%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC228-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:03:02 PM UTC 2026
% Result : Unsatisfiable 7.04s 1.97s
% Output : Refutation 9.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 21
% Syntax : Number of formulae : 87 ( 21 unt; 8 def)
% Number of atoms : 258 ( 53 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 318 ( 147 ~; 167 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 66 ( 0 sgn 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f77,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f107,axiom,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,cons(X0,nil)),X2) != sk1
| ssItem(sk5(X2,X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| sk1 != app(app(X1,cons(X0,nil)),X2)
| ssItem(sk5(X2,X1,X0)) ),
inference(reorient_equations,[],[f207]) ).
fof(f209,negated_conjecture,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,cons(X0,nil)),X2) != sk1
| memberP(X1,sk5(X2,X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| sk1 != app(app(X1,cons(X0,nil)),X2)
| memberP(X1,sk5(X2,X1,X0)) ),
inference(reorient_equations,[],[f209]) ).
fof(f226,plain,
nil != sk3,
inference(definition_unfolding,[],[f206,f205]) ).
fof(f227,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| sk3 != app(app(X1,cons(X0,nil)),X2)
| ssItem(sk5(X2,X1,X0)) ),
inference(definition_unfolding,[],[f208,f205]) ).
fof(f228,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| sk3 != app(app(X1,cons(X0,nil)),X2)
| memberP(X1,sk5(X2,X1,X0)) ),
inference(definition_unfolding,[],[f210,f205]) ).
fof(f256,definition,
! [X0] : sF0(X0) = cons(X0,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f257,plain,
! [X0] : cons(X0,nil) = sF0(X0),
inference(reorient_equations,[],[f256]) ).
fof(f258,definition,
! [X0,X1] : sF1(X1,X0) = app(X1,sF0(X0)),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f259,plain,
! [X0,X1] : app(X1,sF0(X0)) = sF1(X1,X0),
inference(reorient_equations,[],[f258]) ).
fof(f260,definition,
! [X2,X0,X1] : sF2(X1,X0,X2) = app(sF1(X1,X0),X2),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f261,plain,
! [X2,X0,X1] : app(sF1(X1,X0),X2) = sF2(X1,X0,X2),
inference(reorient_equations,[],[f260]) ).
fof(f262,plain,
! [X2,X0,X1] :
( sk3 != sF2(X1,X0,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| ssItem(sk5(X2,X1,X0)) ),
inference(definition_folding,[],[f227,f261,f259,f257]) ).
fof(f263,plain,
! [X2,X0,X1] :
( sk3 != sF2(X1,X0,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| memberP(X1,sk5(X2,X1,X0)) ),
inference(definition_folding,[],[f228,f261,f259,f257]) ).
fof(f270,definition,
! [X0,X1] : sF4(X0,X1) = app(sF0(X0),X1),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f271,plain,
! [X0,X1] : app(sF0(X0),X1) = sF4(X0,X1),
inference(reorient_equations,[],[f270]) ).
fof(f280,definition,
( spl5_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f282,plain,
( nil != sk3
| spl5_1 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f288,plain,
~ spl5_1,
inference(avatar_split_clause,[],[f226,f280]) ).
fof(f294,definition,
( spl5_4
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
fof(f295,plain,
( ssList(nil)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f330,plain,
spl5_4,
inference(avatar_split_clause,[],[f8,f294]) ).
fof(f345,plain,
! [X0] :
( ssList(sF0(X0))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(superposition,[],[f86,f257]) ).
fof(f346,plain,
( ! [X0] :
( ssList(sF0(X0))
| ~ ssItem(X0) )
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f345,f295]) ).
fof(f359,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| nil = sk3 ),
inference(resolution,[],[f107,f202]) ).
fof(f370,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f359,f282]) ).
fof(f414,definition,
( spl5_14
<=> ssList(tl(sk3)) ),
introduced(definition,[new_symbols(definition,[spl5_14])],[avatar_definition]) ).
