%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN134-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 02:06:51 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 11 unt; 3 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 20 ~; 17 |; 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; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
fof(f40,axiom,
! [X0,X1] :
( l1(X0,X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f173,axiom,
! [X2,X0,X1] :
( m2(X0)
| ~ s0(X0)
| ~ l1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_135) ).
fof(f369,negated_conjecture,
~ m2(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f370,plain,
~ s0(d),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f384,plain,
! [X0,X1] :
( ~ l1(X0,X0)
| ~ n0(X1,X0) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f498,plain,
! [X2,X0,X1] :
( m2(X0)
| s0(X0)
| l1(X1,X2) ),
inference(consistent_polarity_flipping,[],[f173]) ).
fof(f1118,definition,
( spl0_121
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f1367,definition,
( spl0_183
<=> ! [X2,X1] : l1(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
fof(f1368,plain,
( ! [X2,X1] : l1(X1,X2)
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f1370,definition,
( spl0_184
<=> ! [X0] :
( m2(X0)
| s0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f1371,plain,
( ! [X0] :
( m2(X0)
| s0(X0) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f1372,plain,
( spl0_183
| spl0_184 ),
inference(avatar_split_clause,[],[f498,f1370,f1367]) ).
fof(f1754,plain,
~ spl0_121,
inference(avatar_split_clause,[],[f370,f1118]) ).
fof(f1859,plain,
( ! [X0,X1] : ~ n0(X0,X1)
| ~ spl0_183 ),
inference(resolution,[],[f384,f1368]) ).
fof(f1860,plain,
( $false
| ~ spl0_183 ),
inference(resolution,[],[f1859,f3]) ).
fof(f1875,plain,
~ spl0_183,
inference(avatar_contradiction_clause,[],[f1860]) ).
fof(f1876,plain,
( s0(d)
| ~ spl0_184 ),
inference(resolution,[],[f1371,f369]) ).
fof(f1879,plain,
( spl0_121
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f1876,f1370,f1118]) ).
cnf(s84,plain,
( spl0_183
| spl0_184 ),
inference(sat_conversion,[],[f1372]) ).
cnf(s155,plain,
~ spl0_121,
inference(sat_conversion,[],[f1754]) ).
cnf(s208,plain,
~ spl0_183,
inference(sat_conversion,[],[f1875]) ).
cnf(s209,plain,
( spl0_121
| ~ spl0_184 ),
inference(sat_conversion,[],[f1879]) ).
cnf(s213,plain,
~ spl0_184,
inference(rat,[],[s209,s155]) ).
cnf(s261,plain,
$false,
inference(rat,[],[s84,s213,s208]) ).
fof(f1880,plain,
$false,
inference(avatar_sat_refutation,[],[s261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN134-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n004.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 15:36:07 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.26 % (467232)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (467243)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=372349526:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.26 % (467238)% WARNING: option uhcvi not known.
% 0.08/0.26 % (467240)dis+10_1_sil=32000:sp=arity:random_seed=4166205225:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.26 % (467241)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=130527746:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26 % (467237)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3838111250_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26 % (467238)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=721006280:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26 % (467239)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1162278117:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26 % (467242)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=962894423:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.26 % (467243) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-467232-467243"...
% 0.08/0.26 % (467243)...printing done.
% 0.08/0.26 % (467243)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (467243)------------------------------
% 0.08/0.26 % (467243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (467243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (467243)CaDiCaL version: 2.1.3
% 0.08/0.26 % (467243)Termination reason: Refutation
% 0.08/0.26 % (467243)Time elapsed: 0.009 s
% 0.08/0.26 % (467243)Peak memory usage: 13 MB
% 0.08/0.26 % (467243)Instructions burned: 22 (million)
% 0.08/0.26 % (467232)Success in time 0.028 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------