%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU339+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:48:25 PM UTC 2026
% Result : Theorem 8.75s 2.26s
% Output : Refutation 9.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 18 unt; 0 def)
% Number of atoms : 200 ( 16 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 223 ( 77 ~; 72 |; 47 &)
% ( 8 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 106 ( 96 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f94,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( ( in(X2,X1)
& in(X3,X1)
& in(ordered_pair(X2,X3),X0)
& in(ordered_pair(X3,X2),X0) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_2) ).
fof(f107,axiom,
! [X0] :
( rel_str(X0)
=> ( antisymmetric_relstr(X0)
<=> is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_orders_2) ).
fof(f124,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_orders_2) ).
fof(f184,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f186,axiom,
! [X0] :
( rel_str(X0)
=> relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(f279,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> ! [X2] :
( in(X2,X1)
=> in(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_subset_1) ).
fof(f286,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X0,X2)
& in(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
fof(f449,conjecture,
! [X0] :
( ( antisymmetric_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( related(X0,X1,X2)
& related(X0,X2,X1) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_orders_2) ).
fof(f450,negated_conjecture,
~ ! [X0] :
( ( antisymmetric_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( related(X0,X1,X2)
& related(X0,X2,X1) )
=> X1 = X2 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f449]) ).
fof(f648,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f20]) ).
fof(f725,plain,
! [X0] :
( ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( X2 = X3
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f726,plain,
! [X0] :
( ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( X2 = X3
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(flattening,[],[f725]) ).
fof(f736,plain,
! [X0] :
( ( antisymmetric_relstr(X0)
<=> is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f107]) ).
fof(f757,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f124]) ).
fof(f794,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f184]) ).
fof(f796,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f186]) ).
fof(f885,plain,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f279]) ).
fof(f1099,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& related(X0,X1,X2)
& related(X0,X2,X1)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& antisymmetric_relstr(X0)
& rel_str(X0) ),
inference(ennf_transformation,[],[f450]) ).
fof(f1100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( X1 != X2
& related(X0,X1,X2)
& related(X0,X2,X1)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& antisymmetric_relstr(X0)
& rel_str(X0) ),
inference(flattening,[],[f1099]) ).
fof(f1471,plain,
! [X0] :
( ! [X1] :
( ( is_antisymmetric_in(X0,X1)
| ? [X2,X3] :
( X2 != X3
& in(X2,X1)
& in(X3,X1)
& in(ordered_pair(X2,X3),X0)
& in(ordered_pair(X3,X2),X0) ) )
& ( ! [X2,X3] :
( X2 = X3
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X2),X0) )
| ~ is_antisymmetric_in(X0,X1) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f726]) ).
fof(f1472,plain,
! [X0] :
( ! [X1] :
( ( is_antisymmetric_in(X0,X1)
| ? [X2,X3] :
( X2 != X3
& in(X2,X1)
& in(X3,X1)
& in(ordered_pair(X2,X3),X0)
& in(ordered_pair(X3,X2),X0) ) )
& ( ! [X4,X5] :
( X4 = X5
| ~ in(X4,X1)
| ~ in(X5,X1)
| ~ in(ordered_pair(X4,X5),X0)
| ~ in(ordered_pair(X5,X4),X0) )
| ~ is_antisymmetric_in(X0,X1) ) )
| ~ relation(X0) ),
inference(rectify,[],[f1471]) ).
fof(f1473,plain,
! [X0] :
( ! [X1] :
( ( is_antisymmetric_in(X0,X1)
| ( sK127(X0,X1) != sK128(X0,X1)
& in(sK127(X0,X1),X1)
& in(sK128(X0,X1),X1)
& in(ordered_pair(sK127(X0,X1),sK128(X0,X1)),X0)
& in(ordered_pair(sK128(X0,X1),sK127(X0,X1)),X0) ) )
& ( ! [X4,X5] :
( X4 = X5
| ~ in(X4,X1)
| ~ in(X5,X1)
| ~ in(ordered_pair(X4,X5),X0)
| ~ in(ordered_pair(X5,X4),X0) )
| ~ is_antisymmetric_in(X0,X1) ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK127,sK128]),skolemize(X2,sK127(X0,X1)),skolemize(X3,sK128(X0,X1))],[f1472]) ).
