%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW473+7 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:30:30 PM UTC 2026
% Result : Theorem 9.87s 2.18s
% Output : Refutation 9.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 15 unt; 2 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 51 ( 23 ~; 19 |; 5 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-4 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f165,axiom,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X4))
=> hBOOL(hAPP(fun(X0,bool),bool,hAPP(X0,fun(fun(X0,bool),bool),member(X0),hAPP(X1,X0,X2,X3)),hAPP(fun(X1,bool),fun(X0,bool),hAPP(fun(X1,X0),fun(fun(X1,bool),fun(X0,bool)),image(X1,X0),X2),X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_imageI) ).
fof(f174,axiom,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),ord_less_eq(fun(X0,bool)),hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),X2)),X3))
<=> ( hBOOL(hAPP(fun(X0,bool),bool,hAPP(X0,fun(fun(X0,bool),bool),member(X0),X1),X3))
& hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),ord_less_eq(fun(X0,bool)),X2),X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_insert__subset) ).
fof(f1196,axiom,
hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f1199,axiom,
hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
fof(f1201,conjecture,
hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).
fof(f1202,negated_conjecture,
~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(negated_conjecture,[status(cth)],[f1201]) ).
fof(f1214,plain,
~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(flattening,[],[f1202]) ).
fof(f1340,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP(fun(X0,bool),bool,hAPP(X0,fun(fun(X0,bool),bool),member(X0),hAPP(X1,X0,X2,X3)),hAPP(fun(X1,bool),fun(X0,bool),hAPP(fun(X1,X0),fun(fun(X1,bool),fun(X0,bool)),image(X1,X0),X2),X4)))
| ~ hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X4)) ),
inference(ennf_transformation,[],[f165]) ).
fof(f2211,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),ord_less_eq(fun(X0,bool)),hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),X2)),X3))
| ~ hBOOL(hAPP(fun(X0,bool),bool,hAPP(X0,fun(fun(X0,bool),bool),member(X0),X1),X3))
| ~ hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),ord_less_eq(fun(X0,bool)),X2),X3)) )
& ( ( hBOOL(hAPP(fun(X0,bool),bool,hAPP(X0,fun(fun(X0,bool),bool),member(X0),X1),X3))
& hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),ord_less_eq(fun(X0,bool)),X2),X3)) )
| ~ hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),ord_less_eq(fun(X0,bool)),hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),X2)),X3)) ) ),
inference(nnf_transformation,[],[f174]) ).
fof(f2212,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),ord_less_eq(fun(X0,bool)),hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),X2)),X3))
| ~ hBOOL(hAPP(fun(X0,bool),bool,hAPP(X0,fun(fun(X0,bool),bool),member(X0),X1),X3))
| ~ hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),ord_less_eq(fun(X0,bool)),X2),X3)) )
& ( ( hBOOL(hAPP(fun(X0,bool),bool,hAPP(X0,fun(fun(X0,bool),bool),member(X0),X1),X3))
& hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),ord_less_eq(fun(X0,bool)),X2),X3)) )
| ~ hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),ord_less_eq(fun(X0,bool)),hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),X2)),X3)) ) ),
inference(flattening,[],[f2211]) ).
fof(f2809,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP(fun(X0,bool),bool,hAPP(X0,fun(fun(X0,bool),bool),member(X0),hAPP(X1,X0,X2,X3)),hAPP(fun(X1,bool),fun(X0,bool),hAPP(fun(X1,X0),fun(fun(X1,bool),fun(X0,bool)),image(X1,X0),X2),X4)))
| ~ hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X4)) ),
inference(cnf_transformation,[],[f1340]) ).
fof(f2821,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),ord_less_eq(fun(X0,bool)),hAPP(fun(X0,bool),fun(X0,bool),hAPP(X0,fun(fun(X0,bool),fun(X0,bool)),insert(X0),X1),X2)),X3))
| ~ hBOOL(hAPP(fun(X0,bool),bool,hAPP(X0,fun(fun(X0,bool),bool),member(X0),X1),X3))
| ~ hBOOL(hAPP(fun(X0,bool),bool,hAPP(fun(X0,bool),fun(fun(X0,bool),bool),ord_less_eq(fun(X0,bool)),X2),X3)) ),
inference(cnf_transformation,[],[f2212]) ).
