TSTP Solution File: SET117+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET117+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_sat --cores 0 -t %d %s
% Computer : n027.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 18:23:48 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 20 unt; 0 def)
% Number of atoms : 26 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 3 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 15 ( 14 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f235,plain,
$false,
inference(resolution,[],[f234,f93]) ).
fof(f93,plain,
~ member(sK0,universal_class),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
? [X0] :
( ~ member(X0,universal_class)
& ordered_pair(first(X0),second(X0)) = X0 ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0] :
( ordered_pair(first(X0),second(X0)) = X0
=> member(X0,universal_class) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0] :
( ordered_pair(first(X0),second(X0)) = X0
=> member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_1_to_ordered_pairs_are_sets) ).
fof(f234,plain,
member(sK0,universal_class),
inference(forward_demodulation,[],[f233,f228]) ).
fof(f228,plain,
sF12 = sK0,
inference(definition_folding,[],[f185,f227,f226,f225,f224,f224,f222,f223,f222,f222]) ).
fof(f223,plain,
sF8 = unordered_pair(sF7,sF7),
introduced(function_definition,[]) ).
fof(f222,plain,
sF7 = first(sK0),
introduced(function_definition,[]) ).
fof(f224,plain,
second(sK0) = sF9,
introduced(function_definition,[]) ).
fof(f225,plain,
unordered_pair(sF9,sF9) = sF10,
introduced(function_definition,[]) ).
fof(f226,plain,
sF11 = unordered_pair(sF7,sF10),
introduced(function_definition,[]) ).
fof(f227,plain,
sF12 = unordered_pair(sF8,sF11),
introduced(function_definition,[]) ).
fof(f185,plain,
sK0 = unordered_pair(unordered_pair(first(sK0),first(sK0)),unordered_pair(first(sK0),unordered_pair(second(sK0),second(sK0)))),
inference(definition_unfolding,[],[f92,f178]) ).
fof(f178,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f132,f154,f154]) ).
fof(f154,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(f132,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
inference(cnf_transformation,[],[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(f92,plain,
sK0 = ordered_pair(first(sK0),second(sK0)),
inference(cnf_transformation,[],[f84]) ).
fof(f233,plain,
member(sF12,universal_class),
inference(superposition,[],[f177,f227]) ).
fof(f177,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET117+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 13:34:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (8429)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (8438)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)
% 0.20/0.52 % (8431)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52 % (8419)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (8430)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52 % (8432)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)
% 0.20/0.53 % (8419)First to succeed.
% 0.20/0.53 % (8429)Also succeeded, but the first one will report.
% 0.20/0.53 % (8420)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (8419)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (8419)------------------------------
% 0.20/0.53 % (8419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (8419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (8419)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (8419)Memory used [KB]: 5628
% 0.20/0.53 % (8419)Time elapsed: 0.127 s
% 0.20/0.53 % (8419)Instructions burned: 7 (million)
% 0.20/0.53 % (8419)------------------------------
% 0.20/0.53 % (8419)------------------------------
% 0.20/0.53 % (8415)Success in time 0.178 s
%------------------------------------------------------------------------------