fof(f1499,plain,
! [X0] :
( ( ( antisymmetric_relstr(X0)
| ~ is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0)) )
& ( is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0))
| ~ antisymmetric_relstr(X0) ) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f736]) ).
fof(f1532,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( related(X0,X1,X2)
| ~ in(ordered_pair(X1,X2),the_InternalRel(X0)) )
& ( in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ related(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f757]) ).
fof(f1561,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(nnf_transformation,[],[f286]) ).
fof(f1562,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(flattening,[],[f1561]) ).
fof(f1875,plain,
( sK460 != sK461
& related(sK459,sK460,sK461)
& related(sK459,sK461,sK460)
& element(sK461,the_carrier(sK459))
& element(sK460,the_carrier(sK459))
& antisymmetric_relstr(sK459)
& rel_str(sK459) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK459,sK460,sK461]),skolemize(X0,sK459),skolemize(X1,sK460),skolemize(X2,sK461)],[f1100]) ).
fof(f1966,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(cnf_transformation,[],[f648]) ).
fof(f2246,plain,
! [X0,X1,X4,X5] :
( ~ in(ordered_pair(X5,X4),X0)
| ~ in(X4,X1)
| ~ in(X5,X1)
| ~ in(ordered_pair(X4,X5),X0)
| X4 = X5
| ~ is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f1473]) ).
fof(f2305,plain,
! [X0] :
( is_antisymmetric_in(the_InternalRel(X0),the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1499]) ).
fof(f2370,plain,
! [X2,X0,X1] :
( in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1532]) ).
fof(f2405,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f794]) ).
fof(f2409,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f796]) ).
fof(f2588,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X0))
| ~ in(X2,X1)
| in(X2,X0) ),
inference(cnf_transformation,[],[f885]) ).
fof(f2606,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(cnf_transformation,[],[f1562]) ).
fof(f3311,plain,
rel_str(sK459),
inference(cnf_transformation,[],[f1875]) ).
fof(f3312,plain,
antisymmetric_relstr(sK459),
inference(cnf_transformation,[],[f1875]) ).
fof(f3313,plain,
element(sK460,the_carrier(sK459)),
inference(cnf_transformation,[],[f1875]) ).
fof(f3314,plain,
element(sK461,the_carrier(sK459)),
inference(cnf_transformation,[],[f1875]) ).
fof(f3315,plain,
related(sK459,sK461,sK460),
inference(cnf_transformation,[],[f1875]) ).
fof(f3316,plain,
related(sK459,sK460,sK461),
inference(cnf_transformation,[],[f1875]) ).
fof(f3317,plain,
sK460 != sK461,
inference(cnf_transformation,[],[f1875]) ).
fof(f3806,plain,
is_antisymmetric_in(the_InternalRel(sK459),the_carrier(sK459)),
inference(unit_resulting_resolution,[],[f2305,f3311,f3312]) ).
fof(f3808,plain,
relation_of2_as_subset(the_InternalRel(sK459),the_carrier(sK459),the_carrier(sK459)),
inference(unit_resulting_resolution,[],[f2409,f3311]) ).
fof(f3810,plain,
in(ordered_pair(sK461,sK460),the_InternalRel(sK459)),
inference(unit_resulting_resolution,[],[f2370,f3311,f3314,f3315,f3313]) ).
fof(f3811,plain,
in(ordered_pair(sK460,sK461),the_InternalRel(sK459)),
inference(unit_resulting_resolution,[],[f2370,f3311,f3313,f3316,f3314]) ).
fof(f3845,plain,
element(the_InternalRel(sK459),powerset(cartesian_product2(the_carrier(sK459),the_carrier(sK459)))),
inference(unit_resulting_resolution,[],[f2405,f3808]) ).
fof(f3876,plain,
in(ordered_pair(sK461,sK460),cartesian_product2(the_carrier(sK459),the_carrier(sK459))),
inference(unit_resulting_resolution,[],[f2588,f3810,f3845]) ).
