%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC257-1 : 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 : n020.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 01:03:10 PM UTC 2026
% Result : Unsatisfiable 2.51s 1.12s
% Output : Refutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 12 unt; 4 def)
% Number of atoms : 65 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 59 ( 29 ~; 26 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f213,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f214,plain,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f213]) ).
fof(f219,plain,
~ totalorderedP(sk3),
inference(definition_unfolding,[],[f206,f205]) ).
fof(f244,definition,
( spl0_4
<=> ! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f245,plain,
( ! [X1] :
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f248,definition,
( spl0_5
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f249,plain,
( nil = sk3
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f259,definition,
( spl0_8
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f260,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f261,plain,
( spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f214,f259,f248]) ).
fof(f269,definition,
( spl0_10
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f270,plain,
( ssItem(sk5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f271,plain,
( spl0_5
| spl0_10 ),
inference(avatar_split_clause,[],[f208,f269,f248]) ).
fof(f273,plain,
( ~ totalorderedP(nil)
| ~ spl0_5 ),
inference(superposition,[],[f219,f249]) ).
fof(f276,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f4,f273]) ).
fof(f277,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f276]) ).
fof(f279,plain,
( ~ totalorderedP(cons(sk5,nil))
| ~ spl0_8 ),
inference(superposition,[],[f219,f260]) ).
fof(f289,plain,
spl0_4,
inference(avatar_split_clause,[],[f67,f244]) ).
fof(f290,plain,
( ~ ssItem(sk5)
| ~ spl0_4
| ~ spl0_8 ),
inference(resolution,[],[f245,f279]) ).
fof(f291,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f290,f270]) ).
fof(f292,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f291]) ).
cnf(s6,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f261]) ).
cnf(s10,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f271]) ).
cnf(s12,plain,
~ spl0_5,
inference(sat_conversion,[],[f277]) ).
cnf(s16,plain,
spl0_4,
inference(sat_conversion,[],[f289]) ).
cnf(s17,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f292]) ).
cnf(s18,plain,
spl0_10,
inference(rat,[],[s10,s12]) ).
cnf(s19,plain,
~ spl0_8,
inference(rat,[],[s17,s16,s18]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s6,s19,s12]) ).
fof(f293,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC257-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n020.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 08:46:13 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 2.51/1.12 % (38073)Input is clausal, will run a generic CNF schedule.
% 2.51/1.12 % (38082)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3189912431:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.51/1.12 % (38082)First to succeed.
% 2.51/1.12 % (38082)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-38073"
% 2.51/1.12 % (38078)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=396684477:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.51/1.12 % (38079)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1792411047:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.51/1.12 % (38080)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3726978419:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.51/1.12 % (38083)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=113215596:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.51/1.12 % (38081)lrs+10_1_sil=8000:sp=occurrence:random_seed=2483660255:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.51/1.12 % (38084)dis-21_1_sil=8000:lcm=predicate:random_seed=3294284260: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)
% 2.51/1.12 % (38081)Also succeeded, but the first one will report.
% 2.51/1.12 % (38083)Also succeeded, but the first one will report.
% 2.51/1.12 % (38084)Instruction limit reached!
% 2.51/1.12 % (38084)------------------------------
% 2.51/1.12 % (38084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.51/1.12 % (38084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/1.12 % (38084)CaDiCaL version: 2.1.3
% 2.51/1.12 % (38084)Termination reason: Instruction limit
% 2.51/1.12 % (38084)Termination phase: Saturation
% 2.51/1.12 % (38084)Time elapsed: 0.051 s
% 2.51/1.12 % (38084)Peak memory usage: 89 MB
% 2.51/1.12 % (38084)Instructions burned: 118 (million)
% 2.51/1.12 % (38082)Refutation found. Thanks to Tanya!
% 2.51/1.12 % SZS status Unsatisfiable for theBenchmark
% 2.51/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 2.51/1.12 % (38082)------------------------------
% 2.51/1.12 % (38082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.51/1.12 % (38082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/1.12 % (38082)CaDiCaL version: 2.1.3
% 2.51/1.12 % (38082)Termination reason: Refutation
% 2.51/1.12 % (38082)Time elapsed: 0.002 s
% 2.51/1.12 % (38082)Peak memory usage: 90 MB
% 2.51/1.12 % (38082)Instructions burned: 4 (million)
% 2.51/1.12 % (38082)------------------------------
% 2.51/1.12 % (38082)------------------------------
% 2.51/1.12 % (38073)Success in time 0.274 s
% 2.51/1.12 % Vampire exiting
%------------------------------------------------------------------------------