%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW191+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 01:29:48 PM UTC 2026
% Result : Theorem 8.86s 2.28s
% Output : Refutation 9.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 72 ( 19 unt; 6 def)
% Number of atoms : 161 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 172 ( 83 ~; 71 |; 4 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 73 ( 0 sgn 71 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( hBOOL(hAPP(v_P,X0))
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_y____) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nox) ).
fof(f79,axiom,
c_Lubs_OisLub(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P),v_L____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_L) ).
fof(f100,axiom,
! [X0,X1] : c_Set_OCollect(X1,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__def) ).
fof(f114,axiom,
! [X0,X1,X2] :
( c_member(X2,X1,X0)
<=> hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mem__def) ).
fof(f130,axiom,
! [X0,X1,X2,X3,X4] :
( class_Orderings_Oord(X4)
=> ( c_Lubs_OisLub(X4,X3,X2,X1)
=> ( hBOOL(hAPP(c_Lubs_OisUb(X4,X3,X2),X0))
=> c_Orderings_Oord__class_Oless__eq(X4,X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_isLub__le__isUb) ).
fof(f158,axiom,
! [X0,X1,X2] :
( class_Orderings_Oord(X2)
=> ( ! [X3] :
( c_member(X2,X3,X1)
=> c_Orderings_Oord__class_Oless__eq(X2,X3,X0) )
=> hBOOL(hAPP(c_Lubs_OisUb(X2,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)),X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_isUb__UNIV__I) ).
fof(f1160,axiom,
class_Orderings_Oord(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oord) ).
fof(f1212,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_L____,v_y____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1213,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_L____,v_y____),
inference(negated_conjecture,[status(cth)],[f1212]) ).
fof(f1220,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_L____,v_y____),
inference(flattening,[],[f1213]) ).
fof(f1225,plain,
! [X0] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_y____)
| ~ hBOOL(hAPP(v_P,X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f1407,plain,
! [X0,X1,X2,X3,X4] :
( c_Orderings_Oord__class_Oless__eq(X4,X1,X0)
| ~ hBOOL(hAPP(c_Lubs_OisUb(X4,X3,X2),X0))
| ~ c_Lubs_OisLub(X4,X3,X2,X1)
| ~ class_Orderings_Oord(X4) ),
inference(ennf_transformation,[],[f130]) ).
fof(f1408,plain,
! [X0,X1,X2,X3,X4] :
( c_Orderings_Oord__class_Oless__eq(X4,X1,X0)
| ~ hBOOL(hAPP(c_Lubs_OisUb(X4,X3,X2),X0))
| ~ c_Lubs_OisLub(X4,X3,X2,X1)
| ~ class_Orderings_Oord(X4) ),
inference(flattening,[],[f1407]) ).
fof(f1455,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(c_Lubs_OisUb(X2,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)),X1),X0))
| ? [X3] :
( ~ c_Orderings_Oord__class_Oless__eq(X2,X3,X0)
& c_member(X2,X3,X1) )
| ~ class_Orderings_Oord(X2) ),
inference(ennf_transformation,[],[f158]) ).
fof(f1456,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(c_Lubs_OisUb(X2,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)),X1),X0))
| ? [X3] :
( ~ c_Orderings_Oord__class_Oless__eq(X2,X3,X0)
& c_member(X2,X3,X1) )
| ~ class_Orderings_Oord(X2) ),
inference(flattening,[],[f1455]) ).
fof(f2278,plain,
! [X0,X1,X2] :
( ( c_member(X2,X1,X0)
| ~ hBOOL(hAPP(X0,X1)) )
& ( hBOOL(hAPP(X0,X1))
| ~ c_member(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f114]) ).
fof(f2299,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(c_Lubs_OisUb(X2,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)),X1),X0))
| ( ~ c_Orderings_Oord__class_Oless__eq(X2,sK33(X0,X1,X2),X0)
& c_member(X2,sK33(X0,X1,X2),X1) )
| ~ class_Orderings_Oord(X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(X3,sK33(X0,X1,X2))],[f1456]) ).