fof(f415,plain,
( ssList(tl(sk3))
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f416,plain,
( ~ ssList(tl(sk3))
| spl5_14 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f434,plain,
( ~ ssList(sk3)
| nil = sk3
| spl5_14 ),
inference(resolution,[],[f416,f77]) ).
fof(f435,plain,
( nil = sk3
| spl5_14 ),
inference(forward_subsumption_resolution,[],[f434,f202]) ).
fof(f436,plain,
( $false
| spl5_1
| spl5_14 ),
inference(forward_subsumption_resolution,[],[f435,f282]) ).
fof(f437,plain,
( spl5_1
| spl5_14 ),
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f443,definition,
( spl5_17
<=> ssItem(hd(sk3)) ),
introduced(definition,[new_symbols(definition,[spl5_17])],[avatar_definition]) ).
fof(f444,plain,
( ssItem(hd(sk3))
| ~ spl5_17 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f445,plain,
( ~ ssItem(hd(sk3))
| spl5_17 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f458,plain,
( ~ ssList(sk3)
| nil = sk3
| spl5_17 ),
inference(resolution,[],[f445,f78]) ).
fof(f459,plain,
( nil = sk3
| spl5_17 ),
inference(forward_subsumption_resolution,[],[f458,f202]) ).
fof(f460,plain,
( $false
| spl5_1
| spl5_17 ),
inference(forward_subsumption_resolution,[],[f459,f282]) ).
fof(f461,plain,
( spl5_1
| spl5_17 ),
inference(avatar_contradiction_clause,[],[f460]) ).
fof(f462,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(hd(sk3),X0) = app(cons(hd(sk3),nil),X0) )
| ~ spl5_17 ),
inference(resolution,[],[f444,f126]) ).
fof(f463,plain,
( ! [X0] :
( cons(hd(sk3),X0) = app(sF0(hd(sk3)),X0)
| ~ ssList(X0) )
| ~ spl5_17 ),
inference(forward_demodulation,[],[f462,f257]) ).
fof(f464,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(hd(sk3),X0) = sF4(hd(sk3),X0) )
| ~ spl5_17 ),
inference(forward_demodulation,[],[f463,f271]) ).
fof(f478,plain,
( ! [X0] :
( ~ ssItem(X0)
| sF0(X0) = app(nil,sF0(X0)) )
| ~ spl5_4 ),
inference(resolution,[],[f346,f74]) ).
fof(f479,plain,
( ! [X0] :
( ~ ssItem(X0)
| sF0(X0) = sF1(nil,X0) )
| ~ spl5_4 ),
inference(forward_demodulation,[],[f478,f259]) ).
fof(f484,plain,
( sF0(hd(sk3)) = sF1(nil,hd(sk3))
| ~ spl5_4
| ~ spl5_17 ),
inference(resolution,[],[f479,f444]) ).
fof(f485,plain,
( ! [X0] : app(sF0(hd(sk3)),X0) = sF2(nil,hd(sk3),X0)
| ~ spl5_4
| ~ spl5_17 ),
inference(superposition,[],[f261,f484]) ).
fof(f486,plain,
( ! [X0] : sF4(hd(sk3),X0) = sF2(nil,hd(sk3),X0)
| ~ spl5_4
| ~ spl5_17 ),
inference(forward_demodulation,[],[f485,f271]) ).
fof(f490,plain,
( ! [X0] :
( sk3 != sF4(hd(sk3),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(hd(sk3))
| memberP(nil,sk5(X0,nil,hd(sk3))) )
| ~ spl5_4
| ~ spl5_17 ),
inference(superposition,[],[f263,f486]) ).
fof(f491,plain,
( ! [X0] :
( sk3 != sF4(hd(sk3),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(hd(sk3))
| ssItem(sk5(X0,nil,hd(sk3))) )
| ~ spl5_4
| ~ spl5_17 ),
inference(superposition,[],[f262,f486]) ).