fof(f3877,plain,
in(ordered_pair(sK460,sK461),cartesian_product2(the_carrier(sK459),the_carrier(sK459))),
inference(unit_resulting_resolution,[],[f2588,f3811,f3845]) ).
fof(f4190,plain,
relation(the_InternalRel(sK459)),
inference(unit_resulting_resolution,[],[f1966,f3845]) ).
fof(f4670,plain,
in(sK460,the_carrier(sK459)),
inference(unit_resulting_resolution,[],[f2606,f3876]) ).
fof(f4671,plain,
in(sK461,the_carrier(sK459)),
inference(unit_resulting_resolution,[],[f2606,f3877]) ).
fof(f4801,plain,
$false,
inference(unit_resulting_resolution,[],[f2246,f4190,f3317,f3806,f3811,f3810,f4670,f4671]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU339+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.42 % Computer : n004.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Mon Sep 28 04:48:22 UTC 2026
% 0.18/0.42 % CPUTime :
% 0.18/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.48 Running first-order theorem proving
% 0.25/0.48 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
% 8.75/2.26 % (4157151)Detected formulas, will run a generic FOF schedule.
% 8.75/2.26 % (4157159)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2691460401:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.75/2.26 % (4157159)Instruction limit reached!
% 8.75/2.26 % (4157159)------------------------------
% 8.75/2.26 % (4157159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.26 % (4157159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.26 % (4157159)CaDiCaL version: 2.1.3
% 8.75/2.26 % (4157159)Termination reason: Instruction limit
% 8.75/2.26 % (4157159)Termination phase: Saturation
% 8.75/2.26 % (4157159)Time elapsed: 0.056 s
% 8.75/2.26 % (4157159)Peak memory usage: 91 MB
% 8.75/2.26 % (4157159)Instructions burned: 110 (million)
% 8.75/2.26 % (4157160)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4174356987:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.75/2.26 % (4157161)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4170294145:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.75/2.26 % (4157156)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=4248027477:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.75/2.26 % (4157158)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=3237207556:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.75/2.26 % (4157162)dis-21_1_sil=8000:lcm=predicate:random_seed=2703554603: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)
% 8.75/2.26 % (4157157)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=917460288:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.75/2.26 % (4157162)Instruction limit reached!
% 8.75/2.26 % (4157162)------------------------------
% 8.75/2.26 % (4157162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.26 % (4157162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.26 % (4157162)CaDiCaL version: 2.1.3
% 8.75/2.26 % (4157162)Termination reason: Instruction limit
% 8.75/2.26 % (4157162)Termination phase: Saturation
% 8.75/2.26 % (4157162)Time elapsed: 0.110 s
% 8.75/2.26 % (4157162)Peak memory usage: 91 MB
% 8.75/2.26 % (4157162)Instructions burned: 130 (million)
% 8.75/2.26 % (4157160)Instruction limit reached!
% 8.75/2.26 % (4157160)------------------------------
% 8.75/2.26 % (4157160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.26 % (4157160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.26 % (4157160)CaDiCaL version: 2.1.3
% 8.75/2.26 % (4157160)Termination reason: Instruction limit
% 8.75/2.26 % (4157160)Termination phase: Saturation
% 8.75/2.26 % (4157160)Time elapsed: 0.121 s
% 8.75/2.26 % (4157160)Peak memory usage: 91 MB
% 8.75/2.26 % (4157160)Instructions burned: 119 (million)
% 8.75/2.26 % (4157161)Instruction limit reached!
