TSTP Solution File: SET886+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET886+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : 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 : Wed Aug 31 18:22:40 EDT 2022
% Result : Theorem 1.44s 0.54s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 15 unt; 0 def)
% Number of atoms : 45 ( 26 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 16 ~; 5 |; 5 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 38 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f48,plain,
$false,
inference(trivial_inequality_removal,[],[f47]) ).
fof(f47,plain,
unordered_pair(sK2,sK2) != unordered_pair(sK2,sK2),
inference(backward_demodulation,[],[f40,f42]) ).
fof(f42,plain,
sK3 = sK2,
inference(resolution,[],[f38,f39]) ).
fof(f39,plain,
subset(unordered_pair(sK2,sK3),unordered_pair(sK2,sK2)),
inference(backward_demodulation,[],[f33,f35]) ).
fof(f35,plain,
sK2 = sK1,
inference(resolution,[],[f32,f33]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ subset(unordered_pair(X0,X1),unordered_pair(X2,X2))
| X0 = X2 ),
inference(definition_unfolding,[],[f25,f29]) ).
fof(f29,plain,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ subset(unordered_pair(X0,X1),singleton(X2))
| X0 = X2 ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ~ subset(unordered_pair(X0,X1),singleton(X2))
| X0 = X2 ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
! [X2,X0,X1] :
( ~ subset(unordered_pair(X2,X0),singleton(X1))
| X1 = X2 ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X2,X0,X1] :
( subset(unordered_pair(X2,X0),singleton(X1))
=> X1 = X2 ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X2,X0] :
( subset(unordered_pair(X0,X1),singleton(X2))
=> X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_zfmisc_1) ).
fof(f33,plain,
subset(unordered_pair(sK2,sK3),unordered_pair(sK1,sK1)),
inference(definition_unfolding,[],[f28,f29]) ).
fof(f28,plain,
subset(unordered_pair(sK2,sK3),singleton(sK1)),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( subset(unordered_pair(sK2,sK3),singleton(sK1))
& unordered_pair(sK2,sK3) != singleton(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f18,f19]) ).
fof(f19,plain,
( ? [X0,X1,X2] :
( subset(unordered_pair(X1,X2),singleton(X0))
& singleton(X0) != unordered_pair(X1,X2) )
=> ( subset(unordered_pair(sK2,sK3),singleton(sK1))
& unordered_pair(sK2,sK3) != singleton(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1,X2] :
( subset(unordered_pair(X1,X2),singleton(X0))
& singleton(X0) != unordered_pair(X1,X2) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
? [X1,X2,X0] :
( subset(unordered_pair(X2,X0),singleton(X1))
& singleton(X1) != unordered_pair(X2,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
~ ! [X0,X2,X1] :
( subset(unordered_pair(X2,X0),singleton(X1))
=> singleton(X1) = unordered_pair(X2,X0) ),
inference(rectify,[],[f7]) ).
fof(f7,negated_conjecture,
~ ! [X1,X2,X0] :
( subset(unordered_pair(X0,X1),singleton(X2))
=> unordered_pair(X0,X1) = singleton(X2) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
! [X1,X2,X0] :
( subset(unordered_pair(X0,X1),singleton(X2))
=> unordered_pair(X0,X1) = singleton(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_zfmisc_1) ).
fof(f38,plain,
! [X3,X4,X5] :
( ~ subset(unordered_pair(X4,X3),unordered_pair(X5,X5))
| X3 = X5 ),
inference(superposition,[],[f32,f26]) ).
fof(f26,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f40,plain,
unordered_pair(sK2,sK2) != unordered_pair(sK2,sK3),
inference(backward_demodulation,[],[f34,f35]) ).
fof(f34,plain,
unordered_pair(sK2,sK3) != unordered_pair(sK1,sK1),
inference(definition_unfolding,[],[f27,f29]) ).
fof(f27,plain,
unordered_pair(sK2,sK3) != singleton(sK1),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET886+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13 % 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 : n009.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 14:25:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.44/0.54 % (20590)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.44/0.54 % (20589)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)
% 1.44/0.54 % (20590)First to succeed.
% 1.44/0.54 % (20589)Also succeeded, but the first one will report.
% 1.44/0.54 % (20590)Refutation found. Thanks to Tanya!
% 1.44/0.54 % SZS status Theorem for theBenchmark
% 1.44/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.54 % (20590)------------------------------
% 1.44/0.54 % (20590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54 % (20590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54 % (20590)Termination reason: Refutation
% 1.44/0.54
% 1.44/0.54 % (20590)Memory used [KB]: 5884
% 1.44/0.54 % (20590)Time elapsed: 0.124 s
% 1.44/0.54 % (20590)Instructions burned: 2 (million)
% 1.44/0.54 % (20590)------------------------------
% 1.44/0.54 % (20590)------------------------------
% 1.44/0.54 % (20574)Success in time 0.192 s
%------------------------------------------------------------------------------