%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET511-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 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 12:43:53 PM UTC 2026
% Result : Unsatisfiable 3.69s 1.05s
% Output : Refutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 56 ( 13 unt; 2 def)
% Number of atoms : 120 ( 43 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 111 ( 47 ~; 62 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 59 ( 0 sgn 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f122,negated_conjecture,
unordered_pair(singleton(x),unordered_pair(x,null_class)) != ordered_pair(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_property_1_of_ordered_pair_1) ).
fof(f127,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f185,plain,
unordered_pair(unordered_pair(x,x),unordered_pair(x,null_class)) != unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(universal_class,universal_class))),
inference(definition_unfolding,[],[f122,f12,f127]) ).
fof(f468,plain,
! [X0,X1] :
( regular(unordered_pair(X0,X1)) = X0
| regular(unordered_pair(X0,X1)) = X1
| unordered_pair(X0,X1) = null_class ),
inference(resolution,[],[f68,f8]) ).
fof(f479,plain,
! [X0,X1] :
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(resolution,[],[f2,f24]) ).
fof(f687,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f728,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(resolution,[],[f687,f2]) ).
fof(f748,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f687,f68]) ).
fof(f2585,plain,
! [X0] :
( subclass(complement(universal_class),X0)
| subclass(complement(universal_class),X0) ),
inference(resolution,[],[f479,f728]) ).
fof(f2590,plain,
! [X0] : subclass(complement(universal_class),X0),
inference(duplicate_literal_removal,[],[f2585]) ).
fof(f2604,plain,
! [X0,X1] :
( ~ member(X0,complement(universal_class))
| member(X0,X1) ),
inference(resolution,[],[f2590,f1]) ).
fof(f2628,plain,
! [X0] :
( member(regular(complement(universal_class)),X0)
| null_class = complement(universal_class) ),
inference(resolution,[],[f2604,f68]) ).
fof(f2883,definition,
( spl0_166
<=> null_class = complement(universal_class) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f2885,plain,
( null_class = complement(universal_class)
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f2883]) ).
fof(f2887,definition,
( spl0_167
<=> ! [X0] : member(regular(complement(universal_class)),X0) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
fof(f2888,plain,
( ! [X0] : member(regular(complement(universal_class)),X0)
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f2887]) ).
fof(f2889,plain,
( spl0_166
| spl0_167 ),
inference(avatar_split_clause,[],[f2628,f2887,f2883]) ).
fof(f3432,plain,
( ! [X0] : ~ member(regular(complement(universal_class)),X0)
| ~ spl0_167 ),
inference(resolution,[],[f2888,f24]) ).
fof(f3434,plain,
( $false
| ~ spl0_167 ),
inference(forward_subsumption_resolution,[],[f3432,f2888]) ).
fof(f3435,plain,
~ spl0_167,
inference(avatar_contradiction_clause,[],[f3434]) ).
fof(f3460,plain,
( ! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) )
| ~ spl0_166 ),
inference(superposition,[],[f24,f2885]) ).
fof(f3463,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f3460,f687]) ).
fof(f4631,plain,
! [X0,X1] :
( member(X0,null_class)
| ~ member(X0,regular(X1))
| ~ member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f23,f70]) ).
fof(f4646,plain,
( ! [X0,X1] :
( ~ member(X0,regular(X1))
| ~ member(X0,X1)
| null_class = X1 )
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f4631,f3463]) ).
fof(f5670,plain,
! [X0,X1] :
( X0 != X1
| regular(unordered_pair(X0,X1)) = X1
| unordered_pair(X0,X1) = null_class ),
inference(equality_factoring,[],[f468]) ).
fof(f5680,plain,
! [X0] :
( regular(unordered_pair(X0,X0)) = X0
| unordered_pair(X0,X0) = null_class ),
inference(equality_resolution,[],[f5670]) ).
fof(f5709,plain,
! [X0] :
( member(X0,universal_class)
| unordered_pair(X0,X0) = null_class
| unordered_pair(X0,X0) = null_class ),
inference(superposition,[],[f748,f5680]) ).
fof(f5712,plain,
! [X0] :
( member(X0,unordered_pair(X0,X0))
| unordered_pair(X0,X0) = null_class
| unordered_pair(X0,X0) = null_class ),
inference(superposition,[],[f68,f5680]) ).
fof(f5713,plain,
! [X0] :
( member(X0,unordered_pair(X0,X0))
| unordered_pair(X0,X0) = null_class ),
inference(duplicate_literal_removal,[],[f5712]) ).
