%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC014-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 01:02:02 PM UTC 2026
% Result : Unsatisfiable 2.25s 1.17s
% Output : Refutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 28
% Syntax : Number of formulae : 112 ( 20 unt; 10 def)
% Number of atoms : 318 ( 63 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 399 ( 193 ~; 196 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f99,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(reorient_equations,[],[f98]) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
fof(f144,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f215,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| sk2 != X0
| ~ ssList(X1)
| tl(sk2) != X1
| app(sk1,X1) != X0
| ~ neq(nil,sk2)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f216,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f217,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f218,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f219,plain,
( sk3 = cons(sk5,nil)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f218]) ).
fof(f220,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f221,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f220]) ).
fof(f224,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f231,plain,
! [X0,X1] :
( ~ ssList(X0)
| sk4 != X0
| ~ ssList(X1)
| tl(sk4) != X1
| app(sk3,X1) != X0
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f215,f204,f204,f205,f204]) ).
fof(f234,plain,
! [X1] :
( ~ ssList(sk4)
| ~ ssList(X1)
| tl(sk4) != X1
| sk4 != app(sk3,X1)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f231]) ).
fof(f235,plain,
( ~ ssList(sk4)
| ~ ssList(tl(sk4))
| sk4 != app(sk3,tl(sk4))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f234]) ).
fof(f243,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f224]) ).
fof(f245,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f246,plain,
( neq(sk4,nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f249,definition,
( spl0_2
<=> sk4 = app(cons(sk5,nil),sk6) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f251,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f252,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f221,f249,f245]) ).
fof(f254,definition,
( spl0_3
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f256,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f257,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f219,f254,f245]) ).
fof(f259,definition,
( spl0_4
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f261,plain,
( ssList(sk6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f262,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f217,f259,f245]) ).
fof(f264,definition,
( spl0_5
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f266,plain,
( ssItem(sk5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f267,plain,
( ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f216,f264,f245]) ).
fof(f269,definition,
( spl0_6
<=> neq(nil,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f271,plain,
( ~ neq(nil,sk4)
| spl0_6 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f273,definition,
( spl0_7
<=> sk4 = app(sk3,tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f275,plain,
( sk4 != app(sk3,tl(sk4))
| spl0_7 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f277,definition,
( spl0_8
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f279,plain,
( ~ ssList(tl(sk4))
| spl0_8 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f281,definition,
( spl0_9
<=> ssList(sk4) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f282,plain,
( ssList(sk4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f284,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f235,f281,f277,f273,f269,f245]) ).
fof(f290,plain,
spl0_1,
inference(avatar_split_clause,[],[f243,f245]) ).
fof(f291,plain,
spl0_9,
inference(avatar_split_clause,[],[f203,f281]) ).
fof(f292,plain,
( sk4 = app(sk3,sk6)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f251,f256]) ).
fof(f300,plain,
( sk6 = app(nil,sk6)
| ~ spl0_4 ),
inference(resolution,[],[f74,f261]) ).
fof(f315,plain,
( nil != sk3
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_3 ),
inference(superposition,[],[f99,f256]) ).
fof(f316,plain,
( nil != sk3
| ~ ssList(nil)
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f315,f266]) ).
fof(f317,plain,
( nil != sk3
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f316,f8]) ).
fof(f320,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sk5,X0)) = X0 )
| ~ spl0_5 ),
inference(resolution,[],[f96,f266]) ).
fof(f322,plain,
( nil = tl(cons(sk5,nil))
| ~ spl0_5 ),
inference(resolution,[],[f320,f8]) ).
fof(f329,plain,
( nil = tl(sk3)
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f322,f256]) ).
fof(f333,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| nil = sk4
| spl0_6 ),
inference(resolution,[],[f102,f271]) ).
fof(f338,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f333,f8]) ).
fof(f339,plain,
( nil = sk4
| spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f338,f282]) ).
fof(f342,plain,
( ~ neq(nil,nil)
| spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f271,f339]) ).
fof(f343,plain,
( neq(nil,nil)
| ~ spl0_1
| spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f246,f339]) ).
fof(f345,plain,
( $false
| ~ spl0_1
| spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f342,f343]) ).
fof(f346,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f345]) ).
fof(f369,definition,
( spl0_12
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f370,plain,
( nil != sk4
| spl0_12 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f371,plain,
( nil = sk4
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f398,plain,
( nil != sk4
| ~ ssList(sk6)
| ~ ssList(sk3)
| nil = sk3
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f122,f292]) ).
fof(f399,plain,
( ~ ssList(sk6)
| ~ ssList(sk3)
| nil = sk3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f398,f371]) ).
fof(f401,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f399,f261]) ).
fof(f403,plain,
( nil = sk3
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f401,f202]) ).
fof(f405,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f403,f317]) ).
fof(f406,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f435,plain,
! [X0] :
( ~ ssList(X0)
| nil = sk3
| tl(app(sk3,X0)) = app(tl(sk3),X0) ),
inference(resolution,[],[f144,f202]) ).
