%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN123-1 : 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 : n004.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 02:06:49 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 17 unt; 6 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 84 ( 43 ~; 35 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 7 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(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(f171,axiom,
! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_133) ).
fof(f369,negated_conjecture,
~ l2(d,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f446,definition,
( spl0_12
<=> ! [X0] : s1(X0) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f447,plain,
( ! [X0] : s1(X0)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f449,definition,
( spl0_13
<=> ! [X0] : ~ p0(X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f450,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f451,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f452,plain,
( $false
| ~ spl0_13 ),
inference(resolution,[],[f450,f14]) ).
fof(f453,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f1059,definition,
( spl0_83
<=> ! [X2] : ~ s1(X2) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f1060,plain,
( ! [X2] : ~ s1(X2)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1062,definition,
( spl0_84
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f1063,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1064,plain,
( spl0_83
| spl0_84 ),
inference(avatar_split_clause,[],[f164,f1062,f1059]) ).
fof(f1072,plain,
( ! [X0] : s1(X0)
| ~ spl0_84 ),
inference(resolution,[],[f1063,f17]) ).
fof(f1081,plain,
( spl0_12
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1072,f1062,f446]) ).
fof(f1791,plain,
( $false
| ~ spl0_83 ),
inference(resolution,[],[f1060,f451]) ).
fof(f1794,plain,
~ spl0_83,
inference(avatar_contradiction_clause,[],[f1791]) ).
fof(f1817,plain,
( ! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ m0(X3,X2,X0) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f171,f447]) ).
fof(f1834,definition,
( spl0_172
<=> ! [X0] : l2(X0,X0) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
fof(f1835,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f1834]) ).
fof(f1837,definition,
( spl0_173
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
fof(f1838,plain,
( ! [X2,X3,X0] :
( ~ m0(X3,X2,X0)
| l2(X0,X0) )
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f1837]) ).
fof(f1839,plain,
( spl0_13
| spl0_173
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1817,f446,f1837,f449]) ).
fof(f1840,plain,
( $false
| ~ spl0_172 ),
inference(resolution,[],[f1835,f369]) ).
fof(f1844,plain,
~ spl0_172,
inference(avatar_contradiction_clause,[],[f1840]) ).
fof(f1845,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_173 ),
inference(resolution,[],[f1838,f19]) ).
fof(f1859,plain,
( spl0_172
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1845,f1837,f1834]) ).
cnf(s451,plain,
~ spl0_13,
inference(sat_conversion,[],[f453]) ).
cnf(s991,plain,
( spl0_83
| spl0_84 ),
inference(sat_conversion,[],[f1064]) ).
cnf(s1016,plain,
( spl0_12
| ~ spl0_84 ),
inference(sat_conversion,[],[f1081]) ).
cnf(s1540,plain,
~ spl0_83,
inference(sat_conversion,[],[f1794]) ).
cnf(s1574,plain,
( ~ spl0_12
| spl0_13
| spl0_173 ),
inference(sat_conversion,[],[f1839]) ).
cnf(s1579,plain,
~ spl0_172,
inference(sat_conversion,[],[f1844]) ).
cnf(s1595,plain,
( spl0_172
| ~ spl0_173 ),
inference(sat_conversion,[],[f1859]) ).
cnf(s1596,plain,
~ spl0_173,
inference(rat,[],[s1595,s1579]) ).
cnf(s1597,plain,
( ~ spl0_12
| spl0_13 ),
inference(rat,[],[s1574,s1596]) ).
cnf(s1600,plain,
spl0_84,
inference(rat,[],[s991,s1540]) ).
cnf(s1601,plain,
spl0_12,
inference(rat,[],[s1016,s1600]) ).
cnf(s1603,plain,
spl0_13,
inference(rat,[],[s1597,s1601]) ).
cnf(s1622,plain,
$false,
inference(rat,[],[s451,s1603]) ).
fof(f1860,plain,
$false,
inference(avatar_sat_refutation,[],[s1622]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN123-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.16 % Computer : n004.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Mon Sep 28 15:36:07 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 Running first-order model finding
% 0.08/0.19 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
% 0.08/0.25 % (466983)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (466990)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2636196873:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.25 % (466989)% WARNING: option uhcvi not known.
% 0.08/0.25 % (466991)dis+10_1_sil=32000:sp=arity:random_seed=1008352083:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.25 % (466989)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2679841081:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.25 % (466992)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=630229370:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.25 % (466994)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3045018023:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.25 % (466993)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1980448360:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.25 % (466990) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-466983-466990"...
% 0.08/0.25 % (466990)...printing done.
% 0.08/0.25 % (466990)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (466990)------------------------------
% 0.08/0.25 % (466990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (466990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (466990)CaDiCaL version: 2.1.3
% 0.08/0.25 % (466990)Termination reason: Refutation
% 0.08/0.25 % (466990)Time elapsed: 0.016 s
% 0.08/0.25 % (466990)Peak memory usage: 13 MB
% 0.08/0.25 % (466990)Instructions burned: 41 (million)
% 0.08/0.25 % (466983)Success in time 0.052 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------