%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN196-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 01:49:53 PM UTC 2026
% Result : Unsatisfiable 2.74s 1.16s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 11 unt; 4 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 29 ~; 20 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).
fof(f369,negated_conjecture,
~ s1(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f484,definition,
( spl0_34
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f485,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f1118,definition,
( spl0_213
<=> ! [X2] : ~ p0(X2,X2) ),
introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).
fof(f1119,plain,
( ! [X2] : ~ p0(X2,X2)
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f1118]) ).
fof(f1283,definition,
( spl0_258
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_258])],[avatar_definition]) ).
fof(f1284,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_258 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f1285,plain,
( spl0_34
| spl0_258 ),
inference(avatar_split_clause,[],[f164,f1283,f484]) ).
fof(f1315,definition,
( spl0_267
<=> s1(a) ),
introduced(definition,[new_symbols(definition,[spl0_267])],[avatar_definition]) ).
fof(f1316,plain,
( ~ s1(a)
| spl0_267 ),
inference(avatar_component_clause,[],[f1315]) ).
fof(f1389,plain,
~ spl0_267,
inference(avatar_split_clause,[],[f369,f1315]) ).
fof(f1424,plain,
( $false
| ~ spl0_213 ),
inference(resolution,[],[f1119,f14]) ).
fof(f1425,plain,
~ spl0_213,
inference(avatar_contradiction_clause,[],[f1424]) ).
fof(f1501,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f163,f485]) ).
fof(f1502,plain,
( spl0_213
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f1501,f484,f1118]) ).
fof(f1514,plain,
( s1(a)
| ~ spl0_258 ),
inference(resolution,[],[f1284,f36]) ).
fof(f1517,plain,
( $false
| ~ spl0_258
| spl0_267 ),
inference(forward_subsumption_resolution,[],[f1514,f1316]) ).
fof(f1518,plain,
( ~ spl0_258
| spl0_267 ),
inference(avatar_contradiction_clause,[],[f1517]) ).
cnf(s137,plain,
( spl0_34
| spl0_258 ),
inference(sat_conversion,[],[f1285]) ).
cnf(s153,plain,
~ spl0_267,
inference(sat_conversion,[],[f1389]) ).
cnf(s171,plain,
~ spl0_213,
inference(sat_conversion,[],[f1425]) ).
cnf(s205,plain,
( ~ spl0_34
| spl0_213 ),
inference(sat_conversion,[],[f1502]) ).
cnf(s207,plain,
( ~ spl0_258
| spl0_267 ),
inference(sat_conversion,[],[f1518]) ).
cnf(s208,plain,
~ spl0_34,
inference(rat,[],[s205,s171]) ).
cnf(s209,plain,
~ spl0_258,
inference(rat,[],[s207,s153]) ).
cnf(s216,plain,
$false,
inference(rat,[],[s137,s209,s208]) ).
fof(f1519,plain,
$false,
inference(avatar_sat_refutation,[],[s216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN196-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n008.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 15:38:54 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 2.74/1.16 % (2352099)Input is clausal, will run a generic CNF schedule.
% 2.74/1.16 % (2352225)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3114956816:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.74/1.16 % (2352225)First to succeed.
% 2.74/1.16 % (2352225)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2352099"
% 2.74/1.16 % (2352221)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=3266021603:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.74/1.16 % (2352223)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2203487355:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.74/1.16 % (2352222)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3128433879:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.74/1.16 % (2352224)lrs+10_1_sil=8000:sp=occurrence:random_seed=717398532:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.74/1.16 % (2352224)Also succeeded, but the first one will report.
% 2.74/1.16 % (2352227)dis-21_1_sil=8000:lcm=predicate:random_seed=3321097687: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)
% 2.74/1.16 % (2352226)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3731682872:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.74/1.16 % (2352226)Also succeeded, but the first one will report.
% 2.74/1.16 % (2352227)Also succeeded, but the first one will report.
% 2.74/1.16 % (2352225)Refutation found. Thanks to Tanya!
% 2.74/1.16 % SZS status Unsatisfiable for theBenchmark
% 2.74/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.74/1.16 % (2352225)------------------------------
% 2.74/1.16 % (2352225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.16 % (2352225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.16 % (2352225)CaDiCaL version: 2.1.3
% 2.74/1.16 % (2352225)Termination reason: Refutation
% 2.74/1.16 % (2352225)Time elapsed: 0.006 s
% 2.74/1.16 % (2352225)Peak memory usage: 90 MB
% 2.74/1.16 % (2352225)Instructions burned: 16 (million)
% 2.74/1.16 % (2352225)------------------------------
% 2.74/1.16 % (2352225)------------------------------
% 2.74/1.16 % (2352099)Success in time 0.294 s
% 2.74/1.16 % Vampire exiting
%------------------------------------------------------------------------------