%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN153-1 : 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 : n009.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 01:49:47 PM UTC 2026
% Result : Unsatisfiable 2.49s 1.11s
% Output : Refutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 10 unt; 2 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 14 ~; 13 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f197,axiom,
! [X0] :
( p2(X0,X0,X0)
| ~ k1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_159) ).
fof(f278,axiom,
! [X2,X0,X1] :
( ~ p2(X1,X2,X0)
| n3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).
fof(f369,negated_conjecture,
~ n3(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f658,definition,
( spl0_71
<=> k1(a) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f659,plain,
( k1(a)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f660,plain,
( ~ k1(a)
| spl0_71 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f801,definition,
( spl0_106
<=> n3(a) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f803,plain,
( ~ n3(a)
| spl0_106 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f816,plain,
~ spl0_106,
inference(avatar_split_clause,[],[f369,f801]) ).
fof(f872,plain,
k1(a),
inference(resolution,[],[f39,f37]) ).
fof(f890,plain,
( $false
| spl0_71 ),
inference(forward_subsumption_resolution,[],[f872,f660]) ).
fof(f891,plain,
spl0_71,
inference(avatar_contradiction_clause,[],[f890]) ).
fof(f917,plain,
! [X0] :
( ~ k1(X0)
| n3(X0) ),
inference(resolution,[],[f278,f197]) ).
fof(f924,plain,
( n3(a)
| ~ spl0_71 ),
inference(resolution,[],[f917,f659]) ).
fof(f927,plain,
( $false
| ~ spl0_71
| spl0_106 ),
inference(forward_subsumption_resolution,[],[f924,f803]) ).
fof(f928,plain,
( ~ spl0_71
| spl0_106 ),
inference(avatar_contradiction_clause,[],[f927]) ).
cnf(s53,plain,
~ spl0_106,
inference(sat_conversion,[],[f816]) ).
cnf(s70,plain,
spl0_71,
inference(sat_conversion,[],[f891]) ).
cnf(s79,plain,
( ~ spl0_71
| spl0_106 ),
inference(sat_conversion,[],[f928]) ).
cnf(s80,plain,
spl0_106,
inference(rat,[],[s79,s70]) ).
cnf(s83,plain,
$false,
inference(rat,[],[s53,s80]) ).
fof(f929,plain,
$false,
inference(avatar_sat_refutation,[],[s83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN153-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n009.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 15:37:01 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.28 Running first-order theorem proving
% 0.09/0.28 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
% 2.49/1.11 % (3159894)Input is clausal, will run a generic CNF schedule.
% 2.49/1.11 % (3159950)lrs+10_1_sil=8000:sp=occurrence:random_seed=4121592843:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.49/1.11 % (3159950)First to succeed.
% 2.49/1.11 % (3159950)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3159894"
% 2.49/1.11 % (3159945)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=3099860841:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.49/1.11 % (3159947)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3548677889:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.49/1.11 % (3159952)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3674104800:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.49/1.11 % (3159953)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1389340607:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.49/1.11 % (3159948)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1040286428:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.49/1.11 % (3159955)dis-21_1_sil=8000:lcm=predicate:random_seed=3345192: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)
% 2.49/1.11 % (3159952)Also succeeded, but the first one will report.
% 2.49/1.11 % (3159953)Also succeeded, but the first one will report.
% 2.49/1.11 % (3159955)Also succeeded, but the first one will report.
% 2.49/1.11 % (3159950)Refutation found. Thanks to Tanya!
% 2.49/1.11 % SZS status Unsatisfiable for theBenchmark
% 2.49/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 2.49/1.11 % (3159950)------------------------------
% 2.49/1.11 % (3159950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.11 % (3159950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.11 % (3159950)CaDiCaL version: 2.1.3
% 2.49/1.11 % (3159950)Termination reason: Refutation
% 2.49/1.11 % (3159950)Time elapsed: 0.004 s
% 2.49/1.11 % (3159950)Peak memory usage: 89 MB
% 2.49/1.11 % (3159950)Instructions burned: 9 (million)
% 2.49/1.11 % (3159950)------------------------------
% 2.49/1.11 % (3159950)------------------------------
% 2.49/1.11 % (3159894)Success in time 0.272 s
% 2.49/1.11 % Vampire exiting
%------------------------------------------------------------------------------