%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN226-1 : 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 : n005.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 02:07:04 PM UTC 2026
% Result : Unsatisfiable 0.25s 0.37s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 66 ( 21 unt; 8 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 125 ( 65 ~; 52 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 9 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f15,axiom,
n0(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_15) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
fof(f40,axiom,
! [X0,X1] :
( l1(X0,X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f163,axiom,
! [X0] :
( s1(X0)
| ~ p0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f228,axiom,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_190) ).
fof(f258,axiom,
! [X0,X1] :
( l3(X0,X0)
| ~ s2(X1)
| ~ l1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_220) ).
fof(f369,negated_conjecture,
~ l3(b,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f370,plain,
~ s0(d),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f388,plain,
~ q0(a,b),
inference(consistent_polarity_flipping,[],[f36]) ).
fof(f390,plain,
! [X0,X1] :
( ~ l1(X0,X0)
| ~ n0(X1,X0) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f469,plain,
! [X0] :
( ~ p0(X0,X0)
| ~ s1(X0) ),
inference(consistent_polarity_flipping,[],[f163]) ).
fof(f470,plain,
! [X2,X0,X1] :
( ~ s1(X0)
| q0(X0,X1)
| s1(X2) ),
inference(consistent_polarity_flipping,[],[f164]) ).
fof(f508,plain,
( s2(d)
| s1(a)
| s0(d) ),
inference(consistent_polarity_flipping,[],[f228]) ).
fof(f526,plain,
! [X0,X1] :
( ~ l3(X0,X0)
| ~ s2(X1)
| l1(X0,X0) ),
inference(consistent_polarity_flipping,[],[f258]) ).
fof(f591,plain,
l3(b,b),
inference(consistent_polarity_flipping,[],[f369]) ).
fof(f824,definition,
( spl0_60
<=> ! [X1] : s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f825,plain,
( ! [X1] : s1(X1)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f947,definition,
( spl0_91
<=> s2(d) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f948,plain,
( s2(d)
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f978,definition,
( spl0_98
<=> ! [X1] : ~ s2(X1) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f979,plain,
( ! [X1] : ~ s2(X1)
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f981,definition,
( spl0_99
<=> ! [X0] :
( ~ l3(X0,X0)
| l1(X0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f982,plain,
( ! [X0] :
( ~ l3(X0,X0)
| l1(X0,X0) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f983,plain,
( spl0_98
| spl0_99 ),
inference(avatar_split_clause,[],[f526,f981,f978]) ).
fof(f1098,definition,
( spl0_128
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f1102,definition,
( spl0_129
<=> s1(a) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f1104,plain,
( s1(a)
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1105,plain,
( spl0_128
| spl0_129
| spl0_91 ),
inference(avatar_split_clause,[],[f508,f947,f1102,f1098]) ).
fof(f1363,definition,
( spl0_194
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
fof(f1364,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1363]) ).
fof(f1379,definition,
( spl0_198
<=> ! [X0,X1] :
( ~ s1(X0)
| q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
fof(f1380,plain,
( ! [X0,X1] :
( ~ s1(X0)
| q0(X0,X1) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f1381,plain,
( spl0_60
| spl0_198 ),
inference(avatar_split_clause,[],[f470,f1379,f824]) ).
fof(f1790,plain,
~ spl0_128,
inference(avatar_split_clause,[],[f370,f1098]) ).
fof(f1793,plain,
( $false
| ~ spl0_91
| ~ spl0_98 ),
inference(backward_subsumption_resolution,[],[f948,f979]) ).
fof(f1794,plain,
( ~ spl0_91
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[],[f1793]) ).
fof(f1805,plain,
( $false
| ~ spl0_194 ),
inference(resolution,[],[f1364,f14]) ).
fof(f1806,plain,
~ spl0_194,
inference(avatar_contradiction_clause,[],[f1805]) ).
fof(f1879,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f469,f825]) ).
fof(f1880,plain,
( spl0_194
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1879,f824,f1363]) ).
fof(f1950,plain,
( l1(b,b)
| ~ spl0_99 ),
inference(resolution,[],[f982,f591]) ).
