TSTP Solution File: SET067-6 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET067-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n016.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 : Wed Aug 31 18:23:29 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 28 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f269,plain,
$false,
inference(resolution,[],[f258,f261]) ).
fof(f261,plain,
~ member(x,unordered_pair(x,y)),
inference(backward_demodulation,[],[f150,f257]) ).
fof(f257,plain,
x = not_subclass_element(unordered_pair(x,x),unordered_pair(x,y)),
inference(duplicate_literal_removal,[],[f251]) ).
fof(f251,plain,
( x = not_subclass_element(unordered_pair(x,x),unordered_pair(x,y))
| x = not_subclass_element(unordered_pair(x,x),unordered_pair(x,y)) ),
inference(resolution,[],[f8,f149]) ).
fof(f149,plain,
member(not_subclass_element(unordered_pair(x,x),unordered_pair(x,y)),unordered_pair(x,x)),
inference(resolution,[],[f2,f115]) ).
fof(f115,plain,
~ subclass(unordered_pair(x,x),unordered_pair(x,y)),
inference(definition_unfolding,[],[f92,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f92,axiom,
~ subclass(singleton(x),unordered_pair(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair1_1) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X1 = X2
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f150,plain,
~ member(not_subclass_element(unordered_pair(x,x),unordered_pair(x,y)),unordered_pair(x,y)),
inference(resolution,[],[f3,f115]) ).
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(f258,plain,
! [X1] : member(x,unordered_pair(x,X1)),
inference(backward_demodulation,[],[f177,f257]) ).
fof(f177,plain,
! [X1] : member(not_subclass_element(unordered_pair(x,x),unordered_pair(x,y)),unordered_pair(not_subclass_element(unordered_pair(x,x),unordered_pair(x,y)),X1)),
inference(resolution,[],[f172,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f172,plain,
member(not_subclass_element(unordered_pair(x,x),unordered_pair(x,y)),universal_class),
inference(resolution,[],[f159,f149]) ).
fof(f159,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET067-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 13:30:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46 % (22787)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.48 % (22804)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.49 % (22794)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49 % (22791)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49 % (22794)Instruction limit reached!
% 0.18/0.49 % (22794)------------------------------
% 0.18/0.49 % (22794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (22815)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.50 % (22810)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.50 % (22794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (22794)Termination reason: Unknown
% 0.18/0.50 % (22794)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (22794)Memory used [KB]: 5628
% 0.18/0.50 % (22794)Time elapsed: 0.097 s
% 0.18/0.50 % (22794)Instructions burned: 7 (million)
% 0.18/0.50 % (22794)------------------------------
% 0.18/0.50 % (22794)------------------------------
% 0.18/0.50 % (22796)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (22810)First to succeed.
% 0.18/0.51 % (22810)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (22810)------------------------------
% 0.18/0.51 % (22810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (22810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (22810)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (22810)Memory used [KB]: 1151
% 0.18/0.51 % (22810)Time elapsed: 0.113 s
% 0.18/0.51 % (22810)Instructions burned: 10 (million)
% 0.18/0.51 % (22810)------------------------------
% 0.18/0.51 % (22810)------------------------------
% 0.18/0.51 % (22782)Success in time 0.167 s
%------------------------------------------------------------------------------