fof(f4332,plain,
hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(cnf_transformation,[],[f1196]) ).
fof(f4335,plain,
hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)),
inference(cnf_transformation,[],[f1199]) ).
fof(f4337,plain,
~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
inference(cnf_transformation,[],[f1214]) ).
fof(f4985,definition,
( spl245_1
<=> hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))) ),
introduced(definition,[new_symbols(definition,[spl245_1])],[avatar_definition]) ).
fof(f4987,plain,
( ~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))
| spl245_1 ),
inference(avatar_component_clause,[],[f4985]) ).
fof(f4988,plain,
~ spl245_1,
inference(avatar_split_clause,[],[f4337,f4985]) ).
fof(f4989,plain,
( ~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),hAPP(pname,x_a,mgt_call,pn)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))
| ~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))
| spl245_1 ),
inference(resolution,[],[f4987,f2821]) ).
fof(f5149,plain,
( ~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),hAPP(pname,x_a,mgt_call,pn)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))
| spl245_1 ),
inference(forward_subsumption_resolution,[],[f4989,f4332]) ).
fof(f5191,definition,
( spl245_2
<=> hBOOL(hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),hAPP(pname,x_a,mgt_call,pn)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))) ),
introduced(definition,[new_symbols(definition,[spl245_2])],[avatar_definition]) ).
fof(f5193,plain,
( ~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),hAPP(pname,x_a,mgt_call,pn)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))
| spl245_2 ),
inference(avatar_component_clause,[],[f5191]) ).
fof(f5194,plain,
( ~ spl245_2
| spl245_1 ),
inference(avatar_split_clause,[],[f5149,f4985,f5191]) ).
fof(f5195,plain,
( ~ hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u))
| spl245_2 ),
inference(resolution,[],[f5193,f2809]) ).
fof(f5334,plain,
( $false
| spl245_2 ),
inference(forward_subsumption_resolution,[],[f5195,f4335]) ).
fof(f5335,plain,
spl245_2,
inference(avatar_contradiction_clause,[],[f5334]) ).
cnf(s1,plain,
~ spl245_1,
inference(sat_conversion,[],[f4988]) ).
cnf(s2,plain,
( spl245_1
| ~ spl245_2 ),
inference(sat_conversion,[],[f5194]) ).
cnf(s3,plain,
spl245_2,
inference(sat_conversion,[],[f5335]) ).
cnf(s4,plain,
spl245_1,
inference(rat,[],[s2,s3]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4]) ).
fof(f5375,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW473+7 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n003.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 14:08:28 UTC 2026
% 0.09/0.24 % CPUTime :
% 0.09/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.29 Running first-order theorem proving
% 0.24/0.29 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
% 5.96/2.04 % (1601478)Detected formulas, will run a generic FOF schedule.
% 5.96/2.04 % (1601490)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=300284903:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.96/2.04 % (1601494)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=513998130:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.96/2.04 % (1601488)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=2584275517:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.96/2.04 % (1601493)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3628643146:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.96/2.04 % (1601491)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2587762780:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.96/2.04 % (1601489)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=2135606470:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.96/2.04 % (1601495)dis-21_1_sil=8000:lcm=predicate:random_seed=2102002732: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)
% 5.96/2.04 % (1601494)Instruction limit reached!
% 5.96/2.04 % (1601494)------------------------------
% 5.96/2.04 % (1601494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/2.04 % (1601494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/2.04 % (1601494)CaDiCaL version: 2.1.3
% 5.96/2.04 % (1601494)Termination reason: Instruction limit
% 5.96/2.04 % (1601494)Termination phase: Property scanning
% 5.96/2.04 % (1601494)Time elapsed: 0.110 s
% 5.96/2.04 % (1601494)Peak memory usage: 88 MB
% 5.96/2.04 % (1601494)Instructions burned: 140 (million)
% 5.96/2.04 % (1601491)Instruction limit reached!
