%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC254-1 : 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 : n012.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 01:03:09 PM UTC 2026
% Result : Unsatisfiable 2.38s 0.74s
% Output : Refutation 2.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 11 unt; 4 def)
% Number of atoms : 79 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 77 ( 37 ~; 36 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f119,axiom,
! [X0,X1] :
( cons(X0,nil) != X1
| ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
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,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f217,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f218,plain,
( sk3 = cons(sk5,nil)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f217]) ).
fof(f221,negated_conjecture,
( ~ singletonP(sk1)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f224,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f231,plain,
( ~ singletonP(sk3)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f221,f205]) ).
fof(f236,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f119]) ).
fof(f240,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f224]) ).
fof(f249,definition,
( spl0_3
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f252,definition,
( spl0_4
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f253,plain,
( ~ singletonP(sk3)
| spl0_4 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f254,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f231,f252,f249]) ).
fof(f260,definition,
( spl0_6
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f261,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f218,f260,f249]) ).
fof(f268,definition,
( spl0_8
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f269,plain,
( ssItem(sk5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f270,plain,
( ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f215,f268,f249]) ).
fof(f277,plain,
spl0_3,
inference(avatar_split_clause,[],[f240,f249]) ).
fof(f302,plain,
( singletonP(sk3)
| ~ ssList(sk3)
| ~ ssItem(sk5)
| ~ spl0_6 ),
inference(superposition,[],[f236,f261]) ).
fof(f303,plain,
( ~ ssList(sk3)
| ~ ssItem(sk5)
| spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f302,f253]) ).
fof(f304,plain,
( ~ ssItem(sk5)
| spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f303,f202]) ).
fof(f305,plain,
( $false
| spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f304,f269]) ).
fof(f306,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f305]) ).
cnf(s2,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f254]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f262]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f270]) ).
cnf(s12,plain,
spl0_3,
inference(sat_conversion,[],[f277]) ).
cnf(s14,plain,
( spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f306]) ).
cnf(s15,plain,
spl0_8,
inference(rat,[],[s6,s12]) ).
cnf(s17,plain,
spl0_6,
inference(rat,[],[s4,s12]) ).
cnf(s18,plain,
spl0_4,
inference(rat,[],[s14,s15,s17]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s2,s18,s12]) ).
fof(f307,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC254-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 08:42:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.13 Running first-order theorem proving
% 0.08/0.13 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
% 2.38/0.74 % (3239161)Input is clausal, will run a generic CNF schedule.
% 2.38/0.74 % (3239168)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1033079868:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.38/0.74 % (3239171)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3243298090:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.38/0.74 % (3239172)dis-21_1_sil=8000:lcm=predicate:random_seed=178584151: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)
% 2.38/0.74 % (3239169)lrs+10_1_sil=8000:sp=occurrence:random_seed=2337528837:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.38/0.74 % (3239166)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=4241322067:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.38/0.74 % (3239170)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1132392514:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.38/0.74 % (3239167)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1844022879:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.38/0.74 % (3239169)Also succeeded, but the first one will report.
% 2.38/0.74 % (3239170)First to succeed.
% 2.38/0.74 % (3239170)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3239161"
% 2.38/0.74 % (3239171)Also succeeded, but the first one will report.
% 2.38/0.74 % (3239172)Instruction limit reached!
% 2.38/0.74 % (3239172)------------------------------
% 2.38/0.74 % (3239172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.38/0.74 % (3239172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.74 % (3239172)CaDiCaL version: 2.1.3
% 2.38/0.74 % (3239172)Termination reason: Instruction limit
% 2.38/0.74 % (3239172)Termination phase: Saturation
% 2.38/0.74 % (3239172)Time elapsed: 0.031 s
% 2.38/0.74 % (3239172)Peak memory usage: 89 MB
% 2.38/0.74 % (3239172)Instructions burned: 118 (million)
% 2.38/0.74 % (3239170)Refutation found. Thanks to Tanya!
% 2.38/0.74 % SZS status Unsatisfiable for theBenchmark
% 2.38/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.38/0.74 % (3239170)------------------------------
% 2.38/0.74 % (3239170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.38/0.74 % (3239170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.74 % (3239170)CaDiCaL version: 2.1.3
% 2.38/0.74 % (3239170)Termination reason: Refutation
% 2.38/0.74 % (3239170)Time elapsed: 0.002 s
% 2.38/0.74 % (3239170)Peak memory usage: 89 MB
% 2.38/0.74 % (3239170)Instructions burned: 3 (million)
% 2.38/0.74 % (3239170)------------------------------
% 2.38/0.74 % (3239170)------------------------------
% 2.38/0.74 % (3239161)Success in time 0.313 s
% 2.38/0.74 % Vampire exiting
%------------------------------------------------------------------------------