TSTP Solution File: SET880+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET880+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_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 18:26:00 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 4 unt; 0 def)
% Number of atoms : 76 ( 52 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 88 ( 34 ~; 30 |; 17 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 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 : 40 ( 31 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,plain,
$false,
inference(subsumption_resolution,[],[f52,f28]) ).
fof(f28,plain,
sK2 != sK1,
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( sK2 != sK1
& empty_set = set_difference(singleton(sK2),singleton(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f14,f15]) ).
fof(f15,plain,
( ? [X0,X1] :
( X0 != X1
& empty_set = set_difference(singleton(X1),singleton(X0)) )
=> ( sK2 != sK1
& empty_set = set_difference(singleton(sK2),singleton(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0,X1] :
( X0 != X1
& empty_set = set_difference(singleton(X1),singleton(X0)) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
? [X1,X0] :
( X0 != X1
& empty_set = set_difference(singleton(X0),singleton(X1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X1,X0] :
( empty_set = set_difference(singleton(X0),singleton(X1))
=> X0 = X1 ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X1,X0] :
( empty_set = set_difference(singleton(X0),singleton(X1))
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_zfmisc_1) ).
fof(f52,plain,
sK2 = sK1,
inference(trivial_inequality_removal,[],[f50]) ).
fof(f50,plain,
( empty_set != empty_set
| sK2 = sK1 ),
inference(superposition,[],[f46,f27]) ).
fof(f27,plain,
empty_set = set_difference(singleton(sK2),singleton(sK1)),
inference(cnf_transformation,[],[f16]) ).
fof(f46,plain,
! [X6,X7] :
( empty_set != set_difference(singleton(X6),singleton(X7))
| X6 = X7 ),
inference(resolution,[],[f26,f38]) ).
fof(f38,plain,
! [X2,X0] :
( ~ in(X2,singleton(X0))
| X0 = X2 ),
inference(equality_resolution,[],[f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( X0 = X2
| ~ in(X2,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 )
& ( singleton(X0) = X1
| ( ( sK4(X0,X1) != X0
| ~ in(sK4(X0,X1),X1) )
& ( sK4(X0,X1) = X0
| in(sK4(X0,X1),X1) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f21,f22]) ).
fof(f22,plain,
! [X0,X1] :
( ? [X3] :
( ( X0 != X3
| ~ in(X3,X1) )
& ( X0 = X3
| in(X3,X1) ) )
=> ( ( sK4(X0,X1) != X0
| ~ in(sK4(X0,X1),X1) )
& ( sK4(X0,X1) = X0
| in(sK4(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0,X1] :
( ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 )
& ( singleton(X0) = X1
| ? [X3] :
( ( X0 != X3
| ~ in(X3,X1) )
& ( X0 = X3
| in(X3,X1) ) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 )
& ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X1)
<=> X0 = X2 )
<=> singleton(X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f26,plain,
! [X0,X1] :
( in(X0,X1)
| empty_set != set_difference(singleton(X0),X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ( in(X0,X1)
| empty_set != set_difference(singleton(X0),X1) )
& ( empty_set = set_difference(singleton(X0),X1)
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( in(X0,X1)
<=> empty_set = set_difference(singleton(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l36_zfmisc_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET880+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % 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 : n016.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 14:50:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (11367)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.48 % (11376)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)
% 0.20/0.48 % (11367)Instruction limit reached!
% 0.20/0.48 % (11367)------------------------------
% 0.20/0.48 % (11367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (11376)First to succeed.
% 0.20/0.48 % (11367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (11367)Termination reason: Unknown
% 0.20/0.48 % (11367)Termination phase: Blocked clause elimination
% 0.20/0.48
% 0.20/0.48 % (11367)Memory used [KB]: 895
% 0.20/0.48 % (11367)Time elapsed: 0.003 s
% 0.20/0.48 % (11367)Instructions burned: 2 (million)
% 0.20/0.48 % (11367)------------------------------
% 0.20/0.48 % (11367)------------------------------
% 0.20/0.49 % (11376)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (11376)------------------------------
% 0.20/0.49 % (11376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (11376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (11376)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (11376)Memory used [KB]: 5373
% 0.20/0.49 % (11376)Time elapsed: 0.081 s
% 0.20/0.49 % (11376)Instructions burned: 2 (million)
% 0.20/0.49 % (11376)------------------------------
% 0.20/0.49 % (11376)------------------------------
% 0.20/0.49 % (11355)Success in time 0.135 s
%------------------------------------------------------------------------------