%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN198-1 : 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 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 11 unt; 4 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 29 ~; 20 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f369,negated_conjecture,
~ s1(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f602,definition,
( spl0_60
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f603,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f912,definition,
( spl0_137
<=> s1(c) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f914,plain,
( ~ s1(c)
| spl0_137 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f1141,definition,
( spl0_194
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
fof(f1142,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1157,definition,
( spl0_198
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
fof(f1158,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f1159,plain,
( spl0_60
| spl0_198 ),
inference(avatar_split_clause,[],[f164,f1157,f602]) ).
fof(f1569,plain,
~ spl0_137,
inference(avatar_split_clause,[],[f369,f912]) ).
fof(f1578,plain,
( $false
| ~ spl0_194 ),
inference(resolution,[],[f1142,f14]) ).
fof(f1579,plain,
~ spl0_194,
inference(avatar_contradiction_clause,[],[f1578]) ).
fof(f1652,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f163,f603]) ).
fof(f1653,plain,
( spl0_194
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1652,f602,f1141]) ).
fof(f1661,plain,
( ! [X0] : s1(X0)
| ~ spl0_198 ),
inference(resolution,[],[f1158,f17]) ).
fof(f1688,plain,
( $false
| spl0_137
| ~ spl0_198 ),
inference(resolution,[],[f1661,f914]) ).
fof(f1689,plain,
( spl0_137
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f1688]) ).
cnf(s91,plain,
( spl0_60
| spl0_198 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s169,plain,
~ spl0_137,
inference(sat_conversion,[],[f1569]) ).
cnf(s174,plain,
~ spl0_194,
inference(sat_conversion,[],[f1579]) ).
cnf(s210,plain,
( ~ spl0_60
| spl0_194 ),
inference(sat_conversion,[],[f1653]) ).
cnf(s222,plain,
( spl0_137
| ~ spl0_198 ),
inference(sat_conversion,[],[f1689]) ).
cnf(s223,plain,
~ spl0_60,
inference(rat,[],[s210,s174]) ).
cnf(s224,plain,
~ spl0_198,
inference(rat,[],[s222,s169]) ).
cnf(s276,plain,
$false,
inference(rat,[],[s91,s224,s223]) ).
fof(f1690,plain,
$false,
inference(avatar_sat_refutation,[],[s276]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN198-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n013.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 15:37:37 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.20/0.27 % (1279847)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (1279855)dis+10_1_sil=32000:sp=arity:random_seed=2860883490:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27 % (1279853)% WARNING: option uhcvi not known.
% 0.20/0.27 % (1279855) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1279847-1279855"...
% 0.20/0.27 % (1279855)...printing done.
% 0.20/0.27 % (1279852)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3492037879_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27 % (1279853)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3653807125:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27 % (1279854)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4165001873:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (1279856)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3508075990:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27 % (1279855)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 % (1279855)------------------------------
% 0.20/0.27 % (1279855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (1279855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (1279855)CaDiCaL version: 2.1.3
% 0.20/0.27 % (1279855)Termination reason: Refutation
% 0.20/0.27 % (1279855)Time elapsed: 0.006 s
% 0.20/0.27 % (1279855)Peak memory usage: 13 MB
% 0.20/0.27 % (1279855)Instructions burned: 12 (million)
% 0.20/0.27 % (1279847)Success in time 0.05 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------