 56 ~; 50 |; 6 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 73 ( 1 sgn 70 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f57,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f86,axiom,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f88,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X0,X2) )
=> r1_tarski(X0,k3_xboole_0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f571,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> v1_relat_1(k3_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_relat_1) ).
fof(f730,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> ( ( r1_tarski(X2,X3)
& r1_tarski(X0,X1) )
=> r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X3,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t158_relat_1) ).
fof(f4368,axiom,
! [X0] : k3_pua2mss1(X0) = k8_eqrel_1(X0,k6_partfun1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_pua2mss1) ).
fof(f4482,conjecture,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> r1_tarski(k9_relat_1(k3_xboole_0(X1,X2),k3_pua2mss1(X0)),k3_xboole_0(k9_relat_1(X1,k3_pua2mss1(X0)),k9_relat_1(X2,k3_pua2mss1(X0)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_relset_2) ).
fof(f4483,negated_conjecture,
~ ! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> r1_tarski(k9_relat_1(k3_xboole_0(X1,X2),k3_pua2mss1(X0)),k3_xboole_0(k9_relat_1(X1,k3_pua2mss1(X0)),k9_relat_1(X2,k3_pua2mss1(X0)))) ) ),
inference(negated_conjecture,[status(cth)],[f4482]) ).
fof(f4484,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f18]) ).
fof(f4508,plain,
? [X0,X1] :
( ? [X2] :
( ~ r1_tarski(k9_relat_1(k3_xboole_0(X1,X2),k3_pua2mss1(X0)),k3_xboole_0(k9_relat_1(X1,k3_pua2mss1(X0)),k9_relat_1(X2,k3_pua2mss1(X0))))
& v1_relat_1(X2) )
& v1_relat_1(X1) ),
inference(ennf_transformation,[],[f4483]) ).
fof(f4519,plain,
! [X0,X1] :
( v1_relat_1(k3_xboole_0(X0,X1))
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f571]) ).
fof(f4537,plain,
! [X0,X1,X2] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(ennf_transformation,[],[f88]) ).
fof(f4538,plain,
! [X0,X1,X2] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(flattening,[],[f4537]) ).
fof(f4547,plain,
! [X0,X1,X2] :
( ! [X3] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X3,X1))
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X3) )
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f730]) ).
fof(f4548,plain,
! [X0,X1,X2] :
( ! [X3] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X3,X1))
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X3) )
| ~ v1_relat_1(X2) ),
inference(flattening,[],[f4547]) ).
fof(f4568,plain,
( ~ r1_tarski(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0))))
& v1_relat_1(sK2)
& v1_relat_1(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f4508]) ).
fof(f4594,plain,
v1_relat_1(sK1),
inference(cnf_transformation,[],[f4568]) ).
fof(f4595,plain,
v1_relat_1(sK2),
inference(cnf_transformation,[],[f4568]) ).
fof(f4596,plain,
~ r1_tarski(k9_relat_1(k3_xboole_0(sK1,sK2),k3_pua2mss1(sK0)),k3_xboole_0(k9_relat_1(sK1,k3_pua2mss1(sK0)),k9_relat_1(sK2,k3_pua2mss1(sK0)))),
inference(cnf_transformation,[],[f4568]) ).
fof(f4603,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f4484]) ).
fof(f4612,plain,
! [X0,X1] :
( v1_relat_1(k3_xboole_0(X0,X1))
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f4519]) ).
fof(f4630,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f4638,plain,
! [X2,X0,X1] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(cnf_transformation,[],[f4538]) ).
fof(f4640,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f86]) ).
fof(f4644,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f4659,plain,
! [X2,X3,X0,X1] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X3,X1))
| ~ r1_tarski(X2,X3)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f4548]) ).
fof(f4697,plain,
! [X0] : k3_pua2mss1(X0) = k8_eqrel_1(X0,k6_partfun1(X0)),
inference(cnf_transformation,[],[f4368]) ).
