%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU355+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 12:52:59 PM UTC 2026
% Result : Theorem 1.91s 0.87s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 10 unt; 2 def)
% Number of atoms : 116 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 129 ( 54 ~; 50 |; 4 &)
% ( 9 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 47 ( 0 sgn 45 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f89,axiom,
! [X0] :
( X0 = empty_set
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f145,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( element(X2,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X1)
=> related(X0,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattice3) ).
fof(f153,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( element(X2,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X1)
=> related(X0,X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_lattice3) ).
fof(f643,conjecture,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ( relstr_set_smaller(X0,empty_set,X1)
& relstr_element_smaller(X0,empty_set,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_yellow_0) ).
fof(f644,negated_conjecture,
~ ! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ( relstr_set_smaller(X0,empty_set,X1)
& relstr_element_smaller(X0,empty_set,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f643]) ).
fof(f905,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f145]) ).
fof(f906,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f905]) ).
fof(f918,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_set_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X3,X2)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f153]) ).
fof(f919,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_set_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X3,X2)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f918]) ).
fof(f1484,plain,
? [X0] :
( ? [X1] :
( ( ~ relstr_set_smaller(X0,empty_set,X1)
| ~ relstr_element_smaller(X0,empty_set,X1) )
& element(X1,the_carrier(X0)) )
& rel_str(X0) ),
inference(ennf_transformation,[],[f644]) ).
fof(f1774,plain,
! [X0,X1] :
( ~ in(X1,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f89]) ).
fof(f1981,plain,
! [X2,X0,X1] :
( ~ rel_str(X0)
| ~ element(X2,the_carrier(X0))
| in(sK101(X0,X1,X2),X1)
| relstr_element_smaller(X0,X1,X2) ),
inference(cnf_transformation,[],[f906]) ).
fof(f2011,plain,
! [X2,X0,X1] :
( ~ rel_str(X0)
| ~ element(X2,the_carrier(X0))
| in(sK112(X0,X1,X2),X1)
| relstr_set_smaller(X0,X1,X2) ),
inference(cnf_transformation,[],[f919]) ).
fof(f3636,plain,
( ~ relstr_element_smaller(sK472,empty_set,sK473)
| ~ relstr_set_smaller(sK472,empty_set,sK473) ),
inference(cnf_transformation,[],[f1484]) ).
fof(f3637,plain,
element(sK473,the_carrier(sK472)),
inference(cnf_transformation,[],[f1484]) ).
fof(f3638,plain,
rel_str(sK472),
inference(cnf_transformation,[],[f1484]) ).
fof(f4712,plain,
! [X1] : ~ in(X1,empty_set),
inference(equality_resolution,[],[f1774]) ).
fof(f5246,plain,
! [X2,X0,X1] :
( ~ relstr_element_smaller(X0,X1,X2)
| element(X2,the_carrier(X0))
| in(sK101(X0,X1,X2),X1)
| ~ rel_str(X0) ),
inference(consistent_polarity_flipping,[],[f1981]) ).
fof(f5269,plain,
! [X2,X0,X1] :
( ~ relstr_set_smaller(X0,X1,X2)
| element(X2,the_carrier(X0))
| in(sK112(X0,X1,X2),X1)
| ~ rel_str(X0) ),
inference(consistent_polarity_flipping,[],[f2011]) ).
fof(f6371,plain,
~ element(sK473,the_carrier(sK472)),
inference(consistent_polarity_flipping,[],[f3637]) ).
fof(f6372,plain,
( relstr_element_smaller(sK472,empty_set,sK473)
| relstr_set_smaller(sK472,empty_set,sK473) ),
inference(consistent_polarity_flipping,[],[f3636]) ).
fof(f6400,definition,
( spl477_1
<=> relstr_set_smaller(sK472,empty_set,sK473) ),
introduced(definition,[new_symbols(definition,[spl477_1])],[avatar_definition]) ).
fof(f6402,plain,
( relstr_set_smaller(sK472,empty_set,sK473)
| ~ spl477_1 ),
inference(avatar_component_clause,[],[f6400]) ).
fof(f6404,definition,
( spl477_2
<=> relstr_element_smaller(sK472,empty_set,sK473) ),
introduced(definition,[new_symbols(definition,[spl477_2])],[avatar_definition]) ).
fof(f6406,plain,
( relstr_element_smaller(sK472,empty_set,sK473)
| ~ spl477_2 ),
inference(avatar_component_clause,[],[f6404]) ).
fof(f6407,plain,
( spl477_1
| spl477_2 ),
inference(avatar_split_clause,[],[f6372,f6404,f6400]) ).
