%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN249-1 : 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 : n004.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 0.31s 0.39s
% Output : Refutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 15 unt; 4 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 27 ~; 24 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
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,e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f925,definition,
( spl0_140
<=> k1(e) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f926,plain,
( k1(e)
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f1369,definition,
( spl0_249
<=> m1(d,e,e) ),
introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).
fof(f1371,plain,
( ~ m1(d,e,e)
| spl0_249 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f1448,definition,
( spl0_268
<=> k1(a) ),
introduced(definition,[new_symbols(definition,[spl0_268])],[avatar_definition]) ).
fof(f1452,definition,
( spl0_269
<=> ! [X0,X1] :
( m1(X0,X1,X1)
| ~ q0(X0,X0)
| ~ k1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).
fof(f1453,plain,
( ! [X0,X1] :
( ~ q0(X0,X0)
| m1(X0,X1,X1)
| ~ k1(X1) )
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f1454,plain,
( ~ spl0_268
| spl0_269 ),
inference(avatar_split_clause,[],[f72,f1452,f1448]) ).
fof(f1569,plain,
~ spl0_249,
inference(avatar_split_clause,[],[f369,f1369]) ).
fof(f1625,plain,
k1(e),
inference(resolution,[],[f39,f30]) ).
fof(f1628,plain,
k1(a),
inference(resolution,[],[f39,f37]) ).
fof(f1647,plain,
spl0_268,
inference(avatar_split_clause,[],[f1628,f1448]) ).
fof(f1651,plain,
spl0_140,
inference(avatar_split_clause,[],[f1625,f925]) ).
fof(f2466,plain,
( ! [X0] :
( m1(d,X0,X0)
| ~ k1(X0) )
| ~ spl0_269 ),
inference(resolution,[],[f1453,f17]) ).
fof(f3576,plain,
( ~ k1(e)
| spl0_249
| ~ spl0_269 ),
inference(resolution,[],[f2466,f1371]) ).
fof(f3577,plain,
( $false
| ~ spl0_140
| spl0_249
| ~ spl0_269 ),
inference(forward_subsumption_resolution,[],[f3576,f926]) ).
fof(f3578,plain,
( ~ spl0_140
| spl0_249
| ~ spl0_269 ),
inference(avatar_contradiction_clause,[],[f3577]) ).
cnf(s136,plain,
( ~ spl0_268
| spl0_269 ),
inference(sat_conversion,[],[f1454]) ).
cnf(s169,plain,
~ spl0_249,
inference(sat_conversion,[],[f1569]) ).
cnf(s203,plain,
spl0_268,
inference(sat_conversion,[],[f1647]) ).
cnf(s208,plain,
spl0_140,
inference(sat_conversion,[],[f1651]) ).
cnf(s455,plain,
( ~ spl0_140
| spl0_249
| ~ spl0_269 ),
inference(sat_conversion,[],[f3578]) ).
cnf(s466,plain,
~ spl0_269,
inference(rat,[],[s455,s208,s169]) ).
cnf(s499,plain,
$false,
inference(rat,[],[s136,s466,s203]) ).
fof(f3581,plain,
$false,
inference(avatar_sat_refutation,[],[s499]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN249-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.29 % Computer : n004.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8046.5625MB
% 0.09/0.29 % OS : Linux 6.8.0-71-generic
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Sep 28 15:39:08 UTC 2026
% 0.09/0.30 % CPUTime :
% 0.09/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.31/0.33 Running first-order model finding
% 0.31/0.33 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
% 0.31/0.39 % (477402)Will run a generic schedule for satisfiability detection.
% 0.31/0.39 % (477410)dis+10_1_sil=32000:sp=arity:random_seed=920352192:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.31/0.39 % (477408)% WARNING: option uhcvi not known.
% 0.31/0.39 % (477407)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3294070403_2999 on theBenchmark for (2999ds/0Mi)
% 0.31/0.39 % (477408)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2011816945:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.31/0.39 % (477409)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3161500392:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.31/0.39 % (477411)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=949193359:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.31/0.39 % (477412)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1643862640:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.31/0.39 % (477413)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3130446004:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.31/0.39 % (477410) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-477402-477410"...
% 0.31/0.39 % (477410)...printing done.
% 0.31/0.39 % (477410)Refutation found. Thanks to Tanya!
% 0.31/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.31/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.31/0.39 % (477410)------------------------------
% 0.31/0.39 % (477410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.39 % (477410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.39 % (477410)CaDiCaL version: 2.1.3
% 0.31/0.39 % (477410)Termination reason: Refutation
% 0.31/0.39 % (477410)Time elapsed: 0.019 s
% 0.31/0.39 % (477410)Peak memory usage: 13 MB
% 0.31/0.39 % (477410)Instructions burned: 52 (million)
% 0.31/0.39 % (477402)Success in time 0.056 s
% 0.31/0.39 % Vampire exiting
%------------------------------------------------------------------------------