fof(f2624,plain,
! [X0] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_y____)
| ~ hBOOL(hAPP(v_P,X0)) ),
inference(cnf_transformation,[],[f1225]) ).
fof(f2724,plain,
c_Lubs_OisLub(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P),v_L____),
inference(cnf_transformation,[],[f79]) ).
fof(f2757,plain,
! [X0,X1] : c_Set_OCollect(X1,X0) = X0,
inference(cnf_transformation,[],[f100]) ).
fof(f2780,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(X0,X1))
| ~ c_member(X2,X1,X0) ),
inference(cnf_transformation,[],[f2278]) ).
fof(f2803,plain,
! [X2,X3,X0,X1,X4] :
( c_Orderings_Oord__class_Oless__eq(X4,X1,X0)
| ~ hBOOL(hAPP(c_Lubs_OisUb(X4,X3,X2),X0))
| ~ c_Lubs_OisLub(X4,X3,X2,X1)
| ~ class_Orderings_Oord(X4) ),
inference(cnf_transformation,[],[f1408]) ).
fof(f2840,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_Lubs_OisUb(X2,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)),X1),X0))
| c_member(X2,sK33(X0,X1,X2),X1)
| ~ class_Orderings_Oord(X2) ),
inference(cnf_transformation,[],[f2299]) ).
fof(f2841,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_Lubs_OisUb(X2,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)),X1),X0))
| ~ c_Orderings_Oord__class_Oless__eq(X2,sK33(X0,X1,X2),X0)
| ~ class_Orderings_Oord(X2) ),
inference(cnf_transformation,[],[f2299]) ).
fof(f4198,plain,
class_Orderings_Oord(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1160]) ).
fof(f4250,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_L____,v_y____),
inference(cnf_transformation,[],[f1220]) ).
fof(f4639,definition,
( spl141_1
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_L____,v_y____) ),
introduced(definition,[new_symbols(definition,[spl141_1])],[avatar_definition]) ).
fof(f4641,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_L____,v_y____)
| spl141_1 ),
inference(avatar_component_clause,[],[f4639]) ).
fof(f4642,plain,
~ spl141_1,
inference(avatar_split_clause,[],[f4250,f4639]) ).
fof(f4671,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,X0,X1),v_y____))
| ~ c_Lubs_OisLub(tc_RealDef_Oreal,X0,X1,v_L____)
| ~ class_Orderings_Oord(tc_RealDef_Oreal) )
| spl141_1 ),
inference(resolution,[],[f4641,f2803]) ).
fof(f4760,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,X0,X1),v_y____))
| ~ c_Lubs_OisLub(tc_RealDef_Oreal,X0,X1,v_L____) )
| spl141_1 ),
inference(forward_subsumption_resolution,[],[f4671,f4198]) ).
fof(f4781,definition,
( spl141_2
<=> ! [X0,X1] :
( ~ hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,X0,X1),v_y____))
| ~ c_Lubs_OisLub(tc_RealDef_Oreal,X0,X1,v_L____) ) ),
introduced(definition,[new_symbols(definition,[spl141_2])],[avatar_definition]) ).
fof(f4782,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,X0,X1),v_y____))
| ~ c_Lubs_OisLub(tc_RealDef_Oreal,X0,X1,v_L____) )
| ~ spl141_2 ),
inference(avatar_component_clause,[],[f4781]) ).
fof(f4783,plain,
( spl141_2
| spl141_1 ),
inference(avatar_split_clause,[],[f4760,f4639,f4781]) ).
fof(f4787,plain,
( ! [X0] :
( ~ c_Lubs_OisLub(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),X0,v_L____)
| c_member(tc_RealDef_Oreal,sK33(v_y____,X0,tc_RealDef_Oreal),X0)
| ~ class_Orderings_Oord(tc_RealDef_Oreal) )
| ~ spl141_2 ),
inference(resolution,[],[f4782,f2840]) ).
