%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN198-1 : 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 : 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 01:49:54 PM UTC 2026
% Result : Unsatisfiable 3.89s 1.57s
% Output : Refutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 11 unt; 3 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 16 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
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(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f728,definition,
( spl0_85
<=> ! [X2] : ~ s1(X2) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f729,plain,
( ! [X2] : ~ s1(X2)
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f731,definition,
( spl0_86
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f732,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f733,plain,
( spl0_85
| spl0_86 ),
inference(avatar_split_clause,[],[f164,f731,f728]) ).
fof(f739,definition,
( spl0_88
<=> s1(c) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f741,plain,
( ~ s1(c)
| spl0_88 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f759,plain,
~ spl0_88,
inference(avatar_split_clause,[],[f369,f739]) ).
fof(f885,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f886,plain,
( $false
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f885,f729]) ).
fof(f887,plain,
~ spl0_85,
inference(avatar_contradiction_clause,[],[f886]) ).
fof(f890,plain,
( ! [X0] : s1(X0)
| ~ spl0_86 ),
inference(resolution,[],[f732,f17]) ).
fof(f910,plain,
( $false
| ~ spl0_86
| spl0_88 ),
inference(resolution,[],[f890,f741]) ).
fof(f911,plain,
( ~ spl0_86
| spl0_88 ),
inference(avatar_contradiction_clause,[],[f910]) ).
cnf(s51,plain,
( spl0_85
| spl0_86 ),
inference(sat_conversion,[],[f733]) ).
cnf(s55,plain,
~ spl0_88,
inference(sat_conversion,[],[f759]) ).
cnf(s90,plain,
~ spl0_85,
inference(sat_conversion,[],[f887]) ).
cnf(s93,plain,
( ~ spl0_86
| spl0_88 ),
inference(sat_conversion,[],[f911]) ).
cnf(s97,plain,
~ spl0_86,
inference(rat,[],[s93,s55]) ).
cnf(s99,plain,
$false,
inference(rat,[],[s51,s97,s90]) ).
fof(f912,plain,
$false,
inference(avatar_sat_refutation,[],[s99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN198-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.30 % Computer : n018.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8046.5625MB
% 0.12/0.30 % OS : Linux 6.8.0-71-generic
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Mon Sep 28 15:40:25 UTC 2026
% 0.30/0.31 % CPUTime :
% 0.30/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.30/0.37 Running first-order theorem proving
% 0.30/0.37 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
% 3.89/1.57 % (3492507)Input is clausal, will run a generic CNF schedule.
% 3.89/1.57 % (3492590)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3150895603:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.89/1.57 % (3492588)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=571033705:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.89/1.57 % (3492591)lrs+10_1_sil=8000:sp=occurrence:random_seed=1255649857:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.89/1.57 % (3492597)dis-21_1_sil=8000:lcm=predicate:random_seed=4113495695: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)
% 3.89/1.57 % (3492593)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1351395300:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.89/1.57 % (3492595)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2299885907:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.89/1.57 % (3492589)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3375797356:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.89/1.57 % (3492591)First to succeed.
% 3.89/1.57 % (3492591)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3492507"
% 3.89/1.57 % (3492593)Also succeeded, but the first one will report.
% 3.89/1.57 % (3492595)Also succeeded, but the first one will report.
% 3.89/1.57 % (3492597)Also succeeded, but the first one will report.
% 3.89/1.57 % (3492591)Refutation found. Thanks to Tanya!
% 3.89/1.57 % SZS status Unsatisfiable for theBenchmark
% 3.89/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 3.89/1.57 % (3492591)------------------------------
% 3.89/1.57 % (3492591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.57 % (3492591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.57 % (3492591)CaDiCaL version: 2.1.3
% 3.89/1.57 % (3492591)Termination reason: Refutation
% 3.89/1.57 % (3492591)Time elapsed: 0.008 s
% 3.89/1.57 % (3492591)Peak memory usage: 89 MB
% 3.89/1.57 % (3492591)Instructions burned: 10 (million)
% 3.89/1.57 % (3492591)------------------------------
% 3.89/1.57 % (3492591)------------------------------
% 3.89/1.57 % (3492507)Success in time 0.432 s
% 3.89/1.57 % Vampire exiting
%------------------------------------------------------------------------------