%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM403+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:15:04 PM UTC 2026
% Result : Theorem 8.42s 7.18s
% Output : Refutation 8.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 58 ( 7 unt; 0 def)
% Number of atoms : 214 ( 10 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 255 ( 99 ~; 102 |; 32 &)
% ( 9 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 119 ( 108 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_ordinal1) ).
fof(f11,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f12,axiom,
! [X0,X1] :
( X1 = union(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X2,X3)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
fof(f38,axiom,
! [X0,X1] :
( ( ordinal(X0)
& ordinal(X1) )
=> ( ordinal_subset(X0,X1)
<=> subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).
fof(f43,axiom,
! [X0] :
( ordinal(X0)
=> ordinal(succ(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_ordinal1) ).
fof(f45,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ( in(X0,succ(X1))
<=> ordinal_subset(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_ordinal1) ).
fof(f46,axiom,
! [X0] :
( ! [X1] :
( in(X1,X0)
=> ordinal(X1) )
=> ordinal(union(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_ordinal1) ).
fof(f47,conjecture,
! [X0] :
~ ( ! [X1] :
( in(X1,X0)
=> ordinal(X1) )
& ! [X1] :
( ordinal(X1)
=> ~ subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_ordinal1) ).
fof(f48,negated_conjecture,
~ ! [X0] :
~ ( ! [X1] :
( in(X1,X0)
=> ordinal(X1) )
& ! [X1] :
( ordinal(X1)
=> ~ subset(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f57,plain,
~ ! [X0] :
~ ( ! [X1] :
( in(X1,X0)
=> ordinal(X1) )
& ! [X2] :
( ordinal(X2)
=> ~ subset(X0,X2) ) ),
inference(rectify,[],[f48]) ).
fof(f78,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f85,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f86,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(flattening,[],[f85]) ).
fof(f90,plain,
! [X0] :
( ordinal(succ(X0))
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ( in(X0,succ(X1))
<=> ordinal_subset(X0,X1) )
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f94,plain,
! [X0] :
( ordinal(union(X0))
| ? [X1] :
( ~ ordinal(X1)
& in(X1,X0) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f95,plain,
? [X0] :
( ! [X1] :
( ordinal(X1)
| ~ in(X1,X0) )
& ! [X2] :
( ~ subset(X0,X2)
| ~ ordinal(X2) ) ),
inference(ennf_transformation,[],[f57]) ).
fof(f102,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,[],[f78]) ).
fof(f103,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,[],[f102]) ).
fof(f104,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))],[f103]) ).
fof(f105,plain,
! [X0,X1] :
( ( X1 = union(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X2,X3)
| ~ in(X3,X0) )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X2,X3)
& in(X3,X0) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X2,X3)
| ~ in(X3,X0) ) )
& ( ? [X3] :
( in(X2,X3)
& in(X3,X0) )
| ~ in(X2,X1) ) )
| union(X0) != X1 ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f106,plain,
! [X0,X1] :
( ( X1 = union(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X2,X3)
| ~ in(X3,X0) )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X2,X4)
& in(X4,X0) )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X5,X6)
| ~ in(X6,X0) ) )
& ( ? [X7] :
( in(X5,X7)
& in(X7,X0) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
! [X0,X1] :
( ( X1 = union(X0)
| ( ( ! [X3] :
( ~ in(sK1(X0,X1),X3)
| ~ in(X3,X0) )
| ~ in(sK1(X0,X1),X1) )
& ( ( in(sK1(X0,X1),sK2(X0,X1))
& in(sK2(X0,X1),X0) )
| in(sK1(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X5,X6)
| ~ in(X6,X0) ) )
& ( ( in(X5,sK3(X0,X5))
& in(sK3(X0,X5),X0) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X2,sK1(X0,X1)),skolemize(X4,sK2(X0,X1)),skolemize(X7,sK3(X0,X5))],[f106]) ).
fof(f122,plain,
! [X0,X1] :
( ( ( ordinal_subset(X0,X1)
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ ordinal_subset(X0,X1) ) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(nnf_transformation,[],[f86]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ( ( in(X0,succ(X1))
| ~ ordinal_subset(X0,X1) )
& ( ordinal_subset(X0,X1)
| ~ in(X0,succ(X1)) ) )
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(nnf_transformation,[],[f93]) ).