fof(f4788,plain,
( ! [X0] :
( ~ c_Lubs_OisLub(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),X0,v_L____)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sK33(v_y____,X0,tc_RealDef_Oreal),v_y____)
| ~ class_Orderings_Oord(tc_RealDef_Oreal) )
| ~ spl141_2 ),
inference(resolution,[],[f4782,f2841]) ).
fof(f4827,plain,
( ! [X0] :
( ~ c_Lubs_OisLub(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),X0,v_L____)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sK33(v_y____,X0,tc_RealDef_Oreal),v_y____) )
| ~ spl141_2 ),
inference(forward_subsumption_resolution,[],[f4788,f4198]) ).
fof(f4828,plain,
( ! [X0] :
( ~ c_Lubs_OisLub(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),X0,v_L____)
| c_member(tc_RealDef_Oreal,sK33(v_y____,X0,tc_RealDef_Oreal),X0) )
| ~ spl141_2 ),
inference(forward_subsumption_resolution,[],[f4787,f4198]) ).
fof(f4833,definition,
( spl141_3
<=> ! [X0] :
( ~ c_Lubs_OisLub(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),X0,v_L____)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sK33(v_y____,X0,tc_RealDef_Oreal),v_y____) ) ),
introduced(definition,[new_symbols(definition,[spl141_3])],[avatar_definition]) ).
fof(f4834,plain,
( ! [X0] :
( ~ c_Lubs_OisLub(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),X0,v_L____)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sK33(v_y____,X0,tc_RealDef_Oreal),v_y____) )
| ~ spl141_3 ),
inference(avatar_component_clause,[],[f4833]) ).
fof(f4835,plain,
( spl141_3
| ~ spl141_2 ),
inference(avatar_split_clause,[],[f4827,f4781,f4833]) ).
fof(f5278,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sK33(v_y____,c_Set_OCollect(tc_RealDef_Oreal,v_P),tc_RealDef_Oreal),v_y____)
| ~ spl141_3 ),
inference(resolution,[],[f4834,f2724]) ).
fof(f5288,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sK33(v_y____,v_P,tc_RealDef_Oreal),v_y____)
| ~ spl141_3 ),
inference(forward_demodulation,[],[f5278,f2757]) ).
fof(f5334,definition,
( spl141_7
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sK33(v_y____,v_P,tc_RealDef_Oreal),v_y____) ),
introduced(definition,[new_symbols(definition,[spl141_7])],[avatar_definition]) ).
fof(f5336,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sK33(v_y____,v_P,tc_RealDef_Oreal),v_y____)
| spl141_7 ),
inference(avatar_component_clause,[],[f5334]) ).
fof(f5337,plain,
( ~ spl141_7
| ~ spl141_3 ),
inference(avatar_split_clause,[],[f5288,f4833,f5334]) ).
fof(f5338,plain,
( ~ hBOOL(hAPP(v_P,sK33(v_y____,v_P,tc_RealDef_Oreal)))
| spl141_7 ),
inference(resolution,[],[f5336,f2624]) ).
fof(f5630,definition,
( spl141_9
<=> ! [X0] :
( ~ c_Lubs_OisLub(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),X0,v_L____)
| c_member(tc_RealDef_Oreal,sK33(v_y____,X0,tc_RealDef_Oreal),X0) ) ),
introduced(definition,[new_symbols(definition,[spl141_9])],[avatar_definition]) ).
fof(f5631,plain,
( ! [X0] :
( ~ c_Lubs_OisLub(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),X0,v_L____)
| c_member(tc_RealDef_Oreal,sK33(v_y____,X0,tc_RealDef_Oreal),X0) )
| ~ spl141_9 ),
inference(avatar_component_clause,[],[f5630]) ).
fof(f5632,plain,
( spl141_9
| ~ spl141_2 ),
inference(avatar_split_clause,[],[f4828,f4781,f5630]) ).