fof(f492,plain,
( ! [X0] :
( sk3 != sF4(hd(sk3),X0)
| ~ ssList(X0)
| ~ ssItem(hd(sk3))
| ssItem(sk5(X0,nil,hd(sk3))) )
| ~ spl5_4
| ~ spl5_17 ),
inference(forward_subsumption_resolution,[],[f491,f295]) ).
fof(f493,plain,
( ! [X0] :
( sk3 != sF4(hd(sk3),X0)
| ~ ssList(X0)
| ~ ssItem(hd(sk3))
| memberP(nil,sk5(X0,nil,hd(sk3))) )
| ~ spl5_4
| ~ spl5_17 ),
inference(forward_subsumption_resolution,[],[f490,f295]) ).
fof(f497,plain,
( ! [X0] :
( sk3 != sF4(hd(sk3),X0)
| ~ ssList(X0)
| ssItem(sk5(X0,nil,hd(sk3))) )
| ~ spl5_4
| ~ spl5_17 ),
inference(forward_subsumption_resolution,[],[f492,f444]) ).
fof(f498,plain,
( ! [X0] :
( sk3 != sF4(hd(sk3),X0)
| ~ ssList(X0)
| memberP(nil,sk5(X0,nil,hd(sk3))) )
| ~ spl5_4
| ~ spl5_17 ),
inference(forward_subsumption_resolution,[],[f493,f444]) ).
fof(f514,plain,
( cons(hd(sk3),tl(sk3)) = sF4(hd(sk3),tl(sk3))
| ~ spl5_14
| ~ spl5_17 ),
inference(resolution,[],[f415,f464]) ).
fof(f534,plain,
( sk3 = sF4(hd(sk3),tl(sk3))
| spl5_1
| ~ spl5_14
| ~ spl5_17 ),
inference(forward_demodulation,[],[f514,f370]) ).
fof(f535,plain,
( sk3 != sk3
| ~ ssList(tl(sk3))
| ssItem(sk5(tl(sk3),nil,hd(sk3)))
| spl5_1
| ~ spl5_4
| ~ spl5_14
| ~ spl5_17 ),
inference(superposition,[],[f497,f534]) ).
fof(f536,plain,
( sk3 != sk3
| ~ ssList(tl(sk3))
| memberP(nil,sk5(tl(sk3),nil,hd(sk3)))
| spl5_1
| ~ spl5_4
| ~ spl5_14
| ~ spl5_17 ),
inference(superposition,[],[f498,f534]) ).
fof(f537,plain,
( ~ ssList(tl(sk3))
| memberP(nil,sk5(tl(sk3),nil,hd(sk3)))
| spl5_1
| ~ spl5_4
| ~ spl5_14
| ~ spl5_17 ),
inference(trivial_inequality_removal,[],[f536]) ).
fof(f538,plain,
( ~ ssList(tl(sk3))
| ssItem(sk5(tl(sk3),nil,hd(sk3)))
| spl5_1
| ~ spl5_4
| ~ spl5_14
| ~ spl5_17 ),
inference(trivial_inequality_removal,[],[f535]) ).
fof(f539,plain,
( memberP(nil,sk5(tl(sk3),nil,hd(sk3)))
| spl5_1
| ~ spl5_4
| ~ spl5_14
| ~ spl5_17 ),
inference(forward_subsumption_resolution,[],[f537,f415]) ).
fof(f540,plain,
( ssItem(sk5(tl(sk3),nil,hd(sk3)))
| spl5_1
| ~ spl5_4
| ~ spl5_14
| ~ spl5_17 ),
inference(forward_subsumption_resolution,[],[f538,f415]) ).
fof(f547,plain,
( ~ ssItem(sk5(tl(sk3),nil,hd(sk3)))
| spl5_1
| ~ spl5_4
| ~ spl5_14
| ~ spl5_17 ),
inference(resolution,[],[f539,f71]) ).
