%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN272-1 : 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 : n018.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 02:07:10 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 43 ( 16 unt; 4 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 71 ( 38 ~; 29 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 5 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f43,axiom,
! [X0,X1] :
( ~ m0(X1,X1,X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_005) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_110) ).
fof(f165,axiom,
! [X2,X3,X0,X1] :
( ~ m1(X2,X1,X0)
| k2(X0,X1)
| ~ k1(X3)
| ~ k2(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_127) ).
fof(f167,axiom,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).
fof(f232,axiom,
! [X0,X1] :
( k3(X0,X0,X1)
| ~ k2(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_194) ).
fof(f325,axiom,
! [X0,X1] :
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_287) ).
fof(f369,negated_conjecture,
! [X0] : ~ p4(d,e,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f559,definition,
( spl0_49
<=> n0(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f560,plain,
( n0(c,d)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f1033,definition,
( spl0_168
<=> k1(d) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1034,plain,
( k1(d)
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1554,plain,
spl0_49,
inference(avatar_split_clause,[],[f34,f559]) ).
fof(f1628,plain,
( k1(d)
| ~ spl0_49 ),
inference(resolution,[],[f39,f560]) ).
fof(f1649,plain,
( spl0_168
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1628,f559,f1033]) ).
fof(f1998,plain,
! [X0] : m1(X0,d,X0),
inference(resolution,[],[f43,f19]) ).
fof(f2028,plain,
! [X0] : q1(X0,X0,X0),
inference(resolution,[],[f148,f19]) ).
fof(f2145,plain,
! [X0] : k2(X0,X0),
inference(resolution,[],[f2028,f167]) ).
fof(f2162,plain,
! [X0,X1] :
( p4(X0,X1,X0)
| ~ k2(X1,X0) ),
inference(resolution,[],[f325,f232]) ).
fof(f2960,plain,
! [X0,X1] :
( k2(X0,d)
| ~ k1(X1)
| ~ k2(X1,d) ),
inference(resolution,[],[f165,f1998]) ).
fof(f2978,definition,
( spl0_345
<=> ! [X1] :
( ~ k1(X1)
| ~ k2(X1,d) ) ),
introduced(definition,[new_symbols(definition,[spl0_345])],[avatar_definition]) ).
fof(f2979,plain,
( ! [X1] :
( ~ k2(X1,d)
| ~ k1(X1) )
| ~ spl0_345 ),
inference(avatar_component_clause,[],[f2978]) ).
fof(f2981,definition,
( spl0_346
<=> ! [X0] : k2(X0,d) ),
introduced(definition,[new_symbols(definition,[spl0_346])],[avatar_definition]) ).
fof(f2982,plain,
( ! [X0] : k2(X0,d)
| ~ spl0_346 ),
inference(avatar_component_clause,[],[f2981]) ).
fof(f2983,plain,
( spl0_345
| spl0_346 ),
inference(avatar_split_clause,[],[f2960,f2981,f2978]) ).
fof(f3285,plain,
( ~ k1(d)
| ~ spl0_345 ),
inference(resolution,[],[f2979,f2145]) ).
fof(f3289,plain,
( $false
| ~ spl0_168
| ~ spl0_345 ),
inference(forward_subsumption_resolution,[],[f3285,f1034]) ).
fof(f3290,plain,
( ~ spl0_168
| ~ spl0_345 ),
inference(avatar_contradiction_clause,[],[f3289]) ).
fof(f3774,plain,
~ k2(e,d),
inference(resolution,[],[f2162,f369]) ).
fof(f3779,plain,
( $false
| ~ spl0_346 ),
inference(forward_subsumption_resolution,[],[f3774,f2982]) ).
fof(f3780,plain,
~ spl0_346,
inference(avatar_contradiction_clause,[],[f3779]) ).
cnf(s154,plain,
spl0_49,
inference(sat_conversion,[],[f1554]) ).
cnf(s206,plain,
( ~ spl0_49
| spl0_168 ),
inference(sat_conversion,[],[f1649]) ).
cnf(s395,plain,
( spl0_345
| spl0_346 ),
inference(sat_conversion,[],[f2983]) ).
cnf(s421,plain,
( ~ spl0_168
| ~ spl0_345 ),
inference(sat_conversion,[],[f3290]) ).
cnf(s472,plain,
~ spl0_346,
inference(sat_conversion,[],[f3780]) ).
cnf(s474,plain,
spl0_345,
inference(rat,[],[s395,s472]) ).
cnf(s475,plain,
~ spl0_168,
inference(rat,[],[s421,s474]) ).
cnf(s483,plain,
~ spl0_49,
inference(rat,[],[s206,s475]) ).
cnf(s501,plain,
$false,
inference(rat,[],[s154,s483]) ).
fof(f3782,plain,
$false,
inference(avatar_sat_refutation,[],[s501]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN272-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.19 % Computer : n018.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Mon Sep 28 15:42:30 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.22 Running first-order model finding
% 0.06/0.22 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
% 0.19/0.27 % (3496882)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (3496896)dis+10_1_sil=32000:sp=arity:random_seed=2101079125:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (3496894)% WARNING: option uhcvi not known.
% 0.19/0.27 % (3496895)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3391495761:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (3496893)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2302101120_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (3496894)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3678047606:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (3496897)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1613333663:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (3496899)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1427057353:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % (3496898)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2058501938:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (3496896) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3496882-3496896"...
% 0.19/0.27 % (3496896)...printing done.
% 0.19/0.27 % (3496896)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (3496896)------------------------------
% 0.19/0.27 % (3496896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (3496896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (3496896)CaDiCaL version: 2.1.3
% 0.19/0.27 % (3496896)Termination reason: Refutation
% 0.19/0.27 % (3496896)Time elapsed: 0.022 s
% 0.19/0.27 % (3496896)Peak memory usage: 13 MB
% 0.19/0.27 % (3496896)Instructions burned: 57 (million)
% 0.19/0.27 % (3496882)Success in time 0.043 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------