%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET693+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:44:26 PM UTC 2026
% Result : Theorem 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 68 ( 7 unt; 4 def)
% Number of atoms : 148 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 134 ( 54 ~; 67 |; 1 &)
% ( 10 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 38 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',equal_set) ).
fof(f5,axiom,
! [X0,X1,X2] :
( member(X0,union(X1,X2))
<=> ( member(X0,X1)
| member(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',union) ).
fof(f12,conjecture,
! [X0,X1] :
( equal_set(X0,union(X0,X1))
<=> subset(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI20) ).
fof(f13,negated_conjecture,
~ ! [X0,X1] :
( equal_set(X0,union(X0,X1))
<=> subset(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f16,plain,
? [X0,X1] :
( equal_set(X0,union(X0,X1))
<~> subset(X1,X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f17,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f18,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f19,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f20,plain,
! [X0,X1] :
( ~ equal_set(X0,X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f22,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f29,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f30,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f46,plain,
( subset(sK4,sK3)
| equal_set(sK3,union(sK3,sK4)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f47,plain,
( ~ subset(sK4,sK3)
| ~ equal_set(sK3,union(sK3,sK4)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f52,definition,
( spl5_1
<=> equal_set(sK3,union(sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f53,plain,
( ~ equal_set(sK3,union(sK3,sK4))
| spl5_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f54,plain,
( equal_set(sK3,union(sK3,sK4))
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f56,definition,
( spl5_2
<=> subset(sK4,sK3) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f57,plain,
( ~ subset(sK4,sK3)
| spl5_2 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f58,plain,
( subset(sK4,sK3)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f46,f56,f52]) ).
fof(f60,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f47,f56,f52]) ).
fof(f66,plain,
( ! [X0] :
( ~ member(X0,sK4)
| member(X0,sK3) )
| ~ spl5_2 ),
inference(resolution,[],[f17,f58]) ).
fof(f70,plain,
( ~ subset(sK3,union(sK3,sK4))
| ~ subset(union(sK3,sK4),sK3)
| spl5_1 ),
inference(resolution,[],[f22,f53]) ).
fof(f74,definition,
( spl5_3
<=> subset(union(sK3,sK4),sK3) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f75,plain,
( subset(union(sK3,sK4),sK3)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( ~ subset(union(sK3,sK4),sK3)
| spl5_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f78,definition,
( spl5_4
<=> subset(sK3,union(sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
fof(f80,plain,
( ~ subset(sK3,union(sK3,sK4))
| spl5_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,plain,
( ~ spl5_3
| ~ spl5_4
| spl5_1 ),
inference(avatar_split_clause,[],[f70,f52,f78,f74]) ).
fof(f82,plain,
( ~ member(sK0(union(sK3,sK4),sK3),sK3)
| spl5_3 ),
inference(resolution,[],[f76,f19]) ).
fof(f83,plain,
( member(sK0(union(sK3,sK4),sK3),union(sK3,sK4))
| spl5_3 ),
inference(resolution,[],[f76,f18]) ).
fof(f159,plain,
( member(sK0(union(sK3,sK4),sK3),sK3)
| member(sK0(union(sK3,sK4),sK3),sK4)
| spl5_3 ),
inference(resolution,[],[f28,f83]) ).
fof(f162,plain,
( member(sK0(union(sK3,sK4),sK3),sK4)
| spl5_3 ),
inference(forward_subsumption_resolution,[],[f159,f82]) ).
fof(f163,plain,
( member(sK0(union(sK3,sK4),sK3),sK3)
| ~ spl5_2
| spl5_3 ),
inference(resolution,[],[f162,f66]) ).
fof(f166,plain,
( $false
| ~ spl5_2
| spl5_3 ),
inference(forward_subsumption_resolution,[],[f163,f82]) ).
fof(f167,plain,
( ~ spl5_2
| spl5_3 ),
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f172,plain,
( subset(union(sK3,sK4),sK3)
| ~ spl5_1 ),
inference(resolution,[],[f54,f20]) ).
fof(f173,plain,
( $false
| ~ spl5_1
| spl5_3 ),
inference(forward_subsumption_resolution,[],[f172,f76]) ).
fof(f174,plain,
( ~ spl5_1
| spl5_3 ),
inference(avatar_contradiction_clause,[],[f173]) ).
fof(f184,plain,
( ! [X0] :
( ~ member(X0,union(sK3,sK4))
| member(X0,sK3) )
| ~ spl5_3 ),
inference(resolution,[],[f75,f17]) ).