fof(f5875,plain,
( c_member(tc_RealDef_Oreal,sK33(v_y____,c_Set_OCollect(tc_RealDef_Oreal,v_P),tc_RealDef_Oreal),c_Set_OCollect(tc_RealDef_Oreal,v_P))
| ~ spl141_9 ),
inference(resolution,[],[f5631,f2724]) ).
fof(f5885,plain,
( c_member(tc_RealDef_Oreal,sK33(v_y____,v_P,tc_RealDef_Oreal),v_P)
| ~ spl141_9 ),
inference(forward_demodulation,[],[f5875,f2757]) ).
fof(f5888,definition,
( spl141_12
<=> c_member(tc_RealDef_Oreal,sK33(v_y____,v_P,tc_RealDef_Oreal),v_P) ),
introduced(definition,[new_symbols(definition,[spl141_12])],[avatar_definition]) ).
fof(f5890,plain,
( c_member(tc_RealDef_Oreal,sK33(v_y____,v_P,tc_RealDef_Oreal),v_P)
| ~ spl141_12 ),
inference(avatar_component_clause,[],[f5888]) ).
fof(f5891,plain,
( spl141_12
| ~ spl141_9 ),
inference(avatar_split_clause,[],[f5885,f5630,f5888]) ).
fof(f5896,plain,
( hBOOL(hAPP(v_P,sK33(v_y____,v_P,tc_RealDef_Oreal)))
| ~ spl141_12 ),
inference(resolution,[],[f5890,f2780]) ).
fof(f5970,plain,
( $false
| spl141_7
| ~ spl141_12 ),
inference(forward_subsumption_resolution,[],[f5896,f5338]) ).
fof(f5971,plain,
( spl141_7
| ~ spl141_12 ),
inference(avatar_contradiction_clause,[],[f5970]) ).
cnf(s1,plain,
~ spl141_1,
inference(sat_conversion,[],[f4642]) ).
cnf(s2,plain,
( spl141_1
| spl141_2 ),
inference(sat_conversion,[],[f4783]) ).
cnf(s3,plain,
( ~ spl141_2
| spl141_3 ),
inference(sat_conversion,[],[f4835]) ).
cnf(s7,plain,
( ~ spl141_3
| ~ spl141_7 ),
inference(sat_conversion,[],[f5337]) ).
cnf(s9,plain,
( ~ spl141_2
| spl141_9 ),
inference(sat_conversion,[],[f5632]) ).
cnf(s12,plain,
( ~ spl141_9
| spl141_12 ),
inference(sat_conversion,[],[f5891]) ).
cnf(s13,plain,
( spl141_7
| ~ spl141_12 ),
inference(sat_conversion,[],[f5971]) ).
cnf(s17,plain,
spl141_2,
inference(rat,[],[s2,s1]) ).
cnf(s21,plain,
spl141_9,
inference(rat,[],[s9,s17]) ).
cnf(s22,plain,
spl141_3,
inference(rat,[],[s3,s17]) ).
cnf(s23,plain,
spl141_12,
inference(rat,[],[s12,s21]) ).
cnf(s24,plain,
~ spl141_7,
inference(rat,[],[s7,s22]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s13,s23,s24]) ).
fof(f5972,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW191+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n004.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 13:13:22 UTC 2026
% 0.09/0.24 % CPUTime :
% 0.09/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.29 Running first-order theorem proving
% 0.09/0.30 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
% 8.86/2.28 % (351167)Detected formulas, will run a generic FOF schedule.
% 8.86/2.28 % (351189)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=1030476193:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.86/2.28 % (351192)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1205687909:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.86/2.28 % (351195)dis-21_1_sil=8000:lcm=predicate:random_seed=920591013: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)
% 8.86/2.28 % (351193)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3863842524:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.86/2.28 % (351190)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=2493434568:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.86/2.28 % (351194)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2108459462:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.86/2.28 % (351191)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=895097178:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.86/2.28 % (351192)Instruction limit reached!