fof(f548,plain,
( $false
| spl5_1
| ~ spl5_4
| ~ spl5_14
| ~ spl5_17 ),
inference(forward_subsumption_resolution,[],[f547,f540]) ).
fof(f549,plain,
( spl5_1
| ~ spl5_4
| ~ spl5_14
| ~ spl5_17 ),
inference(avatar_contradiction_clause,[],[f548]) ).
cnf(s2,plain,
~ spl5_1,
inference(sat_conversion,[],[f288]) ).
cnf(s12,plain,
spl5_4,
inference(sat_conversion,[],[f330]) ).
cnf(s16,plain,
( spl5_1
| spl5_14 ),
inference(sat_conversion,[],[f437]) ).
cnf(s19,plain,
( spl5_1
| spl5_17 ),
inference(sat_conversion,[],[f461]) ).
cnf(s25,plain,
( spl5_1
| ~ spl5_4
| ~ spl5_14
| ~ spl5_17 ),
inference(sat_conversion,[],[f549]) ).
cnf(s30,plain,
spl5_17,
inference(rat,[],[s19,s2]) ).
cnf(s31,plain,
spl5_14,
inference(rat,[],[s16,s2]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s25,s2,s12,s30,s31]) ).
fof(f550,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC228-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n010.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 08:34:42 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 7.04/1.97 % (1773184)Input is clausal, will run a generic CNF schedule.
% 7.04/1.97 % (1773322)lrs+10_1_sil=8000:sp=occurrence:random_seed=1887117365:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.04/1.97 % (1773322)Instruction limit reached!
% 7.04/1.97 % (1773322)------------------------------
% 7.04/1.97 % (1773322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/1.97 % (1773322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.97 % (1773322)CaDiCaL version: 2.1.3
% 7.04/1.97 % (1773322)Termination reason: Instruction limit
% 7.04/1.97 % (1773322)Termination phase: Saturation
% 7.04/1.97 % (1773322)Time elapsed: 0.036 s
% 7.04/1.97 % (1773322)Peak memory usage: 90 MB
% 7.04/1.97 % (1773322)Instructions burned: 110 (million)
% 7.04/1.97 % (1773325)dis-21_1_sil=8000:lcm=predicate:random_seed=191503214:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 7.04/1.97 % (1773319)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=4027995945:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.04/1.97 % (1773323)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1873303420:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.04/1.97 % (1773321)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3146268210:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.04/1.97 % (1773324)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1818263638:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.04/1.97 % (1773320)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3311938434:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.04/1.97 % (1773325)Instruction limit reached!
% 7.04/1.97 % (1773325)------------------------------
% 7.04/1.97 % (1773325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/1.97 % (1773325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.97 % (1773325)CaDiCaL version: 2.1.3
% 7.04/1.97 % (1773325)Termination reason: Instruction limit
% 7.04/1.97 % (1773325)Termination phase: Saturation
% 7.04/1.97 % (1773325)Time elapsed: 0.054 s
% 7.04/1.97 % (1773325)Peak memory usage: 89 MB
% 7.04/1.97 % (1773325)Instructions burned: 119 (million)
% 7.04/1.97 % (1773323)Instruction limit reached!
% 7.04/1.97 % (1773323)------------------------------
% 7.04/1.97 % (1773323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/1.97 % (1773323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.97 % (1773323)CaDiCaL version: 2.1.3
% 7.04/1.97 % (1773323)Termination reason: Instruction limit
% 7.04/1.97 % (1773323)Termination phase: Saturation
% 7.04/1.97 % (1773323)Time elapsed: 0.064 s
% 7.04/1.97 % (1773323)Peak memory usage: 89 MB
% 7.04/1.97 % (1773323)Instructions burned: 114 (million)
% 7.04/1.97 % (1773324)Instruction limit reached!