fof(f124,plain,
! [X0] :
( ordinal(union(X0))
| ( ~ ordinal(sK18(X0))
& in(sK18(X0),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X1,sK18(X0))],[f94]) ).
fof(f125,plain,
( ! [X1] :
( ordinal(X1)
| ~ in(X1,sK19) )
& ! [X2] :
( ~ subset(sK19,X2)
| ~ ordinal(X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f95]) ).
fof(f140,plain,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f142,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f143,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f146,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(X5,X6)
| ~ in(X6,X0)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f107]) ).
fof(f206,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ordinal_subset(X0,X1)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f211,plain,
! [X0] :
( ordinal(succ(X0))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f214,plain,
! [X0,X1] :
( in(X0,succ(X1))
| ~ ordinal_subset(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f215,plain,
! [X0] :
( in(sK18(X0),X0)
| ordinal(union(X0)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f216,plain,
! [X0] :
( ~ ordinal(sK18(X0))
| ordinal(union(X0)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f217,plain,
! [X2] :
( ~ subset(sK19,X2)
| ~ ordinal(X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f218,plain,
! [X1] :
( ~ in(X1,sK19)
| ordinal(X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f231,plain,
! [X0] :
( ordinal(set_union2(X0,singleton(X0)))
| ~ ordinal(X0) ),
inference(definition_unfolding,[],[f211,f140]) ).
fof(f232,plain,
! [X0,X1] :
( in(X0,set_union2(X1,singleton(X1)))
| ~ ordinal_subset(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(definition_unfolding,[],[f214,f140]) ).
fof(f234,plain,
! [X0,X6,X5] :
( ~ in(X6,X0)
| ~ in(X5,X6)
| in(X5,union(X0)) ),
inference(equality_resolution,[],[f146]) ).
fof(f246,plain,
! [X0] :
( ordinal(sK0(sK19,X0))
| subset(sK19,X0) ),
inference(resolution,[],[f218,f142]) ).
fof(f247,plain,
( ordinal(union(sK19))
| ordinal(sK18(sK19)) ),
inference(resolution,[],[f215,f218]) ).
fof(f248,plain,
ordinal(union(sK19)),
inference(forward_subsumption_resolution,[],[f247,f216]) ).
fof(f263,plain,
! [X0,X1] :
( ~ ordinal_subset(sK0(X0,set_union2(X1,singleton(X1))),X1)
| ~ ordinal(X1)
| ~ ordinal(sK0(X0,set_union2(X1,singleton(X1))))
| subset(X0,set_union2(X1,singleton(X1))) ),
inference(resolution,[],[f232,f143]) ).
fof(f278,plain,
! [X2,X0,X1] :
( ~ in(X0,sK0(X1,X2))
| in(X0,union(X1))
| subset(X1,X2) ),
inference(resolution,[],[f234,f142]) ).
fof(f297,plain,
! [X2,X0,X1] :
( in(sK0(sK0(X0,X1),X2),union(X0))
| subset(X0,X1)
| subset(sK0(X0,X1),X2) ),
inference(resolution,[],[f278,f142]) ).
fof(f300,plain,
! [X0,X1] :
( subset(X0,X1)
| subset(sK0(X0,X1),union(X0))
| subset(sK0(X0,X1),union(X0)) ),
inference(resolution,[],[f297,f143]) ).
fof(f303,plain,
! [X0,X1] :
( subset(sK0(X0,X1),union(X0))
| subset(X0,X1) ),
inference(duplicate_literal_removal,[],[f300]) ).
fof(f305,plain,
! [X0,X1] :
( ordinal_subset(sK0(X0,X1),union(X0))
| subset(X0,X1)
| ~ ordinal(sK0(X0,X1))
| ~ ordinal(union(X0)) ),
inference(resolution,[],[f303,f206]) ).
