%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN251-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 02:07:07 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.30s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 10 unt; 3 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 21 ~; 15 |; 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; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f31,axiom,
m0(b,b,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_31) ).
fof(f53,axiom,
! [X2,X0,X1] :
( m1(X0,X1,X1)
| ~ l0(X2)
| ~ m0(X1,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_015) ).
fof(f369,negated_conjecture,
~ m1(e,b,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f1155,definition,
( spl0_134
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f1156,plain,
( l0(c)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f1494,definition,
( spl0_218
<=> ! [X1] : ~ l0(X1) ),
introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).
fof(f1495,plain,
( ! [X1] : ~ l0(X1)
| ~ spl0_218 ),
inference(avatar_component_clause,[],[f1494]) ).
fof(f1778,definition,
( spl0_286
<=> ! [X0,X1] :
( m1(X0,X1,X1)
| ~ m0(X1,X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_286])],[avatar_definition]) ).
fof(f1779,plain,
( ! [X0,X1] :
( ~ m0(X1,X1,X0)
| m1(X0,X1,X1) )
| ~ spl0_286 ),
inference(avatar_component_clause,[],[f1778]) ).
fof(f1780,plain,
( spl0_218
| spl0_286 ),
inference(avatar_split_clause,[],[f53,f1778,f1494]) ).
fof(f1813,plain,
spl0_134,
inference(avatar_split_clause,[],[f24,f1155]) ).
fof(f1834,plain,
( $false
| ~ spl0_134
| ~ spl0_218 ),
inference(backward_subsumption_resolution,[],[f1156,f1495]) ).
fof(f1835,plain,
( ~ spl0_134
| ~ spl0_218 ),
inference(avatar_contradiction_clause,[],[f1834]) ).
fof(f2414,plain,
( m1(e,b,b)
| ~ spl0_286 ),
inference(resolution,[],[f1779,f31]) ).
fof(f2415,plain,
( $false
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f2414,f369]) ).
fof(f2416,plain,
~ spl0_286,
inference(avatar_contradiction_clause,[],[f2415]) ).
cnf(s147,plain,
( spl0_218
| spl0_286 ),
inference(sat_conversion,[],[f1780]) ).
cnf(s158,plain,
spl0_134,
inference(sat_conversion,[],[f1813]) ).
cnf(s174,plain,
( ~ spl0_134
| ~ spl0_218 ),
inference(sat_conversion,[],[f1835]) ).
cnf(s315,plain,
~ spl0_286,
inference(sat_conversion,[],[f2416]) ).
cnf(s326,plain,
~ spl0_218,
inference(rat,[],[s174,s158]) ).
cnf(s332,plain,
$false,
inference(rat,[],[s147,s315,s326]) ).
fof(f2417,plain,
$false,
inference(avatar_sat_refutation,[],[s332]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN251-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n005.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 15:39:02 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.30 % (885028)Will run a generic schedule for satisfiability detection.
% 0.20/0.30 % (885042)% WARNING: option uhcvi not known.
% 0.20/0.30 % (885042)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1902839628:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.30 % (885044)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2830858713:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.30 % (885042) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-885028-885042"...
% 0.20/0.30 % (885042)...printing done.
% 0.20/0.30 % (885042)Refutation found. Thanks to Tanya!
% 0.20/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.30 % (885042)------------------------------
% 0.20/0.30 % (885042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (885042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (885042)CaDiCaL version: 2.1.3
% 0.20/0.30 % (885042)Termination reason: Refutation
% 0.20/0.30 % (885042)Time elapsed: 0.011 s
% 0.20/0.30 % (885042)Peak memory usage: 13 MB
% 0.20/0.30 % (885042)Instructions burned: 28 (million)
% 0.20/0.30 % (885028)Success in time 0.054 s
% 0.20/0.30 % Vampire exiting
%------------------------------------------------------------------------------