%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC259-1 : 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 : n018.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 01:03:11 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.90s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 12 unt; 4 def)
% Number of atoms : 67 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 62 ( 30 ~; 28 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f219,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f220,plain,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f219]) ).
fof(f256,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f258,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f273,definition,
( spl0_5
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f275,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f276,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f220,f273,f256]) ).
fof(f298,definition,
( spl0_9
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f300,plain,
( ssItem(sk5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f301,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f208,f298,f256]) ).
fof(f313,definition,
( spl0_12
<=> ! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f314,plain,
( ! [X1] :
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f342,plain,
spl0_12,
inference(avatar_split_clause,[],[f67,f313]) ).
fof(f346,plain,
~ totalorderedP(sk3),
inference(superposition,[],[f206,f205]) ).
fof(f374,plain,
( totalorderedP(sk3)
| ~ ssItem(sk5)
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f314,f275]) ).
fof(f375,plain,
( ~ ssItem(sk5)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f374,f346]) ).
fof(f376,plain,
( $false
| ~ spl0_5
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f375,f300]) ).
fof(f377,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f376]) ).
fof(f380,plain,
( ~ totalorderedP(nil)
| ~ spl0_1 ),
inference(superposition,[],[f346,f258]) ).
fof(f381,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f380,f4]) ).
fof(f382,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f381]) ).
cnf(s4,plain,
( spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f276]) ).
cnf(s13,plain,
( spl0_1
| spl0_9 ),
inference(sat_conversion,[],[f301]) ).
cnf(s22,plain,
spl0_12,
inference(sat_conversion,[],[f342]) ).
cnf(s26,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_12 ),
inference(sat_conversion,[],[f377]) ).
cnf(s27,plain,
~ spl0_1,
inference(sat_conversion,[],[f382]) ).
cnf(s32,plain,
spl0_9,
inference(rat,[],[s13,s27]) ).
cnf(s33,plain,
~ spl0_5,
inference(rat,[],[s26,s22,s32]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s4,s33,s27]) ).
fof(f383,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC259-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n018.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 08:47:33 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 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
% 0.18/0.90 % (3234672)Input is clausal, will run a generic CNF schedule.
% 0.18/0.90 % (3234682)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1507339706:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.18/0.90 % (3234682)First to succeed.
% 0.18/0.90 % (3234682)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3234672"
% 0.18/0.90 % (3234683)dis-21_1_sil=8000:lcm=predicate:random_seed=1940399318: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)
% 0.18/0.90 % (3234679)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2169007348:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.18/0.90 % (3234680)lrs+10_1_sil=8000:sp=occurrence:random_seed=1904130299:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.18/0.90 % (3234678)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1107371153:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.18/0.90 % (3234677)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=1890029300:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.18/0.90 % (3234681)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2752231776:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.18/0.90 % (3234681)Also succeeded, but the first one will report.
% 0.18/0.90 % (3234680)Also succeeded, but the first one will report.
% 0.18/0.90 % (3234683)Instruction limit reached!
% 0.18/0.90 % (3234683)------------------------------
% 0.18/0.90 % (3234683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/0.90 % (3234683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.90 % (3234683)CaDiCaL version: 2.1.3
% 0.18/0.90 % (3234683)Termination reason: Instruction limit
% 0.18/0.90 % (3234683)Termination phase: Saturation
% 0.18/0.90 % (3234683)Time elapsed: 0.052 s
% 0.18/0.90 % (3234683)Peak memory usage: 89 MB
% 0.18/0.90 % (3234683)Instructions burned: 119 (million)
% 0.18/0.90 % (3234682)Refutation found. Thanks to Tanya!
% 0.18/0.90 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.90 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.90 % (3234682)------------------------------
% 0.18/0.90 % (3234682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/0.90 % (3234682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.90 % (3234682)CaDiCaL version: 2.1.3
% 0.18/0.90 % (3234682)Termination reason: Refutation
% 0.18/0.90 % (3234682)Time elapsed: 0.004 s
% 0.18/0.90 % (3234682)Peak memory usage: 90 MB
% 0.18/0.90 % (3234682)Instructions burned: 9 (million)
% 0.18/0.90 % (3234682)------------------------------
% 0.18/0.90 % (3234682)------------------------------
% 0.18/0.90 % (3234672)Success in time 0.312 s
% 0.18/0.90 % Vampire exiting
%------------------------------------------------------------------------------