%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN182-1 : 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 02:06:57 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 41 ( 17 unt; 5 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 69 ( 35 ~; 29 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 6 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f117,axiom,
! [X0] :
( p1(X0,X0,X0)
| ~ k0(e)
| ~ k1(X0)
| ~ l0(c) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_079) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f282,axiom,
! [X0] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_244) ).
fof(f315,axiom,
! [X2,X0,X1] :
( ~ p3(X1,X2,X0)
| l4(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_277) ).
fof(f362,axiom,
! [X0] :
( q5(X0,X0)
| ~ l4(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_324) ).
fof(f369,negated_conjecture,
! [X0] : ~ q5(X0,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f909,definition,
( spl0_136
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f1112,definition,
( spl0_187
<=> n2(c) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
fof(f1114,plain,
( n2(c)
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f1125,definition,
( spl0_190
<=> k1(c) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
fof(f1126,plain,
( k1(c)
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f1195,definition,
( spl0_207
<=> k0(e) ),
introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).
fof(f1314,definition,
( spl0_236
<=> ! [X0] :
( p1(X0,X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_236])],[avatar_definition]) ).
fof(f1315,plain,
( ! [X0] :
( p1(X0,X0,X0)
| ~ k1(X0) )
| ~ spl0_236 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f1316,plain,
( ~ spl0_136
| ~ spl0_207
| spl0_236 ),
inference(avatar_split_clause,[],[f117,f1314,f1195,f909]) ).
fof(f1565,plain,
spl0_207,
inference(avatar_split_clause,[],[f28,f1195]) ).
fof(f1567,plain,
spl0_136,
inference(avatar_split_clause,[],[f24,f909]) ).
fof(f1632,plain,
k1(c),
inference(resolution,[],[f39,f26]) ).
fof(f1648,plain,
spl0_190,
inference(avatar_split_clause,[],[f1632,f1125]) ).
fof(f1668,plain,
~ l4(c),
inference(resolution,[],[f362,f369]) ).
fof(f1771,plain,
! [X0] :
( ~ n2(X0)
| l4(X0) ),
inference(resolution,[],[f315,f282]) ).
fof(f1788,plain,
( ! [X0] :
( ~ k1(X0)
| n2(X0) )
| ~ spl0_236 ),
inference(resolution,[],[f1315,f175]) ).
fof(f1794,plain,
( n2(c)
| ~ spl0_190
| ~ spl0_236 ),
inference(resolution,[],[f1788,f1126]) ).
fof(f1795,plain,
( spl0_187
| ~ spl0_190
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f1794,f1314,f1125,f1112]) ).
fof(f1797,plain,
( l4(c)
| ~ spl0_187 ),
inference(resolution,[],[f1114,f1771]) ).
fof(f1798,plain,
( $false
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f1797,f1668]) ).
fof(f1799,plain,
~ spl0_187,
inference(avatar_contradiction_clause,[],[f1798]) ).
cnf(s117,plain,
( ~ spl0_136
| ~ spl0_207
| spl0_236 ),
inference(sat_conversion,[],[f1316]) ).
cnf(s157,plain,
spl0_207,
inference(sat_conversion,[],[f1565]) ).
cnf(s159,plain,
spl0_136,
inference(sat_conversion,[],[f1567]) ).
cnf(s199,plain,
spl0_190,
inference(sat_conversion,[],[f1648]) ).
cnf(s256,plain,
( spl0_187
| ~ spl0_190
| ~ spl0_236 ),
inference(sat_conversion,[],[f1795]) ).
cnf(s257,plain,
~ spl0_187,
inference(sat_conversion,[],[f1799]) ).
cnf(s258,plain,
( ~ spl0_190
| ~ spl0_236 ),
inference(rat,[],[s256,s257]) ).
cnf(s261,plain,
~ spl0_236,
inference(rat,[],[s258,s199]) ).
cnf(s293,plain,
$false,
inference(rat,[],[s117,s261,s157,s159]) ).
fof(f1800,plain,
$false,
inference(avatar_sat_refutation,[],[s293]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN182-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n007.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:35:41 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.09/0.25 % (2499603)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (2499611)dis+10_1_sil=32000:sp=arity:random_seed=3143741724:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.25 % (2499609)% WARNING: option uhcvi not known.
% 0.09/0.25 % (2499611) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2499603-2499611"...
% 0.09/0.25 % (2499611)...printing done.
% 0.09/0.25 % (2499608)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2850895078_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.25 % (2499609)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=444459393:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.25 % (2499610)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2481065313:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.25 % (2499612)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=925011818:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.25 % (2499613)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=888345209:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.25 % (2499611)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25 % (2499611)------------------------------
% 0.09/0.25 % (2499611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (2499611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (2499611)CaDiCaL version: 2.1.3
% 0.09/0.25 % (2499611)Termination reason: Refutation
% 0.09/0.25 % (2499611)Time elapsed: 0.006 s
% 0.09/0.25 % (2499611)Peak memory usage: 13 MB
% 0.09/0.25 % (2499611)Instructions burned: 16 (million)
% 0.09/0.25 % (2499603)Success in time 0.027 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------