%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC109-1 : 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 01:02:29 PM UTC 2026
% Result : Unsatisfiable 2.94s 1.27s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 32
% Syntax : Number of formulae : 130 ( 16 unt; 12 def)
% Number of atoms : 353 ( 55 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 418 ( 195 ~; 211 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 13 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f100,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
fof(f123,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f124,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
inference(reorient_equations,[],[f123]) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f210,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f210]) ).
fof(f216,negated_conjecture,
( ssList(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f217,negated_conjecture,
( ssList(sk7)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f220,negated_conjecture,
( app(app(sk6,sk3),sk7) = sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f221,plain,
( sk4 = app(app(sk6,sk3),sk7)
| nil = sk3 ),
inference(reorient_equations,[],[f220]) ).
fof(f225,negated_conjecture,
( nil = sk2
| ~ neq(sk1,nil)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_22) ).
fof(f226,negated_conjecture,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_23) ).
fof(f231,plain,
( nil = sk4
| ~ neq(sk3,nil)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f225,f204,f205,f204,f205]) ).
fof(f232,plain,
( nil != sk3
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f226,f205,f204]) ).
fof(f240,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f241,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f243,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f240]) ).
fof(f249,definition,
( spl0_1
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f251,plain,
( ~ segmentP(sk4,sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f253,definition,
( spl0_2
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f255,plain,
( ~ neq(sk3,nil)
| spl0_2 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f257,definition,
( spl0_3
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f258,plain,
( nil = sk3
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f259,plain,
( nil != sk3
| spl0_3 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f262,definition,
( spl0_4
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f264,plain,
( neq(sk4,nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f265,plain,
( spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f232,f257,f262]) ).
fof(f267,definition,
( spl0_5
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f269,plain,
( nil = sk4
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f231,f267,f253,f249]) ).
fof(f281,definition,
( spl0_8
<=> sk4 = app(app(sk6,sk3),sk7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f283,plain,
( sk4 = app(app(sk6,sk3),sk7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f284,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f221,f281,f257]) ).
fof(f286,definition,
( spl0_9
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f288,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f291,definition,
( spl0_10
<=> ssList(sk7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f293,plain,
( ssList(sk7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f294,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f217,f291,f257]) ).
fof(f296,definition,
( spl0_11
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f298,plain,
( ssList(sk6)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f299,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f216,f296,f257]) ).
fof(f303,plain,
( spl0_5
| spl0_9 ),
inference(avatar_split_clause,[],[f211,f286,f267]) ).
fof(f307,definition,
( spl0_12
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f309,plain,
( ssItem(sk5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f311,plain,
( spl0_5
| spl0_12 ),
inference(avatar_split_clause,[],[f206,f307,f267]) ).
fof(f312,plain,
( ~ segmentP(sk4,nil)
| spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f251,f258]) ).
fof(f314,plain,
( ~ segmentP(nil,nil)
| spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f312,f269]) ).
fof(f315,plain,
( neq(nil,nil)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f264,f269]) ).
fof(f319,plain,
( ~ ssList(nil)
| spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f56,f314]) ).
fof(f320,plain,
( $false
| spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f319,f8]) ).
fof(f321,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f322,plain,
( nil = app(app(sk6,sk3),sk7)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f283,f269]) ).
fof(f323,plain,
( ~ ssList(nil)
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f243,f315]) ).
fof(f324,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f323,f8]) ).
fof(f325,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f324]) ).
fof(f356,plain,
( nil != sk3
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_9 ),
inference(superposition,[],[f100,f288]) ).
fof(f374,plain,
( nil != nil
| ~ ssList(sk7)
| ~ ssList(app(sk6,sk3))
| nil = app(sk6,sk3)
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f122,f322]) ).
fof(f378,plain,
( ~ ssList(sk7)
| ~ ssList(app(sk6,sk3))
| nil = app(sk6,sk3)
| ~ spl0_5
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f374]) ).
fof(f379,plain,
( ~ ssList(app(sk6,sk3))
| nil = app(sk6,sk3)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f378,f293]) ).
fof(f381,definition,
( spl0_13
<=> nil = app(sk6,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f383,plain,
( nil = app(sk6,sk3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f385,definition,
( spl0_14
<=> ssList(app(sk6,sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f387,plain,
( ~ ssList(app(sk6,sk3))
| spl0_14 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f388,plain,
( spl0_13
| ~ spl0_14
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f379,f291,f281,f267,f385,f381]) ).
fof(f394,plain,
( ~ ssList(sk6)
| ~ ssList(sk3)
| spl0_14 ),
inference(resolution,[],[f387,f85]) ).
fof(f395,plain,
( ~ ssList(sk3)
| ~ spl0_11
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f394,f298]) ).
fof(f396,plain,
( $false
| ~ spl0_11
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f395,f202]) ).
fof(f397,plain,
( ~ spl0_11
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f396]) ).
fof(f415,plain,
( nil != nil
| ~ ssList(sk3)
| ~ ssList(sk6)
| nil = sk3
| ~ spl0_13 ),
inference(superposition,[],[f124,f383]) ).
fof(f419,plain,
( ~ ssList(sk3)
| ~ ssList(sk6)
| nil = sk3
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f415]) ).
fof(f421,plain,
( ~ ssList(sk6)
| nil = sk3
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f419,f202]) ).
fof(f424,plain,
( nil = sk3
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f421,f298]) ).
fof(f425,plain,
( $false
| spl0_3
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f424,f259]) ).
fof(f426,plain,
( spl0_3
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f875,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk6)
| ~ ssList(sk3)
| ~ ssList(sk4)
| ~ ssList(sk7)
| ~ spl0_8 ),
inference(superposition,[],[f241,f283]) ).
