%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU292+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 : n006.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 12:48:11 PM UTC 2026
% Result : Theorem 6.42s 2.13s
% Output : Refutation 9.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of formulae : 72 ( 28 unt; 5 def)
% Number of atoms : 215 ( 72 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 226 ( 83 ~; 80 |; 39 &)
% ( 8 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 2 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-3 aty)
% Number of variables : 94 ( 0 sgn 84 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f27,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( ( ( X1 = empty_set
=> X0 = empty_set )
=> ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) ) )
& ( X1 = empty_set
=> ( X0 = empty_set
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).
fof(f120,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(f196,axiom,
! [X0,X1,X2] :
( relation_of2(X2,X0,X1)
=> relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f201,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f269,conjecture,
! [X0,X1,X2,X3] :
( ( function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) )
=> ! [X4] :
( ( relation(X4)
& function(X4) )
=> ( in(X2,X0)
=> ( X1 = empty_set
| apply(relation_composition(X3,X4),X2) = apply(X4,apply(X3,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_2) ).
fof(f270,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) )
=> ! [X4] :
( ( relation(X4)
& function(X4) )
=> ( in(X2,X0)
=> ( X1 = empty_set
| apply(relation_composition(X3,X4),X2) = apply(X4,apply(X3,X2)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f269]) ).
fof(f277,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_1) ).
fof(f418,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f6]) ).
fof(f441,plain,
! [X0,X1,X2] :
( ( ( ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) )
| ( empty_set != X0
& X1 = empty_set ) )
& ( X0 = empty_set
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set )
| empty_set != X1 ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f442,plain,
! [X0,X1,X2] :
( ( ( ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) )
| ( empty_set != X0
& X1 = empty_set ) )
& ( X0 = empty_set
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set )
| empty_set != X1 ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(flattening,[],[f441]) ).
fof(f503,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f120]) ).
fof(f560,plain,
! [X0,X1,X2] :
( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
| ~ relation_of2(X2,X0,X1) ),
inference(ennf_transformation,[],[f196]) ).
fof(f654,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( empty_set != X1
& apply(relation_composition(X3,X4),X2) != apply(X4,apply(X3,X2))
& in(X2,X0)
& relation(X4)
& function(X4) )
& function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) ),
inference(ennf_transformation,[],[f270]) ).
fof(f655,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( empty_set != X1
& apply(relation_composition(X3,X4),X2) != apply(X4,apply(X3,X2))
& in(X2,X0)
& relation(X4)
& function(X4) )
& function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) ),
inference(flattening,[],[f654]) ).
fof(f665,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f277]) ).
fof(f666,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f665]) ).
fof(f866,plain,
! [X0,X1,X2] :
( ( ( ( ( quasi_total(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) != X0 )
& ( X0 = relation_dom_as_subset(X0,X1,X2)
| ~ quasi_total(X2,X0,X1) ) )
| ( empty_set != X0
& X1 = empty_set ) )
& ( X0 = empty_set
| ( ( quasi_total(X2,X0,X1)
| empty_set != X2 )
& ( X2 = empty_set
| ~ quasi_total(X2,X0,X1) ) )
| empty_set != X1 ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(nnf_transformation,[],[f442]) ).
fof(f1036,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f201]) ).
fof(f1162,plain,
( empty_set != sK253
& apply(relation_composition(sK255,sK256),sK254) != apply(sK256,apply(sK255,sK254))
& in(sK254,sK252)
& relation(sK256)
& function(sK256)
& function(sK255)
& quasi_total(sK255,sK252,sK253)
& relation_of2_as_subset(sK255,sK252,sK253) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK252,sK253,sK254,sK255,sK256]),skolemize(X0,sK252),skolemize(X1,sK253),skolemize(X2,sK254),skolemize(X3,sK255),skolemize(X4,sK256)],[f655]) ).
fof(f1225,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(cnf_transformation,[],[f418]) ).
fof(f1304,plain,
! [X2,X0,X1] :
( ~ quasi_total(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = X0
| empty_set = X1
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f866]) ).
fof(f1547,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f503]) ).
fof(f1703,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
inference(cnf_transformation,[],[f560]) ).
fof(f1708,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f1036]) ).
fof(f1984,plain,
relation_of2_as_subset(sK255,sK252,sK253),
inference(cnf_transformation,[],[f1162]) ).
fof(f1985,plain,
quasi_total(sK255,sK252,sK253),
inference(cnf_transformation,[],[f1162]) ).
fof(f1986,plain,
function(sK255),
inference(cnf_transformation,[],[f1162]) ).