% 8.86/2.28 % (351192)------------------------------
% 8.86/2.28 % (351192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.86/2.28 % (351192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/2.28 % (351192)CaDiCaL version: 2.1.3
% 8.86/2.28 % (351192)Termination reason: Instruction limit
% 8.86/2.28 % (351192)Termination phase: Saturation
% 8.86/2.28 % (351192)Time elapsed: 0.061 s
% 8.86/2.28 % (351192)Peak memory usage: 89 MB
% 8.86/2.28 % (351192)Instructions burned: 109 (million)
% 8.86/2.28 % (351194)Instruction limit reached!
% 8.86/2.28 % (351194)------------------------------
% 8.86/2.28 % (351194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.86/2.28 % (351194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/2.28 % (351194)CaDiCaL version: 2.1.3
% 8.86/2.28 % (351194)Termination reason: Instruction limit
% 8.86/2.28 % (351194)Termination phase: Saturation
% 8.86/2.28 % (351194)Time elapsed: 0.088 s
% 8.86/2.28 % (351194)Peak memory usage: 91 MB
% 8.86/2.28 % (351194)Instructions burned: 140 (million)
% 8.86/2.28 % (351193)Instruction limit reached!
% 8.86/2.28 % (351193)------------------------------
% 8.86/2.28 % (351193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.86/2.28 % (351193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/2.28 % (351193)CaDiCaL version: 2.1.3
% 8.86/2.28 % (351193)Termination reason: Instruction limit
% 8.86/2.28 % (351193)Termination phase: Saturation
% 8.86/2.28 % (351193)Time elapsed: 0.104 s
% 8.86/2.28 % (351193)Peak memory usage: 89 MB
% 8.86/2.28 % (351193)Instructions burned: 120 (million)
% 8.86/2.28 % (351195)Instruction limit reached!
% 8.86/2.28 % (351195)------------------------------
% 8.86/2.28 % (351195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.86/2.28 % (351195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/2.28 % (351195)CaDiCaL version: 2.1.3
% 8.86/2.28 % (351195)Termination reason: Instruction limit
% 8.86/2.28 % (351195)Termination phase: Saturation
% 8.86/2.28 % (351195)Time elapsed: 0.119 s
% 8.86/2.28 % (351195)Peak memory usage: 91 MB
% 8.86/2.28 % (351195)Instructions burned: 130 (million)
% 8.86/2.28 % (351209)lrs+10_1_sil=8000:sp=occurrence:random_seed=652288299:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.86/2.28 % (351210)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2677542405:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 8.86/2.28 % (351211)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3682055917:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 8.86/2.28 % (351212)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=562168227:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 8.86/2.28 % (351210)Instruction limit reached!
% 8.86/2.28 % (351210)------------------------------
% 8.86/2.28 % (351210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.86/2.28 % (351210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/2.28 % (351210)CaDiCaL version: 2.1.3
% 8.86/2.28 % (351210)Termination reason: Instruction limit
% 8.86/2.28 % (351210)Termination phase: Saturation
% 8.86/2.28 % (351210)Time elapsed: 0.133 s
% 8.86/2.28 % (351210)Peak memory usage: 88 MB
% 8.86/2.28 % (351210)Instructions burned: 157 (million)
% 8.86/2.28 % (351209)Instruction limit reached!
% 8.86/2.28 % (351209)------------------------------
% 8.86/2.28 % (351209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.86/2.28 % (351209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/2.28 % (351209)CaDiCaL version: 2.1.3
% 8.86/2.28 % (351209)Termination reason: Instruction limit
% 8.86/2.28 % (351209)Termination phase: Saturation
% 8.86/2.28 % (351209)Time elapsed: 0.307 s
% 8.86/2.28 % (351209)Peak memory usage: 92 MB
% 8.86/2.28 % (351209)Instructions burned: 286 (million)
% 8.86/2.28 % (351212)Instruction limit reached!