fof(f415,plain,
! [X0] :
( subset(X0,set_union2(union(X0),singleton(union(X0))))
| ~ ordinal(sK0(X0,set_union2(union(X0),singleton(union(X0)))))
| ~ ordinal(union(X0))
| ~ ordinal(union(X0))
| ~ ordinal(sK0(X0,set_union2(union(X0),singleton(union(X0)))))
| subset(X0,set_union2(union(X0),singleton(union(X0)))) ),
inference(resolution,[],[f305,f263]) ).
fof(f420,plain,
! [X0] :
( ~ ordinal(sK0(X0,set_union2(union(X0),singleton(union(X0)))))
| subset(X0,set_union2(union(X0),singleton(union(X0))))
| ~ ordinal(union(X0)) ),
inference(duplicate_literal_removal,[],[f415]) ).
fof(f504,plain,
( subset(sK19,set_union2(union(sK19),singleton(union(sK19))))
| ~ ordinal(union(sK19))
| subset(sK19,set_union2(union(sK19),singleton(union(sK19)))) ),
inference(resolution,[],[f420,f246]) ).
fof(f505,plain,
( subset(sK19,set_union2(union(sK19),singleton(union(sK19))))
| ~ ordinal(union(sK19)) ),
inference(duplicate_literal_removal,[],[f504]) ).
fof(f506,plain,
subset(sK19,set_union2(union(sK19),singleton(union(sK19)))),
inference(forward_subsumption_resolution,[],[f505,f248]) ).
fof(f507,plain,
~ ordinal(set_union2(union(sK19),singleton(union(sK19)))),
inference(resolution,[],[f506,f217]) ).
fof(f510,plain,
~ ordinal(union(sK19)),
inference(resolution,[],[f507,f231]) ).
fof(f511,plain,
$false,
inference(forward_subsumption_resolution,[],[f510,f248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM403+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.40 % Computer : n008.cluster.edu
% 0.11/5.40 % Model : x86_64 x86_64
% 0.11/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.40 % Memory : 8046.5625MB
% 0.11/5.40 % OS : Linux 6.8.0-71-generic
% 0.11/5.40 % CPULimit : 300
% 0.11/5.40 % WCLimit : 300
% 0.11/5.40 % DateTime : Sun Sep 27 19:49:01 UTC 2026
% 0.11/5.40 % CPUTime :
% 0.11/5.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.44 Running first-order theorem proving
% 0.11/5.44 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
% 6.79/6.99 % (1555946)Detected formulas, will run a generic FOF schedule.
% 6.79/6.99 % (1555957)dis-21_1_sil=8000:lcm=predicate:random_seed=1533705936: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)
% 6.79/6.99 % (1555952)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=4192699790:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.79/6.99 % (1555953)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=2676065670:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.79/6.99 % (1555956)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2516024267:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.79/6.99 % (1555955)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=95364229:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.79/6.99 % (1555954)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=288291357:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.79/6.99 % (1555951)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=3892420109:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.79/6.99 % (1555954)Refutation not found, incomplete strategy
% 6.79/6.99 % (1555954)------------------------------
% 6.79/6.99 % (1555954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/6.99 % (1555954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/6.99 % (1555954)CaDiCaL version: 2.1.3
% 6.79/6.99 % (1555954)Termination reason: Refutation not found, incomplete strategy
% 6.79/6.99 % (1555954)Time elapsed: 0.001 s
% 6.79/6.99 % (1555954)Peak memory usage: 88 MB
% 6.79/6.99 % (1555957)Instruction limit reached!
% 6.79/6.99 % (1555957)------------------------------
% 6.79/6.99 % (1555957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/6.99 % (1555957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/6.99 % (1555957)CaDiCaL version: 2.1.3
% 6.79/6.99 % (1555957)Termination reason: Instruction limit
% 6.79/6.99 % (1555957)Termination phase: Saturation
% 6.79/6.99 % (1555957)Time elapsed: 0.043 s
% 6.79/6.99 % (1555957)Peak memory usage: 89 MB
% 6.79/6.99 % (1555957)Instructions burned: 131 (million)
% 6.79/6.99 % (1555955)Instruction limit reached!
