%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN230-1 : 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 : n013.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 0.26s 0.35s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of formulae : 65 ( 22 unt; 10 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 118 ( 60 ~; 48 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 11 prp; 0-2 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/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(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
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] :
( ~ 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(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,
~ l3(c,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f602,definition,
( spl0_60
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f603,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f725,definition,
( spl0_91
<=> s2(d) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f726,plain,
( s2(d)
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f738,definition,
( spl0_94
<=> l3(c,c) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f739,plain,
( ~ l3(c,c)
| spl0_94 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f756,definition,
( spl0_98
<=> ! [X1] : ~ s2(X1) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f757,plain,
( ! [X1] : ~ s2(X1)
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f759,definition,
( spl0_99
<=> ! [X0] :
( l3(X0,X0)
| ~ l1(X0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f760,plain,
( ! [X0] :
( ~ l1(X0,X0)
| l3(X0,X0) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f761,plain,
( spl0_98
| spl0_99 ),
inference(avatar_split_clause,[],[f258,f759,f756]) ).
fof(f876,definition,
( spl0_128
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f880,definition,
( spl0_129
<=> s1(a) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f883,plain,
( ~ spl0_128
| ~ spl0_129
| spl0_91 ),
inference(avatar_split_clause,[],[f228,f725,f880,f876]) ).
fof(f1141,definition,
( spl0_194
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
fof(f1142,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1157,definition,
( spl0_198
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
fof(f1158,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f1159,plain,
( spl0_60
| spl0_198 ),
inference(avatar_split_clause,[],[f164,f1157,f602]) ).
fof(f1528,definition,
( spl0_287
<=> l1(c,c) ),
introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).
fof(f1529,plain,
( l1(c,c)
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f1568,plain,
spl0_128,
inference(avatar_split_clause,[],[f1,f876]) ).
fof(f1569,plain,
~ spl0_94,
inference(avatar_split_clause,[],[f369,f738]) ).
fof(f1578,plain,
( $false
| ~ spl0_194 ),
inference(resolution,[],[f1142,f14]) ).
fof(f1579,plain,
~ spl0_194,
inference(avatar_contradiction_clause,[],[f1578]) ).
fof(f1652,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f163,f603]) ).
fof(f1653,plain,
( spl0_194
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1652,f602,f1141]) ).
fof(f1665,plain,
( s1(a)
| ~ spl0_198 ),
inference(resolution,[],[f1158,f36]) ).
fof(f1674,plain,
( $false
| ~ spl0_91
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f726,f757]) ).
fof(f1675,plain,
( ~ spl0_91
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[],[f1674]) ).
fof(f1676,plain,
( spl0_129
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f1665,f1157,f880]) ).
fof(f1716,plain,
l1(c,c),
inference(resolution,[],[f40,f26]) ).
fof(f1730,plain,
spl0_287,
inference(avatar_split_clause,[],[f1716,f1528]) ).
fof(f1783,plain,
( l3(c,c)
| ~ spl0_99
| ~ spl0_287 ),
inference(resolution,[],[f760,f1529]) ).
fof(f1784,plain,
( $false
| spl0_94
| ~ spl0_99
| ~ spl0_287 ),
inference(forward_subsumption_resolution,[],[f1783,f739]) ).
fof(f1785,plain,
( spl0_94
| ~ spl0_99
| ~ spl0_287 ),
inference(avatar_contradiction_clause,[],[f1784]) ).
cnf(s43,plain,
( spl0_98
| spl0_99 ),
inference(sat_conversion,[],[f761]) ).
cnf(s59,plain,
( spl0_91
| ~ spl0_128
| ~ spl0_129 ),
inference(sat_conversion,[],[f883]) ).
cnf(s91,plain,
( spl0_60
| spl0_198 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s168,plain,
spl0_128,
inference(sat_conversion,[],[f1568]) ).
cnf(s169,plain,
~ spl0_94,
inference(sat_conversion,[],[f1569]) ).
cnf(s174,plain,
~ spl0_194,
inference(sat_conversion,[],[f1579]) ).
