%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN313-1.001.002 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 02:07:16 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.32s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 8 unt; 2 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 88 ( 34 ~; 52 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 50 ( 0 sgn 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] :
( ~ p(X0,f1(X1),X2)
| ~ p(X0,f0(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X2,X0,X1] :
( p(h2(X2),X1,j2(X1))
| p(h1(X0),X2,j1(X1))
| p(h0,X0,j0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ p(h1(X0),f0(h1(X0)),X1)
| p(h0,X0,j0(X2))
| p(h2(f1(X1)),X2,j2(X2)) ),
inference(resolution,[],[f2,f1]) ).
fof(f47,plain,
! [X2,X0,X1] :
( p(h2(f1(j1(X2))),X1,j2(X1))
| p(h2(f0(h1(X0))),X2,j2(X2))
| p(h0,X0,j0(X1))
| p(h0,X0,j0(X2)) ),
inference(resolution,[],[f22,f2]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ p(h2(f1(j1(X0))),f0(h2(f1(j1(X0)))),X1)
| p(h0,X2,j0(f1(X1)))
| p(h0,X2,j0(X0))
| p(h2(f0(h1(X2))),X0,j2(X0)) ),
inference(resolution,[],[f47,f1]) ).
fof(f141,plain,
! [X2,X0,X1] :
( p(h2(f1(j1(X2))),X1,j2(X1))
| p(h2(f0(h1(f1(X0)))),X2,j2(X2))
| p(h0,f1(X0),j0(X2))
| ~ p(h0,f0(h0),X0) ),
inference(resolution,[],[f47,f1]) ).
fof(f142,plain,
! [X2,X0,X1] :
( p(h2(f0(h1(f1(X0)))),X2,j2(X2))
| p(h2(f1(j1(X2))),X1,j2(X1))
| ~ p(h0,f0(h0),X0) ),
inference(forward_subsumption_resolution,[],[f141,f1]) ).
fof(f153,definition,
( spl0_19
<=> ! [X0] : ~ p(h0,f0(h0),X0) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f154,plain,
( ! [X0] : ~ p(h0,f0(h0),X0)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ p(h2(f1(j1(X0))),f0(h2(f1(j1(X0)))),X1)
| ~ p(h0,f0(h0),X2)
| p(h2(f0(h1(f1(X2)))),X0,j2(X0)) ),
inference(resolution,[],[f142,f1]) ).
fof(f170,plain,
! [X2,X0,X1] :
( p(h0,X0,j0(f1(j2(f0(h2(f1(j1(X1))))))))
| p(h0,X2,j0(f0(h2(f1(j1(X1))))))
| p(h2(f0(h1(X2))),X1,j2(X1))
| p(h2(f0(h1(X0))),X1,j2(X1))
| p(h0,X0,j0(X1))
| p(h0,X2,j0(X1)) ),
inference(resolution,[],[f138,f47]) ).
fof(f622,plain,
( ! [X0,X1] :
( p(h0,X1,j0(f0(h2(f1(j1(X0))))))
| p(h2(f0(h1(X1))),X0,j2(X0))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h0,f0(h0),j0(X0))
| p(h0,X1,j0(X0)) )
| ~ spl0_19 ),
inference(resolution,[],[f170,f154]) ).
fof(f633,plain,
( ! [X0,X1] :
( p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h0,X1,j0(f0(h2(f1(j1(X0))))))
| p(h2(f0(h1(X1))),X0,j2(X0))
| p(h0,X1,j0(X0)) )
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f622,f154]) ).
fof(f635,definition,
( spl0_53
<=> ! [X0] : p(h2(f0(h1(f0(h0)))),X0,j2(X0)) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f636,plain,
( ! [X0] : p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f640,plain,
( ! [X0] :
( p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h0,f0(h0),j0(X0)) )
| ~ spl0_19 ),
inference(resolution,[],[f633,f154]) ).
fof(f646,plain,
( ! [X0] :
( p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h0,f0(h0),j0(X0)) )
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f640]) ).
fof(f648,plain,
( ! [X0] : p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f646,f154]) ).
fof(f652,plain,
( ! [X0] : ~ p(h2(f0(h1(f0(h0)))),f0(h2(f0(h1(f0(h0))))),X0)
| ~ spl0_53 ),
inference(resolution,[],[f636,f1]) ).