fof(f1987,plain,
function(sK256),
inference(cnf_transformation,[],[f1162]) ).
fof(f1988,plain,
relation(sK256),
inference(cnf_transformation,[],[f1162]) ).
fof(f1989,plain,
in(sK254,sK252),
inference(cnf_transformation,[],[f1162]) ).
fof(f1990,plain,
apply(relation_composition(sK255,sK256),sK254) != apply(sK256,apply(sK255,sK254)),
inference(cnf_transformation,[],[f1162]) ).
fof(f1991,plain,
empty_set != sK253,
inference(cnf_transformation,[],[f1162]) ).
fof(f2000,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(X1))
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f666]) ).
fof(f2645,definition,
sF280 = relation_composition(sK255,sK256),
introduced(definition,[new_symbols(definition,[sF280])],[function_definition]) ).
fof(f2646,plain,
relation_composition(sK255,sK256) = sF280,
inference(reorient_equations,[],[f2645]) ).
fof(f2647,definition,
sF281 = apply(sF280,sK254),
introduced(definition,[new_symbols(definition,[sF281])],[function_definition]) ).
fof(f2648,plain,
apply(sF280,sK254) = sF281,
inference(reorient_equations,[],[f2647]) ).
fof(f2649,definition,
sF282 = apply(sK255,sK254),
introduced(definition,[new_symbols(definition,[sF282])],[function_definition]) ).
fof(f2650,plain,
apply(sK255,sK254) = sF282,
inference(reorient_equations,[],[f2649]) ).
fof(f2651,definition,
sF283 = apply(sK256,sF282),
introduced(definition,[new_symbols(definition,[sF283])],[function_definition]) ).
fof(f2652,plain,
apply(sK256,sF282) = sF283,
inference(reorient_equations,[],[f2651]) ).
fof(f2653,plain,
sF281 != sF283,
inference(definition_folding,[],[f1990,f2652,f2650,f2648,f2646]) ).
fof(f2751,plain,
( sK252 = relation_dom_as_subset(sK252,sK253,sK255)
| empty_set = sK253
| ~ relation_of2_as_subset(sK255,sK252,sK253) ),
inference(resolution,[],[f1985,f1304]) ).
fof(f2752,plain,
( sK252 = relation_dom_as_subset(sK252,sK253,sK255)
| ~ relation_of2_as_subset(sK255,sK252,sK253) ),
inference(forward_subsumption_resolution,[],[f2751,f1991]) ).
fof(f2753,plain,
sK252 = relation_dom_as_subset(sK252,sK253,sK255),
inference(forward_subsumption_resolution,[],[f2752,f1984]) ).
fof(f2759,definition,
( spl284_13
<=> relation(sK255) ),
introduced(definition,[new_symbols(definition,[spl284_13])],[avatar_definition]) ).
fof(f2760,plain,
( relation(sK255)
| ~ spl284_13 ),
inference(avatar_component_clause,[],[f2759]) ).
fof(f2761,plain,
( ~ relation(sK255)
| spl284_13 ),
inference(avatar_component_clause,[],[f2759]) ).
fof(f2774,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation(X0) ),
inference(resolution,[],[f1225,f1547]) ).
fof(f2775,plain,
relation(sK255),
inference(resolution,[],[f2774,f1984]) ).
fof(f2776,plain,
( $false
| spl284_13 ),
inference(forward_subsumption_resolution,[],[f2775,f2761]) ).
fof(f2777,plain,
spl284_13,
inference(avatar_contradiction_clause,[],[f2776]) ).
fof(f2794,plain,
relation_of2(sK255,sK252,sK253),
inference(resolution,[],[f1708,f1984]) ).
fof(f2820,plain,
relation_dom_as_subset(sK252,sK253,sK255) = relation_dom(sK255),
inference(resolution,[],[f1703,f2794]) ).
fof(f2821,plain,
sK252 = relation_dom(sK255),
inference(forward_demodulation,[],[f2820,f2753]) ).
fof(f2824,plain,
! [X0,X1] :
( ~ in(X0,sK252)
| apply(relation_composition(sK255,X1),X0) = apply(X1,apply(sK255,X0))
| ~ relation(X1)
| ~ function(X1)
| ~ relation(sK255)
| ~ function(sK255) ),
inference(superposition,[],[f2000,f2821]) ).
fof(f2825,plain,
( ! [X0,X1] :
( ~ in(X0,sK252)
| apply(relation_composition(sK255,X1),X0) = apply(X1,apply(sK255,X0))
| ~ relation(X1)
| ~ function(X1)
| ~ function(sK255) )
| ~ spl284_13 ),
inference(forward_subsumption_resolution,[],[f2824,f2760]) ).
