%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC255-1 : 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 : n006.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 3.64s 1.30s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 8 unt; 2 def)
% Number of atoms : 30 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f210,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( ~ singletonP(sk1)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f218,plain,
( ~ singletonP(sk3)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f211,f205]) ).
fof(f224,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f233,definition,
( spl0_3
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f236,definition,
( spl0_4
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f238,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f218,f236,f233]) ).
fof(f240,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f210,f236,f233]) ).
fof(f244,plain,
spl0_3,
inference(avatar_split_clause,[],[f224,f233]) ).
cnf(s2,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f238]) ).
cnf(s3,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f240]) ).
cnf(s6,plain,
spl0_3,
inference(sat_conversion,[],[f244]) ).
cnf(s7,plain,
spl0_4,
inference(rat,[],[s3,s6]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s2,s7,s6]) ).
fof(f245,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC255-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n006.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 08:44:16 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.64/1.30 % (3822898)Input is clausal, will run a generic CNF schedule.
% 3.64/1.30 % (3822905)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2548670923:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.64/1.30 % (3822906)lrs+10_1_sil=8000:sp=occurrence:random_seed=523418277:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.64/1.30 % (3822904)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=224136916:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.64/1.30 % (3822907)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=876642155:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.64/1.30 % (3822903)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=3445990879:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.64/1.30 % (3822909)dis-21_1_sil=8000:lcm=predicate:random_seed=3699544177: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)
% 3.64/1.30 % (3822906)Also succeeded, but the first one will report.
% 3.64/1.30 % (3822907)First to succeed.
% 3.64/1.30 % (3822907)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3822898"
% 3.64/1.30 % (3822909)Also succeeded, but the first one will report.
% 3.64/1.30 % (3822908)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=529844153:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.64/1.30 % (3822908)Also succeeded, but the first one will report.
% 3.64/1.30 % (3822907)Refutation found. Thanks to Tanya!
% 3.64/1.30 % SZS status Unsatisfiable for theBenchmark
% 3.64/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.30 % (3822907)------------------------------
% 3.64/1.30 % (3822907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.30 % (3822907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.30 % (3822907)CaDiCaL version: 2.1.3
% 3.64/1.30 % (3822907)Termination reason: Refutation
% 3.64/1.30 % (3822907)Time elapsed: 0.002 s
% 3.64/1.30 % (3822907)Peak memory usage: 89 MB
% 3.64/1.30 % (3822907)Instructions burned: 1 (million)
% 3.64/1.30 % (3822907)------------------------------
% 3.64/1.30 % (3822907)------------------------------
% 3.64/1.30 % (3822898)Success in time 0.436 s
% 3.64/1.30 % Vampire exiting
%------------------------------------------------------------------------------