%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET096-7 : 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 : n004.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 12:40:05 PM UTC 2026
% Result : Unsatisfiable 0.18s 1.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 35 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 15 ( 15 !; 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(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
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(f137,axiom,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_member_in_singleton) ).
fof(f153,axiom,
! [X0,X1] :
( subclass(singleton(X0),X1)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_singletons2) ).
fof(f154,negated_conjecture,
subclass(x,singleton(y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_1) ).
fof(f155,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_2) ).
fof(f156,plain,
null_class != x,
inference(reorient_equations,[],[f155]) ).
fof(f157,negated_conjecture,
singleton(y) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_3) ).
fof(f158,plain,
x != singleton(y),
inference(reorient_equations,[],[f157]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ subclass(X1,singleton(X2))
| ~ member(X0,X1)
| X0 = X2 ),
inference(resolution,[],[f1,f137]) ).
fof(f250,plain,
( ~ subclass(singleton(y),x)
| x = singleton(y) ),
inference(resolution,[],[f7,f154]) ).
fof(f252,plain,
~ subclass(singleton(y),x),
inference(forward_subsumption_resolution,[],[f250,f158]) ).
fof(f280,plain,
~ member(y,x),
inference(resolution,[],[f252,f153]) ).
fof(f1542,plain,
! [X0] :
( ~ member(X0,x)
| y = X0 ),
inference(resolution,[],[f222,f154]) ).
fof(f1551,plain,
( y = regular(x)
| null_class = x ),
inference(resolution,[],[f1542,f68]) ).
fof(f1561,plain,
y = regular(x),
inference(forward_subsumption_resolution,[],[f1551,f156]) ).
fof(f1732,plain,
( member(y,x)
| null_class = x ),
inference(superposition,[],[f68,f1561]) ).
fof(f1733,plain,
null_class = x,
inference(forward_subsumption_resolution,[],[f1732,f280]) ).
fof(f1735,plain,
$false,
inference(forward_subsumption_resolution,[],[f1733,f156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET096-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n004.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 00:40:07 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 0.18/1.51 % (4038337)Input is clausal, will run a generic CNF schedule.
% 0.18/1.51 % (4038343)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=901007647:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.18/1.51 % (4038345)lrs+10_1_sil=8000:sp=occurrence:random_seed=1439934993:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.18/1.51 % (4038344)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1857229371:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.18/1.51 % (4038342)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=1375850445:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.18/1.51 % (4038346)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2807861078:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.18/1.51 % (4038347)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4195460277:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.18/1.51 % (4038348)dis-21_1_sil=8000:lcm=predicate:random_seed=2981657159: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)
% 0.18/1.51 % (4038347)First to succeed.
% 0.18/1.51 % (4038347)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4038337"
% 0.18/1.51 % (4038345)Instruction limit reached!
% 0.18/1.51 % (4038345)------------------------------
% 0.18/1.51 % (4038345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (4038345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (4038345)CaDiCaL version: 2.1.3
% 0.18/1.51 % (4038345)Termination reason: Instruction limit
% 0.18/1.51 % (4038345)Termination phase: Saturation
% 0.18/1.51 % (4038345)Time elapsed: 0.069 s
% 0.18/1.51 % (4038345)Peak memory usage: 89 MB
% 0.18/1.51 % (4038345)Instructions burned: 108 (million)
% 0.18/1.51 % (4038346)Instruction limit reached!
% 0.18/1.51 % (4038346)------------------------------
% 0.18/1.51 % (4038346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (4038346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (4038346)CaDiCaL version: 2.1.3
% 0.18/1.51 % (4038346)Termination reason: Instruction limit
% 0.18/1.51 % (4038346)Termination phase: Saturation
% 0.18/1.51 % (4038346)Time elapsed: 0.071 s
% 0.18/1.51 % (4038346)Peak memory usage: 88 MB
% 0.18/1.51 % (4038346)Instructions burned: 114 (million)
% 0.18/1.51 % (4038348)Instruction limit reached!
% 0.18/1.51 % (4038348)------------------------------
% 0.18/1.51 % (4038348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (4038348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (4038348)CaDiCaL version: 2.1.3
% 0.18/1.51 % (4038348)Termination reason: Instruction limit
% 0.18/1.51 % (4038348)Termination phase: Saturation
% 0.18/1.51 % (4038348)Time elapsed: 0.074 s
% 0.18/1.51 % (4038348)Peak memory usage: 89 MB
% 0.18/1.51 % (4038348)Instructions burned: 118 (million)
% 0.18/1.51 % (4038356)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=620102641:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.18/1.51 % (4038358)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1179562573:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.18/1.51 % (4038357)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1491927052: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)
% 0.18/1.51 % (4038356)Instruction limit reached!
% 0.18/1.51 % (4038356)------------------------------
% 0.18/1.51 % (4038356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (4038356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (4038356)CaDiCaL version: 2.1.3
% 0.18/1.51 % (4038356)Termination reason: Instruction limit
% 0.18/1.51 % (4038356)Termination phase: Saturation
% 0.18/1.51 % (4038356)Time elapsed: 0.087 s
% 0.18/1.51 % (4038356)Peak memory usage: 89 MB
% 0.18/1.51 % (4038356)Instructions burned: 143 (million)
% 0.18/1.51 % (4038347)Refutation found. Thanks to Tanya!
% 0.18/1.51 % SZS status Unsatisfiable for theBenchmark
% 0.18/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.51 % (4038347)------------------------------
% 0.18/1.51 % (4038347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (4038347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (4038347)CaDiCaL version: 2.1.3
% 0.18/1.51 % (4038347)Termination reason: Refutation
% 0.18/1.51 % (4038347)Time elapsed: 0.042 s
% 0.18/1.51 % (4038347)Peak memory usage: 89 MB
% 0.18/1.51 % (4038347)Instructions burned: 54 (million)
% 0.18/1.51 % (4038347)------------------------------
% 0.18/1.51 % (4038347)------------------------------
% 0.18/1.51 % (4038337)Success in time 0.441 s
% 0.18/1.51 % Vampire exiting
%------------------------------------------------------------------------------