fof(f2828,plain,
( ! [X0,X1] :
( ~ in(X0,sK252)
| apply(relation_composition(sK255,X1),X0) = apply(X1,apply(sK255,X0))
| ~ relation(X1)
| ~ function(X1) )
| ~ spl284_13 ),
inference(forward_subsumption_resolution,[],[f2825,f1986]) ).
fof(f2839,plain,
( ! [X0] :
( apply(relation_composition(sK255,X0),sK254) = apply(X0,apply(sK255,sK254))
| ~ relation(X0)
| ~ function(X0) )
| ~ spl284_13 ),
inference(resolution,[],[f2828,f1989]) ).
fof(f2840,plain,
( ! [X0] :
( ~ relation(X0)
| apply(relation_composition(sK255,X0),sK254) = apply(X0,sF282)
| ~ function(X0) )
| ~ spl284_13 ),
inference(forward_demodulation,[],[f2839,f2650]) ).
fof(f2844,plain,
( apply(relation_composition(sK255,sK256),sK254) = apply(sK256,sF282)
| ~ function(sK256)
| ~ spl284_13 ),
inference(resolution,[],[f2840,f1988]) ).
fof(f2847,plain,
( apply(relation_composition(sK255,sK256),sK254) = apply(sK256,sF282)
| ~ spl284_13 ),
inference(forward_subsumption_resolution,[],[f2844,f1987]) ).
fof(f2849,plain,
( apply(relation_composition(sK255,sK256),sK254) = sF283
| ~ spl284_13 ),
inference(forward_demodulation,[],[f2847,f2652]) ).
fof(f2850,plain,
( apply(sF280,sK254) = sF283
| ~ spl284_13 ),
inference(forward_demodulation,[],[f2849,f2646]) ).
fof(f2851,plain,
( sF281 = sF283
| ~ spl284_13 ),
inference(forward_demodulation,[],[f2850,f2648]) ).
fof(f2852,plain,
( $false
| ~ spl284_13 ),
inference(forward_subsumption_resolution,[],[f2851,f2653]) ).
fof(f2853,plain,
~ spl284_13,
inference(avatar_contradiction_clause,[],[f2852]) ).
cnf(s12,plain,
spl284_13,
inference(sat_conversion,[],[f2777]) ).
cnf(s14,plain,
~ spl284_13,
inference(sat_conversion,[],[f2853]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s12,s14]) ).
fof(f2854,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU292+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n006.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 04:31:55 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 6.42/2.13 % (3581622)Detected formulas, will run a generic FOF schedule.
% 6.42/2.13 % (3581631)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=786066309:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.42/2.13 % (3581630)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2243892884:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.42/2.13 % (3581627)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=1744750252:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.42/2.13 % (3581628)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=4175333293:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.42/2.13 % (3581629)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=178238513:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.42/2.13 % (3581631)Instruction limit reached!
% 6.42/2.13 % (3581631)------------------------------
% 6.42/2.13 % (3581631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.13 % (3581631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.13 % (3581631)CaDiCaL version: 2.1.3
% 6.42/2.13 % (3581631)Termination reason: Instruction limit
% 6.42/2.13 % (3581631)Termination phase: Saturation
% 6.42/2.13 % (3581631)Time elapsed: 0.044 s
% 6.42/2.13 % (3581631)Peak memory usage: 91 MB
% 6.42/2.13 % (3581631)Instructions burned: 122 (million)
% 6.42/2.13 % (3581632)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3605103128:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.42/2.13 % (3581633)dis-21_1_sil=8000:lcm=predicate:random_seed=1306704785: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)
% 6.42/2.13 % (3581630)Instruction limit reached!
% 6.42/2.13 % (3581630)------------------------------
% 6.42/2.13 % (3581630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.13 % (3581630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.13 % (3581630)CaDiCaL version: 2.1.3
% 6.42/2.13 % (3581630)Termination reason: Instruction limit
% 6.42/2.13 % (3581630)Termination phase: Saturation
% 6.42/2.13 % (3581630)Time elapsed: 0.064 s
% 6.42/2.13 % (3581630)Peak memory usage: 91 MB
% 6.42/2.13 % (3581630)Instructions burned: 110 (million)
% 6.42/2.13 % (3581633)Instruction limit reached!
