%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN222-1 : 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 : 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 02:07:03 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of formulae : 67 ( 19 unt; 9 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 133 ( 69 ~; 55 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 10 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f163,axiom,
! [X0] :
( s1(X0)
| ~ p0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f228,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_190) ).
fof(f258,axiom,
! [X0,X1] :
( l3(X0,X0)
| ~ s2(X1)
| ~ l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_220) ).
fof(f369,negated_conjecture,
! [X0] : ~ l3(X0,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f471,plain,
! [X0] :
( ~ p0(X0,X0)
| ~ s1(X0) ),
inference(consistent_polarity_flipping,[],[f163]) ).
fof(f472,plain,
! [X2,X0,X1] :
( ~ s1(X0)
| ~ q0(X0,X1)
| s1(X2) ),
inference(consistent_polarity_flipping,[],[f164]) ).
fof(f535,plain,
( ~ s2(d)
| s1(a)
| ~ s0(d) ),
inference(consistent_polarity_flipping,[],[f228]) ).
fof(f561,plain,
! [X0,X1] :
( l3(X0,X0)
| s2(X1)
| ~ l1(X0,X0) ),
inference(consistent_polarity_flipping,[],[f258]) ).
fof(f849,definition,
( spl0_49
<=> n0(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f850,plain,
( n0(c,d)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f892,definition,
( spl0_60
<=> ! [X1] : s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f893,plain,
( ! [X1] : s1(X1)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f1015,definition,
( spl0_91
<=> s2(d) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f1016,plain,
( ~ s2(d)
| spl0_91 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f1046,definition,
( spl0_98
<=> ! [X1] : s2(X1) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f1047,plain,
( ! [X1] : s2(X1)
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1049,definition,
( spl0_99
<=> ! [X0] :
( l3(X0,X0)
| ~ l1(X0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f1050,plain,
( ! [X0] :
( l3(X0,X0)
| ~ l1(X0,X0) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f1049]) ).
fof(f1051,plain,
( spl0_98
| spl0_99 ),
inference(avatar_split_clause,[],[f561,f1049,f1046]) ).
fof(f1166,definition,
( spl0_128
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f1170,definition,
( spl0_129
<=> s1(a) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f1172,plain,
( s1(a)
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f1173,plain,
( ~ spl0_128
| spl0_129
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f535,f1015,f1170,f1166]) ).
fof(f1431,definition,
( spl0_194
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
fof(f1432,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1431]) ).
fof(f1447,definition,
( spl0_198
<=> ! [X0,X1] :
( ~ s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
fof(f1448,plain,
( ! [X0,X1] :
( ~ s1(X0)
| ~ q0(X0,X1) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f1447]) ).
fof(f1449,plain,
( spl0_60
| spl0_198 ),
inference(avatar_split_clause,[],[f472,f1447,f892]) ).
fof(f1844,plain,
spl0_49,
inference(avatar_split_clause,[],[f34,f849]) ).
fof(f1858,plain,
spl0_128,
inference(avatar_split_clause,[],[f1,f1166]) ).
fof(f1861,plain,
( $false
| spl0_91
| ~ spl0_98 ),
inference(backward_subsumption_resolution,[],[f1016,f1047]) ).
fof(f1862,plain,
( spl0_91
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[],[f1861]) ).
fof(f1873,plain,
( $false
| ~ spl0_194 ),
inference(resolution,[],[f1432,f14]) ).
fof(f1874,plain,
~ spl0_194,
inference(avatar_contradiction_clause,[],[f1873]) ).
fof(f1939,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f471,f893]) ).
fof(f1940,plain,
( spl0_194
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1939,f892,f1431]) ).
fof(f1993,plain,
( l1(d,d)
| ~ spl0_49 ),
inference(resolution,[],[f40,f850]) ).
fof(f2027,plain,
( ~ l1(d,d)
| ~ spl0_99 ),
inference(resolution,[],[f1050,f369]) ).
fof(f2028,plain,
( $false
| ~ spl0_49
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[],[f2027,f1993]) ).
fof(f2029,plain,
( ~ spl0_49
| ~ spl0_99 ),
inference(avatar_contradiction_clause,[],[f2028]) ).
fof(f2031,plain,
( ! [X0] : ~ q0(a,X0)
| ~ spl0_129
| ~ spl0_198 ),
inference(resolution,[],[f1172,f1448]) ).
fof(f2043,plain,
( $false
| ~ spl0_129
| ~ spl0_198 ),
inference(backward_subsumption_resolution,[],[f36,f2031]) ).
fof(f2046,plain,
( ~ spl0_129
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f2043]) ).
cnf(s43,plain,
( spl0_98
| spl0_99 ),
inference(sat_conversion,[],[f1051]) ).
cnf(s59,plain,
( ~ spl0_91
| ~ spl0_128
| spl0_129 ),
inference(sat_conversion,[],[f1173]) ).
cnf(s91,plain,
( spl0_60
| spl0_198 ),
inference(sat_conversion,[],[f1449]) ).
cnf(s154,plain,
spl0_49,
inference(sat_conversion,[],[f1844]) ).
cnf(s168,plain,
spl0_128,
inference(sat_conversion,[],[f1858]) ).
cnf(s170,plain,
( spl0_91
| ~ spl0_98 ),
inference(sat_conversion,[],[f1862]) ).
cnf(s176,plain,
~ spl0_194,
inference(sat_conversion,[],[f1874]) ).
cnf(s208,plain,
( ~ spl0_60
| spl0_194 ),
inference(sat_conversion,[],[f1940]) ).
cnf(s238,plain,
( ~ spl0_49
| ~ spl0_99 ),
inference(sat_conversion,[],[f2029]) ).
cnf(s244,plain,
( ~ spl0_129
| ~ spl0_198 ),
inference(sat_conversion,[],[f2046]) ).
cnf(s245,plain,
~ spl0_60,
inference(rat,[],[s208,s176]) ).
cnf(s251,plain,
~ spl0_99,
inference(rat,[],[s238,s154]) ).
cnf(s301,plain,
spl0_198,
inference(rat,[],[s91,s245]) ).
cnf(s302,plain,
~ spl0_129,
inference(rat,[],[s244,s301]) ).
cnf(s322,plain,
~ spl0_91,
inference(rat,[],[s59,s302,s168]) ).
cnf(s324,plain,
~ spl0_98,
inference(rat,[],[s170,s322]) ).
cnf(s329,plain,
$false,
inference(rat,[],[s43,s251,s324]) ).
fof(f2047,plain,
$false,
inference(avatar_sat_refutation,[],[s329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN222-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % 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 15:36:40 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.19/0.27 % (2502736)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (2502742)% WARNING: option uhcvi not known.
% 0.19/0.27 % (2502742)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1728982692:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (2502742) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2502736-2502742"...
% 0.19/0.27 % (2502741)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3642336675_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (2502743)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3766352766:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (2502744)dis+10_1_sil=32000:sp=arity:random_seed=3299909438:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (2502745)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=424908294:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (2502742)...printing done.
% 0.19/0.27 % (2502742)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 % (2502742)------------------------------
% 0.19/0.27 % (2502742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (2502742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (2502742)CaDiCaL version: 2.1.3
% 0.19/0.27 % (2502742)Termination reason: Refutation
% 0.19/0.27 % (2502742)Time elapsed: 0.007 s
% 0.19/0.27 % (2502742)Peak memory usage: 13 MB
% 0.19/0.27 % (2502742)Instructions burned: 17 (million)
% 0.19/0.27 % (2502736)Success in time 0.049 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------