% 8.86/2.28 % (351212)------------------------------
% 8.86/2.28 % (351212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.86/2.28 % (351212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/2.28 % (351212)CaDiCaL version: 2.1.3
% 8.86/2.28 % (351212)Termination reason: Instruction limit
% 8.86/2.28 % (351212)Termination phase: Saturation
% 8.86/2.28 % (351212)Time elapsed: 0.245 s
% 8.86/2.28 % (351212)Peak memory usage: 92 MB
% 8.86/2.28 % (351212)Instructions burned: 248 (million)
% 8.86/2.28 % (351211)Instruction limit reached!
% 8.86/2.28 % (351211)------------------------------
% 8.86/2.28 % (351211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.86/2.28 % (351211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/2.28 % (351211)CaDiCaL version: 2.1.3
% 8.86/2.28 % (351211)Termination reason: Instruction limit
% 8.86/2.28 % (351211)Termination phase: Saturation
% 8.86/2.28 % (351211)Time elapsed: 0.263 s
% 8.86/2.28 % (351211)Peak memory usage: 89 MB
% 8.86/2.28 % (351211)Instructions burned: 326 (million)
% 8.86/2.28 % (351219)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2753267637:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 8.86/2.28 % (351220)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1400579195:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 8.86/2.28 % (351191)First to succeed.
% 8.86/2.28 % (351191)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-351167"
% 8.86/2.28 % (351221)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3624906516:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 8.86/2.28 % (351219)Instruction limit reached!
% 8.86/2.28 % (351219)------------------------------
% 8.86/2.28 % (351219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.86/2.28 % (351219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/2.28 % (351219)CaDiCaL version: 2.1.3
% 8.86/2.28 % (351219)Termination reason: Instruction limit
% 8.86/2.28 % (351219)Termination phase: Saturation
% 8.86/2.28 % (351219)Time elapsed: 0.203 s
% 8.86/2.28 % (351219)Peak memory usage: 92 MB
% 8.86/2.28 % (351219)Instructions burned: 294 (million)
% 8.86/2.28 % (351223)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1055846783:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 8.86/2.28 % (351221)Instruction limit reached!
% 8.86/2.28 % (351221)------------------------------
% 8.86/2.28 % (351221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.86/2.28 % (351221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/2.28 % (351221)CaDiCaL version: 2.1.3
% 8.86/2.28 % (351221)Termination reason: Instruction limit
% 8.86/2.28 % (351221)Termination phase: Saturation
% 8.86/2.28 % (351221)Time elapsed: 0.105 s
% 8.86/2.28 % (351221)Peak memory usage: 91 MB
% 8.86/2.28 % (351221)Instructions burned: 113 (million)
% 8.86/2.28 % (351223)Instruction limit reached!
% 8.86/2.28 % (351223)------------------------------
% 8.86/2.28 % (351223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.86/2.28 % (351223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/2.28 % (351223)CaDiCaL version: 2.1.3
% 8.86/2.28 % (351223)Termination reason: Instruction limit
% 8.86/2.28 % (351223)Termination phase: Saturation
% 8.86/2.28 % (351223)Time elapsed: 0.109 s
% 8.86/2.28 % (351223)Peak memory usage: 90 MB
% 8.86/2.28 % (351223)Instructions burned: 127 (million)
% 8.86/2.28 % (351227)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1385035441:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 8.86/2.28 % (351191)Refutation found. Thanks to Tanya!
% 8.86/2.28 % SZS status Theorem for theBenchmark
% 8.86/2.28 % SZS output start Proof for theBenchmark
% See solution above
% 9.83/2.56 % (351191)------------------------------
% 9.83/2.56 % (351191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.56 % (351191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.56 % (351191)CaDiCaL version: 2.1.3
% 9.83/2.56 % (351191)Termination reason: Refutation
% 9.83/2.56 % (351191)Time elapsed: 0.776 s
% 9.83/2.56 % (351191)Peak memory usage: 140 MB
% 9.83/2.56 % (351191)Instructions burned: 1397 (million)
% 9.83/2.56 % (351191)------------------------------
% 9.83/2.56 % (351191)------------------------------
% 9.83/2.56 % (351167)Success in time 1.285 s
% 9.83/2.56 % Vampire exiting
%------------------------------------------------------------------------------