TSTP Solution File: SEU137+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU137+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n005.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 18:32:05 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 29 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 10 ~; 3 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f341,plain,
$false,
inference(subsumption_resolution,[],[f338,f317]) ).
fof(f317,plain,
set_union2(sK0,sK1) = sK1,
inference(resolution,[],[f283,f250]) ).
fof(f250,plain,
~ subset(sK0,sK1),
inference(consistent_polarity_flipping,[],[f161]) ).
fof(f161,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( set_union2(sK0,set_difference(sK1,sK0)) != sK1
& subset(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f82,f99]) ).
fof(f99,plain,
( ? [X0,X1] :
( set_union2(X0,set_difference(X1,X0)) != X1
& subset(X0,X1) )
=> ( set_union2(sK0,set_difference(sK1,sK0)) != sK1
& subset(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
? [X0,X1] :
( set_union2(X0,set_difference(X1,X0)) != X1
& subset(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,set_difference(X1,X0)) = X1 ),
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,set_difference(X1,X0)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_xboole_1) ).
fof(f283,plain,
! [X0,X1] :
( subset(X0,X1)
| set_union2(X0,X1) = X1 ),
inference(consistent_polarity_flipping,[],[f212]) ).
fof(f212,plain,
! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X1,X0] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f338,plain,
set_union2(sK0,sK1) != sK1,
inference(superposition,[],[f162,f208]) ).
fof(f208,plain,
! [X0,X1] : set_union2(X1,X0) = set_union2(X1,set_difference(X0,X1)),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1] : set_union2(X1,X0) = set_union2(X1,set_difference(X0,X1)),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X1,X0] : set_union2(X0,X1) = set_union2(X0,set_difference(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).
fof(f162,plain,
set_union2(sK0,set_difference(sK1,sK0)) != sK1,
inference(cnf_transformation,[],[f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU137+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % 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 : n005.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 14:43:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.50 % (5679)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (5679)First to succeed.
% 0.19/0.51 % (5667)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (5679)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (5679)------------------------------
% 0.19/0.51 % (5679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (5679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (5679)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (5679)Memory used [KB]: 1023
% 0.19/0.51 % (5679)Time elapsed: 0.094 s
% 0.19/0.51 % (5679)Instructions burned: 6 (million)
% 0.19/0.51 % (5679)------------------------------
% 0.19/0.51 % (5679)------------------------------
% 0.19/0.51 % (5659)Success in time 0.159 s
%------------------------------------------------------------------------------