fof(f4698,plain,
~ r1_tarski(k9_relat_1(k4_xboole_0(sK1,k4_xboole_0(sK1,sK2)),k8_eqrel_1(sK0,k6_partfun1(sK0))),k4_xboole_0(k9_relat_1(sK1,k8_eqrel_1(sK0,k6_partfun1(sK0))),k4_xboole_0(k9_relat_1(sK1,k8_eqrel_1(sK0,k6_partfun1(sK0))),k9_relat_1(sK2,k8_eqrel_1(sK0,k6_partfun1(sK0)))))),
inference(definition_unfolding,[],[f4596,f4630,f4697,f4630,f4697,f4697]) ).
fof(f4704,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| v1_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,X1))) ),
inference(definition_unfolding,[],[f4612,f4630]) ).
fof(f4729,plain,
! [X2,X0,X1] :
( r1_tarski(X0,k4_xboole_0(X1,k4_xboole_0(X1,X2)))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X0,X2) ),
inference(definition_unfolding,[],[f4638,f4630]) ).
fof(f4731,plain,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X0),
inference(definition_unfolding,[],[f4640,f4630]) ).
fof(f4735,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(definition_unfolding,[],[f4644,f4630,f4630]) ).
fof(f4781,plain,
! [X0] : v1_relat_1(k4_xboole_0(X0,k4_xboole_0(X0,sK2))),
inference(resolution,[],[f4704,f4595]) ).
fof(f5135,plain,
! [X0,X1] : r1_tarski(k4_xboole_0(X0,k4_xboole_0(X0,X1)),X1),
inference(superposition,[],[f4731,f4735]) ).
fof(f5834,plain,
( ~ r1_tarski(k9_relat_1(k4_xboole_0(sK1,k4_xboole_0(sK1,sK2)),k8_eqrel_1(sK0,k6_partfun1(sK0))),k9_relat_1(sK1,k8_eqrel_1(sK0,k6_partfun1(sK0))))
| ~ r1_tarski(k9_relat_1(k4_xboole_0(sK1,k4_xboole_0(sK1,sK2)),k8_eqrel_1(sK0,k6_partfun1(sK0))),k9_relat_1(sK2,k8_eqrel_1(sK0,k6_partfun1(sK0)))) ),
inference(resolution,[],[f4729,f4698]) ).
fof(f5852,definition,
( spl14_3
<=> r1_tarski(k9_relat_1(k4_xboole_0(sK1,k4_xboole_0(sK1,sK2)),k8_eqrel_1(sK0,k6_partfun1(sK0))),k9_relat_1(sK2,k8_eqrel_1(sK0,k6_partfun1(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f5854,plain,
( ~ r1_tarski(k9_relat_1(k4_xboole_0(sK1,k4_xboole_0(sK1,sK2)),k8_eqrel_1(sK0,k6_partfun1(sK0))),k9_relat_1(sK2,k8_eqrel_1(sK0,k6_partfun1(sK0))))
| spl14_3 ),
inference(avatar_component_clause,[],[f5852]) ).
fof(f5856,definition,
( spl14_4
<=> r1_tarski(k9_relat_1(k4_xboole_0(sK1,k4_xboole_0(sK1,sK2)),k8_eqrel_1(sK0,k6_partfun1(sK0))),k9_relat_1(sK1,k8_eqrel_1(sK0,k6_partfun1(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition]) ).
fof(f5858,plain,
( ~ r1_tarski(k9_relat_1(k4_xboole_0(sK1,k4_xboole_0(sK1,sK2)),k8_eqrel_1(sK0,k6_partfun1(sK0))),k9_relat_1(sK1,k8_eqrel_1(sK0,k6_partfun1(sK0))))
| spl14_4 ),
inference(avatar_component_clause,[],[f5856]) ).
fof(f5859,plain,
( ~ spl14_3
| ~ spl14_4 ),
inference(avatar_split_clause,[],[f5834,f5856,f5852]) ).
