%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN220-1 : 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 : n001.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 02:07:03 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.25s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 9 unt; 3 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 25 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f104,axiom,
! [X0,X1] :
( p1(X0,X0,X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_066) ).
fof(f174,axiom,
( m2(b)
| ~ k1(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_136) ).
fof(f175,axiom,
! [X2,X0,X1] :
( n2(X0)
| ~ p1(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f255,axiom,
! [X0] :
( l3(X0,X0)
| ~ n2(X0)
| ~ m2(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_217) ).
fof(f369,negated_conjecture,
! [X0] : ~ l3(X0,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f449,plain,
! [X0,X1] :
( ~ p1(X0,X0,X0)
| ~ n0(X1,X0) ),
inference(consistent_polarity_flipping,[],[f104]) ).
fof(f513,plain,
( ~ m2(b)
| ~ k1(b) ),
inference(consistent_polarity_flipping,[],[f174]) ).
fof(f514,plain,
! [X2,X0,X1] :
( n2(X0)
| p1(X1,X2,X0) ),
inference(consistent_polarity_flipping,[],[f175]) ).
fof(f578,plain,
! [X0] :
( l3(X0,X0)
| ~ n2(X0)
| m2(b) ),
inference(consistent_polarity_flipping,[],[f255]) ).
fof(f848,definition,
( spl0_51
<=> m2(b) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f1036,definition,
( spl0_98
<=> ! [X0] :
( l3(X0,X0)
| ~ n2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f1037,plain,
( ! [X0] :
( l3(X0,X0)
| ~ n2(X0) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f1038,plain,
( spl0_51
| spl0_98 ),
inference(avatar_split_clause,[],[f578,f1036,f848]) ).
fof(f1389,definition,
( spl0_186
<=> k1(b) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
fof(f1391,plain,
( ~ k1(b)
| spl0_186 ),
inference(avatar_component_clause,[],[f1389]) ).
fof(f1392,plain,
( ~ spl0_186
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f513,f848,f1389]) ).
fof(f1835,plain,
( ! [X0] : ~ n0(X0,b)
| spl0_186 ),
inference(resolution,[],[f39,f1391]) ).
fof(f1843,plain,
( $false
| spl0_186 ),
inference(resolution,[],[f1835,f7]) ).
fof(f1848,plain,
spl0_186,
inference(avatar_contradiction_clause,[],[f1843]) ).
fof(f1959,plain,
( ~ n2(b)
| ~ spl0_98 ),
inference(resolution,[],[f1037,f369]) ).
fof(f1962,plain,
( ! [X0,X1] : p1(X0,X1,b)
| ~ spl0_98 ),
inference(resolution,[],[f1959,f514]) ).
fof(f1996,plain,
( ! [X0] : ~ n0(X0,b)
| ~ spl0_98 ),
inference(resolution,[],[f449,f1962]) ).
fof(f1998,plain,
( $false
| ~ spl0_98 ),
inference(resolution,[],[f1996,f7]) ).
fof(f2003,plain,
~ spl0_98,
inference(avatar_contradiction_clause,[],[f1998]) ).
cnf(s43,plain,
( spl0_51
| spl0_98 ),
inference(sat_conversion,[],[f1038]) ).
cnf(s84,plain,
( ~ spl0_51
| ~ spl0_186 ),
inference(sat_conversion,[],[f1392]) ).
cnf(s187,plain,
spl0_186,
inference(sat_conversion,[],[f1848]) ).
cnf(s241,plain,
~ spl0_98,
inference(sat_conversion,[],[f2003]) ).
cnf(s308,plain,
~ spl0_51,
inference(rat,[],[s84,s187]) ).
cnf(s326,plain,
$false,
inference(rat,[],[s43,s241,s308]) ).
fof(f2004,plain,
$false,
inference(avatar_sat_refutation,[],[s326]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN220-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.16 % Computer : n001.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.16 % CPULimit : 300
% 0.07/0.16 % WCLimit : 300
% 0.07/0.16 % DateTime : Mon Sep 28 15:44:33 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 Running first-order model finding
% 0.07/0.20 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
% 0.07/0.25 % (441947)Will run a generic schedule for satisfiability detection.
% 0.07/0.25 % (441958)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=434303236:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.25 % (441953)% WARNING: option uhcvi not known.
% 0.07/0.25 % (441953)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1065957074:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.25 % (441954)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=419073133:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.25 % (441956)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3376548841:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.25 % (441955)dis+10_1_sil=32000:sp=arity:random_seed=2367773770:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.25 % (441957)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=546272289:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.25 % (441958) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-441947-441958"...
% 0.07/0.25 % (441958)...printing done.
% 0.07/0.25 % (441958)Refutation found. Thanks to Tanya!
% 0.07/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (441958)------------------------------
% 0.07/0.25 % (441958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (441958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (441958)CaDiCaL version: 2.1.3
% 0.07/0.25 % (441958)Termination reason: Refutation
% 0.07/0.25 % (441958)Time elapsed: 0.010 s
% 0.07/0.25 % (441958)Peak memory usage: 13 MB
% 0.07/0.25 % (441958)Instructions burned: 26 (million)
% 0.07/0.25 % (441947)Success in time 0.047 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------