% 6.42/2.13 % (3581633)------------------------------
% 6.42/2.13 % (3581633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.13 % (3581633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.13 % (3581633)CaDiCaL version: 2.1.3
% 6.42/2.13 % (3581633)Termination reason: Instruction limit
% 6.42/2.13 % (3581633)Termination phase: Saturation
% 6.42/2.13 % (3581633)Time elapsed: 0.063 s
% 6.42/2.13 % (3581633)Peak memory usage: 90 MB
% 6.42/2.13 % (3581633)Instructions burned: 130 (million)
% 6.42/2.13 % (3581632)Instruction limit reached!
% 6.42/2.13 % (3581632)------------------------------
% 6.42/2.13 % (3581632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.13 % (3581632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.13 % (3581632)CaDiCaL version: 2.1.3
% 6.42/2.13 % (3581632)Termination reason: Instruction limit
% 6.42/2.13 % (3581632)Termination phase: Saturation
% 6.42/2.13 % (3581632)Time elapsed: 0.095 s
% 6.42/2.13 % (3581632)Peak memory usage: 91 MB
% 6.42/2.13 % (3581632)Instructions burned: 140 (million)
% 6.42/2.13 % (3581639)lrs+10_1_sil=8000:sp=occurrence:random_seed=1626203559:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.42/2.13 % (3581642)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2665485534:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.42/2.13 % (3581639)Instruction limit reached!
% 6.42/2.13 % (3581639)------------------------------
% 6.42/2.13 % (3581639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.13 % (3581639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.13 % (3581639)CaDiCaL version: 2.1.3
% 6.42/2.13 % (3581639)Termination reason: Instruction limit
% 6.42/2.13 % (3581639)Termination phase: Saturation
% 6.42/2.13 % (3581639)Time elapsed: 0.104 s
% 6.42/2.13 % (3581639)Peak memory usage: 94 MB
% 6.42/2.13 % (3581639)Instructions burned: 286 (million)
% 6.42/2.13 % (3581643)lrs+1011_1_sil=32000:sp=occurrence:random_seed=992669475:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.42/2.13 % (3581644)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=2636144606:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.42/2.13 % (3581642)Instruction limit reached!
% 6.42/2.13 % (3581642)------------------------------
% 6.42/2.13 % (3581642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.13 % (3581642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.13 % (3581642)CaDiCaL version: 2.1.3
% 6.42/2.13 % (3581642)Termination reason: Instruction limit
% 6.42/2.13 % (3581642)Termination phase: Saturation
% 6.42/2.13 % (3581642)Time elapsed: 0.087 s
% 6.42/2.13 % (3581642)Peak memory usage: 92 MB
% 6.42/2.13 % (3581642)Instructions burned: 157 (million)
% 6.42/2.13 % (3581647)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4075996529:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.42/2.13 % (3581644)Instruction limit reached!
% 6.42/2.13 % (3581644)------------------------------
% 6.42/2.13 % (3581644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.13 % (3581644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.13 % (3581644)CaDiCaL version: 2.1.3
% 6.42/2.13 % (3581644)Termination reason: Instruction limit
% 6.42/2.13 % (3581644)Termination phase: Saturation
% 6.42/2.13 % (3581644)Time elapsed: 0.137 s
% 6.42/2.13 % (3581644)Peak memory usage: 94 MB
% 6.42/2.13 % (3581644)Instructions burned: 248 (million)
% 6.42/2.13 % (3581647)Instruction limit reached!
% 6.42/2.13 % (3581647)------------------------------
% 6.42/2.13 % (3581647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.13 % (3581647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.13 % (3581647)CaDiCaL version: 2.1.3
% 6.42/2.13 % (3581647)Termination reason: Instruction limit
% 6.42/2.13 % (3581647)Termination phase: Saturation
% 6.42/2.13 % (3581647)Time elapsed: 0.102 s
% 6.42/2.13 % (3581647)Peak memory usage: 92 MB
% 6.42/2.13 % (3581647)Instructions burned: 296 (million)
% 6.42/2.13 % (3581650)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2602685145:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.42/2.13 % (3581643)Instruction limit reached!
% 6.42/2.13 % (3581643)------------------------------
% 6.42/2.13 % (3581643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.13 % (3581643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.13 % (3581643)CaDiCaL version: 2.1.3
% 6.42/2.13 % (3581643)Termination reason: Instruction limit
% 6.42/2.13 % (3581643)Termination phase: Saturation
% 6.42/2.13 % (3581643)Time elapsed: 0.231 s
% 6.42/2.13 % (3581643)Peak memory usage: 94 MB
% 6.42/2.13 % (3581643)Instructions burned: 326 (million)
% 6.42/2.13 % (3581652)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1547329536:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.42/2.13 % (3581653)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=613021466:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.42/2.13 % (3581653)Instruction limit reached!