fof(f5716,plain,
! [X0] :
( member(X0,universal_class)
| unordered_pair(X0,X0) = null_class ),
inference(duplicate_literal_removal,[],[f5709]) ).
fof(f8551,plain,
( ! [X0,X1] :
( ~ member(X1,X0)
| ~ member(X1,unordered_pair(X0,X0))
| unordered_pair(X0,X0) = null_class
| unordered_pair(X0,X0) = null_class )
| ~ spl0_166 ),
inference(superposition,[],[f4646,f5680]) ).
fof(f8554,plain,
( ! [X0,X1] :
( ~ member(X1,unordered_pair(X0,X0))
| ~ member(X1,X0)
| unordered_pair(X0,X0) = null_class )
| ~ spl0_166 ),
inference(duplicate_literal_removal,[],[f8551]) ).
fof(f9160,plain,
( ! [X0] :
( ~ member(X0,X0)
| unordered_pair(X0,X0) = null_class
| unordered_pair(X0,X0) = null_class )
| ~ spl0_166 ),
inference(resolution,[],[f8554,f5713]) ).
fof(f9178,plain,
( ! [X0] :
( ~ member(X0,X0)
| unordered_pair(X0,X0) = null_class )
| ~ spl0_166 ),
inference(duplicate_literal_removal,[],[f9160]) ).
fof(f9187,plain,
( null_class = unordered_pair(universal_class,universal_class)
| null_class = unordered_pair(universal_class,universal_class)
| ~ spl0_166 ),
inference(resolution,[],[f9178,f5716]) ).
fof(f9205,plain,
( null_class = unordered_pair(universal_class,universal_class)
| ~ spl0_166 ),
inference(duplicate_literal_removal,[],[f9187]) ).
fof(f9292,plain,
( unordered_pair(unordered_pair(x,x),unordered_pair(x,null_class)) != unordered_pair(unordered_pair(x,x),unordered_pair(x,null_class))
| ~ spl0_166 ),
inference(superposition,[],[f185,f9205]) ).
fof(f9344,plain,
( $false
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f9292]) ).
fof(f9345,plain,
~ spl0_166,
inference(avatar_contradiction_clause,[],[f9344]) ).
cnf(s143,plain,
( spl0_166
| spl0_167 ),
inference(sat_conversion,[],[f2889]) ).
cnf(s179,plain,
~ spl0_167,
inference(sat_conversion,[],[f3435]) ).
cnf(s498,plain,
~ spl0_166,
inference(sat_conversion,[],[f9345]) ).
cnf(s504,plain,
$false,
inference(rat,[],[s143,s179,s498]) ).
fof(f9376,plain,
$false,
inference(avatar_sat_refutation,[],[s504]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET511-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n006.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 02:00:56 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 3.69/1.05 % (3516891)Will run a generic schedule for satisfiability detection.
% 3.69/1.05 % (3516896)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=723736574_2999 on theBenchmark for (2999ds/0Mi)
% 3.69/1.05 % (3516897)% WARNING: option uhcvi not known.
% 3.69/1.05 % (3516897)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3511842905:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.69/1.05 % (3516898)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2210945365:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.69/1.05 % (3516900)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=484728217:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.69/1.05 % (3516901)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2777756804:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.69/1.05 % (3516899)dis+10_1_sil=32000:sp=arity:random_seed=1467077245:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.69/1.05 % (3516902)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2826267761:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.69/1.05 % (3516899)Instruction limit reached!
% 3.69/1.05 % (3516899)------------------------------
% 3.69/1.05 % (3516899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.69/1.05 % (3516899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.05 % (3516899)CaDiCaL version: 2.1.3
% 3.69/1.05 % (3516899)Termination reason: Instruction limit
% 3.69/1.05 % (3516899)Termination phase: Saturation
% 3.69/1.05 % (3516899)Time elapsed: 0.100 s
% 3.69/1.05 % (3516899)Peak memory usage: 13 MB
% 3.69/1.05 % (3516899)Instructions burned: 103 (million)
% 3.69/1.05 % (3516900)Instruction limit reached!
