%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN151-1 : 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 : 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 02:06:53 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 9 unt; 3 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 28 ~; 20 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f110,axiom,
! [X0,X1] :
( p1(X0,X0,X0)
| ~ s0(X1)
| ~ s0(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_072) ).
fof(f175,axiom,
! [X2,X0,X1] :
( n2(X0)
| ~ p1(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f369,negated_conjecture,
~ n2(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f621,definition,
( spl0_64
<=> ! [X3] : ~ s0(X3) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f622,plain,
( ! [X3] : ~ s0(X3)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f796,definition,
( spl0_108
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f797,plain,
( s0(d)
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f1143,definition,
( spl0_195
<=> ! [X0] :
( p1(X0,X0,X0)
| ~ s0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
fof(f1144,plain,
( ! [X0] :
( ~ s0(X0)
| p1(X0,X0,X0) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f1145,plain,
( spl0_64
| spl0_195 ),
inference(avatar_split_clause,[],[f110,f1143,f621]) ).
fof(f1293,plain,
spl0_108,
inference(avatar_split_clause,[],[f1,f796]) ).
fof(f1294,plain,
( $false
| ~ spl0_64
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f797,f622]) ).
fof(f1295,plain,
( ~ spl0_64
| ~ spl0_108 ),
inference(avatar_contradiction_clause,[],[f1294]) ).
fof(f1451,plain,
! [X0,X1] : ~ p1(X0,X1,d),
inference(resolution,[],[f175,f369]) ).
fof(f1504,plain,
( p1(d,d,d)
| ~ spl0_108
| ~ spl0_195 ),
inference(resolution,[],[f1144,f797]) ).
fof(f1506,plain,
( $false
| ~ spl0_108
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f1504,f1451]) ).
fof(f1507,plain,
( ~ spl0_108
| ~ spl0_195 ),
inference(avatar_contradiction_clause,[],[f1506]) ).
cnf(s98,plain,
( spl0_64
| spl0_195 ),
inference(sat_conversion,[],[f1145]) ).
cnf(s133,plain,
spl0_108,
inference(sat_conversion,[],[f1293]) ).
cnf(s134,plain,
( ~ spl0_64
| ~ spl0_108 ),
inference(sat_conversion,[],[f1295]) ).
cnf(s200,plain,
( ~ spl0_108
| ~ spl0_195 ),
inference(sat_conversion,[],[f1507]) ).
cnf(s205,plain,
~ spl0_195,
inference(rat,[],[s200,s133]) ).
cnf(s206,plain,
~ spl0_64,
inference(rat,[],[s134,s133]) ).
cnf(s230,plain,
$false,
inference(rat,[],[s98,s205,s206]) ).
fof(f1508,plain,
$false,
inference(avatar_sat_refutation,[],[s230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN151-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n011.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:37:16 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.20/0.27 % (3475143)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (3475162)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4061797391:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27 % (3475159)% WARNING: option uhcvi not known.
% 0.20/0.27 % (3475158)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3729320274_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27 % (3475161)dis+10_1_sil=32000:sp=arity:random_seed=1719842145:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27 % (3475159)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3708978801:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27 % (3475160)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=926903542:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (3475164)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=45270347:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.27 % (3475163)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1419967513:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27 % (3475162) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3475143-3475162"...
% 0.20/0.27 % (3475162)...printing done.
% 0.20/0.27 % (3475162)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (3475162)------------------------------
% 0.20/0.27 % (3475162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3475162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3475162)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3475162)Termination reason: Refutation
% 0.20/0.27 % (3475162)Time elapsed: 0.012 s
% 0.20/0.27 % (3475162)Peak memory usage: 13 MB
% 0.20/0.27 % (3475162)Instructions burned: 34 (million)
% 0.20/0.27 % (3475143)Success in time 0.038 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------