% 6.42/2.13 % (3581653)------------------------------
% 6.42/2.13 % (3581653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.13 % (3581653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.13 % (3581653)CaDiCaL version: 2.1.3
% 6.42/2.13 % (3581653)Termination reason: Instruction limit
% 6.42/2.13 % (3581653)Termination phase: Saturation
% 6.42/2.13 % (3581653)Time elapsed: 0.036 s
% 6.42/2.13 % (3581653)Peak memory usage: 90 MB
% 6.42/2.13 % (3581653)Instructions burned: 129 (million)
% 6.42/2.13 % (3581652)Instruction limit reached!
% 6.42/2.13 % (3581652)------------------------------
% 6.42/2.13 % (3581652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.13 % (3581652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.13 % (3581652)CaDiCaL version: 2.1.3
% 6.42/2.13 % (3581652)Termination reason: Instruction limit
% 6.42/2.13 % (3581652)Termination phase: Saturation
% 6.42/2.13 % (3581652)Time elapsed: 0.072 s
% 6.42/2.13 % (3581652)Peak memory usage: 91 MB
% 6.42/2.13 % (3581652)Instructions burned: 113 (million)
% 6.42/2.13 % (3581655)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3220291416:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.42/2.13 % (3581655)Instruction limit reached!
% 6.42/2.13 % (3581655)------------------------------
% 6.42/2.13 % (3581655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.13 % (3581655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.13 % (3581655)CaDiCaL version: 2.1.3
% 6.42/2.13 % (3581655)Termination reason: Instruction limit
% 6.42/2.13 % (3581655)Termination phase: Saturation
% 6.42/2.13 % (3581655)Time elapsed: 0.066 s
% 6.42/2.13 % (3581655)Peak memory usage: 89 MB
% 6.42/2.13 % (3581655)Instructions burned: 114 (million)
% 6.42/2.13 % (3581658)lrs+10_1_sil=8000:sp=occurrence:random_seed=4155967121:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.42/2.13 % (3581659)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4014573606:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.42/2.13 % (3581627)First to succeed.
% 6.42/2.13 % (3581627)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3581622"
% 6.42/2.13 % (3581628)Also succeeded, but the first one will report.
% 6.42/2.13 % (3581661)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2099068246:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.42/2.13 % (3581629)Also succeeded, but the first one will report.
% 6.42/2.13 % (3581658)Instruction limit reached!
% 6.42/2.13 % (3581658)------------------------------
% 6.42/2.13 % (3581658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.13 % (3581658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.13 % (3581658)CaDiCaL version: 2.1.3
% 6.42/2.13 % (3581658)Termination reason: Instruction limit
% 6.42/2.13 % (3581658)Termination phase: Saturation
% 6.42/2.13 % (3581658)Time elapsed: 0.319 s
% 6.42/2.13 % (3581658)Peak memory usage: 104 MB
% 6.42/2.13 % (3581658)Instructions burned: 907 (million)
% 6.42/2.13 % (3581659)Instruction limit reached!
% 6.42/2.13 % (3581659)------------------------------
% 6.42/2.13 % (3581659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.42/2.13 % (3581659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/2.13 % (3581659)CaDiCaL version: 2.1.3
% 6.42/2.13 % (3581659)Termination reason: Instruction limit
% 6.42/2.13 % (3581659)Termination phase: Saturation
% 6.42/2.13 % (3581659)Time elapsed: 0.276 s
% 6.42/2.13 % (3581659)Peak memory usage: 94 MB
% 6.42/2.13 % (3581659)Instructions burned: 438 (million)
% 6.42/2.13 % (3581627)Refutation found. Thanks to Tanya!
% 6.42/2.13 % SZS status Theorem for theBenchmark
% 6.42/2.13 % SZS output start Proof for theBenchmark
% See solution above
% 9.50/2.33 % (3581627)------------------------------
% 9.50/2.33 % (3581627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.50/2.33 % (3581627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.33 % (3581627)CaDiCaL version: 2.1.3
% 9.50/2.33 % (3581627)Termination reason: Refutation
% 9.50/2.33 % (3581627)Time elapsed: 0.834 s
% 9.50/2.33 % (3581627)Peak memory usage: 139 MB
% 9.50/2.33 % (3581627)Instructions burned: 1312 (million)
% 9.50/2.33 % (3581627)------------------------------
% 9.50/2.33 % (3581627)------------------------------
% 9.50/2.33 % (3581622)Success in time 1.273 s
% 9.50/2.33 % Vampire exiting
%------------------------------------------------------------------------------