%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET096-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 4.00s 1.55s
% Output : Refutation 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 48 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 19 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f101,negated_conjecture,
subclass(x,singleton(y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_1) ).
fof(f102,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_2) ).
fof(f103,plain,
null_class != x,
inference(reorient_equations,[],[f102]) ).
fof(f104,negated_conjecture,
singleton(y) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_3) ).
fof(f105,plain,
x != singleton(y),
inference(reorient_equations,[],[f104]) ).
fof(f132,plain,
( ~ subclass(singleton(y),x)
| x = singleton(y) ),
inference(resolution,[],[f7,f101]) ).
fof(f134,plain,
~ subclass(singleton(y),x),
inference(forward_subsumption_resolution,[],[f132,f105]) ).
fof(f153,plain,
~ member(not_subclass_element(singleton(y),x),x),
inference(resolution,[],[f134,f3]) ).
fof(f209,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1
| X0 = X1 ),
inference(superposition,[],[f8,f12]) ).
fof(f210,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f209]) ).
fof(f334,plain,
! [X2,X0,X1] :
( ~ subclass(X2,singleton(X0))
| ~ member(X1,X2)
| X0 = X1 ),
inference(resolution,[],[f210,f1]) ).
fof(f335,plain,
! [X0,X1] :
( subclass(singleton(X0),X1)
| not_subclass_element(singleton(X0),X1) = X0 ),
inference(resolution,[],[f210,f2]) ).
fof(f1159,plain,
! [X0] :
( ~ member(X0,x)
| y = X0 ),
inference(resolution,[],[f334,f101]) ).
fof(f1165,plain,
( y = regular(x)
| null_class = x ),
inference(resolution,[],[f1159,f68]) ).
fof(f1167,plain,
y = regular(x),
inference(forward_subsumption_resolution,[],[f1165,f103]) ).
fof(f1168,plain,
y = not_subclass_element(singleton(y),x),
inference(resolution,[],[f335,f134]) ).
fof(f1397,plain,
( member(y,x)
| null_class = x ),
inference(superposition,[],[f68,f1167]) ).
fof(f1398,plain,
member(y,x),
inference(forward_subsumption_resolution,[],[f1397,f103]) ).
fof(f1458,plain,
~ member(y,x),
inference(superposition,[],[f153,f1168]) ).
fof(f1494,plain,
$false,
inference(forward_subsumption_resolution,[],[f1458,f1398]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET096-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 00:40:15 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.00/1.55 % (2567464)Input is clausal, will run a generic CNF schedule.
% 4.00/1.55 % (2567470)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3712541743:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.00/1.55 % (2567469)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=4045982276:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.00/1.55 % (2567473)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3329425516:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.00/1.55 % (2567471)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2677766389:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.00/1.55 % (2567472)lrs+10_1_sil=8000:sp=occurrence:random_seed=3548553097:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.00/1.55 % (2567475)dis-21_1_sil=8000:lcm=predicate:random_seed=89241970: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)
% 4.00/1.55 % (2567474)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2196825397:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.00/1.55 % (2567472)Refutation not found, incomplete strategy
% 4.00/1.55 % (2567472)------------------------------
% 4.00/1.55 % (2567472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.55 % (2567472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.55 % (2567472)CaDiCaL version: 2.1.3
% 4.00/1.55 % (2567472)Termination reason: Refutation not found, incomplete strategy
% 4.00/1.55 % (2567472)Time elapsed: 0.001 s
% 4.00/1.55 % (2567472)Peak memory usage: 88 MB
% 4.00/1.55 % (2567474)First to succeed.
% 4.00/1.55 % (2567474)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2567464"
% 4.00/1.55 % (2567475)Instruction limit reached!
% 4.00/1.55 % (2567475)------------------------------
% 4.00/1.55 % (2567475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.55 % (2567475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.55 % (2567475)CaDiCaL version: 2.1.3
% 4.00/1.55 % (2567475)Termination reason: Instruction limit
% 4.00/1.55 % (2567475)Termination phase: Saturation
% 4.00/1.55 % (2567475)Time elapsed: 0.058 s
% 4.00/1.55 % (2567475)Peak memory usage: 88 MB
% 4.00/1.55 % (2567475)Instructions burned: 119 (million)
% 4.00/1.55 % (2567473)Instruction limit reached!
% 4.00/1.55 % (2567473)------------------------------
% 4.00/1.55 % (2567473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.55 % (2567473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.55 % (2567473)CaDiCaL version: 2.1.3
% 4.00/1.55 % (2567473)Termination reason: Instruction limit
% 4.00/1.55 % (2567473)Termination phase: Saturation
% 4.00/1.55 % (2567473)Time elapsed: 0.066 s
% 4.00/1.55 % (2567473)Peak memory usage: 89 MB
% 4.00/1.55 % (2567473)Instructions burned: 114 (million)
% 4.00/1.55 % (2567483)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=536291844:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.00/1.55 % (2567483)Refutation not found, incomplete strategy
% 4.00/1.55 % (2567483)------------------------------
% 4.00/1.55 % (2567483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.55 % (2567483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.55 % (2567483)CaDiCaL version: 2.1.3
% 4.00/1.55 % (2567483)Termination reason: Refutation not found, incomplete strategy
% 4.00/1.55 % (2567483)Time elapsed: 0.004 s
% 4.00/1.55 % (2567483)Peak memory usage: 88 MB
% 4.00/1.55 % (2567483)Instructions burned: 3 (million)
% 4.00/1.55 % (2567484)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3730590706: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)
% 4.00/1.55 % (2567472)------------------------------
% 4.00/1.55 % (2567472)------------------------------
% 4.00/1.55 % (2567474)Refutation found. Thanks to Tanya!
% 4.00/1.55 % SZS status Unsatisfiable for theBenchmark
% 4.00/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 4.00/1.55 % (2567474)------------------------------
% 4.00/1.55 % (2567474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.55 % (2567474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.55 % (2567474)CaDiCaL version: 2.1.3
% 4.00/1.55 % (2567474)Termination reason: Refutation
% 4.00/1.55 % (2567474)Time elapsed: 0.050 s
% 4.00/1.55 % (2567474)Peak memory usage: 89 MB
% 4.00/1.55 % (2567474)Instructions burned: 62 (million)
% 4.00/1.55 % (2567474)------------------------------
% 4.00/1.55 % (2567474)------------------------------
% 4.00/1.55 % (2567464)Success in time 0.478 s
% 4.00/1.55 % Vampire exiting
%------------------------------------------------------------------------------