% 7.04/1.97 % (1773324)------------------------------
% 7.04/1.97 % (1773324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/1.97 % (1773324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.97 % (1773324)CaDiCaL version: 2.1.3
% 7.04/1.97 % (1773324)Termination reason: Instruction limit
% 7.04/1.97 % (1773324)Termination phase: Saturation
% 7.04/1.97 % (1773324)Time elapsed: 0.114 s
% 7.04/1.97 % (1773324)Peak memory usage: 90 MB
% 7.04/1.97 % (1773324)Instructions burned: 180 (million)
% 7.04/1.97 % (1773332)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2851199960:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.04/1.97 % (1773332)Instruction limit reached!
% 7.04/1.97 % (1773332)------------------------------
% 7.04/1.97 % (1773332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/1.97 % (1773332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.97 % (1773332)CaDiCaL version: 2.1.3
% 7.04/1.97 % (1773332)Termination reason: Instruction limit
% 7.04/1.97 % (1773332)Termination phase: Saturation
% 7.04/1.97 % (1773332)Time elapsed: 0.048 s
% 7.04/1.97 % (1773332)Peak memory usage: 89 MB
% 7.04/1.97 % (1773332)Instructions burned: 145 (million)
% 7.04/1.97 % (1773334)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3196772745:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 7.04/1.97 % (1773335)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1055740466:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.04/1.97 % (1773337)lrs+10_64_to=lpo:sil=8000:random_seed=2016170413:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.04/1.97 % (1773338)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1286371064:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 7.04/1.97 % (1773334)Instruction limit reached!
% 7.04/1.97 % (1773334)------------------------------
% 7.04/1.97 % (1773334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/1.97 % (1773334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.97 % (1773334)CaDiCaL version: 2.1.3
% 7.04/1.97 % (1773334)Termination reason: Instruction limit
% 7.04/1.97 % (1773334)Termination phase: Saturation
% 7.04/1.97 % (1773334)Time elapsed: 0.098 s
% 7.04/1.97 % (1773334)Peak memory usage: 92 MB
% 7.04/1.97 % (1773334)Instructions burned: 190 (million)
% 7.04/1.97 % (1773337)Instruction limit reached!
% 7.04/1.97 % (1773337)------------------------------
% 7.04/1.97 % (1773337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/1.97 % (1773337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.97 % (1773337)CaDiCaL version: 2.1.3
% 7.04/1.97 % (1773337)Termination reason: Instruction limit
% 7.04/1.97 % (1773337)Termination phase: Saturation
% 7.04/1.97 % (1773337)Time elapsed: 0.066 s
% 7.04/1.97 % (1773337)Peak memory usage: 90 MB
% 7.04/1.97 % (1773337)Instructions burned: 126 (million)
% 7.04/1.97 % (1773338)Instruction limit reached!
% 7.04/1.97 % (1773338)------------------------------
% 7.04/1.97 % (1773338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/1.97 % (1773338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.97 % (1773338)CaDiCaL version: 2.1.3
% 7.04/1.97 % (1773338)Termination reason: Instruction limit
% 7.04/1.97 % (1773338)Termination phase: Saturation
% 7.04/1.97 % (1773338)Time elapsed: 0.059 s
% 7.04/1.97 % (1773338)Peak memory usage: 90 MB
% 7.04/1.97 % (1773338)Instructions burned: 197 (million)
% 7.04/1.97 % (1773335)Instruction limit reached!
% 7.04/1.97 % (1773335)------------------------------
% 7.04/1.97 % (1773335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/1.97 % (1773335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.97 % (1773335)CaDiCaL version: 2.1.3
% 7.04/1.97 % (1773335)Termination reason: Instruction limit
% 7.04/1.97 % (1773335)Termination phase: Saturation
% 7.04/1.97 % (1773335)Time elapsed: 0.133 s
% 7.04/1.97 % (1773335)Peak memory usage: 90 MB
% 7.04/1.97 % (1773335)Instructions burned: 220 (million)
% 7.04/1.97 % (1773343)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4025565797:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.04/1.97 % (1773345)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1551127160:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 7.04/1.97 % (1773344)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=846479879:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.04/1.97 % (1773345)Instruction limit reached!
