%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN200-1 : 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 : 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 01:49:54 PM UTC 2026
% Result : Unsatisfiable 2.32s 0.92s
% Output : Refutation 2.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 10 unt; 2 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 12 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
q0(e,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
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(e),
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(f882,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f883,plain,
( $false
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f882,f729]) ).
fof(f884,plain,
~ spl0_85,
inference(avatar_contradiction_clause,[],[f883]) ).
fof(f890,plain,
( s1(e)
| ~ spl0_86 ),
inference(resolution,[],[f732,f2]) ).
fof(f894,plain,
( $false
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f890,f369]) ).
fof(f895,plain,
~ spl0_86,
inference(avatar_contradiction_clause,[],[f894]) ).
cnf(s51,plain,
( spl0_85
| spl0_86 ),
inference(sat_conversion,[],[f733]) ).
cnf(s88,plain,
~ spl0_85,
inference(sat_conversion,[],[f884]) ).
cnf(s89,plain,
~ spl0_86,
inference(sat_conversion,[],[f895]) ).
cnf(s93,plain,
$false,
inference(rat,[],[s51,s89,s88]) ).
fof(f896,plain,
$false,
inference(avatar_sat_refutation,[],[s93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN200-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n012.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 15:38:04 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
% 2.32/0.92 % (3461437)Input is clausal, will run a generic CNF schedule.
% 2.32/0.92 % (3461462)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4026329920:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.32/0.92 % (3461459)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=1422322543:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.32/0.92 % (3461463)lrs+10_1_sil=8000:sp=occurrence:random_seed=1367758624:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.32/0.92 % (3461461)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2934549374:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.32/0.92 % (3461463)First to succeed.
% 2.32/0.92 % (3461463)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3461437"
% 2.32/0.92 % (3461467)dis-21_1_sil=8000:lcm=predicate:random_seed=1463069082: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)
% 2.32/0.92 % (3461466)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=371152949:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.32/0.92 % (3461464)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1721649320:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.32/0.92 % (3461466)Also succeeded, but the first one will report.
% 2.32/0.92 % (3461464)Also succeeded, but the first one will report.
% 2.32/0.92 % (3461467)Also succeeded, but the first one will report.
% 2.32/0.92 % (3461463)Refutation found. Thanks to Tanya!
% 2.32/0.92 % SZS status Unsatisfiable for theBenchmark
% 2.32/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 2.32/0.92 % (3461463)------------------------------
% 2.32/0.92 % (3461463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/0.92 % (3461463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.92 % (3461463)CaDiCaL version: 2.1.3
% 2.32/0.92 % (3461463)Termination reason: Refutation
% 2.32/0.92 % (3461463)Time elapsed: 0.004 s
% 2.32/0.92 % (3461463)Peak memory usage: 89 MB
% 2.32/0.92 % (3461463)Instructions burned: 9 (million)
% 2.32/0.92 % (3461463)------------------------------
% 2.32/0.92 % (3461463)------------------------------
% 2.32/0.92 % (3461437)Success in time 0.271 s
% 2.32/0.92 % Vampire exiting
%------------------------------------------------------------------------------