%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN187-1 : 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 : n010.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 02:06:58 PM UTC 2026
% Result : Unsatisfiable 0.25s 0.36s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 54 ( 22 unt; 8 def)
% Number of atoms : 106 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 100 ( 48 ~; 44 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 9 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f25,axiom,
q0(d,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_25) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f150,axiom,
! [X0] :
( q1(X0,X0,X0)
| ~ k1(X0)
| ~ s0(b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_112) ).
fof(f162,axiom,
! [X0,X1] :
( r1(X0)
| ~ q0(X0,X1)
| ~ s0(d)
| ~ q1(d,X1,d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_124) ).
fof(f369,negated_conjecture,
~ r1(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f370,plain,
~ s0(d),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f373,plain,
~ s0(b),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f390,plain,
~ q0(d,d),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f507,plain,
! [X0] :
( ~ q1(X0,X0,X0)
| ~ k1(X0)
| s0(b) ),
inference(consistent_polarity_flipping,[],[f150]) ).
fof(f519,plain,
! [X0,X1] :
( r1(X0)
| q0(X0,X1)
| s0(d)
| q1(d,X1,d) ),
inference(consistent_polarity_flipping,[],[f162]) ).
fof(f889,definition,
( spl0_49
<=> n0(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f890,plain,
( n0(c,d)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f1186,definition,
( spl0_123
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f1457,definition,
( spl0_191
<=> ! [X0,X1] :
( r1(X0)
| q1(d,X1,d)
| q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
fof(f1458,plain,
( ! [X0,X1] :
( r1(X0)
| q1(d,X1,d)
| q0(X0,X1) )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f1457]) ).
fof(f1459,plain,
( spl0_123
| spl0_191 ),
inference(avatar_split_clause,[],[f519,f1457,f1186]) ).
fof(f1466,definition,
( spl0_193
<=> s0(b) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
fof(f1499,definition,
( spl0_201
<=> ! [X0] :
( ~ q1(X0,X0,X0)
| ~ k1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
fof(f1500,plain,
( ! [X0] :
( ~ q1(X0,X0,X0)
| ~ k1(X0) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f1499]) ).
fof(f1501,plain,
( spl0_193
| spl0_201 ),
inference(avatar_split_clause,[],[f507,f1499,f1466]) ).
fof(f1693,definition,
( spl0_248
<=> q0(d,d) ),
introduced(definition,[new_symbols(definition,[spl0_248])],[avatar_definition]) ).
fof(f1804,plain,
spl0_49,
inference(avatar_split_clause,[],[f34,f889]) ).
fof(f1807,plain,
~ spl0_248,
inference(avatar_split_clause,[],[f390,f1693]) ).
fof(f1816,plain,
~ spl0_193,
inference(avatar_split_clause,[],[f373,f1466]) ).
fof(f1817,plain,
~ spl0_123,
inference(avatar_split_clause,[],[f370,f1186]) ).
fof(f2042,definition,
( spl0_275
<=> ! [X0] : ~ n0(X0,d) ),
introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).
fof(f2043,plain,
( ! [X0] : ~ n0(X0,d)
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f2042]) ).
fof(f2424,definition,
( spl0_287
<=> k1(d) ),
introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).
fof(f2426,plain,
( ~ k1(d)
| spl0_287 ),
inference(avatar_component_clause,[],[f2424]) ).
fof(f2431,plain,
( ! [X0] : ~ n0(X0,d)
| spl0_287 ),
inference(resolution,[],[f2426,f39]) ).
fof(f2432,plain,
( spl0_275
| spl0_287 ),
inference(avatar_split_clause,[],[f2431,f2424,f2042]) ).
fof(f2434,plain,
( $false
| ~ spl0_49
| ~ spl0_275 ),
inference(resolution,[],[f2043,f890]) ).
fof(f2435,plain,
( ~ spl0_49
| ~ spl0_275 ),
inference(avatar_contradiction_clause,[],[f2434]) ).
fof(f2719,plain,
( ! [X0] :
( q1(d,X0,d)
| q0(d,X0) )
| ~ spl0_191 ),
inference(resolution,[],[f369,f1458]) ).
