TSTP Solution File: SET874+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET874+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 : n011.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 18:25:59 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 103 ( 72 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 126 ( 48 ~; 46 |; 24 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 62 ( 52 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f93,plain,
$false,
inference(trivial_inequality_removal,[],[f90]) ).
fof(f90,plain,
unordered_pair(sK4,sK3) != unordered_pair(sK4,sK3),
inference(superposition,[],[f49,f75]) ).
fof(f75,plain,
! [X2,X3] : set_union2(singleton(X2),unordered_pair(X2,X3)) = unordered_pair(X2,X3),
inference(resolution,[],[f38,f56]) ).
fof(f56,plain,
! [X2,X4] : in(X4,unordered_pair(X4,X2)),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X2,X0,X4] :
( in(X4,X0)
| unordered_pair(X4,X2) != X0 ),
inference(equality_resolution,[],[f40]) ).
fof(f40,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| X1 != X4
| unordered_pair(X1,X2) != X0 ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( unordered_pair(X1,X2) = X0
| ( ( ( sK0(X0,X1,X2) != X2
& sK0(X0,X1,X2) != X1 )
| ~ in(sK0(X0,X1,X2),X0) )
& ( sK0(X0,X1,X2) = X2
| sK0(X0,X1,X2) = X1
| in(sK0(X0,X1,X2),X0) ) ) )
& ( ! [X4] :
( ( in(X4,X0)
| ( X2 != X4
& X1 != X4 ) )
& ( X2 = X4
| X1 = X4
| ~ in(X4,X0) ) )
| unordered_pair(X1,X2) != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f26,f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( X2 != X3
& X1 != X3 )
| ~ in(X3,X0) )
& ( X2 = X3
| X1 = X3
| in(X3,X0) ) )
=> ( ( ( sK0(X0,X1,X2) != X2
& sK0(X0,X1,X2) != X1 )
| ~ in(sK0(X0,X1,X2),X0) )
& ( sK0(X0,X1,X2) = X2
| sK0(X0,X1,X2) = X1
| in(sK0(X0,X1,X2),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( unordered_pair(X1,X2) = X0
| ? [X3] :
( ( ( X2 != X3
& X1 != X3 )
| ~ in(X3,X0) )
& ( X2 = X3
| X1 = X3
| in(X3,X0) ) ) )
& ( ! [X4] :
( ( in(X4,X0)
| ( X2 != X4
& X1 != X4 ) )
& ( X2 = X4
| X1 = X4
| ~ in(X4,X0) ) )
| unordered_pair(X1,X2) != X0 ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X2,X1,X0] :
( ( unordered_pair(X1,X0) = X2
| ? [X3] :
( ( ( X0 != X3
& X1 != X3 )
| ~ in(X3,X2) )
& ( X0 = X3
| X1 = X3
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( X0 != X3
& X1 != X3 ) )
& ( X0 = X3
| X1 = X3
| ~ in(X3,X2) ) )
| unordered_pair(X1,X0) != X2 ) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X2,X1,X0] :
( ( unordered_pair(X1,X0) = X2
| ? [X3] :
( ( ( X0 != X3
& X1 != X3 )
| ~ in(X3,X2) )
& ( X0 = X3
| X1 = X3
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( X0 != X3
& X1 != X3 ) )
& ( X0 = X3
| X1 = X3
| ~ in(X3,X2) ) )
| unordered_pair(X1,X0) != X2 ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X2,X1,X0] :
( unordered_pair(X1,X0) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( X0 = X3
| X1 = X3 ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0,X2] :
( unordered_pair(X0,X1) = X2
<=> ! [X3] :
( ( X0 = X3
| X1 = X3 )
<=> in(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tarski) ).
fof(f38,plain,
! [X0,X1] :
( ~ in(X0,X1)
| set_union2(singleton(X0),X1) = X1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( set_union2(singleton(X0),X1) = X1
| ~ in(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( set_union2(singleton(X1),X0) = X0
| ~ in(X1,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X1,X0] :
( in(X1,X0)
=> set_union2(singleton(X1),X0) = X0 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l23_zfmisc_1) ).
fof(f49,plain,
unordered_pair(sK4,sK3) != set_union2(singleton(sK4),unordered_pair(sK4,sK3)),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
unordered_pair(sK4,sK3) != set_union2(singleton(sK4),unordered_pair(sK4,sK3)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f33,f34]) ).
fof(f34,plain,
( ? [X0,X1] : unordered_pair(X1,X0) != set_union2(singleton(X1),unordered_pair(X1,X0))
=> unordered_pair(sK4,sK3) != set_union2(singleton(sK4),unordered_pair(sK4,sK3)) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0,X1] : unordered_pair(X1,X0) != set_union2(singleton(X1),unordered_pair(X1,X0)),
inference(rectify,[],[f20]) ).
fof(f20,plain,
? [X1,X0] : unordered_pair(X0,X1) != set_union2(singleton(X0),unordered_pair(X0,X1)),
inference(ennf_transformation,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X1,X0] : unordered_pair(X0,X1) = set_union2(singleton(X0),unordered_pair(X0,X1)),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X1,X0] : unordered_pair(X0,X1) = set_union2(singleton(X0),unordered_pair(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_zfmisc_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET874+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:25:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (26486)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.56 % (26484)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)
% 0.20/0.57 % (26506)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)
% 0.20/0.57 % (26486)First to succeed.
% 0.20/0.57 TRYING [1]
% 0.20/0.57 % (26486)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 % (26486)------------------------------
% 0.20/0.57 % (26486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (26486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (26486)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (26486)Memory used [KB]: 895
% 0.20/0.57 % (26486)Time elapsed: 0.140 s
% 0.20/0.57 % (26486)Instructions burned: 3 (million)
% 0.20/0.57 % (26486)------------------------------
% 0.20/0.57 % (26486)------------------------------
% 0.20/0.57 % (26483)Success in time 0.216 s
%------------------------------------------------------------------------------