fof(f10024,plain,
( ~ r1_tarski(k4_xboole_0(sK1,k4_xboole_0(sK1,sK2)),sK2)
| ~ r1_tarski(k8_eqrel_1(sK0,k6_partfun1(sK0)),k8_eqrel_1(sK0,k6_partfun1(sK0)))
| ~ v1_relat_1(sK2)
| ~ v1_relat_1(k4_xboole_0(sK1,k4_xboole_0(sK1,sK2)))
| spl14_3 ),
inference(resolution,[],[f5854,f4659]) ).
fof(f10028,plain,
( ~ r1_tarski(k8_eqrel_1(sK0,k6_partfun1(sK0)),k8_eqrel_1(sK0,k6_partfun1(sK0)))
| ~ v1_relat_1(sK2)
| ~ v1_relat_1(k4_xboole_0(sK1,k4_xboole_0(sK1,sK2)))
| spl14_3 ),
inference(forward_subsumption_resolution,[],[f10024,f5135]) ).
fof(f10030,plain,
( ~ v1_relat_1(sK2)
| ~ v1_relat_1(k4_xboole_0(sK1,k4_xboole_0(sK1,sK2)))
| spl14_3 ),
inference(forward_subsumption_resolution,[],[f10028,f4603]) ).
fof(f10032,plain,
( ~ v1_relat_1(k4_xboole_0(sK1,k4_xboole_0(sK1,sK2)))
| spl14_3 ),
inference(forward_subsumption_resolution,[],[f10030,f4595]) ).
fof(f10035,plain,
( $false
| spl14_3 ),
inference(forward_subsumption_resolution,[],[f10032,f4781]) ).
fof(f10036,plain,
spl14_3,
inference(avatar_contradiction_clause,[],[f10035]) ).
fof(f10078,plain,
( ~ r1_tarski(k4_xboole_0(sK1,k4_xboole_0(sK1,sK2)),sK1)
| ~ r1_tarski(k8_eqrel_1(sK0,k6_partfun1(sK0)),k8_eqrel_1(sK0,k6_partfun1(sK0)))
| ~ v1_relat_1(sK1)
| ~ v1_relat_1(k4_xboole_0(sK1,k4_xboole_0(sK1,sK2)))
| spl14_4 ),
inference(resolution,[],[f5858,f4659]) ).
fof(f10082,plain,
( ~ r1_tarski(k8_eqrel_1(sK0,k6_partfun1(sK0)),k8_eqrel_1(sK0,k6_partfun1(sK0)))
| ~ v1_relat_1(sK1)
| ~ v1_relat_1(k4_xboole_0(sK1,k4_xboole_0(sK1,sK2)))
| spl14_4 ),
inference(forward_subsumption_resolution,[],[f10078,f4731]) ).
fof(f10084,plain,
( ~ v1_relat_1(sK1)
| ~ v1_relat_1(k4_xboole_0(sK1,k4_xboole_0(sK1,sK2)))
| spl14_4 ),
inference(forward_subsumption_resolution,[],[f10082,f4603]) ).
fof(f10086,plain,
( ~ v1_relat_1(k4_xboole_0(sK1,k4_xboole_0(sK1,sK2)))
| spl14_4 ),
inference(forward_subsumption_resolution,[],[f10084,f4594]) ).
fof(f10089,plain,
( $false
| spl14_4 ),
inference(forward_subsumption_resolution,[],[f10086,f4781]) ).
fof(f10090,plain,
spl14_4,
inference(avatar_contradiction_clause,[],[f10089]) ).
cnf(s13,plain,
( ~ spl14_3
| ~ spl14_4 ),
inference(sat_conversion,[],[f5859]) ).
cnf(s21,plain,
spl14_3,
inference(sat_conversion,[],[f10036]) ).
cnf(s25,plain,
spl14_4,
inference(sat_conversion,[],[f10090]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s13,s25,s21]) ).
fof(f10091,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU420+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n008.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 05:18:26 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 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
% 2.66/1.88 % (1911980)Detected formulas, will run a generic FOF schedule.
% 2.66/1.88 % (1911988)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=493449917:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 2.66/1.88 % (1911988)Instruction limit reached!
