%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN168-1 : 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 : n011.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 02:06:55 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.29s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 12 unt; 4 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 21 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
fof(f29,axiom,
q0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_29) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f168,axiom,
( k2(e,e)
| ~ l1(e,e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_130) ).
fof(f290,axiom,
! [X2,X0,X1] :
( p3(X0,X0,X0)
| ~ q0(X1,X0)
| ~ k2(X2,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_252) ).
fof(f369,negated_conjecture,
! [X0,X1] : ~ p3(X0,X1,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f559,definition,
( spl0_49
<=> ! [X2] : ~ k2(X2,X2) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f560,plain,
( ! [X2] : ~ k2(X2,X2)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f562,definition,
( spl0_50
<=> ! [X0,X1] :
( p3(X0,X0,X0)
| ~ q0(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f563,plain,
( ! [X0,X1] :
( p3(X0,X0,X0)
| ~ q0(X1,X0) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f564,plain,
( spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f290,f562,f559]) ).
fof(f1005,definition,
( spl0_161
<=> l1(e,e) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f1007,plain,
( ~ l1(e,e)
| spl0_161 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f1009,definition,
( spl0_162
<=> k2(e,e) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f1011,plain,
( k2(e,e)
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1012,plain,
( ~ spl0_161
| spl0_162 ),
inference(avatar_split_clause,[],[f168,f1009,f1005]) ).
fof(f1391,plain,
l1(e,e),
inference(resolution,[],[f40,f3]) ).
fof(f1419,plain,
( $false
| spl0_161 ),
inference(forward_subsumption_resolution,[],[f1391,f1007]) ).
fof(f1420,plain,
spl0_161,
inference(avatar_contradiction_clause,[],[f1419]) ).
fof(f1421,plain,
( $false
| ~ spl0_49
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f1011,f560]) ).
fof(f1422,plain,
( ~ spl0_49
| ~ spl0_162 ),
inference(avatar_contradiction_clause,[],[f1421]) ).
fof(f1579,plain,
( ! [X0] : ~ q0(X0,b)
| ~ spl0_50 ),
inference(resolution,[],[f563,f369]) ).
fof(f1580,plain,
( $false
| ~ spl0_50 ),
inference(resolution,[],[f1579,f29]) ).
fof(f1585,plain,
~ spl0_50,
inference(avatar_contradiction_clause,[],[f1580]) ).
cnf(s21,plain,
( spl0_49
| spl0_50 ),
inference(sat_conversion,[],[f564]) ).
cnf(s75,plain,
( ~ spl0_161
| spl0_162 ),
inference(sat_conversion,[],[f1012]) ).
cnf(s186,plain,
spl0_161,
inference(sat_conversion,[],[f1420]) ).
cnf(s187,plain,
( ~ spl0_49
| ~ spl0_162 ),
inference(sat_conversion,[],[f1422]) ).
cnf(s207,plain,
~ spl0_50,
inference(sat_conversion,[],[f1585]) ).
cnf(s264,plain,
spl0_162,
inference(rat,[],[s75,s186]) ).
cnf(s265,plain,
~ spl0_49,
inference(rat,[],[s187,s264]) ).
cnf(s302,plain,
$false,
inference(rat,[],[s21,s207,s265]) ).
fof(f1586,plain,
$false,
inference(avatar_sat_refutation,[],[s302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN168-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n011.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:37:31 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.29 % (3475848)Will run a generic schedule for satisfiability detection.
% 0.08/0.29 % (3475858)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3942588580:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.29 % (3475855)% WARNING: option uhcvi not known.
% 0.08/0.29 % (3475856)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1270174605:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.29 % (3475855)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2909636866:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.29 % (3475854)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1997359094_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.29 % (3475858) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3475848-3475858"...
% 0.08/0.29 % (3475858)...printing done.
% 0.08/0.29 % (3475857)dis+10_1_sil=32000:sp=arity:random_seed=2583537595:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.29 % (3475858)Refutation found. Thanks to Tanya!
% 0.08/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.29 % (3475858)------------------------------
% 0.08/0.29 % (3475858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.29 % (3475858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.29 % (3475858)CaDiCaL version: 2.1.3
% 0.08/0.29 % (3475858)Termination reason: Refutation
% 0.08/0.29 % (3475858)Time elapsed: 0.013 s
% 0.08/0.29 % (3475858)Peak memory usage: 13 MB
% 0.08/0.29 % (3475858)Instructions burned: 36 (million)
% 0.08/0.29 % (3475848)Success in time 0.056 s
% 0.08/0.29 % Vampire exiting
%------------------------------------------------------------------------------