% 6.79/6.99 % (1555955)------------------------------
% 6.79/6.99 % (1555955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/6.99 % (1555955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/6.99 % (1555955)CaDiCaL version: 2.1.3
% 6.79/6.99 % (1555955)Termination reason: Instruction limit
% 6.79/6.99 % (1555955)Termination phase: Saturation
% 6.79/6.99 % (1555955)Time elapsed: 0.052 s
% 6.79/6.99 % (1555955)Peak memory usage: 87 MB
% 6.79/6.99 % (1555955)Instructions burned: 121 (million)
% 6.79/6.99 % (1555956)Instruction limit reached!
% 6.79/6.99 % (1555956)------------------------------
% 6.79/6.99 % (1555956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/6.99 % (1555956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/6.99 % (1555956)CaDiCaL version: 2.1.3
% 6.79/6.99 % (1555956)Termination reason: Instruction limit
% 6.79/6.99 % (1555956)Termination phase: Saturation
% 6.79/6.99 % (1555956)Time elapsed: 0.099 s
% 6.79/6.99 % (1555956)Peak memory usage: 90 MB
% 6.79/6.99 % (1555956)Instructions burned: 140 (million)
% 6.79/6.99 % (1555965)lrs+10_1_sil=8000:sp=occurrence:random_seed=248742871:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.79/6.99 % (1555965)Instruction limit reached!
% 6.79/6.99 % (1555965)------------------------------
% 6.79/6.99 % (1555965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/6.99 % (1555965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/6.99 % (1555965)CaDiCaL version: 2.1.3
% 6.79/6.99 % (1555965)Termination reason: Instruction limit
% 6.79/6.99 % (1555965)Termination phase: Saturation
% 6.79/6.99 % (1555965)Time elapsed: 0.086 s
% 6.79/6.99 % (1555965)Peak memory usage: 90 MB
% 6.79/6.99 % (1555965)Instructions burned: 286 (million)
% 6.79/6.99 % (1555966)lrs+10_1_sil=32000:urr=on:br=off:random_seed=834366117:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.79/6.99 % (1555966)Refutation not found, incomplete strategy
% 6.79/6.99 % (1555966)------------------------------
% 6.79/6.99 % (1555966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/6.99 % (1555966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/6.99 % (1555966)CaDiCaL version: 2.1.3
% 6.79/6.99 % (1555966)Termination reason: Refutation not found, incomplete strategy
% 6.79/6.99 % (1555966)Time elapsed: 0.002 s
% 6.79/6.99 % (1555966)Peak memory usage: 88 MB
% 6.79/6.99 % (1555966)Instructions burned: 1 (million)
% 6.79/6.99 % (1555954)------------------------------
% 6.79/6.99 % (1555954)------------------------------
% 6.79/6.99 % (1555967)lrs+1011_1_sil=32000:sp=occurrence:random_seed=144584505:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.79/6.99 % (1555970)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=74619336:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.79/6.99 % (1555970)Instruction limit reached!
% 6.79/6.99 % (1555970)------------------------------
% 6.79/6.99 % (1555970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/6.99 % (1555970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/6.99 % (1555970)CaDiCaL version: 2.1.3
% 6.79/6.99 % (1555970)Termination reason: Instruction limit
% 6.79/6.99 % (1555970)Termination phase: Saturation
% 6.79/6.99 % (1555970)Time elapsed: 0.079 s
% 6.79/6.99 % (1555970)Peak memory usage: 91 MB
% 6.79/6.99 % (1555970)Instructions burned: 250 (million)
% 6.79/6.99 % (1555972)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=179695745:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.79/6.99 % (1555972)Refutation not found, incomplete strategy
% 6.79/6.99 % (1555972)------------------------------
% 6.79/6.99 % (1555972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/6.99 % (1555972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/6.99 % (1555972)CaDiCaL version: 2.1.3
% 6.79/6.99 % (1555972)Termination reason: Refutation not found, incomplete strategy
% 6.79/6.99 % (1555972)Time elapsed: 0.003 s
% 6.79/6.99 % (1555972)Peak memory usage: 89 MB
% 6.79/6.99 % (1555972)Instructions burned: 3 (million)
% 6.79/6.99 % (1555966)------------------------------
% 6.79/6.99 % (1555966)------------------------------
% 6.79/6.99 % (1555967)Instruction limit reached!
