TSTP Solution File: SET025+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET025+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n028.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 18:18:31 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 17 unt; 0 def)
% Number of atoms : 19 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 20 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f290,plain,
$false,
inference(resolution,[],[f176,f255]) ).
fof(f255,plain,
~ member(unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,unordered_pair(sK1,sK1))),universal_class),
inference(definition_unfolding,[],[f169,f245]) ).
fof(f245,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),
inference(definition_unfolding,[],[f168,f159,f159]) ).
fof(f159,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f168,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X1,singleton(X0))),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(singleton(X1),unordered_pair(X1,singleton(X0))),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_defn) ).
fof(f169,plain,
~ member(ordered_pair(sK0,sK1),universal_class),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
~ member(ordered_pair(sK0,sK1),universal_class),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f93,f94]) ).
fof(f94,plain,
( ? [X0,X1] : ~ member(ordered_pair(X0,X1),universal_class)
=> ~ member(ordered_pair(sK0,sK1),universal_class) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
? [X0,X1] : ~ member(ordered_pair(X0,X1),universal_class),
inference(rectify,[],[f84]) ).
fof(f84,plain,
? [X1,X0] : ~ member(ordered_pair(X1,X0),universal_class),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
~ ! [X1,X0] : member(ordered_pair(X1,X0),universal_class),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X1,X0] : member(ordered_pair(X0,X1),universal_class),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X1,X0] : member(ordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_is_set) ).
fof(f176,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET025+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 13:06:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.56 % (16072)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56 % (16064)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.56 % (16064)Refutation not found, incomplete strategy% (16064)------------------------------
% 0.20/0.56 % (16064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (16080)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.56 % (16064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (16064)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (16064)Memory used [KB]: 5884
% 0.20/0.56 % (16064)Time elapsed: 0.128 s
% 0.20/0.56 % (16064)Instructions burned: 2 (million)
% 0.20/0.56 % (16064)------------------------------
% 0.20/0.56 % (16064)------------------------------
% 0.20/0.57 % (16072)Instruction limit reached!
% 0.20/0.57 % (16072)------------------------------
% 0.20/0.57 % (16072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (16072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (16072)Termination reason: Unknown
% 0.20/0.57 % (16072)Termination phase: Preprocessing 3
% 0.20/0.57
% 0.20/0.57 % (16072)Memory used [KB]: 1535
% 0.20/0.57 % (16072)Time elapsed: 0.005 s
% 0.20/0.57 % (16072)Instructions burned: 3 (million)
% 0.20/0.57 % (16072)------------------------------
% 0.20/0.57 % (16072)------------------------------
% 0.20/0.57 % (16081)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.57 % (16081)Refutation not found, incomplete strategy% (16081)------------------------------
% 0.20/0.57 % (16081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (16081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (16081)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (16081)Memory used [KB]: 1407
% 0.20/0.57 % (16081)Time elapsed: 0.079 s
% 0.20/0.57 % (16081)Instructions burned: 1 (million)
% 0.20/0.57 % (16081)------------------------------
% 0.20/0.57 % (16081)------------------------------
% 0.20/0.57 % (16080)First to succeed.
% 0.20/0.57 % (16080)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (16080)------------------------------
% 0.20/0.57 % (16080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (16080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (16080)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (16080)Memory used [KB]: 6012
% 0.20/0.57 % (16080)Time elapsed: 0.140 s
% 0.20/0.57 % (16080)Instructions burned: 6 (million)
% 0.20/0.57 % (16080)------------------------------
% 0.20/0.57 % (16080)------------------------------
% 0.20/0.57 % (16057)Success in time 0.217 s
%------------------------------------------------------------------------------