% 2.66/1.88 % (1911988)------------------------------
% 2.66/1.88 % (1911988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.88 % (1911988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.88 % (1911988)CaDiCaL version: 2.1.3
% 2.66/1.88 % (1911988)Termination reason: Instruction limit
% 2.66/1.88 % (1911988)Termination phase: Saturation
% 2.66/1.88 % (1911988)Time elapsed: 0.041 s
% 2.66/1.88 % (1911988)Peak memory usage: 94 MB
% 2.66/1.88 % (1911988)Instructions burned: 110 (million)
% 2.66/1.88 % (1911985)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=1459459969:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 2.66/1.88 % (1911990)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2327507025:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 2.66/1.88 % (1911987)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=1767082622:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 2.66/1.88 % (1911986)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=1584346626:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 2.66/1.88 % (1911989)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3114454820:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 2.66/1.88 % (1911991)dis-21_1_sil=8000:lcm=predicate:random_seed=2682532960:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 2.66/1.88 % (1911989)Instruction limit reached!
% 2.66/1.88 % (1911989)------------------------------
% 2.66/1.88 % (1911989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.88 % (1911989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.88 % (1911989)CaDiCaL version: 2.1.3
% 2.66/1.88 % (1911989)Termination reason: Instruction limit
% 2.66/1.88 % (1911989)Termination phase: Saturation
% 2.66/1.88 % (1911989)Time elapsed: 0.072 s
% 2.66/1.88 % (1911989)Peak memory usage: 94 MB
% 2.66/1.88 % (1911989)Instructions burned: 120 (million)
% 2.66/1.88 % (1911990)Instruction limit reached!
% 2.66/1.88 % (1911990)------------------------------
% 2.66/1.88 % (1911990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.88 % (1911990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.88 % (1911990)CaDiCaL version: 2.1.3
% 2.66/1.88 % (1911990)Termination reason: Instruction limit
% 2.66/1.88 % (1911990)Termination phase: Preprocessing 3
% 2.66/1.88 % (1911990)Time elapsed: 0.087 s
% 2.66/1.88 % (1911990)Peak memory usage: 94 MB
% 2.66/1.88 % (1911990)Instructions burned: 139 (million)
% 2.66/1.88 % (1911991)Instruction limit reached!
% 2.66/1.88 % (1911991)------------------------------
% 2.66/1.88 % (1911991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.88 % (1911991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.88 % (1911991)CaDiCaL version: 2.1.3
% 2.66/1.88 % (1911991)Termination reason: Instruction limit
% 2.66/1.88 % (1911991)Termination phase: Clausification
% 2.66/1.88 % (1911991)Time elapsed: 0.090 s
% 2.66/1.88 % (1911991)Peak memory usage: 95 MB
% 2.66/1.88 % (1911991)Instructions burned: 129 (million)
% 2.66/1.88 % (1911993)lrs+10_1_sil=8000:sp=occurrence:random_seed=3889011699:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 2.66/1.88 % (1912000)lrs+10_1_sil=32000:urr=on:br=off:random_seed=123079391:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 2.66/1.88 % (1911993)Instruction limit reached!
% 2.66/1.88 % (1911993)------------------------------
% 2.66/1.88 % (1911993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.88 % (1911993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.88 % (1911993)CaDiCaL version: 2.1.3
% 2.66/1.88 % (1911993)Termination reason: Instruction limit
% 2.66/1.88 % (1911993)Termination phase: Saturation
% 2.66/1.88 % (1911993)Time elapsed: 0.105 s
% 2.66/1.88 % (1911993)Peak memory usage: 98 MB
% 2.66/1.88 % (1911993)Instructions burned: 287 (million)
% 2.66/1.88 % (1912002)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=1308903161:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 2.66/1.88 % (1912001)lrs+1011_1_sil=32000:sp=occurrence:random_seed=618274359:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 2.66/1.88 % (1912000)Instruction limit reached!