% 8.75/2.26 % (4157161)------------------------------
% 8.75/2.26 % (4157161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.26 % (4157161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.26 % (4157161)CaDiCaL version: 2.1.3
% 8.75/2.26 % (4157161)Termination reason: Instruction limit
% 8.75/2.26 % (4157161)Termination phase: Saturation
% 8.75/2.26 % (4157161)Time elapsed: 0.144 s
% 8.75/2.26 % (4157161)Peak memory usage: 92 MB
% 8.75/2.26 % (4157161)Instructions burned: 139 (million)
% 8.75/2.26 % (4157164)lrs+10_1_sil=8000:sp=occurrence:random_seed=2989139033:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.75/2.26 % (4157172)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1615298079:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 8.75/2.26 % (4157171)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3412359505:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 8.75/2.26 % (4157171)Refutation not found, incomplete strategy
% 8.75/2.26 % (4157171)------------------------------
% 8.75/2.26 % (4157171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.26 % (4157171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.26 % (4157171)CaDiCaL version: 2.1.3
% 8.75/2.26 % (4157171)Termination reason: Refutation not found, incomplete strategy
% 8.75/2.26 % (4157171)Time elapsed: 0.010 s
% 8.75/2.26 % (4157171)Peak memory usage: 89 MB
% 8.75/2.26 % (4157171)Instructions burned: 8 (million)
% 8.75/2.26 % (4157173)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=1663828624:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.75/2.26 % (4157172)Instruction limit reached!
% 8.75/2.26 % (4157172)------------------------------
% 8.75/2.26 % (4157172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.26 % (4157172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.26 % (4157172)CaDiCaL version: 2.1.3
% 8.75/2.26 % (4157172)Termination reason: Instruction limit
% 8.75/2.26 % (4157172)Termination phase: Saturation
% 8.75/2.26 % (4157172)Time elapsed: 0.187 s
% 8.75/2.26 % (4157172)Peak memory usage: 95 MB
% 8.75/2.26 % (4157172)Instructions burned: 327 (million)
% 8.75/2.26 % (4157164)Instruction limit reached!
% 8.75/2.26 % (4157164)------------------------------
% 8.75/2.26 % (4157164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.26 % (4157164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.26 % (4157164)CaDiCaL version: 2.1.3
% 8.75/2.26 % (4157164)Termination reason: Instruction limit
% 8.75/2.26 % (4157164)Termination phase: Saturation
% 8.75/2.26 % (4157164)Time elapsed: 0.305 s
% 8.75/2.26 % (4157164)Peak memory usage: 95 MB
% 8.75/2.26 % (4157164)Instructions burned: 285 (million)
% 8.75/2.26 % (4157173)First to succeed.
% 8.75/2.26 % (4157173)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4157151"
% 8.75/2.26 % (4157178)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4192686002:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 8.75/2.26 % (4157171)------------------------------
% 8.75/2.26 % (4157171)------------------------------
% 8.75/2.26 % (4157179)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1737145187:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 8.75/2.26 % (4157178)Instruction limit reached!
% 8.75/2.26 % (4157178)------------------------------
% 8.75/2.26 % (4157178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.26 % (4157178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.26 % (4157178)CaDiCaL version: 2.1.3
% 8.75/2.26 % (4157178)Termination reason: Instruction limit
% 8.75/2.26 % (4157178)Termination phase: Saturation
% 8.75/2.26 % (4157178)Time elapsed: 0.149 s
% 8.75/2.26 % (4157178)Peak memory usage: 93 MB
% 8.75/2.26 % (4157178)Instructions burned: 295 (million)
% 8.75/2.26 % (4157173)Refutation found. Thanks to Tanya!
% 8.75/2.26 % SZS status Theorem for theBenchmark
% 8.75/2.26 % SZS output start Proof for theBenchmark
% See solution above
% 9.47/2.53 % (4157173)------------------------------
% 9.47/2.53 % (4157173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.47/2.53 % (4157173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/2.53 % (4157173)CaDiCaL version: 2.1.3
% 9.47/2.53 % (4157173)Termination reason: Refutation
% 9.47/2.53 % (4157173)Time elapsed: 0.102 s
% 9.47/2.53 % (4157173)Peak memory usage: 92 MB
% 9.47/2.53 % (4157173)Instructions burned: 100 (million)
% 9.47/2.53 % (4157173)------------------------------
% 9.47/2.53 % (4157173)------------------------------
% 9.47/2.53 % (4157151)Success in time 1.239 s
% 9.47/2.53 % Vampire exiting
%------------------------------------------------------------------------------