%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN111-1 : 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 : 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 02:06:47 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.27s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of formulae : 62 ( 24 unt; 9 def)
% Number of atoms : 135 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 144 ( 71 ~; 64 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 10 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 22 !; 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(f15,axiom,
n0(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_15) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f59,axiom,
! [X0,X1] :
( m1(X0,X1,X0)
| ~ l0(X0)
| ~ k0(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_021) ).
fof(f157,axiom,
! [X0] :
( q1(X0,b,b)
| ~ s0(X0)
| ~ s0(b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_119) ).
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(f369,negated_conjecture,
~ k2(c,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f617,definition,
( spl0_64
<=> k2(c,b) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f619,plain,
( ~ k2(c,b)
| spl0_64 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f699,definition,
( spl0_84
<=> ! [X3] : ~ s0(X3) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f700,plain,
( ! [X3] : ~ s0(X3)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f876,definition,
( spl0_128
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f877,plain,
( s0(d)
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f900,definition,
( spl0_134
<=> l0(c) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f901,plain,
( l0(c)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f1099,definition,
( spl0_184
<=> k0(b) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
fof(f1100,plain,
( k0(b)
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f1129,definition,
( spl0_191
<=> k1(b) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
fof(f1130,plain,
( k1(b)
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f1170,definition,
( spl0_201
<=> s0(b) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
fof(f1174,definition,
( spl0_202
<=> ! [X0] :
( q1(X0,b,b)
| ~ s0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
fof(f1175,plain,
( ! [X0] :
( q1(X0,b,b)
| ~ s0(X0) )
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f1176,plain,
( ~ spl0_201
| spl0_202 ),
inference(avatar_split_clause,[],[f157,f1174,f1170]) ).
fof(f1555,plain,
spl0_184,
inference(avatar_split_clause,[],[f32,f1099]) ).
fof(f1558,plain,
spl0_134,
inference(avatar_split_clause,[],[f24,f900]) ).
fof(f1567,plain,
spl0_201,
inference(avatar_split_clause,[],[f5,f1170]) ).
fof(f1568,plain,
spl0_128,
inference(avatar_split_clause,[],[f1,f876]) ).
fof(f1569,plain,
~ spl0_64,
inference(avatar_split_clause,[],[f369,f617]) ).
fof(f1570,plain,
( $false
| ~ spl0_84
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f877,f700]) ).
fof(f1571,plain,
( ~ spl0_84
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f1570]) ).
fof(f1627,plain,
k1(b),
inference(resolution,[],[f39,f15]) ).
fof(f1648,plain,
spl0_191,
inference(avatar_split_clause,[],[f1627,f1129]) ).
fof(f1877,plain,
( ! [X0] :
( k2(b,b)
| ~ s0(X0) )
| ~ spl0_202 ),
inference(resolution,[],[f167,f1175]) ).
fof(f1883,definition,
( spl0_294
<=> k2(b,b) ),
introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).
fof(f1885,plain,
( k2(b,b)
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f1883]) ).
fof(f1886,plain,
( spl0_84
| spl0_294
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f1877,f1174,f1883,f699]) ).
fof(f2960,plain,
! [X2,X0,X1] :
( ~ k2(X2,X1)
| ~ k1(X2)
| k2(X0,X1)
| ~ l0(X0)
| ~ k0(X1) ),
inference(resolution,[],[f165,f59]) ).
fof(f4836,plain,
( ! [X0] :
( ~ k1(b)
| k2(X0,b)
| ~ l0(X0)
| ~ k0(b) )
| ~ spl0_294 ),
inference(resolution,[],[f2960,f1885]) ).
fof(f4839,plain,
( ! [X0] :
( k2(X0,b)
| ~ l0(X0)
| ~ k0(b) )
| ~ spl0_191
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f4836,f1130]) ).
fof(f4842,plain,
( ! [X0] :
( k2(X0,b)
| ~ l0(X0) )
| ~ spl0_184
| ~ spl0_191
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f4839,f1100]) ).
