%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN216-1 : 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 : n007.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 02:07:02 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.27s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 42 ( 16 unt; 5 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 76 ( 39 ~; 32 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 6 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
m0(e,d,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_4) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_133) ).
fof(f369,negated_conjecture,
~ l2(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f447,definition,
( spl0_12
<=> ! [X0] : s1(X0) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f448,plain,
( ! [X0] : s1(X0)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f450,definition,
( spl0_13
<=> ! [X0] : ~ p0(X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f451,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f452,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f453,plain,
( $false
| ~ spl0_13 ),
inference(resolution,[],[f451,f14]) ).
fof(f454,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f1059,definition,
( spl0_88
<=> ! [X2] : ~ s1(X2) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f1060,plain,
( ! [X2] : ~ s1(X2)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1062,definition,
( spl0_89
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f1063,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1064,plain,
( spl0_88
| spl0_89 ),
inference(avatar_split_clause,[],[f164,f1062,f1059]) ).
fof(f1065,plain,
( $false
| ~ spl0_88 ),
inference(resolution,[],[f1060,f452]) ).
fof(f1066,plain,
~ spl0_88,
inference(avatar_contradiction_clause,[],[f1065]) ).
fof(f1069,plain,
( ! [X0] : s1(X0)
| ~ spl0_89 ),
inference(resolution,[],[f1063,f17]) ).
fof(f1078,plain,
( spl0_12
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1069,f1062,f447]) ).
fof(f1819,plain,
( ! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ m0(X3,X2,X0) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f171,f448]) ).
fof(f1856,definition,
( spl0_171
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
fof(f1857,plain,
( ! [X2,X3,X0] :
( ~ m0(X3,X2,X0)
| l2(X0,X0) )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f1856]) ).
fof(f1858,plain,
( spl0_13
| spl0_171
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1819,f447,f1856,f450]) ).
fof(f1866,plain,
( l2(a,a)
| ~ spl0_171 ),
inference(resolution,[],[f1857,f4]) ).
fof(f1882,plain,
( $false
| ~ spl0_171 ),
inference(forward_subsumption_resolution,[],[f1866,f369]) ).
fof(f1883,plain,
~ spl0_171,
inference(avatar_contradiction_clause,[],[f1882]) ).
cnf(s452,plain,
~ spl0_13,
inference(sat_conversion,[],[f454]) ).
cnf(s954,plain,
( spl0_88
| spl0_89 ),
inference(sat_conversion,[],[f1064]) ).
cnf(s958,plain,
~ spl0_88,
inference(sat_conversion,[],[f1066]) ).
cnf(s972,plain,
( spl0_12
| ~ spl0_89 ),
inference(sat_conversion,[],[f1078]) ).
cnf(s1566,plain,
( ~ spl0_12
| spl0_13
| spl0_171 ),
inference(sat_conversion,[],[f1858]) ).
cnf(s1581,plain,
~ spl0_171,
inference(sat_conversion,[],[f1883]) ).
cnf(s1584,plain,
( ~ spl0_12
| spl0_13 ),
inference(rat,[],[s1566,s1581]) ).
cnf(s1590,plain,
spl0_89,
inference(rat,[],[s954,s958]) ).
cnf(s1591,plain,
spl0_12,
inference(rat,[],[s972,s1590]) ).
cnf(s1593,plain,
spl0_13,
inference(rat,[],[s1584,s1591]) ).
cnf(s1606,plain,
$false,
inference(rat,[],[s452,s1593]) ).
fof(f1886,plain,
$false,
inference(avatar_sat_refutation,[],[s1606]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN216-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n007.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 15:36:41 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 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
% 0.22/0.27 % (2502995)Will run a generic schedule for satisfiability detection.
% 0.22/0.27 % (2503011)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=286225900:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.27 % (2503010)% WARNING: option uhcvi not known.
% 0.22/0.27 % (2503009)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1804199272_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.27 % (2503010)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=498921354:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.27 % (2503013)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4281684414:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.27 % (2503012)dis+10_1_sil=32000:sp=arity:random_seed=1221228487:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.27 % (2503014)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3422886764:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.27 % (2503015)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3907203705:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.27 % (2503011) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2502995-2503011"...
% 0.22/0.27 % (2503011)...printing done.
% 0.22/0.27 % (2503011)Refutation found. Thanks to Tanya!
% 0.22/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.27 % (2503011)------------------------------
% 0.22/0.27 % (2503011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.27 % (2503011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.27 % (2503011)CaDiCaL version: 2.1.3
% 0.22/0.27 % (2503011)Termination reason: Refutation
% 0.22/0.27 % (2503011)Time elapsed: 0.018 s
% 0.22/0.27 % (2503011)Peak memory usage: 13 MB
% 0.22/0.27 % (2503011)Instructions burned: 42 (million)
% 0.22/0.27 % (2502995)Success in time 0.04 s
% 0.22/0.27 % Vampire exiting
%------------------------------------------------------------------------------