%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU264+1 : 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 : n012.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 12:52:38 PM UTC 2026
% Result : Theorem 0.09s 0.36s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 12 unt; 2 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 82 ( 34 ~; 31 |; 7 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 69 ( 0 sgn 61 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_dom(X2),X0)
& subset(relation_rng(X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_relset_1) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_relset_1) ).
fof(f16,conjecture,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_relset_1) ).
fof(f17,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( subset(relation_dom(X2),X0)
& subset(relation_rng(X2),X1) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X1)
| ~ subset(relation_rng(X3),X1)
| ~ relation_of2_as_subset(X3,X2,X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X1)
| ~ subset(relation_rng(X3),X1)
| ~ relation_of2_as_subset(X3,X2,X0) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(X0,X1)
& relation_of2_as_subset(X3,X2,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f27,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(X0,X1)
& relation_of2_as_subset(X3,X2,X0) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f29,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(flattening,[],[f28]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| subset(relation_rng(X2),X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f39,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(X3,X2,X0)
| ~ subset(relation_rng(X3),X1)
| relation_of2_as_subset(X3,X2,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f40,plain,
relation_of2_as_subset(sK6,sK5,sK3),
inference(cnf_transformation,[],[f27]) ).
fof(f41,plain,
subset(sK3,sK4),
inference(cnf_transformation,[],[f27]) ).
fof(f42,plain,
~ relation_of2_as_subset(sK6,sK5,sK4),
inference(cnf_transformation,[],[f27]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ subset(relation_rng(X2),X1)
| relation_of2_as_subset(X2,X0,X1) ),
inference(consistent_polarity_flipping,[],[f37]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(X3,X2,X1)
| subset(relation_rng(X3),X1)
| relation_of2_as_subset(X3,X2,X0) ),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f55,plain,
relation_of2_as_subset(sK6,sK5,sK4),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f56,plain,
~ subset(sK3,sK4),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f57,plain,
~ relation_of2_as_subset(sK6,sK5,sK3),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ subset(X0,X2)
| subset(X0,X1)
| subset(X1,X2) ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f66,plain,
! [X0] :
( subset(relation_rng(sK6),sK4)
| relation_of2_as_subset(sK6,sK5,X0) ),
inference(resolution,[],[f54,f55]) ).
fof(f68,definition,
( spl7_1
<=> ! [X0] : relation_of2_as_subset(sK6,sK5,X0) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f69,plain,
( ! [X0] : relation_of2_as_subset(sK6,sK5,X0)
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f71,definition,
( spl7_2
<=> subset(relation_rng(sK6),sK4) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f73,plain,
( subset(relation_rng(sK6),sK4)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,plain,
( spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f66,f71,f68]) ).
fof(f76,plain,
( ! [X0] :
( subset(relation_rng(sK6),X0)
| subset(X0,sK4) )
| ~ spl7_2 ),
inference(resolution,[],[f73,f58]) ).
fof(f78,plain,
( ! [X0,X1] :
( relation_of2_as_subset(sK6,X1,X0)
| subset(X0,sK4) )
| ~ spl7_2 ),
inference(resolution,[],[f76,f53]) ).
fof(f82,plain,
( subset(sK3,sK4)
| ~ spl7_2 ),
inference(resolution,[],[f78,f57]) ).
fof(f84,plain,
( $false
| ~ spl7_2 ),
inference(forward_subsumption_resolution,[],[f82,f56]) ).
fof(f85,plain,
~ spl7_2,
inference(avatar_contradiction_clause,[],[f84]) ).
fof(f86,plain,
( $false
| ~ spl7_1 ),
inference(backward_subsumption_resolution,[],[f57,f69]) ).
fof(f88,plain,
~ spl7_1,
inference(avatar_contradiction_clause,[],[f86]) ).
cnf(s1,plain,
( spl7_1
| spl7_2 ),
inference(sat_conversion,[],[f74]) ).
cnf(s2,plain,
~ spl7_2,
inference(sat_conversion,[],[f85]) ).
cnf(s3,plain,
~ spl7_1,
inference(sat_conversion,[],[f88]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f89,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU264+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Mon Sep 28 04:22:49 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.33 Running first-order model finding
% 0.09/0.33 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
% 0.09/0.36 % (3011125)Will run a generic schedule for satisfiability detection.
% 0.09/0.36 % (3011131)% WARNING: option uhcvi not known.
% 0.09/0.36 % (3011134)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1449434407:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.36 % (3011130)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3903304353_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.36 % (3011133)dis+10_1_sil=32000:sp=arity:random_seed=307213585:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.36 % (3011131)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1049908835:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.36 % (3011132)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=394012543:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.36 % (3011135)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2305061457:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.36 % (3011136)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2268027195:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.36 % TRYING [1]
% 0.09/0.36 % TRYING [2]
% 0.09/0.36 % (3011131) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3011125-3011131"...
% 0.09/0.36 % TRYING [3]
% 0.09/0.36 % (3011135) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3011125-3011135"...
% 0.09/0.36 % (3011133) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3011125-3011133"...
% 0.09/0.36 % TRYING [4]
% 0.09/0.36 % (3011131)...printing done.
% 0.09/0.36 % (3011135)...printing done.
% 0.09/0.36 % (3011136) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3011125-3011136"...
% 0.09/0.36 % (3011133)...printing done.
% 0.09/0.36 % (3011131)Refutation found. Thanks to Tanya!
% 0.09/0.36 % SZS status Theorem for theBenchmark
% 0.09/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.36 % (3011131)------------------------------
% 0.09/0.36 % (3011131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.36 % (3011131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.36 % (3011131)CaDiCaL version: 2.1.3
% 0.09/0.36 % (3011131)Termination reason: Refutation
% 0.09/0.36 % (3011131)Time elapsed: 0.001 s
% 0.09/0.36 % (3011131)Peak memory usage: 12 MB
% 0.09/0.36 % (3011131)Instructions burned: 2 (million)
% 0.09/0.36 % (3011125)Success in time 0.025 s
% 0.09/0.36 % Vampire exiting
%------------------------------------------------------------------------------