TSTP Solution File: SEU124+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU124+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_uns --cores 0 -t %d %s
% Computer : n023.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 18:26:45 EDT 2022
% Result : Theorem 0.20s 0.59s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 34 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 11 ~; 8 |; 0 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 37 ( 35 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f312,plain,
$false,
inference(unit_resulting_resolution,[],[f128,f129,f111]) ).
fof(f111,plain,
! [X2,X3,X1] :
( in(X3,set_union2(X2,X1))
| ~ in(X3,X1) ),
inference(equality_resolution,[],[f93]) ).
fof(f93,plain,
! [X2,X3,X0,X1] :
( set_union2(X2,X1) != X0
| ~ in(X3,X1)
| in(X3,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X2,X1] :
( ! [X3] :
( in(X3,X0)
<=> ( in(X3,X2)
| in(X3,X1) ) )
<=> set_union2(X2,X1) = X0 ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X1,X0] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
| in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f129,plain,
~ in(sK3(sK5,set_union2(sK4,sK5)),set_union2(sK4,sK5)),
inference(unit_resulting_resolution,[],[f116,f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f116,plain,
~ subset(sK5,set_union2(sK4,sK5)),
inference(forward_demodulation,[],[f80,f89]) ).
fof(f89,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f80,plain,
~ subset(sK5,set_union2(sK5,sK4)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
? [X0,X1] : ~ subset(X1,set_union2(X1,X0)),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
~ ! [X0,X1] : subset(X1,set_union2(X1,X0)),
inference(rectify,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X1,X0] : subset(X0,set_union2(X0,X1)),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X1,X0] : subset(X0,set_union2(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f128,plain,
in(sK3(sK5,set_union2(sK4,sK5)),sK5),
inference(unit_resulting_resolution,[],[f116,f76]) ).
fof(f76,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEU124+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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 15:01:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.56 % (7335)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.56 % (7335)First to succeed.
% 0.20/0.57 % (7354)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.57 % (7327)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.58 % (7331)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.58 % (7356)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.59 % (7332)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.59 % (7335)Refutation found. Thanks to Tanya!
% 0.20/0.59 % SZS status Theorem for theBenchmark
% 0.20/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59 % (7335)------------------------------
% 0.20/0.59 % (7335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (7335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (7335)Termination reason: Refutation
% 0.20/0.59
% 0.20/0.59 % (7335)Memory used [KB]: 6012
% 0.20/0.59 % (7335)Time elapsed: 0.137 s
% 0.20/0.59 % (7335)Instructions burned: 8 (million)
% 0.20/0.59 % (7335)------------------------------
% 0.20/0.59 % (7335)------------------------------
% 0.20/0.59 % (7326)Success in time 0.232 s
%------------------------------------------------------------------------------