TSTP Solution File: SET068-7 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET068-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:10:54 EDT 2024
% Result : Unsatisfiable 8.35s 1.63s
% Output : Refutation 8.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 35 ( 17 unt; 0 def)
% Number of atoms : 59 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 26 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14283,plain,
$false,
inference(resolution,[],[f13357,f96]) ).
fof(f96,axiom,
! [X0] : subclass(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_is_reflexive) ).
fof(f13357,plain,
~ subclass(null_class,null_class),
inference(backward_demodulation,[],[f249,f13335]) ).
fof(f13335,plain,
null_class = singleton(y),
inference(resolution,[],[f13228,f2894]) ).
fof(f2894,plain,
! [X0] :
( member(X0,singleton(X0))
| singleton(X0) = null_class ),
inference(duplicate_literal_removal,[],[f2893]) ).
fof(f2893,plain,
! [X0] :
( member(X0,singleton(X0))
| singleton(X0) = null_class
| singleton(X0) = null_class ),
inference(superposition,[],[f66,f792]) ).
fof(f792,plain,
! [X0] :
( regular(singleton(X0)) = X0
| singleton(X0) = null_class ),
inference(resolution,[],[f789,f66]) ).
fof(f789,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f786]) ).
fof(f786,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1
| X0 = X1 ),
inference(superposition,[],[f8,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f13228,plain,
! [X2] : ~ member(y,X2),
inference(resolution,[],[f13190,f11]) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f13190,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| ~ member(y,X2) ),
inference(resolution,[],[f13187,f1184]) ).
fof(f1184,plain,
! [X2,X3,X0,X1] :
( member(X0,universal_class)
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(resolution,[],[f16,f95]) ).
fof(f95,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X3,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_to_cartesian_product) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( member(ordered_pair(X2,X3),cross_product(X0,X1))
| ~ member(X3,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f13187,plain,
~ member(y,universal_class),
inference(resolution,[],[f13133,f9]) ).
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(f13133,plain,
~ member(y,unordered_pair(y,x)),
inference(backward_demodulation,[],[f136,f13132]) ).
fof(f13132,plain,
y = not_subclass_element(singleton(y),unordered_pair(y,x)),
inference(forward_demodulation,[],[f12750,f108]) ).
fof(f108,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_unordered_pair) ).
fof(f12750,plain,
y = not_subclass_element(singleton(y),unordered_pair(x,y)),
inference(resolution,[],[f793,f109]) ).
fof(f109,axiom,
~ subclass(singleton(y),unordered_pair(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair2_1) ).
fof(f793,plain,
! [X0,X1] :
( subclass(singleton(X0),X1)
| not_subclass_element(singleton(X0),X1) = X0 ),
inference(resolution,[],[f789,f2]) ).
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(f136,plain,
~ member(not_subclass_element(singleton(y),unordered_pair(y,x)),unordered_pair(y,x)),
inference(forward_demodulation,[],[f133,f108]) ).
fof(f133,plain,
~ member(not_subclass_element(singleton(y),unordered_pair(x,y)),unordered_pair(x,y)),
inference(resolution,[],[f3,f109]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f249,plain,
~ subclass(singleton(y),null_class),
inference(resolution,[],[f245,f104]) ).
fof(f104,axiom,
! [X0] : subclass(null_class,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_subclass) ).
fof(f245,plain,
! [X0] :
( ~ subclass(X0,unordered_pair(y,x))
| ~ subclass(singleton(y),X0) ),
inference(forward_demodulation,[],[f237,f108]) ).
fof(f237,plain,
! [X0] :
( ~ subclass(X0,unordered_pair(x,y))
| ~ subclass(singleton(y),X0) ),
inference(resolution,[],[f97,f109]) ).
fof(f97,axiom,
! [X0,X1,X4] :
( subclass(X0,X4)
| ~ subclass(X1,X4)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_subclass) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET068-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 16:40:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.36 % (23889)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (23891)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (23892)WARNING: value z3 for option sas not known
% 0.21/0.38 % (23890)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (23893)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (23892)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 % (23894)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.38 % (23896)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.39 % (23895)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.48 TRYING [3]
% 0.21/0.54 TRYING [1]
% 1.40/0.55 TRYING [2]
% 1.53/0.58 TRYING [4]
% 1.96/0.65 TRYING [1]
% 1.96/0.65 TRYING [3]
% 1.96/0.65 TRYING [2]
% 2.18/0.67 TRYING [3]
% 2.67/0.74 TRYING [4]
% 4.08/0.95 TRYING [5]
% 4.30/0.97 TRYING [5]
% 8.35/1.62 TRYING [4]
% 8.35/1.62 % (23895)First to succeed.
% 8.35/1.62 % (23895)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23889"
% 8.35/1.63 % (23895)Refutation found. Thanks to Tanya!
% 8.35/1.63 % SZS status Unsatisfiable for theBenchmark
% 8.35/1.63 % SZS output start Proof for theBenchmark
% See solution above
% 8.92/1.63 % (23895)------------------------------
% 8.92/1.63 % (23895)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 8.92/1.63 % (23895)Termination reason: Refutation
% 8.92/1.63
% 8.92/1.63 % (23895)Memory used [KB]: 10168
% 8.92/1.63 % (23895)Time elapsed: 1.240 s
% 8.92/1.63 % (23895)Instructions burned: 2501 (million)
% 8.92/1.63 % (23889)Success in time 1.26 s
%------------------------------------------------------------------------------