fof(f880,plain,
( ~ ssList(sk6)
| ~ ssList(sk3)
| ~ ssList(sk4)
| ~ ssList(sk7)
| spl0_1
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f875,f251]) ).
fof(f890,plain,
( ~ ssList(sk3)
| ~ ssList(sk4)
| ~ ssList(sk7)
| spl0_1
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f880,f298]) ).
fof(f899,plain,
( ~ ssList(sk4)
| ~ ssList(sk7)
| spl0_1
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f890,f202]) ).
fof(f904,plain,
( ~ ssList(sk7)
| spl0_1
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f899,f203]) ).
fof(f905,plain,
( $false
| spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f904,f293]) ).
fof(f906,plain,
( spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f905]) ).
fof(f923,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3
| spl0_2 ),
inference(resolution,[],[f255,f102]) ).
fof(f924,plain,
( ~ ssList(nil)
| nil = sk3
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f923,f202]) ).
fof(f926,plain,
( nil = sk3
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f924,f8]) ).
fof(f936,plain,
( $false
| spl0_2
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f926,f259]) ).
fof(f937,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f936]) ).
fof(f939,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f356,f258]) ).
fof(f941,plain,
( ~ ssList(nil)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f939,f309]) ).
fof(f944,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f941,f8]) ).
fof(f945,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f944]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f265]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f270]) ).
cnf(s7,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f284]) ).
cnf(s9,plain,
( spl0_3
| spl0_10 ),
inference(sat_conversion,[],[f294]) ).
cnf(s10,plain,
( spl0_3
| spl0_11 ),
inference(sat_conversion,[],[f299]) ).
cnf(s14,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f303]) ).
cnf(s18,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f311]) ).
cnf(s19,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f321]) ).
cnf(s20,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f325]) ).
cnf(s21,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f388]) ).
cnf(s22,plain,
( ~ spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f397]) ).
cnf(s23,plain,
( spl0_3
| ~ spl0_11
| ~ spl0_13 ),
inference(sat_conversion,[],[f426]) ).
cnf(s28,plain,
( spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f906]) ).
cnf(s31,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f937]) ).
cnf(s33,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_12 ),
inference(sat_conversion,[],[f945]) ).
cnf(s34,plain,
( ~ spl0_3
| spl0_1 ),
inference(rat,[],[s33,s14,s18,s19]) ).
cnf(s35,plain,
spl0_1,
inference(rat,[],[s28,s7,s9,s10,s34]) ).
cnf(s36,plain,
~ spl0_3,
inference(rat,[],[s33,s14,s18,s20,s2]) ).
cnf(s37,plain,
spl0_2,
inference(rat,[],[s31,s36]) ).
cnf(s39,plain,
spl0_11,
inference(rat,[],[s10,s36]) ).
cnf(s40,plain,
spl0_10,
inference(rat,[],[s9,s36]) ).
cnf(s42,plain,
spl0_8,
inference(rat,[],[s7,s36]) ).
cnf(s45,plain,
spl0_5,
inference(rat,[],[s3,s35,s37]) ).
cnf(s46,plain,
~ spl0_13,
inference(rat,[],[s23,s36,s39]) ).
cnf(s47,plain,
spl0_14,
inference(rat,[],[s22,s39]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s21,s47,s46,s40,s45,s42]) ).
fof(f946,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC109-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n010.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 07:55:03 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 2.94/1.27 % (1754148)Input is clausal, will run a generic CNF schedule.
% 2.94/1.27 % (1754159)dis-21_1_sil=8000:lcm=predicate:random_seed=3671965525: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)
% 2.94/1.27 % (1754153)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=2761167959:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.94/1.27 % (1754159)Instruction limit reached!
% 2.94/1.27 % (1754159)------------------------------
% 2.94/1.27 % (1754159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.27 % (1754159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.27 % (1754159)CaDiCaL version: 2.1.3
% 2.94/1.27 % (1754159)Termination reason: Instruction limit
% 2.94/1.27 % (1754159)Termination phase: Saturation
% 2.94/1.27 % (1754159)Time elapsed: 0.037 s
% 2.94/1.27 % (1754159)Peak memory usage: 90 MB
% 2.94/1.27 % (1754159)Instructions burned: 120 (million)
% 2.94/1.27 % (1754154)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1545032793:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.94/1.27 % (1754156)lrs+10_1_sil=8000:sp=occurrence:random_seed=4115994743:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.94/1.27 % (1754158)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1888467050:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.94/1.27 % (1754155)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3367150778:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.94/1.27 % (1754157)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1836642573:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.94/1.27 % (1754156)First to succeed.
% 2.94/1.27 % (1754156)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1754148"
% 2.94/1.27 % (1754157)Also succeeded, but the first one will report.
% 2.94/1.27 % (1754158)Also succeeded, but the first one will report.
% 2.94/1.27 % (1754166)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=2353277644:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.94/1.27 % (1754166)Also succeeded, but the first one will report.
% 2.94/1.27 % (1754156)Refutation found. Thanks to Tanya!
% 2.94/1.27 % SZS status Unsatisfiable for theBenchmark
% 2.94/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.46 % (1754156)------------------------------
% 3.58/1.46 % (1754156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.46 % (1754156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.46 % (1754156)CaDiCaL version: 2.1.3
% 3.58/1.46 % (1754156)Termination reason: Refutation
% 3.58/1.46 % (1754156)Time elapsed: 0.016 s
% 3.58/1.46 % (1754156)Peak memory usage: 90 MB
% 3.58/1.46 % (1754156)Instructions burned: 24 (million)
% 3.58/1.46 % (1754156)------------------------------
% 3.58/1.46 % (1754156)------------------------------
% 3.58/1.46 % (1754148)Success in time 0.427 s
% 3.58/1.46 % Vampire exiting
%------------------------------------------------------------------------------