%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN201-1 : 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 : n013.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 02:07:00 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.27s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 11 unt; 2 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 18 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f224,axiom,
! [X0,X1] :
( q2(X0,X0,X1)
| ~ l1(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_186) ).
fof(f227,axiom,
! [X0] :
( s2(X0)
| ~ q2(b,X0,b)
| ~ s1(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_189) ).
fof(f369,negated_conjecture,
~ s2(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f554,plain,
! [X0,X1] :
( ~ q2(X0,X0,X1)
| ~ l1(X1,X0) ),
inference(consistent_polarity_flipping,[],[f224]) ).
fof(f557,plain,
! [X0] :
( s2(X0)
| q2(b,X0,b)
| ~ s1(b) ),
inference(consistent_polarity_flipping,[],[f227]) ).
fof(f1168,definition,
( spl0_130
<=> s1(b) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f1172,definition,
( spl0_131
<=> ! [X0] :
( s2(X0)
| q2(b,X0,b) ) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f1173,plain,
( ! [X0] :
( q2(b,X0,b)
| s2(X0) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1174,plain,
( ~ spl0_130
| spl0_131 ),
inference(avatar_split_clause,[],[f557,f1172,f1168]) ).
fof(f1938,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f1942,plain,
spl0_130,
inference(avatar_split_clause,[],[f1938,f1168]) ).
fof(f1993,plain,
l1(b,b),
inference(resolution,[],[f40,f7]) ).
fof(f2082,plain,
( ~ l1(b,b)
| s2(b)
| ~ spl0_131 ),
inference(resolution,[],[f554,f1173]) ).
fof(f2083,plain,
( s2(b)
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f2082,f1993]) ).
fof(f2085,plain,
( $false
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f2083,f369]) ).
fof(f2086,plain,
~ spl0_131,
inference(avatar_contradiction_clause,[],[f2085]) ).
cnf(s60,plain,
( ~ spl0_130
| spl0_131 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s212,plain,
spl0_130,
inference(sat_conversion,[],[f1942]) ).
cnf(s263,plain,
~ spl0_131,
inference(sat_conversion,[],[f2086]) ).
cnf(s347,plain,
$false,
inference(rat,[],[s60,s263,s212]) ).
fof(f2089,plain,
$false,
inference(avatar_sat_refutation,[],[s347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN201-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n013.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 15:37:51 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.21/0.27 % (1280577)Will run a generic schedule for satisfiability detection.
% 0.21/0.27 % (1280583)% WARNING: option uhcvi not known.
% 0.21/0.27 % (1280583)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1001395472:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.27 % (1280582)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4031958347_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.27 % (1280583) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1280577-1280583"...
% 0.21/0.27 % (1280584)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1346415053:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.27 % (1280585)dis+10_1_sil=32000:sp=arity:random_seed=54214616:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.27 % (1280586)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=294227810:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.27 % (1280583)...printing done.
% 0.21/0.27 % (1280583)Refutation found. Thanks to Tanya!
% 0.21/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.27 % (1280583)------------------------------
% 0.21/0.27 % (1280583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (1280583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (1280583)CaDiCaL version: 2.1.3
% 0.21/0.27 % (1280583)Termination reason: Refutation
% 0.21/0.27 % (1280583)Time elapsed: 0.007 s
% 0.21/0.27 % (1280583)Peak memory usage: 13 MB
% 0.21/0.27 % (1280583)Instructions burned: 19 (million)
% 0.21/0.27 % (1280577)Success in time 0.045 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------