%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN284-1 : 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 : n008.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 02:07:12 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.26s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 12 unt; 2 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
fof(f130,axiom,
! [X2,X3,X0,X1] :
( q1(X0,X1,X0)
| ~ n0(X2,X1)
| ~ p0(X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_092) ).
fof(f369,negated_conjecture,
~ q1(a,c,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f376,plain,
! [X0] : ~ p0(b,X0),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f385,plain,
~ n0(d,c),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f473,plain,
! [X2,X3,X0,X1] :
( ~ q1(X0,X1,X0)
| n0(X2,X1)
| p0(X3,X0) ),
inference(consistent_polarity_flipping,[],[f130]) ).
fof(f688,plain,
q1(a,c,a),
inference(consistent_polarity_flipping,[],[f369]) ).
fof(f2457,definition,
( spl0_304
<=> ! [X0] : n0(X0,c) ),
introduced(definition,[new_symbols(definition,[spl0_304])],[avatar_definition]) ).
fof(f2458,plain,
( ! [X0] : n0(X0,c)
| ~ spl0_304 ),
inference(avatar_component_clause,[],[f2457]) ).
fof(f2693,plain,
! [X0,X1] :
( n0(X0,c)
| p0(X1,a) ),
inference(resolution,[],[f473,f688]) ).
fof(f2705,definition,
( spl0_319
<=> ! [X1] : p0(X1,a) ),
introduced(definition,[new_symbols(definition,[spl0_319])],[avatar_definition]) ).
fof(f2706,plain,
( ! [X1] : p0(X1,a)
| ~ spl0_319 ),
inference(avatar_component_clause,[],[f2705]) ).
fof(f2707,plain,
( spl0_319
| spl0_304 ),
inference(avatar_split_clause,[],[f2693,f2457,f2705]) ).
fof(f2733,plain,
( $false
| ~ spl0_304 ),
inference(backward_subsumption_resolution,[],[f385,f2458]) ).
fof(f2734,plain,
~ spl0_304,
inference(avatar_contradiction_clause,[],[f2733]) ).
fof(f2785,plain,
( $false
| ~ spl0_319 ),
inference(resolution,[],[f2706,f376]) ).
fof(f2786,plain,
~ spl0_319,
inference(avatar_contradiction_clause,[],[f2785]) ).
cnf(s337,plain,
( spl0_304
| spl0_319 ),
inference(sat_conversion,[],[f2707]) ).
cnf(s338,plain,
~ spl0_304,
inference(sat_conversion,[],[f2734]) ).
cnf(s343,plain,
~ spl0_319,
inference(sat_conversion,[],[f2786]) ).
cnf(s344,plain,
$false,
inference(rat,[],[s337,s343,s338]) ).
fof(f2787,plain,
$false,
inference(avatar_sat_refutation,[],[s344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN284-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n008.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:41:24 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.19/0.26 % (2358048)Will run a generic schedule for satisfiability detection.
% 0.19/0.26 % (2358054)% WARNING: option uhcvi not known.
% 0.19/0.26 % (2358054)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3148183994:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.26 % (2358053)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3747962133_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.26 % (2358055)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1238445309:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.26 % (2358057)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3125474762:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.26 % (2358056)dis+10_1_sil=32000:sp=arity:random_seed=3193474645:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.26 % (2358054) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2358048-2358054"...
% 0.19/0.26 % (2358054)...printing done.
% 0.19/0.26 % (2358054)Refutation found. Thanks to Tanya!
% 0.19/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.26 % (2358054)------------------------------
% 0.19/0.26 % (2358054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.26 % (2358054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.26 % (2358054)CaDiCaL version: 2.1.3
% 0.19/0.26 % (2358054)Termination reason: Refutation
% 0.19/0.26 % (2358054)Time elapsed: 0.015 s
% 0.19/0.26 % (2358054)Peak memory usage: 13 MB
% 0.19/0.26 % (2358054)Instructions burned: 38 (million)
% 0.19/0.26 % (2358048)Success in time 0.046 s
% 0.19/0.26 % Vampire exiting
%------------------------------------------------------------------------------