% 2.66/1.88 % (1912000)------------------------------
% 2.66/1.88 % (1912000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.88 % (1912000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.88 % (1912000)CaDiCaL version: 2.1.3
% 2.66/1.88 % (1912000)Termination reason: Instruction limit
% 2.66/1.88 % (1912000)Termination phase: Saturation
% 2.66/1.88 % (1912000)Time elapsed: 0.091 s
% 2.66/1.88 % (1912000)Peak memory usage: 95 MB
% 2.66/1.88 % (1912000)Instructions burned: 157 (million)
% 2.66/1.88 % (1912005)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3486174066:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 2.66/1.88 % (1912002)Instruction limit reached!
% 2.66/1.88 % (1912002)------------------------------
% 2.66/1.88 % (1912002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.88 % (1912002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.88 % (1912002)CaDiCaL version: 2.1.3
% 2.66/1.88 % (1912002)Termination reason: Instruction limit
% 2.66/1.88 % (1912002)Termination phase: Property scanning
% 2.66/1.88 % (1912002)Time elapsed: 0.147 s
% 2.66/1.88 % (1912002)Peak memory usage: 98 MB
% 2.66/1.88 % (1912002)Instructions burned: 249 (million)
% 2.66/1.88 % (1912001)First to succeed.
% 2.66/1.88 % (1912001)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1911980"
% 2.66/1.88 % (1912005)Instruction limit reached!
% 2.66/1.88 % (1912005)------------------------------
% 2.66/1.88 % (1912005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.88 % (1912005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.88 % (1912005)CaDiCaL version: 2.1.3
% 2.66/1.88 % (1912005)Termination reason: Instruction limit
% 2.66/1.88 % (1912005)Termination phase: Saturation
% 2.66/1.88 % (1912005)Time elapsed: 0.094 s
% 2.66/1.88 % (1912005)Peak memory usage: 97 MB
% 2.66/1.88 % (1912005)Instructions burned: 296 (million)
% 2.66/1.88 % (1912008)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3439741912:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 2.66/1.88 % (1912010)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3746561513:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 2.66/1.88 % (1912011)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3638680820:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 2.66/1.88 % (1912011)Instruction limit reached!
% 2.66/1.88 % (1912011)------------------------------
% 2.66/1.88 % (1912011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.88 % (1912011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.88 % (1912011)CaDiCaL version: 2.1.3
% 2.66/1.88 % (1912011)Termination reason: Instruction limit
% 2.66/1.88 % (1912011)Termination phase: Preprocessing 3
% 2.66/1.88 % (1912011)Time elapsed: 0.048 s
% 2.66/1.88 % (1912011)Peak memory usage: 97 MB
% 2.66/1.88 % (1912011)Instructions burned: 128 (million)
% 2.66/1.88 % (1912010)Instruction limit reached!
% 2.66/1.88 % (1912010)------------------------------
% 2.66/1.88 % (1912010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.88 % (1912010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.88 % (1912010)CaDiCaL version: 2.1.3
% 2.66/1.88 % (1912010)Termination reason: Instruction limit
% 2.66/1.88 % (1912010)Termination phase: Saturation
% 2.66/1.88 % (1912010)Time elapsed: 0.069 s
% 2.66/1.88 % (1912010)Peak memory usage: 95 MB
% 2.66/1.88 % (1912010)Instructions burned: 113 (million)
% 2.66/1.88 % (1912001)Refutation found. Thanks to Tanya!
% 2.66/1.88 % SZS status Theorem for theBenchmark
% 2.66/1.88 % SZS output start Proof for theBenchmark
% See solution above
% 6.70/2.08 % (1912001)------------------------------
% 6.70/2.08 % (1912001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.70/2.08 % (1912001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.70/2.08 % (1912001)CaDiCaL version: 2.1.3
% 6.70/2.08 % (1912001)Termination reason: Refutation
% 6.70/2.08 % (1912001)Time elapsed: 0.161 s
% 6.70/2.08 % (1912001)Peak memory usage: 97 MB
% 6.70/2.08 % (1912001)Instructions burned: 249 (million)
% 6.70/2.08 % (1912001)------------------------------
% 6.70/2.08 % (1912001)------------------------------
% 6.70/2.08 % (1911980)Success in time 1.005 s
% 6.70/2.08 % Vampire exiting
%------------------------------------------------------------------------------