fof(f1951,plain,
( ! [X0] : ~ n0(X0,b)
| ~ spl0_99 ),
inference(resolution,[],[f1950,f390]) ).
fof(f1954,plain,
( $false
| ~ spl0_99 ),
inference(backward_subsumption_resolution,[],[f15,f1951]) ).
fof(f1957,plain,
~ spl0_99,
inference(avatar_contradiction_clause,[],[f1954]) ).
fof(f1958,plain,
( ! [X0] : q0(a,X0)
| ~ spl0_129
| ~ spl0_198 ),
inference(resolution,[],[f1104,f1380]) ).
fof(f1969,plain,
( $false
| ~ spl0_129
| ~ spl0_198 ),
inference(backward_subsumption_resolution,[],[f388,f1958]) ).
fof(f1972,plain,
( ~ spl0_129
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f1969]) ).
cnf(s43,plain,
( spl0_98
| spl0_99 ),
inference(sat_conversion,[],[f983]) ).
cnf(s59,plain,
( spl0_91
| spl0_128
| spl0_129 ),
inference(sat_conversion,[],[f1105]) ).
cnf(s91,plain,
( spl0_60
| spl0_198 ),
inference(sat_conversion,[],[f1381]) ).
cnf(s168,plain,
~ spl0_128,
inference(sat_conversion,[],[f1790]) ).
cnf(s170,plain,
( ~ spl0_91
| ~ spl0_98 ),
inference(sat_conversion,[],[f1794]) ).
cnf(s176,plain,
~ spl0_194,
inference(sat_conversion,[],[f1806]) ).
cnf(s212,plain,
( ~ spl0_60
| spl0_194 ),
inference(sat_conversion,[],[f1880]) ).
cnf(s238,plain,
~ spl0_99,
inference(sat_conversion,[],[f1957]) ).
cnf(s242,plain,
( ~ spl0_129
| ~ spl0_198 ),
inference(sat_conversion,[],[f1972]) ).
cnf(s244,plain,
~ spl0_60,
inference(rat,[],[s212,s176]) ).
cnf(s300,plain,
spl0_198,
inference(rat,[],[s91,s244]) ).
cnf(s301,plain,
~ spl0_129,
inference(rat,[],[s242,s300]) ).
cnf(s324,plain,
spl0_91,
inference(rat,[],[s59,s301,s168]) ).
cnf(s326,plain,
~ spl0_98,
inference(rat,[],[s170,s324]) ).
cnf(s332,plain,
$false,
inference(rat,[],[s43,s238,s326]) ).
fof(f1973,plain,
$false,
inference(avatar_sat_refutation,[],[s332]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN226-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 % Computer : n005.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.25 % DateTime : Mon Sep 28 15:38:31 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.30 Running first-order model finding
% 0.25/0.30 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
% 0.25/0.37 % (883338)Will run a generic schedule for satisfiability detection.
% 0.25/0.37 % (883344)% WARNING: option uhcvi not known.
% 0.25/0.37 % (883344)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3567270328:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.25/0.37 % (883344) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-883338-883344"...
% 0.25/0.37 % (883344)...printing done.
% 0.25/0.37 % (883343)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2019395374_2999 on theBenchmark for (2999ds/0Mi)
% 0.25/0.37 % (883347)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2614340037:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.25/0.37 % (883348)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2218654828:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.25/0.37 % (883346)dis+10_1_sil=32000:sp=arity:random_seed=559434524:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.25/0.37 % (883345)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3006688415:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.25/0.37 % (883349)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2091463637:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.25/0.37 % (883344)Refutation found. Thanks to Tanya!
% 0.25/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.37 % (883344)------------------------------
% 0.25/0.37 % (883344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.37 % (883344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.37 % (883344)CaDiCaL version: 2.1.3
% 0.25/0.37 % (883344)Termination reason: Refutation
% 0.25/0.37 % (883344)Time elapsed: 0.012 s
% 0.25/0.37 % (883344)Peak memory usage: 13 MB
% 0.25/0.37 % (883344)Instructions burned: 17 (million)
% 0.25/0.37 % (883338)Success in time 0.061 s
% 0.25/0.37 % Vampire exiting
%------------------------------------------------------------------------------