% 5.96/2.04 % (1601491)------------------------------
% 5.96/2.04 % (1601491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/2.04 % (1601491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/2.04 % (1601491)CaDiCaL version: 2.1.3
% 5.96/2.04 % (1601491)Termination reason: Instruction limit
% 5.96/2.04 % (1601491)Termination phase: Saturation
% 5.96/2.04 % (1601491)Time elapsed: 0.087 s
% 5.96/2.04 % (1601491)Peak memory usage: 89 MB
% 5.96/2.04 % (1601491)Instructions burned: 110 (million)
% 5.96/2.04 % (1601493)Instruction limit reached!
% 5.96/2.04 % (1601493)------------------------------
% 5.96/2.04 % (1601493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/2.04 % (1601493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/2.04 % (1601493)CaDiCaL version: 2.1.3
% 5.96/2.04 % (1601493)Termination reason: Instruction limit
% 5.96/2.04 % (1601493)Termination phase: Saturation
% 5.96/2.04 % (1601493)Time elapsed: 0.095 s
% 5.96/2.04 % (1601493)Peak memory usage: 89 MB
% 5.96/2.04 % (1601493)Instructions burned: 119 (million)
% 5.96/2.04 % (1601495)Instruction limit reached!
% 5.96/2.04 % (1601495)------------------------------
% 5.96/2.04 % (1601495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/2.04 % (1601495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/2.04 % (1601495)CaDiCaL version: 2.1.3
% 5.96/2.04 % (1601495)Termination reason: Instruction limit
% 5.96/2.04 % (1601495)Termination phase: Property scanning
% 5.96/2.04 % (1601495)Time elapsed: 0.102 s
% 5.96/2.04 % (1601495)Peak memory usage: 88 MB
% 5.96/2.04 % (1601495)Instructions burned: 130 (million)
% 5.96/2.04 % (1601505)lrs+10_1_sil=8000:sp=occurrence:random_seed=2177023895:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 5.96/2.04 % (1601506)lrs+10_1_sil=32000:urr=on:br=off:random_seed=423354589:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 5.96/2.04 % (1601507)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4261017066:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 5.96/2.04 % (1601508)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=229054761:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.96/2.04 % (1601506)Instruction limit reached!
% 5.96/2.04 % (1601506)------------------------------
% 5.96/2.04 % (1601506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/2.04 % (1601506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/2.04 % (1601506)CaDiCaL version: 2.1.3
% 5.96/2.04 % (1601506)Termination reason: Instruction limit
% 5.96/2.04 % (1601506)Termination phase: Saturation
% 5.96/2.04 % (1601506)Time elapsed: 0.136 s
% 5.96/2.04 % (1601506)Peak memory usage: 90 MB
% 5.96/2.04 % (1601506)Instructions burned: 157 (million)
% 5.96/2.04 % (1601508)Instruction limit reached!
% 5.96/2.04 % (1601508)------------------------------
% 5.96/2.04 % (1601508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/2.04 % (1601508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/2.04 % (1601508)CaDiCaL version: 2.1.3
% 5.96/2.04 % (1601508)Termination reason: Instruction limit
% 5.96/2.04 % (1601508)Termination phase: Saturation
% 5.96/2.04 % (1601508)Time elapsed: 0.209 s
% 5.96/2.04 % (1601508)Peak memory usage: 91 MB
% 5.96/2.04 % (1601508)Instructions burned: 248 (million)
% 5.96/2.04 % (1601505)Instruction limit reached!
% 5.96/2.04 % (1601505)------------------------------
% 5.96/2.04 % (1601505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/2.04 % (1601505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/2.04 % (1601505)CaDiCaL version: 2.1.3
% 5.96/2.04 % (1601505)Termination reason: Instruction limit
% 5.96/2.04 % (1601505)Termination phase: Saturation
% 5.96/2.04 % (1601505)Time elapsed: 0.257 s
% 5.96/2.04 % (1601505)Peak memory usage: 91 MB
% 5.96/2.04 % (1601505)Instructions burned: 285 (million)
% 5.96/2.04 % (1601507)Instruction limit reached!