fof(f656,plain,
( $false
| ~ spl0_53 ),
inference(resolution,[],[f652,f636]) ).
fof(f662,plain,
~ spl0_53,
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f667,plain,
( spl0_53
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f648,f153,f635]) ).
fof(f717,plain,
! [X2,X0,X1] :
( p(h2(f0(h1(f1(X2)))),X1,j2(X1))
| p(h2(f0(h1(f1(X0)))),X1,j2(X1))
| ~ p(h0,f0(h0),X0)
| ~ p(h0,f0(h0),X2) ),
inference(resolution,[],[f158,f142]) ).
fof(f773,plain,
! [X0,X1] :
( p(h2(f0(h1(f1(X0)))),X1,j2(X1))
| ~ p(h0,f0(h0),X0)
| ~ p(h0,f0(h0),X0) ),
inference(factoring,[],[f717]) ).
fof(f774,plain,
! [X0,X1] :
( p(h2(f0(h1(f1(X0)))),X1,j2(X1))
| ~ p(h0,f0(h0),X0) ),
inference(duplicate_literal_removal,[],[f773]) ).
fof(f784,plain,
! [X0,X1] :
( ~ p(h2(f0(h1(f1(X0)))),f0(h2(f0(h1(f1(X0))))),X1)
| ~ p(h0,f0(h0),X0) ),
inference(resolution,[],[f774,f1]) ).
fof(f788,plain,
! [X0] :
( ~ p(h0,f0(h0),X0)
| ~ p(h0,f0(h0),X0) ),
inference(resolution,[],[f784,f774]) ).
fof(f800,plain,
! [X0] : ~ p(h0,f0(h0),X0),
inference(duplicate_literal_removal,[],[f788]) ).
fof(f813,plain,
spl0_19,
inference(avatar_split_clause,[],[f800,f153]) ).
cnf(s562,plain,
~ spl0_53,
inference(sat_conversion,[],[f662]) ).
cnf(s567,plain,
( ~ spl0_19
| spl0_53 ),
inference(sat_conversion,[],[f667]) ).
cnf(s705,plain,
spl0_19,
inference(sat_conversion,[],[f813]) ).
cnf(s706,plain,
spl0_53,
inference(rat,[],[s567,s705]) ).
cnf(s708,plain,
$false,
inference(rat,[],[s562,s706]) ).
fof(f814,plain,
$false,
inference(avatar_sat_refutation,[],[s708]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN313-1.001.002 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n006.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 15:40:40 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.26 Running first-order model finding
% 0.09/0.26 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
% 0.24/0.32 % (4074101)Will run a generic schedule for satisfiability detection.
% 0.24/0.32 % (4074108)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2499736950:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.32 % (4074106)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2286888714_2999 on theBenchmark for (2999ds/0Mi)
% 0.24/0.32 % TRYING [1]
% 0.24/0.32 % TRYING [2]
% 0.24/0.32 % TRYING [3]
% 0.24/0.32 % (4074107)% WARNING: option uhcvi not known.
% 0.24/0.32 % (4074107)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3389745428:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/0.32 % (4074110)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2552685527:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.24/0.32 % (4074109)dis+10_1_sil=32000:sp=arity:random_seed=1154265968:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.32 % (4074111)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1751740845:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.24/0.32 % (4074112)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1398049223:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.24/0.32 % (4074108) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4074101-4074108"...
% 0.24/0.32 % (4074108)...printing done.
% 0.24/0.32 % (4074107) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4074101-4074107"...
% 0.24/0.32 % (4074108)Refutation found. Thanks to Tanya!
% 0.24/0.32 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.32 % (4074108)------------------------------
% 0.24/0.32 % (4074108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32 % (4074108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32 % (4074108)CaDiCaL version: 2.1.3
% 0.24/0.32 % (4074108)Termination reason: Refutation
% 0.24/0.32 % (4074108)Time elapsed: 0.021 s
% 0.24/0.32 % (4074108)Peak memory usage: 12 MB
% 0.24/0.32 % (4074108)Instructions burned: 36 (million)
% 0.24/0.32 % (4074101)Success in time 0.045 s
% 0.24/0.32 % Vampire exiting
%------------------------------------------------------------------------------