fof(f191,plain,
( ~ member(sK0(sK3,union(sK3,sK4)),union(sK3,sK4))
| spl5_4 ),
inference(resolution,[],[f80,f19]) ).
fof(f192,plain,
( member(sK0(sK3,union(sK3,sK4)),sK3)
| spl5_4 ),
inference(resolution,[],[f80,f18]) ).
fof(f220,plain,
( ! [X0] :
( ~ member(X0,sK4)
| member(X0,sK3) )
| ~ spl5_3 ),
inference(resolution,[],[f184,f29]) ).
fof(f228,plain,
( ~ member(sK0(sK3,union(sK3,sK4)),sK3)
| spl5_4 ),
inference(resolution,[],[f191,f30]) ).
fof(f231,plain,
( $false
| spl5_4 ),
inference(forward_subsumption_resolution,[],[f228,f192]) ).
fof(f232,plain,
spl5_4,
inference(avatar_contradiction_clause,[],[f231]) ).
fof(f233,plain,
( ~ member(sK0(sK4,sK3),sK3)
| spl5_2 ),
inference(resolution,[],[f57,f19]) ).
fof(f234,plain,
( member(sK0(sK4,sK3),sK4)
| spl5_2 ),
inference(resolution,[],[f57,f18]) ).
fof(f260,plain,
( member(sK0(sK4,sK3),sK3)
| spl5_2
| ~ spl5_3 ),
inference(resolution,[],[f220,f234]) ).
fof(f264,plain,
( $false
| spl5_2
| ~ spl5_3 ),
inference(forward_subsumption_resolution,[],[f260,f233]) ).
fof(f265,plain,
( spl5_2
| ~ spl5_3 ),
inference(avatar_contradiction_clause,[],[f264]) ).
cnf(s1,plain,
( spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f59]) ).
cnf(s2,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(sat_conversion,[],[f60]) ).
cnf(s3,plain,
( spl5_1
| ~ spl5_3
| ~ spl5_4 ),
inference(sat_conversion,[],[f81]) ).
cnf(s4,plain,
( ~ spl5_2
| spl5_3 ),
inference(sat_conversion,[],[f167]) ).
cnf(s5,plain,
( ~ spl5_1
| spl5_3 ),
inference(sat_conversion,[],[f174]) ).
cnf(s7,plain,
spl5_4,
inference(sat_conversion,[],[f232]) ).
cnf(s9,plain,
( spl5_2
| ~ spl5_3 ),
inference(sat_conversion,[],[f265]) ).
cnf(s10,plain,
( spl5_1
| ~ spl5_3 ),
inference(rat,[],[s3,s7]) ).
cnf(s11,plain,
spl5_1,
inference(rat,[],[s4,s1,s10]) ).
cnf(s12,plain,
spl5_3,
inference(rat,[],[s5,s11]) ).
cnf(s13,plain,
~ spl5_2,
inference(rat,[],[s2,s11]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s9,s12,s13]) ).
fof(f266,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET693+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 02:38:33 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.16/0.46 % (3201930)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (3201935)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=12229615_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.46 % TRYING [1]
% 0.16/0.46 % TRYING [2]
% 0.16/0.46 % TRYING [3]
% 0.16/0.46 % TRYING [4]
% 0.16/0.46 % (3201936)% WARNING: option uhcvi not known.
% 0.16/0.46 % TRYING [5]
% 0.16/0.46 % (3201937)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2889127193:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.46 % (3201936)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3030151037:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.46 % (3201938)dis+10_1_sil=32000:sp=arity:random_seed=134713073:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.46 % (3201940)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=977821514:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.46 % (3201939)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=527764069:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.46 % (3201941)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1082198853:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.46 % TRYING [6]
% 0.16/0.46 % (3201939) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3201930-3201939"...
% 0.16/0.46 % (3201939)...printing done.
% 0.16/0.46 % (3201939)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Theorem for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (3201939)------------------------------
% 0.16/0.46 % (3201939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (3201939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (3201939)CaDiCaL version: 2.1.3
% 0.16/0.46 % (3201939)Termination reason: Refutation
% 0.16/0.46 % (3201939)Time elapsed: 0.010 s
% 0.16/0.46 % (3201939)Peak memory usage: 12 MB
% 0.16/0.46 % (3201939)Instructions burned: 12 (million)
% 0.16/0.46 % (3201930)Success in time 0.043 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------