% 7.04/1.97 % (1773345)------------------------------
% 7.04/1.97 % (1773345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/1.97 % (1773345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.97 % (1773345)CaDiCaL version: 2.1.3
% 7.04/1.97 % (1773345)Termination reason: Instruction limit
% 7.04/1.97 % (1773345)Termination phase: Saturation
% 7.04/1.97 % (1773345)Time elapsed: 0.050 s
% 7.04/1.97 % (1773345)Peak memory usage: 90 MB
% 7.04/1.97 % (1773345)Instructions burned: 108 (million)
% 7.04/1.97 % (1773343)Instruction limit reached!
% 7.04/1.97 % (1773343)------------------------------
% 7.04/1.97 % (1773343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/1.97 % (1773343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.97 % (1773343)CaDiCaL version: 2.1.3
% 7.04/1.97 % (1773343)Termination reason: Instruction limit
% 7.04/1.97 % (1773343)Termination phase: Saturation
% 7.04/1.97 % (1773343)Time elapsed: 0.143 s
% 7.04/1.97 % (1773343)Peak memory usage: 91 MB
% 7.04/1.97 % (1773343)Instructions burned: 158 (million)
% 7.04/1.97 % (1773346)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2695388933:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 7.04/1.97 % (1773346)Instruction limit reached!
% 7.04/1.97 % (1773346)------------------------------
% 7.04/1.97 % (1773346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/1.97 % (1773346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.97 % (1773346)CaDiCaL version: 2.1.3
% 7.04/1.97 % (1773346)Termination reason: Instruction limit
% 7.04/1.97 % (1773346)Termination phase: Saturation
% 7.04/1.97 % (1773346)Time elapsed: 0.109 s
% 7.04/1.97 % (1773346)Peak memory usage: 90 MB
% 7.04/1.97 % (1773346)Instructions burned: 107 (million)
% 7.04/1.97 % (1773319)First to succeed.
% 7.04/1.97 % (1773319)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1773184"
% 7.04/1.97 % (1773321)Also succeeded, but the first one will report.
% 7.04/1.97 % (1773359)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=810689389:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 7.04/1.97 % (1773364)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3511173504:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 7.04/1.97 % (1773369)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1226295068:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 7.04/1.97 % (1773359)Instruction limit reached!
% 7.04/1.97 % (1773359)------------------------------
% 7.04/1.97 % (1773359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.04/1.97 % (1773359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.04/1.97 % (1773359)CaDiCaL version: 2.1.3
% 7.04/1.97 % (1773359)Termination reason: Instruction limit
% 7.04/1.97 % (1773359)Termination phase: Saturation
% 7.04/1.97 % (1773359)Time elapsed: 0.230 s
% 7.04/1.97 % (1773359)Peak memory usage: 90 MB
% 7.04/1.97 % (1773359)Instructions burned: 242 (million)
% 7.04/1.97 % (1773320)Also succeeded, but the first one will report.
% 7.04/1.97 % (1773319)Refutation found. Thanks to Tanya!
% 7.04/1.97 % SZS status Unsatisfiable for theBenchmark
% 7.04/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 9.57/2.11 % (1773319)------------------------------
% 9.57/2.11 % (1773319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.57/2.11 % (1773319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.57/2.11 % (1773319)CaDiCaL version: 2.1.3
% 9.57/2.11 % (1773319)Termination reason: Refutation
% 9.57/2.11 % (1773319)Time elapsed: 0.728 s
% 9.57/2.11 % (1773319)Peak memory usage: 131 MB
% 9.57/2.11 % (1773319)Instructions burned: 1019 (million)
% 9.57/2.11 % (1773319)------------------------------
% 9.57/2.11 % (1773319)------------------------------
% 9.57/2.11 % (1773184)Success in time 1.289 s
% 9.57/2.11 % Vampire exiting
%------------------------------------------------------------------------------