cnf(s210,plain,
( ~ spl0_60
| spl0_194 ),
inference(sat_conversion,[],[f1653]) ).
cnf(s216,plain,
( ~ spl0_91
| ~ spl0_98 ),
inference(sat_conversion,[],[f1675]) ).
cnf(s217,plain,
( spl0_129
| ~ spl0_198 ),
inference(sat_conversion,[],[f1676]) ).
cnf(s237,plain,
spl0_287,
inference(sat_conversion,[],[f1730]) ).
cnf(s258,plain,
( spl0_94
| ~ spl0_99
| ~ spl0_287 ),
inference(sat_conversion,[],[f1785]) ).
cnf(s262,plain,
~ spl0_60,
inference(rat,[],[s210,s174]) ).
cnf(s263,plain,
~ spl0_99,
inference(rat,[],[s258,s237,s169]) ).
cnf(s322,plain,
spl0_198,
inference(rat,[],[s91,s262]) ).
cnf(s325,plain,
spl0_129,
inference(rat,[],[s217,s322]) ).
cnf(s347,plain,
spl0_91,
inference(rat,[],[s59,s325,s168]) ).
cnf(s349,plain,
~ spl0_98,
inference(rat,[],[s216,s347]) ).
cnf(s358,plain,
$false,
inference(rat,[],[s43,s263,s349]) ).
fof(f1787,plain,
$false,
inference(avatar_sat_refutation,[],[s358]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN230-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.25 % Computer : n013.cluster.edu
% 0.13/0.25 % Model : x86_64 x86_64
% 0.13/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.25 % Memory : 8046.5625MB
% 0.13/0.25 % OS : Linux 6.8.0-71-generic
% 0.13/0.25 % CPULimit : 300
% 0.13/0.25 % WCLimit : 300
% 0.13/0.25 % DateTime : Mon Sep 28 15:38:22 UTC 2026
% 0.13/0.25 % CPUTime :
% 0.13/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.28 Running first-order model finding
% 0.13/0.28 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
% 0.26/0.35 % (1282437)Will run a generic schedule for satisfiability detection.
% 0.26/0.35 % (1282456)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=463383518_2999 on theBenchmark for (2999ds/0Mi)
% 0.26/0.35 % (1282457)% WARNING: option uhcvi not known.
% 0.26/0.35 % (1282458)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4240738672:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.26/0.35 % (1282461)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2940313145:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.26/0.35 % (1282459)dis+10_1_sil=32000:sp=arity:random_seed=4135019640:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.26/0.35 % (1282460)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3714575160:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.26/0.35 % (1282462)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=824451367:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.26/0.35 % (1282457)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=293749602:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.26/0.35 % Detected minimum model sizes of [1]
% 0.26/0.35 % Detected maximum model sizes of [5]
% 0.26/0.35 % TRYING [1]
% 0.26/0.35 % TRYING [2]
% 0.26/0.35 % TRYING [3]
% 0.26/0.35 % (1282458) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1282437-1282458"...
% 0.26/0.35 % (1282459) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1282437-1282459"...
% 0.26/0.35 % TRYING [4]
% 0.26/0.35 % (1282459)...printing done.
% 0.26/0.35 % (1282461) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1282437-1282461"...
% 0.26/0.35 % (1282458)...printing done.
% 0.26/0.35 % (1282459)Refutation found. Thanks to Tanya!
% 0.26/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.26/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.35 % (1282459)------------------------------
% 0.26/0.35 % (1282459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.35 % (1282459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.35 % (1282459)CaDiCaL version: 2.1.3
% 0.26/0.35 % (1282459)Termination reason: Refutation
% 0.26/0.35 % (1282459)Time elapsed: 0.012 s
% 0.26/0.35 % (1282459)Peak memory usage: 13 MB
% 0.26/0.35 % (1282459)Instructions burned: 16 (million)
% 0.26/0.35 % (1282437)Success in time 0.06 s
% 0.26/0.35 % Vampire exiting
%------------------------------------------------------------------------------