%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN248-1 : 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 : 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 02:07:07 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.17s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 15 unt; 3 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 22 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f72,axiom,
! [X0,X1] :
( m1(X0,X1,X1)
| ~ k1(a)
| ~ k1(X1)
| ~ q0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_034) ).
fof(f369,negated_conjecture,
~ m1(d,c,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f378,plain,
! [X0] : ~ q0(X0,d),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f426,plain,
! [X0,X1] :
( ~ m1(X0,X1,X1)
| ~ k1(a)
| ~ k1(X1)
| q0(X0,X0) ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f689,plain,
m1(d,c,c),
inference(consistent_polarity_flipping,[],[f369]) ).
fof(f1436,definition,
( spl0_188
<=> k1(c) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
fof(f1437,plain,
( k1(c)
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f1768,definition,
( spl0_268
<=> k1(a) ),
introduced(definition,[new_symbols(definition,[spl0_268])],[avatar_definition]) ).
fof(f1772,definition,
( spl0_269
<=> ! [X0,X1] :
( ~ m1(X0,X1,X1)
| q0(X0,X0)
| ~ k1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).
fof(f1773,plain,
( ! [X0,X1] :
( ~ m1(X0,X1,X1)
| q0(X0,X0)
| ~ k1(X1) )
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f1772]) ).
fof(f1774,plain,
( ~ spl0_268
| spl0_269 ),
inference(avatar_split_clause,[],[f426,f1772,f1768]) ).
fof(f1948,plain,
k1(c),
inference(resolution,[],[f39,f26]) ).
fof(f1952,plain,
k1(a),
inference(resolution,[],[f39,f37]) ).
fof(f1963,plain,
spl0_188,
inference(avatar_split_clause,[],[f1948,f1436]) ).
fof(f1970,plain,
spl0_268,
inference(avatar_split_clause,[],[f1952,f1768]) ).
fof(f2568,plain,
( q0(d,d)
| ~ k1(c)
| ~ spl0_269 ),
inference(resolution,[],[f1773,f689]) ).
fof(f2573,plain,
( ~ k1(c)
| ~ spl0_269 ),
inference(forward_subsumption_resolution,[],[f2568,f378]) ).
fof(f2576,plain,
( $false
| ~ spl0_188
| ~ spl0_269 ),
inference(forward_subsumption_resolution,[],[f2573,f1437]) ).
fof(f2577,plain,
( ~ spl0_188
| ~ spl0_269 ),
inference(avatar_contradiction_clause,[],[f2576]) ).
cnf(s136,plain,
( ~ spl0_268
| spl0_269 ),
inference(sat_conversion,[],[f1774]) ).
cnf(s201,plain,
spl0_188,
inference(sat_conversion,[],[f1963]) ).
cnf(s205,plain,
spl0_268,
inference(sat_conversion,[],[f1970]) ).
cnf(s332,plain,
( ~ spl0_188
| ~ spl0_269 ),
inference(sat_conversion,[],[f2577]) ).
cnf(s337,plain,
~ spl0_269,
inference(rat,[],[s332,s201]) ).
cnf(s359,plain,
$false,
inference(rat,[],[s136,s337,s205]) ).
fof(f2578,plain,
$false,
inference(avatar_sat_refutation,[],[s359]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN248-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 15:38:50 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12 Running first-order model finding
% 0.08/0.12 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
% 0.08/0.17 % (3463969)Will run a generic schedule for satisfiability detection.
% 0.08/0.17 % (3463983)% WARNING: option uhcvi not known.
% 0.08/0.17 % (3463983)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4252724188:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.17 % (3463982)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1044154441_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.17 % (3463986)dis+10_1_sil=32000:sp=arity:random_seed=2797645746:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.17 % (3463985)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1128296293:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.17 % (3463988)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3461167219:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.17 % (3463983) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3463969-3463983"...
% 0.08/0.17 % (3463983)...printing done.
% 0.08/0.17 % Detected minimum model sizes of [1]
% 0.08/0.17 % Detected maximum model sizes of [5]
% 0.08/0.17 % TRYING [1]
% 0.08/0.17 % (3463983)Refutation found. Thanks to Tanya!
% 0.08/0.17 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.17 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.17 % (3463983)------------------------------
% 0.08/0.17 % (3463983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.17 % (3463983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.17 % (3463983)CaDiCaL version: 2.1.3
% 0.08/0.17 % (3463983)Termination reason: Refutation
% 0.08/0.17 % (3463983)Time elapsed: 0.017 s
% 0.08/0.17 % (3463983)Peak memory usage: 13 MB
% 0.08/0.17 % (3463983)Instructions burned: 32 (million)
% 0.08/0.17 % (3463969)Success in time 0.043 s
% 0.08/0.17 % Vampire exiting
%------------------------------------------------------------------------------