%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET067-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 12:39:55 PM UTC 2026
% Result : Unsatisfiable 3.73s 1.52s
% Output : Refutation 3.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 54 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 16 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f101,negated_conjecture,
~ subclass(singleton(x),unordered_pair(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair1_1) ).
fof(f168,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1
| X0 = X1 ),
inference(superposition,[],[f8,f12]) ).
fof(f169,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f168]) ).
fof(f192,plain,
! [X0,X1] :
( not_subclass_element(singleton(X0),X1) = X0
| subclass(singleton(X0),X1) ),
inference(resolution,[],[f169,f2]) ).
fof(f193,plain,
! [X0] :
( regular(singleton(X0)) = X0
| singleton(X0) = null_class ),
inference(resolution,[],[f169,f68]) ).
fof(f439,plain,
! [X0] :
( member(X0,singleton(X0))
| singleton(X0) = null_class
| singleton(X0) = null_class ),
inference(superposition,[],[f68,f193]) ).
fof(f440,plain,
! [X0] :
( member(X0,singleton(X0))
| singleton(X0) = null_class ),
inference(duplicate_literal_removal,[],[f439]) ).
fof(f582,plain,
! [X0,X1] :
( ~ member(X0,X1)
| subclass(singleton(X0),X1)
| subclass(singleton(X0),X1) ),
inference(superposition,[],[f3,f192]) ).
fof(f587,plain,
! [X0,X1] :
( subclass(singleton(X0),X1)
| ~ member(X0,X1) ),
inference(duplicate_literal_removal,[],[f582]) ).
fof(f590,plain,
~ member(x,unordered_pair(x,y)),
inference(resolution,[],[f587,f101]) ).
fof(f605,plain,
~ member(x,universal_class),
inference(resolution,[],[f590,f9]) ).
fof(f609,plain,
! [X0] :
( ~ member(x,X0)
| ~ subclass(X0,universal_class) ),
inference(resolution,[],[f605,f1]) ).
fof(f610,plain,
! [X0] : ~ member(x,X0),
inference(forward_subsumption_resolution,[],[f609,f4]) ).
fof(f616,plain,
null_class = singleton(x),
inference(resolution,[],[f610,f440]) ).
fof(f622,plain,
~ subclass(null_class,unordered_pair(x,y)),
inference(superposition,[],[f101,f616]) ).
fof(f636,plain,
! [X0] :
( x = not_subclass_element(null_class,X0)
| subclass(null_class,X0) ),
inference(superposition,[],[f192,f616]) ).
fof(f1108,plain,
! [X0] :
( member(x,null_class)
| subclass(null_class,X0)
| subclass(null_class,X0) ),
inference(superposition,[],[f2,f636]) ).
fof(f1111,plain,
! [X0] :
( member(x,null_class)
| subclass(null_class,X0) ),
inference(duplicate_literal_removal,[],[f1108]) ).
fof(f1114,plain,
! [X0] : subclass(null_class,X0),
inference(forward_subsumption_resolution,[],[f1111,f610]) ).
fof(f1123,plain,
$false,
inference(resolution,[],[f1114,f622]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET067-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n026.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 00:31:41 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.73/1.52 % (3365537)Input is clausal, will run a generic CNF schedule.
% 3.73/1.52 % (3365609)dis-21_1_sil=8000:lcm=predicate:random_seed=3970224151:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.73/1.52 % (3365604)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=527320975:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.73/1.52 % (3365608)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=187013726:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.73/1.52 % (3365605)lrs+10_1_sil=8000:sp=occurrence:random_seed=1912297159:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.73/1.52 % (3365602)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1572481561:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.73/1.52 % (3365607)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2386684357:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.73/1.52 % (3365605)Refutation not found, incomplete strategy
% 3.73/1.52 % (3365605)------------------------------
% 3.73/1.52 % (3365605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.52 % (3365605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.52 % (3365605)CaDiCaL version: 2.1.3
% 3.73/1.52 % (3365605)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.52 % (3365605)Time elapsed: 0.002 s
% 3.73/1.52 % (3365605)Peak memory usage: 88 MB
% 3.73/1.52 % (3365605)Instructions burned: 1 (million)
% 3.73/1.52 % (3365609)Instruction limit reached!
% 3.73/1.52 % (3365609)------------------------------
% 3.73/1.52 % (3365609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.52 % (3365609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.52 % (3365609)CaDiCaL version: 2.1.3
% 3.73/1.52 % (3365609)Termination reason: Instruction limit
% 3.73/1.52 % (3365609)Termination phase: Saturation
% 3.73/1.52 % (3365609)Time elapsed: 0.034 s
% 3.73/1.52 % (3365609)Peak memory usage: 88 MB
% 3.73/1.52 % (3365609)Instructions burned: 117 (million)
% 3.73/1.52 % (3365603)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=340177165:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.73/1.52 % (3365608)First to succeed.
% 3.73/1.52 % (3365608)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3365537"
% 3.73/1.52 % (3365607)Instruction limit reached!
% 3.73/1.52 % (3365607)------------------------------
% 3.73/1.52 % (3365607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.52 % (3365607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.52 % (3365607)CaDiCaL version: 2.1.3
% 3.73/1.52 % (3365607)Termination reason: Instruction limit
% 3.73/1.52 % (3365607)Termination phase: Saturation
% 3.73/1.52 % (3365607)Time elapsed: 0.083 s
% 3.73/1.52 % (3365607)Peak memory usage: 88 MB
% 3.73/1.52 % (3365607)Instructions burned: 115 (million)
% 3.73/1.52 % (3365645)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3881196913:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.73/1.52 % (3365645)Refutation not found, incomplete strategy
% 3.73/1.52 % (3365645)------------------------------
% 3.73/1.52 % (3365645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.52 % (3365645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.52 % (3365645)CaDiCaL version: 2.1.3
% 3.73/1.52 % (3365645)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.52 % (3365645)Time elapsed: 0.003 s
% 3.73/1.52 % (3365645)Peak memory usage: 88 MB
% 3.73/1.52 % (3365645)Instructions burned: 3 (million)
% 3.73/1.52 % (3365657)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2010719886:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.73/1.52 % (3365605)------------------------------
% 3.73/1.52 % (3365605)------------------------------
% 3.73/1.52 % (3365608)Refutation found. Thanks to Tanya!
% 3.73/1.52 % SZS status Unsatisfiable for theBenchmark
% 3.73/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 3.73/1.52 % (3365608)------------------------------
% 3.73/1.52 % (3365608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.52 % (3365608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.52 % (3365608)CaDiCaL version: 2.1.3
% 3.73/1.52 % (3365608)Termination reason: Refutation
% 3.73/1.52 % (3365608)Time elapsed: 0.035 s
% 3.73/1.52 % (3365608)Peak memory usage: 89 MB
% 3.73/1.52 % (3365608)Instructions burned: 43 (million)
% 3.73/1.52 % (3365608)------------------------------
% 3.73/1.52 % (3365608)------------------------------
% 3.73/1.52 % (3365537)Success in time 0.441 s
% 3.73/1.52 % Vampire exiting
%------------------------------------------------------------------------------