fof(f2726,plain,
( q0(d,d)
| ~ k1(d)
| ~ spl0_191
| ~ spl0_201 ),
inference(resolution,[],[f2719,f1500]) ).
fof(f2730,plain,
( ~ spl0_287
| spl0_248
| ~ spl0_191
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f2726,f1499,f1457,f1693,f2424]) ).
cnf(s87,plain,
( spl0_123
| spl0_191 ),
inference(sat_conversion,[],[f1459]) ).
cnf(s94,plain,
( spl0_193
| spl0_201 ),
inference(sat_conversion,[],[f1501]) ).
cnf(s141,plain,
spl0_49,
inference(sat_conversion,[],[f1804]) ).
cnf(s144,plain,
~ spl0_248,
inference(sat_conversion,[],[f1807]) ).
cnf(s153,plain,
~ spl0_193,
inference(sat_conversion,[],[f1816]) ).
cnf(s154,plain,
~ spl0_123,
inference(sat_conversion,[],[f1817]) ).
cnf(s261,plain,
( spl0_275
| spl0_287 ),
inference(sat_conversion,[],[f2432]) ).
cnf(s262,plain,
( ~ spl0_49
| ~ spl0_275 ),
inference(sat_conversion,[],[f2435]) ).
cnf(s302,plain,
( ~ spl0_191
| ~ spl0_201
| spl0_248
| ~ spl0_287 ),
inference(sat_conversion,[],[f2730]) ).
cnf(s324,plain,
~ spl0_275,
inference(rat,[],[s262,s141]) ).
cnf(s325,plain,
spl0_287,
inference(rat,[],[s261,s324]) ).
cnf(s369,plain,
spl0_201,
inference(rat,[],[s94,s153]) ).
cnf(s370,plain,
~ spl0_191,
inference(rat,[],[s302,s325,s144,s369]) ).
cnf(s377,plain,
$false,
inference(rat,[],[s87,s370,s154]) ).
fof(f2735,plain,
$false,
inference(avatar_sat_refutation,[],[s377]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN187-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.25 % Computer : n010.cluster.edu
% 0.12/0.25 % Model : x86_64 x86_64
% 0.12/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.25 % Memory : 8046.5625MB
% 0.12/0.25 % OS : Linux 6.8.0-71-generic
% 0.12/0.25 % CPULimit : 300
% 0.12/0.25 % WCLimit : 300
% 0.12/0.25 % DateTime : Mon Sep 28 15:38:18 UTC 2026
% 0.12/0.25 % CPUTime :
% 0.12/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.28 Running first-order model finding
% 0.12/0.28 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
% 0.25/0.35 % (2017466)Will run a generic schedule for satisfiability detection.
% 0.25/0.35 % (2017477)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=733824155:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.25/0.35 % (2017472)% WARNING: option uhcvi not known.
% 0.25/0.35 % (2017473)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3328409746:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.25/0.35 % (2017472)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3348923043:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.25/0.35 % (2017471)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=971734238_2999 on theBenchmark for (2999ds/0Mi)
% 0.25/0.35 % (2017474)dis+10_1_sil=32000:sp=arity:random_seed=3095415461:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.25/0.35 % (2017475)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3804273002:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.25/0.35 % (2017476)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3119080549:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.25/0.36 % (2017477) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2017466-2017477"...
% 0.25/0.36 % (2017477)...printing done.
% 0.25/0.36 % (2017477)Refutation found. Thanks to Tanya!
% 0.25/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.36 % (2017477)------------------------------
% 0.25/0.36 % (2017477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (2017477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (2017477)CaDiCaL version: 2.1.3
% 0.25/0.36 % (2017477)Termination reason: Refutation
% 0.25/0.36 % (2017477)Time elapsed: 0.027 s
% 0.25/0.36 % (2017477)Peak memory usage: 13 MB
% 0.25/0.36 % (2017477)Instructions burned: 42 (million)
% 0.25/0.36 % (2017466)Success in time 0.06 s
% 0.25/0.36 % Vampire exiting
%------------------------------------------------------------------------------