% 6.79/6.99 % (1555967)------------------------------
% 6.79/6.99 % (1555967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/6.99 % (1555967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/6.99 % (1555967)CaDiCaL version: 2.1.3
% 6.79/6.99 % (1555967)Termination reason: Instruction limit
% 6.79/6.99 % (1555967)Termination phase: Saturation
% 6.79/6.99 % (1555967)Time elapsed: 0.215 s
% 6.79/6.99 % (1555967)Peak memory usage: 92 MB
% 6.79/6.99 % (1555967)Instructions burned: 325 (million)
% 6.79/6.99 % (1555975)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=751059384:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.79/6.99 % (1555977)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4012003985:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.79/6.99 % (1555976)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1976962994:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.79/6.99 % (1555972)------------------------------
% 6.79/6.99 % (1555972)------------------------------
% 6.79/6.99 % (1555951)First to succeed.
% 6.79/6.99 % (1555951)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1555946"
% 6.79/6.99 % (1555977)Instruction limit reached!
% 6.79/6.99 % (1555977)------------------------------
% 6.79/6.99 % (1555977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/6.99 % (1555977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/6.99 % (1555977)CaDiCaL version: 2.1.3
% 6.79/6.99 % (1555977)Termination reason: Instruction limit
% 6.79/6.99 % (1555977)Termination phase: Saturation
% 6.79/6.99 % (1555977)Time elapsed: 0.064 s
% 6.79/6.99 % (1555977)Peak memory usage: 89 MB
% 6.79/6.99 % (1555977)Instructions burned: 128 (million)
% 6.79/6.99 % (1555952)Also succeeded, but the first one will report.
% 6.79/6.99 % (1555976)Instruction limit reached!
% 8.42/7.18 % (1555976)------------------------------
% 8.42/7.18 % (1555976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/7.18 % (1555976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/7.18 % (1555976)CaDiCaL version: 2.1.3
% 8.42/7.18 % (1555976)Termination reason: Instruction limit
% 8.42/7.18 % (1555976)Termination phase: Saturation
% 8.42/7.18 % (1555976)Time elapsed: 0.079 s
% 8.42/7.18 % (1555976)Peak memory usage: 90 MB
% 8.42/7.18 % (1555976)Instructions burned: 114 (million)
% 8.42/7.18 % (1555953)Also succeeded, but the first one will report.
% 8.42/7.18 % (1555981)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1514849915:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.42/7.18 % (1555982)lrs+10_1_sil=8000:sp=occurrence:random_seed=4088732511:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.42/7.18 % (1555983)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3677738343:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.42/7.18 % (1555981)Instruction limit reached!
% 8.42/7.18 % (1555981)------------------------------
% 8.42/7.18 % (1555981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/7.18 % (1555981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/7.18 % (1555981)CaDiCaL version: 2.1.3
% 8.42/7.18 % (1555981)Termination reason: Instruction limit
% 8.42/7.18 % (1555981)Termination phase: Saturation
% 8.42/7.18 % (1555981)Time elapsed: 0.063 s
% 8.42/7.18 % (1555981)Peak memory usage: 89 MB
% 8.42/7.18 % (1555981)Instructions burned: 114 (million)
% 8.42/7.18 % (1555951)Refutation found. Thanks to Tanya!
% 8.42/7.18 % SZS status Theorem for theBenchmark
% 8.42/7.18 % SZS output start Proof for theBenchmark
% See solution above
% 8.42/7.18 % (1555951)------------------------------
% 8.42/7.18 % (1555951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.42/7.18 % (1555951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/7.18 % (1555951)CaDiCaL version: 2.1.3
% 8.42/7.18 % (1555951)Termination reason: Refutation
% 8.42/7.18 % (1555951)Time elapsed: 0.672 s
% 8.42/7.18 % (1555951)Peak memory usage: 128 MB
% 8.42/7.18 % (1555951)Instructions burned: 1003 (million)
% 8.42/7.18 % (1555951)------------------------------
% 8.42/7.18 % (1555951)------------------------------
% 8.42/7.18 % (1555946)Success in time 1.112 s
% 8.42/7.18 % Vampire exiting
%------------------------------------------------------------------------------