% 3.69/1.05 % (3516900)------------------------------
% 3.69/1.05 % (3516900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.69/1.05 % (3516900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.05 % (3516900)CaDiCaL version: 2.1.3
% 3.69/1.05 % (3516900)Termination reason: Instruction limit
% 3.69/1.05 % (3516900)Termination phase: Saturation
% 3.69/1.05 % (3516900)Time elapsed: 0.116 s
% 3.69/1.05 % (3516900)Peak memory usage: 13 MB
% 3.69/1.05 % (3516900)Instructions burned: 116 (million)
% 3.69/1.05 % (3516913)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1898246787:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 3.69/1.05 % (3516901)Instruction limit reached!
% 3.69/1.05 % (3516901)------------------------------
% 3.69/1.05 % (3516901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.69/1.05 % (3516901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.05 % (3516901)CaDiCaL version: 2.1.3
% 3.69/1.05 % (3516901)Termination reason: Instruction limit
% 3.69/1.05 % (3516901)Termination phase: Saturation
% 3.69/1.05 % (3516901)Time elapsed: 0.132 s
% 3.69/1.05 % (3516901)Peak memory usage: 13 MB
% 3.69/1.05 % (3516901)Instructions burned: 132 (million)
% 3.69/1.05 % TRYING [1]
% 3.69/1.05 % (3516914)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3882525728:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.69/1.05 % TRYING [2]
% 3.69/1.05 % (3516916)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=3009739464:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.69/1.05 % TRYING [3]
% 3.69/1.05 % (3516902)Instruction limit reached!
% 3.69/1.05 % (3516902)------------------------------
% 3.69/1.05 % (3516902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.69/1.05 % (3516902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.05 % (3516902)CaDiCaL version: 2.1.3
% 3.69/1.05 % (3516902)Termination reason: Instruction limit
% 3.69/1.05 % (3516902)Termination phase: Saturation
% 3.69/1.05 % (3516902)Time elapsed: 0.182 s
% 3.69/1.05 % (3516902)Peak memory usage: 13 MB
% 3.69/1.05 % (3516902)Instructions burned: 159 (million)
% 3.69/1.05 % (3516920)ott-21_1_sil=16000:fs=off:random_seed=3878460974:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 3.69/1.05 % (3516914)Instruction limit reached!
% 3.69/1.05 % (3516914)------------------------------
% 3.69/1.05 % (3516914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.69/1.05 % (3516914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.05 % (3516914)CaDiCaL version: 2.1.3
% 3.69/1.05 % (3516914)Termination reason: Instruction limit
% 3.69/1.05 % (3516914)Termination phase: Saturation
% 3.69/1.05 % (3516914)Time elapsed: 0.128 s
% 3.69/1.05 % (3516914)Peak memory usage: 13 MB
% 3.69/1.05 % (3516914)Instructions burned: 131 (million)
% 3.69/1.05 % (3516925)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=482487348:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 3.69/1.05 % TRYING [4]
% 3.69/1.05 % (3516920)Instruction limit reached!
% 3.69/1.05 % (3516920)------------------------------
% 3.69/1.05 % (3516920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.69/1.05 % (3516920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.05 % (3516920)CaDiCaL version: 2.1.3
% 3.69/1.05 % (3516920)Termination reason: Instruction limit
% 3.69/1.05 % (3516920)Termination phase: Saturation
% 3.69/1.05 % (3516920)Time elapsed: 0.169 s
% 3.69/1.05 % (3516920)Peak memory usage: 13 MB
% 3.69/1.05 % (3516920)Instructions burned: 181 (million)
% 3.69/1.05 % (3516927)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3186104804:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 3.69/1.05 % TRYING [1]
% 3.69/1.05 % TRYING [2]
% 3.69/1.05 % TRYING [3]
% 3.69/1.05 % (3516916) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3516891-3516916"...
% 3.69/1.05 % (3516916)...printing done.
% 3.69/1.05 % (3516916)Refutation found. Thanks to Tanya!
% 3.69/1.05 % SZS status Unsatisfiable for theBenchmark
% 3.69/1.05 % SZS output start Proof for theBenchmark
% See solution above
% 3.69/1.05 % (3516916)------------------------------
% 3.69/1.05 % (3516916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.69/1.05 % (3516916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.05 % (3516916)CaDiCaL version: 2.1.3
% 3.69/1.05 % (3516916)Termination reason: Refutation
% 3.69/1.05 % (3516916)Time elapsed: 0.380 s
% 3.69/1.05 % (3516916)Peak memory usage: 16 MB
% 3.69/1.05 % (3516916)Instructions burned: 341 (million)
% 3.69/1.05 % (3516891)Success in time 0.604 s
% 3.69/1.05 % Vampire exiting
%------------------------------------------------------------------------------