fof(f18566,plain,
( element(sK473,the_carrier(sK472))
| in(sK101(sK472,empty_set,sK473),empty_set)
| ~ rel_str(sK472)
| ~ spl477_2 ),
inference(resolution,[],[f5246,f6406]) ).
fof(f18567,plain,
( in(sK101(sK472,empty_set,sK473),empty_set)
| ~ rel_str(sK472)
| ~ spl477_2 ),
inference(forward_subsumption_resolution,[],[f18566,f6371]) ).
fof(f18568,plain,
( ~ rel_str(sK472)
| ~ spl477_2 ),
inference(forward_subsumption_resolution,[],[f18567,f4712]) ).
fof(f18569,plain,
( $false
| ~ spl477_2 ),
inference(forward_subsumption_resolution,[],[f18568,f3638]) ).
fof(f18570,plain,
~ spl477_2,
inference(avatar_contradiction_clause,[],[f18569]) ).
fof(f18581,plain,
( element(sK473,the_carrier(sK472))
| in(sK112(sK472,empty_set,sK473),empty_set)
| ~ rel_str(sK472)
| ~ spl477_1 ),
inference(resolution,[],[f5269,f6402]) ).
fof(f18582,plain,
( in(sK112(sK472,empty_set,sK473),empty_set)
| ~ rel_str(sK472)
| ~ spl477_1 ),
inference(forward_subsumption_resolution,[],[f18581,f6371]) ).
fof(f18583,plain,
( ~ rel_str(sK472)
| ~ spl477_1 ),
inference(forward_subsumption_resolution,[],[f18582,f4712]) ).
fof(f18584,plain,
( $false
| ~ spl477_1 ),
inference(forward_subsumption_resolution,[],[f18583,f3638]) ).
fof(f18585,plain,
~ spl477_1,
inference(avatar_contradiction_clause,[],[f18584]) ).
cnf(s1,plain,
( spl477_1
| spl477_2 ),
inference(sat_conversion,[],[f6407]) ).
cnf(s444,plain,
~ spl477_2,
inference(sat_conversion,[],[f18570]) ).
cnf(s445,plain,
~ spl477_1,
inference(sat_conversion,[],[f18585]) ).
cnf(s454,plain,
$false,
inference(rat,[],[s1,s444,s445]) ).
fof(f18586,plain,
$false,
inference(avatar_sat_refutation,[],[s454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU355+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n016.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 04:58:18 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.42 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
% 1.91/0.87 % (3265862)Will run a generic schedule for satisfiability detection.
% 1.91/0.87 % (3265871)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1209623653:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.91/0.87 % (3265868)% WARNING: option uhcvi not known.
% 1.91/0.87 % (3265867)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2750013349_2999 on theBenchmark for (2999ds/0Mi)
% 1.91/0.87 % (3265868)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1804725268:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.91/0.87 % (3265869)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=490018273:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.91/0.87 % (3265870)dis+10_1_sil=32000:sp=arity:random_seed=294742515:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.91/0.87 % (3265872)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3743384627:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.91/0.87 % (3265873)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=58533733:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.91/0.87 % (3265871)Instruction limit reached!
% 1.91/0.87 % (3265871)------------------------------
% 1.91/0.87 % (3265871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.87 % (3265871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.87 % (3265871)CaDiCaL version: 2.1.3
% 1.91/0.87 % (3265871)Termination reason: Instruction limit
% 1.91/0.87 % (3265871)Termination phase: Blocked clause elimination
% 1.91/0.87 % (3265871)Time elapsed: 0.032 s
% 1.91/0.87 % (3265871)Peak memory usage: 14 MB
% 1.91/0.87 % (3265871)Instructions burned: 117 (million)
% 1.91/0.87 % (3265881)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1466848005:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.91/0.87 % (3265870)Instruction limit reached!
% 1.91/0.87 % (3265870)------------------------------
% 1.91/0.87 % (3265870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.87 % (3265870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.87 % (3265870)CaDiCaL version: 2.1.3
% 1.91/0.87 % (3265870)Termination reason: Instruction limit
% 1.91/0.87 % (3265870)Termination phase: Saturation
% 1.91/0.87 % (3265870)Time elapsed: 0.056 s
% 1.91/0.87 % (3265870)Peak memory usage: 15 MB
% 1.91/0.87 % (3265870)Instructions burned: 103 (million)
% 1.91/0.87 % (3265872)Instruction limit reached!