fof(f440,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sk3,X0)) = app(tl(sk3),X0) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f435,f317]) ).
fof(f442,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = tl(app(sk3,X0)) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f440,f329]) ).
fof(f716,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_8 ),
inference(resolution,[],[f279,f75]) ).
fof(f717,plain,
( nil = sk4
| spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f716,f282]) ).
fof(f718,plain,
( $false
| spl0_8
| ~ spl0_9
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f717,f370]) ).
fof(f719,plain,
( spl0_8
| ~ spl0_9
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f718]) ).
fof(f915,plain,
( app(nil,sk6) = tl(app(sk3,sk6))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f442,f261]) ).
fof(f916,plain,
( tl(sk4) = app(nil,sk6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f915,f292]) ).
fof(f922,plain,
( sk6 = tl(sk4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f916,f300]) ).
fof(f1025,plain,
( sk4 != app(sk3,sk6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_7 ),
inference(superposition,[],[f275,f922]) ).
fof(f1035,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f1025,f292]) ).
fof(f1036,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f1035]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f252]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f257]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f262]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f267]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f284]) ).
cnf(s11,plain,
spl0_1,
inference(sat_conversion,[],[f290]) ).
cnf(s12,plain,
spl0_9,
inference(sat_conversion,[],[f291]) ).
cnf(s14,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_9 ),
inference(sat_conversion,[],[f346]) ).
cnf(s19,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12 ),
inference(sat_conversion,[],[f406]) ).
cnf(s35,plain,
( spl0_8
| ~ spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f719]) ).
cnf(s43,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f1036]) ).
cnf(s44,plain,
spl0_6,
inference(rat,[],[s14,s12,s11]) ).
cnf(s45,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(rat,[],[s5,s12,s44,s11]) ).
cnf(s46,plain,
spl0_5,
inference(rat,[],[s4,s11]) ).
cnf(s47,plain,
spl0_4,
inference(rat,[],[s3,s11]) ).
cnf(s48,plain,
spl0_3,
inference(rat,[],[s2,s11]) ).
cnf(s51,plain,
spl0_2,
inference(rat,[],[s1,s11]) ).
cnf(s52,plain,
spl0_7,
inference(rat,[],[s43,s48,s46,s47,s51]) ).
cnf(s53,plain,
~ spl0_12,
inference(rat,[],[s19,s48,s46,s47,s51]) ).
cnf(s54,plain,
~ spl0_8,
inference(rat,[],[s45,s52]) ).
cnf(s57,plain,
$false,
inference(rat,[],[s35,s12,s53,s54]) ).
fof(f1037,plain,
$false,
inference(avatar_sat_refutation,[],[s57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC014-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n013.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 07:25:36 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.25/1.17 % (1000061)Input is clausal, will run a generic CNF schedule.
% 2.25/1.17 % (1000069)lrs+10_1_sil=8000:sp=occurrence:random_seed=3260787185:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.25/1.17 % (1000069)First to succeed.
% 2.25/1.17 % (1000069)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1000061"
% 2.25/1.17 % (1000068)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1274289676:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.25/1.17 % (1000066)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=2624750828:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.25/1.17 % (1000071)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=927411634:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.25/1.17 % (1000070)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=38470229:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.25/1.17 % (1000067)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3822189343:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.25/1.17 % (1000072)dis-21_1_sil=8000:lcm=predicate:random_seed=3609358346: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)
% 2.25/1.17 % (1000070)Also succeeded, but the first one will report.
% 2.25/1.17 % (1000071)Also succeeded, but the first one will report.
% 2.25/1.17 % (1000072)Instruction limit reached!
% 2.25/1.17 % (1000072)------------------------------
% 2.25/1.17 % (1000072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.25/1.17 % (1000072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/1.17 % (1000072)CaDiCaL version: 2.1.3
% 2.25/1.17 % (1000072)Termination reason: Instruction limit
% 2.25/1.17 % (1000072)Termination phase: Saturation
% 2.25/1.17 % (1000072)Time elapsed: 0.064 s
% 2.25/1.17 % (1000072)Peak memory usage: 89 MB
% 2.25/1.17 % (1000072)Instructions burned: 117 (million)
% 2.25/1.17 % (1000069)Refutation found. Thanks to Tanya!
% 2.25/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.25/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.68/1.36 % (1000069)------------------------------
% 2.68/1.36 % (1000069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/1.36 % (1000069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/1.36 % (1000069)CaDiCaL version: 2.1.3
% 2.68/1.36 % (1000069)Termination reason: Refutation
% 2.68/1.36 % (1000069)Time elapsed: 0.011 s
% 2.68/1.36 % (1000069)Peak memory usage: 90 MB
% 2.68/1.36 % (1000069)Instructions burned: 30 (million)
% 2.68/1.36 % (1000069)------------------------------
% 2.68/1.36 % (1000069)------------------------------
% 2.68/1.36 % (1000061)Success in time 0.299 s
% 2.68/1.36 % Vampire exiting
%------------------------------------------------------------------------------