fof(f5065,plain,
( ~ l0(c)
| spl0_64
| ~ spl0_184
| ~ spl0_191
| ~ spl0_294 ),
inference(resolution,[],[f4842,f619]) ).
fof(f5066,plain,
( $false
| spl0_64
| ~ spl0_134
| ~ spl0_184
| ~ spl0_191
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f5065,f901]) ).
fof(f5067,plain,
( spl0_64
| ~ spl0_134
| ~ spl0_184
| ~ spl0_191
| ~ spl0_294 ),
inference(avatar_contradiction_clause,[],[f5066]) ).
cnf(s94,plain,
( ~ spl0_201
| spl0_202 ),
inference(sat_conversion,[],[f1176]) ).
cnf(s155,plain,
spl0_184,
inference(sat_conversion,[],[f1555]) ).
cnf(s158,plain,
spl0_134,
inference(sat_conversion,[],[f1558]) ).
cnf(s167,plain,
spl0_201,
inference(sat_conversion,[],[f1567]) ).
cnf(s168,plain,
spl0_128,
inference(sat_conversion,[],[f1568]) ).
cnf(s169,plain,
~ spl0_64,
inference(sat_conversion,[],[f1569]) ).
cnf(s170,plain,
( ~ spl0_84
| ~ spl0_128 ),
inference(sat_conversion,[],[f1571]) ).
cnf(s204,plain,
spl0_191,
inference(sat_conversion,[],[f1648]) ).
cnf(s274,plain,
( spl0_84
| ~ spl0_202
| spl0_294 ),
inference(sat_conversion,[],[f1886]) ).
cnf(s553,plain,
( spl0_64
| ~ spl0_134
| ~ spl0_184
| ~ spl0_191
| ~ spl0_294 ),
inference(sat_conversion,[],[f5067]) ).
cnf(s575,plain,
~ spl0_84,
inference(rat,[],[s170,s168]) ).
cnf(s592,plain,
~ spl0_294,
inference(rat,[],[s553,s158,s204,s169,s155]) ).
cnf(s594,plain,
~ spl0_202,
inference(rat,[],[s274,s575,s592]) ).
cnf(s666,plain,
$false,
inference(rat,[],[s94,s594,s167]) ).
fof(f5075,plain,
$false,
inference(avatar_sat_refutation,[],[s666]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN111-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.16 % Computer : n014.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 15:34:16 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 Running first-order model finding
% 0.09/0.19 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
% 0.09/0.27 % (1856160)Will run a generic schedule for satisfiability detection.
% 0.09/0.27 % (1856168)dis+10_1_sil=32000:sp=arity:random_seed=248210608:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.27 % (1856166)% WARNING: option uhcvi not known.
% 0.09/0.27 % (1856165)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1622986098_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.27 % (1856167)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2952459555:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.27 % (1856169)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2601209439:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.27 % (1856170)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2475596862:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.27 % (1856171)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=91375077:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.27 % (1856166)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2429562065:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.27 % Detected minimum model sizes of [1]
% 0.09/0.27 % Detected maximum model sizes of [5]
% 0.09/0.27 % TRYING [1]
% 0.09/0.27 % (1856168) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1856160-1856168"...
% 0.09/0.27 % TRYING [2]
% 0.09/0.27 % (1856168)...printing done.
% 0.09/0.27 % (1856168)Refutation found. Thanks to Tanya!
% 0.09/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.27 % (1856168)------------------------------
% 0.09/0.27 % (1856168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.27 % (1856168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.27 % (1856168)CaDiCaL version: 2.1.3
% 0.09/0.27 % (1856168)Termination reason: Refutation
% 0.09/0.27 % (1856168)Time elapsed: 0.030 s
% 0.09/0.27 % (1856168)Peak memory usage: 14 MB
% 0.09/0.27 % (1856168)Instructions burned: 86 (million)
% 0.09/0.27 % (1856160)Success in time 0.062 s
% 0.09/0.27 % Vampire exiting
%------------------------------------------------------------------------------