% 5.96/2.04 % (1601507)------------------------------
% 5.96/2.04 % (1601507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/2.04 % (1601507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/2.04 % (1601507)CaDiCaL version: 2.1.3
% 5.96/2.04 % (1601507)Termination reason: Instruction limit
% 5.96/2.04 % (1601507)Termination phase: Saturation
% 5.96/2.04 % (1601507)Time elapsed: 0.303 s
% 5.96/2.04 % (1601507)Peak memory usage: 91 MB
% 5.96/2.04 % (1601507)Instructions burned: 325 (million)
% 5.96/2.04 % (1601513)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1482436856:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 5.96/2.04 % (1601515)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2406867465:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 5.96/2.04 % (1601514)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2527849795:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 5.96/2.04 % (1601515)Instruction limit reached!
% 5.96/2.04 % (1601515)------------------------------
% 5.96/2.04 % (1601515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/2.04 % (1601515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/2.04 % (1601515)CaDiCaL version: 2.1.3
% 5.96/2.04 % (1601515)Termination reason: Instruction limit
% 5.96/2.04 % (1601515)Termination phase: Property scanning
% 5.96/2.04 % (1601515)Time elapsed: 0.094 s
% 5.96/2.04 % (1601515)Peak memory usage: 88 MB
% 5.96/2.04 % (1601515)Instructions burned: 113 (million)
% 5.96/2.04 % (1601517)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1881245536:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 5.96/2.04 % (1601490)First to succeed.
% 5.96/2.04 % (1601490)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1601478"
% 5.96/2.04 % (1601513)Instruction limit reached!
% 5.96/2.04 % (1601513)------------------------------
% 5.96/2.04 % (1601513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/2.04 % (1601513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/2.04 % (1601513)CaDiCaL version: 2.1.3
% 5.96/2.04 % (1601513)Termination reason: Instruction limit
% 5.96/2.04 % (1601513)Termination phase: Saturation
% 5.96/2.04 % (1601513)Time elapsed: 0.248 s
% 5.96/2.04 % (1601513)Peak memory usage: 92 MB
% 5.96/2.04 % (1601513)Instructions burned: 295 (million)
% 5.96/2.04 % (1601517)Instruction limit reached!
% 5.96/2.04 % (1601517)------------------------------
% 5.96/2.04 % (1601517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.96/2.04 % (1601517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/2.18 % (1601517)CaDiCaL version: 2.1.3
% 9.87/2.18 % (1601517)Termination reason: Instruction limit
% 9.87/2.18 % (1601517)Termination phase: Property scanning
% 9.87/2.18 % (1601517)Time elapsed: 0.100 s
% 9.87/2.18 % (1601517)Peak memory usage: 88 MB
% 9.87/2.18 % (1601517)Instructions burned: 128 (million)
% 9.87/2.18 % (1601523)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1187099171:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 9.87/2.18 % (1601524)lrs+10_1_sil=8000:sp=occurrence:random_seed=2158545131:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 9.87/2.18 % (1601490)Refutation found. Thanks to Tanya!
% 9.87/2.18 % SZS status Theorem for theBenchmark
% 9.87/2.18 % SZS output start Proof for theBenchmark
% See solution above
% 9.87/2.19 % (1601490)------------------------------
% 9.87/2.19 % (1601490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.87/2.19 % (1601490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/2.19 % (1601490)CaDiCaL version: 2.1.3
% 9.87/2.19 % (1601490)Termination reason: Refutation
% 9.87/2.19 % (1601490)Time elapsed: 0.916 s
% 9.87/2.19 % (1601490)Peak memory usage: 165 MB
% 9.87/2.19 % (1601490)Instructions burned: 1773 (million)
% 9.87/2.19 % (1601490)------------------------------
% 9.87/2.19 % (1601490)------------------------------
% 9.87/2.19 % (1601478)Success in time 1.368 s
% 9.87/2.19 % Vampire exiting
%------------------------------------------------------------------------------