% 1.91/0.87 % (3265872)------------------------------
% 1.91/0.87 % (3265872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.87 % (3265872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.87 % (3265872)CaDiCaL version: 2.1.3
% 1.91/0.87 % (3265872)Termination reason: Instruction limit
% 1.91/0.87 % (3265872)Termination phase: Saturation
% 1.91/0.87 % (3265872)Time elapsed: 0.073 s
% 1.91/0.87 % (3265872)Peak memory usage: 15 MB
% 1.91/0.87 % (3265872)Instructions burned: 132 (million)
% 1.91/0.87 % (3265883)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1528864300:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.91/0.87 % (3265873)Instruction limit reached!
% 1.91/0.87 % (3265873)------------------------------
% 1.91/0.87 % (3265873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.87 % (3265873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.87 % (3265873)CaDiCaL version: 2.1.3
% 1.91/0.87 % (3265873)Termination reason: Instruction limit
% 1.91/0.87 % (3265873)Termination phase: Saturation
% 1.91/0.87 % (3265873)Time elapsed: 0.092 s
% 1.91/0.87 % (3265873)Peak memory usage: 17 MB
% 1.91/0.87 % (3265873)Instructions burned: 160 (million)
% 1.91/0.87 % (3265884)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1081213657:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.91/0.87 % (3265887)ott-21_1_sil=16000:fs=off:random_seed=1362034211:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.91/0.87 % TRYING [1]
% 1.91/0.87 % TRYING [2]
% 1.91/0.87 % (3265883)Instruction limit reached!
% 1.91/0.87 % (3265883)------------------------------
% 1.91/0.87 % (3265883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.87 % (3265883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.87 % (3265883)CaDiCaL version: 2.1.3
% 1.91/0.87 % (3265883)Termination reason: Instruction limit
% 1.91/0.87 % (3265883)Termination phase: Saturation
% 1.91/0.87 % (3265883)Time elapsed: 0.068 s
% 1.91/0.87 % (3265883)Peak memory usage: 15 MB
% 1.91/0.87 % (3265883)Instructions burned: 131 (million)
% 1.91/0.87 % (3265889)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1597063045:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.91/0.87 % TRYING [3]
% 1.91/0.87 % (3265881)Instruction limit reached!
% 1.91/0.87 % (3265881)------------------------------
% 1.91/0.87 % (3265881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.87 % (3265881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.87 % (3265881)CaDiCaL version: 2.1.3
% 1.91/0.87 % (3265881)Termination reason: Instruction limit
% 1.91/0.87 % (3265881)Termination phase: Finite model building constraint generation
% 1.91/0.87 % (3265881)Time elapsed: 0.167 s
% 1.91/0.87 % (3265881)Peak memory usage: 32 MB
% 1.91/0.87 % (3265881)Instructions burned: 720 (million)
% 1.91/0.87 % (3265887)Instruction limit reached!
% 1.91/0.87 % (3265887)------------------------------
% 1.91/0.87 % (3265887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.87 % (3265887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.87 % (3265887)CaDiCaL version: 2.1.3
% 1.91/0.87 % (3265887)Termination reason: Instruction limit
% 1.91/0.87 % (3265887)Termination phase: Saturation
% 1.91/0.87 % (3265887)Time elapsed: 0.093 s
% 1.91/0.87 % (3265887)Peak memory usage: 16 MB
% 1.91/0.87 % (3265887)Instructions burned: 180 (million)
% 1.91/0.87 % (3265891)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=839804372:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.91/0.87 % (3265892)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2274177883:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.91/0.87 % TRYING [1]
% 1.91/0.87 % TRYING [2]
% 1.91/0.87 % TRYING [1]
% 1.91/0.87 % TRYING [2]
% 1.91/0.87 % TRYING [3]
% 1.91/0.87 % (3265868) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3265862-3265868"...
% 1.91/0.87 % (3265868)...printing done.
% 1.91/0.87 % (3265868)Refutation found. Thanks to Tanya!
% 1.91/0.87 % SZS status Theorem for theBenchmark
% 1.91/0.87 % SZS output start Proof for theBenchmark
% See solution above
% 1.91/0.87 % (3265868)------------------------------
% 1.91/0.87 % (3265868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.87 % (3265868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.87 % (3265868)CaDiCaL version: 2.1.3
% 1.91/0.87 % (3265868)Termination reason: Refutation
% 1.91/0.87 % (3265868)Time elapsed: 0.384 s
% 1.91/0.87 % (3265868)Peak memory usage: 21 MB
% 1.91/0.87 % (3265868)Instructions burned: 611 (million)
% 1.91/0.87 % (3265862)Success in time 0.445 s
% 1.91/0.87 % Vampire exiting
%------------------------------------------------------------------------------