TSTP Solution File: SEU126+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU126+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 : n006.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 18:26:46 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 12 unt; 0 def)
% Number of atoms : 67 ( 21 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 65 ( 27 ~; 18 |; 14 &)
% ( 1 <=>; 5 =>; 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 50 ( 44 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f442,plain,
$false,
inference(unit_resulting_resolution,[],[f139,f161,f202,f127]) ).
fof(f127,plain,
! [X2,X0,X1] :
( subset(set_union2(X0,X1),X2)
| ~ subset(X0,X2)
| ~ subset(X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ subset(X1,X2)
| subset(set_union2(X0,X1),X2)
| ~ subset(X0,X2) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X1,X2,X0] :
( subset(set_union2(X0,X1),X2)
| ~ subset(X0,X2)
| ~ subset(X1,X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X1,X2,X0] :
( ( subset(X0,X2)
& subset(X1,X2) )
=> subset(set_union2(X0,X1),X2) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X0,X2,X1] :
( ( subset(X2,X1)
& subset(X0,X1) )
=> subset(set_union2(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_xboole_1) ).
fof(f202,plain,
~ subset(set_union2(sK5,sK6),sK5),
inference(unit_resulting_resolution,[],[f150,f188,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| X0 = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ( subset(X1,X0)
& subset(X0,X1) )
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f188,plain,
sK5 != set_union2(sK5,sK6),
inference(superposition,[],[f140,f149]) ).
fof(f149,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(rectify,[],[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(f140,plain,
set_union2(sK6,sK5) != sK5,
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( set_union2(sK6,sK5) != sK5
& subset(sK6,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f92,f93]) ).
fof(f93,plain,
( ? [X0,X1] :
( set_union2(X1,X0) != X0
& subset(X1,X0) )
=> ( set_union2(sK6,sK5) != sK5
& subset(sK6,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
? [X0,X1] :
( set_union2(X1,X0) != X0
& subset(X1,X0) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
? [X1,X0] :
( set_union2(X0,X1) != X1
& subset(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
inference(negated_conjecture,[],[f22]) ).
fof(f22,conjecture,
! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f150,plain,
! [X0,X1] : subset(X1,set_union2(X1,X0)),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] : subset(X1,set_union2(X1,X0)),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X1,X0] : subset(X0,set_union2(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f161,plain,
! [X1] : subset(X1,X1),
inference(equality_resolution,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( subset(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f139,plain,
subset(sK6,sK5),
inference(cnf_transformation,[],[f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU126+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:39:25 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.18/0.44 % (1543)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)
% 0.18/0.45 % (1543)Instruction limit reached!
% 0.18/0.45 % (1543)------------------------------
% 0.18/0.45 % (1543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47 % (1545)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.47 % (1543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47 % (1543)Termination reason: Unknown
% 0.18/0.47 % (1543)Termination phase: Saturation
% 0.18/0.47
% 0.18/0.47 % (1543)Memory used [KB]: 6140
% 0.18/0.47 % (1543)Time elapsed: 0.078 s
% 0.18/0.47 % (1543)Instructions burned: 14 (million)
% 0.18/0.47 % (1543)------------------------------
% 0.18/0.47 % (1543)------------------------------
% 0.18/0.47 % (1566)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)
% 0.18/0.49 % (1558)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.49 % (1561)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.49 % (1546)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.49 % (1553)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)
% 0.18/0.49 % (1539)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.49 % (1553)Instruction limit reached!
% 0.18/0.49 % (1553)------------------------------
% 0.18/0.49 % (1553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (1553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (1553)Termination reason: Unknown
% 0.18/0.49 % (1553)Termination phase: Saturation
% 0.18/0.49
% 0.18/0.49 % (1553)Memory used [KB]: 1535
% 0.18/0.49 % (1553)Time elapsed: 0.007 s
% 0.18/0.49 % (1553)Instructions burned: 3 (million)
% 0.18/0.49 % (1553)------------------------------
% 0.18/0.49 % (1553)------------------------------
% 0.18/0.50 % (1542)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (1540)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.50 % (1558)Instruction limit reached!
% 0.18/0.50 % (1558)------------------------------
% 0.18/0.50 % (1558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (1558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (1558)Termination reason: Unknown
% 0.18/0.50 % (1558)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (1558)Memory used [KB]: 6140
% 0.18/0.50 % (1558)Time elapsed: 0.136 s
% 0.18/0.50 % (1558)Instructions burned: 11 (million)
% 0.18/0.50 % (1558)------------------------------
% 0.18/0.50 % (1558)------------------------------
% 0.18/0.50 % (1546)First to succeed.
% 0.18/0.51 % (1546)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Theorem for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (1546)------------------------------
% 0.18/0.51 % (1546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (1546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (1546)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (1546)Memory used [KB]: 6140
% 0.18/0.51 % (1546)Time elapsed: 0.080 s
% 0.18/0.51 % (1546)Instructions burned: 11 (million)
% 0.18/0.51 % (1546)------------------------------
% 0.18/0.51 % (1546)------------------------------
% 0.18/0.51 % (1538)Success in time 0.168 s
%------------------------------------------------------------------------------