%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN199-1 : 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 : n014.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 0.07s 0.26s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 13 unt; 4 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 61 ( 33 ~; 24 |; 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 : 19 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f33,axiom,
q0(d,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_33) ).
fof(f163,axiom,
! [X0] :
( s1(X0)
| ~ p0(X0,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(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f380,plain,
~ q0(d,c),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f464,plain,
! [X0] :
( ~ p0(X0,X0)
| ~ s1(X0) ),
inference(consistent_polarity_flipping,[],[f163]) ).
fof(f465,plain,
! [X2,X0,X1] :
( ~ s1(X0)
| q0(X0,X1)
| s1(X2) ),
inference(consistent_polarity_flipping,[],[f164]) ).
fof(f641,plain,
s1(d),
inference(consistent_polarity_flipping,[],[f369]) ).
fof(f874,definition,
( spl0_60
<=> ! [X1] : s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f875,plain,
( ! [X1] : s1(X1)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f1139,definition,
( spl0_126
<=> s1(d) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f1141,plain,
( s1(d)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f1413,definition,
( spl0_194
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
fof(f1414,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1413]) ).
fof(f1429,definition,
( spl0_198
<=> ! [X0,X1] :
( ~ s1(X0)
| q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
fof(f1430,plain,
( ! [X0,X1] :
( ~ s1(X0)
| q0(X0,X1) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f1431,plain,
( spl0_60
| spl0_198 ),
inference(avatar_split_clause,[],[f465,f1429,f874]) ).
fof(f1841,plain,
spl0_126,
inference(avatar_split_clause,[],[f641,f1139]) ).
fof(f1858,plain,
( $false
| ~ spl0_194 ),
inference(resolution,[],[f1414,f14]) ).
fof(f1859,plain,
~ spl0_194,
inference(avatar_contradiction_clause,[],[f1858]) ).
fof(f1922,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f464,f875]) ).
fof(f1923,plain,
( spl0_194
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1922,f874,f1413]) ).
fof(f1932,plain,
( ! [X0] : q0(d,X0)
| ~ spl0_126
| ~ spl0_198 ),
inference(resolution,[],[f1430,f1141]) ).
fof(f1991,plain,
( $false
| ~ spl0_126
| ~ spl0_198 ),
inference(backward_subsumption_resolution,[],[f380,f1932]) ).
fof(f1995,plain,
( ~ spl0_126
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f1991]) ).
cnf(s91,plain,
( spl0_60
| spl0_198 ),
inference(sat_conversion,[],[f1431]) ).
cnf(s169,plain,
spl0_126,
inference(sat_conversion,[],[f1841]) ).
cnf(s178,plain,
~ spl0_194,
inference(sat_conversion,[],[f1859]) ).
cnf(s209,plain,
( ~ spl0_60
| spl0_194 ),
inference(sat_conversion,[],[f1923]) ).
cnf(s236,plain,
( ~ spl0_126
| ~ spl0_198 ),
inference(sat_conversion,[],[f1995]) ).
cnf(s237,plain,
~ spl0_60,
inference(rat,[],[s209,s178]) ).
cnf(s238,plain,
~ spl0_198,
inference(rat,[],[s236,s169]) ).
cnf(s294,plain,
$false,
inference(rat,[],[s91,s238,s237]) ).
fof(f1996,plain,
$false,
inference(avatar_sat_refutation,[],[s294]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN199-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n014.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:38:15 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.07/0.26 % (1862918)Will run a generic schedule for satisfiability detection.
% 0.07/0.26 % (1862924)% WARNING: option uhcvi not known.
% 0.07/0.26 % (1862924)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2384182841:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.26 % (1862924) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1862918-1862924"...
% 0.07/0.26 % (1862923)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2958987611_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.26 % (1862926)dis+10_1_sil=32000:sp=arity:random_seed=56096206:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.26 % (1862924)...printing done.
% 0.07/0.26 % (1862925)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3211713093:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.26 % (1862927)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1653720212:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.26 % (1862924)Refutation found. Thanks to Tanya!
% 0.07/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.26 % (1862924)------------------------------
% 0.07/0.26 % (1862924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.26 % (1862924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.26 % (1862924)CaDiCaL version: 2.1.3
% 0.07/0.26 % (1862924)Termination reason: Refutation
% 0.07/0.26 % (1862924)Time elapsed: 0.006 s
% 0.07/0.26 % (1862924)Peak memory usage: 13 MB
% 0.07/0.26 % (1862924)Instructions burned: 15 (million)
% 0.07/0.26 % (1862918)Success in time 0.039 s
% 0.07/0.26 % Vampire exiting
%------------------------------------------------------------------------------