TSTP Solution File: SET630+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET630+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : n027.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 18:21:41 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 45 ( 33 unt; 0 def)
% Number of atoms : 71 ( 10 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 52 ( 26 ~; 17 |; 5 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 56 ( 50 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f194,plain,
$false,
inference(subsumption_resolution,[],[f193,f85]) ).
fof(f85,plain,
~ intersect(sF4,sF5),
inference(resolution,[],[f83,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| ~ intersect(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| intersect(X0,X1) )
& ( ~ intersect(X0,X1)
| ~ disjoint(X0,X1) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> ~ intersect(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjoint_defn) ).
fof(f83,plain,
disjoint(sF4,sF5),
inference(forward_demodulation,[],[f81,f70]) ).
fof(f70,plain,
intersection(sK2,sK3) = sF4,
introduced(function_definition,[]) ).
fof(f81,plain,
disjoint(intersection(sK2,sK3),sF5),
inference(superposition,[],[f56,f71]) ).
fof(f71,plain,
difference(sK2,sK3) = sF5,
introduced(function_definition,[]) ).
fof(f56,plain,
! [X0,X1] : disjoint(intersection(X0,X1),difference(X0,X1)),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] : disjoint(intersection(X0,X1),difference(X0,X1)),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0] : disjoint(intersection(X1,X0),difference(X1,X0)),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] : disjoint(intersection(X0,X1),difference(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_and_union_disjoint) ).
fof(f193,plain,
intersect(sF4,sF5),
inference(subsumption_resolution,[],[f192,f75]) ).
fof(f75,plain,
intersect(sF4,sF7),
inference(resolution,[],[f64,f74]) ).
fof(f74,plain,
~ disjoint(sF4,sF7),
inference(definition_folding,[],[f67,f73,f72,f71,f70]) ).
fof(f72,plain,
difference(sK3,sK2) = sF6,
introduced(function_definition,[]) ).
fof(f73,plain,
union(sF5,sF6) = sF7,
introduced(function_definition,[]) ).
fof(f67,plain,
~ disjoint(intersection(sK2,sK3),union(difference(sK2,sK3),difference(sK3,sK2))),
inference(definition_unfolding,[],[f62,f54]) ).
fof(f54,plain,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_difference_defn) ).
fof(f62,plain,
~ disjoint(intersection(sK2,sK3),symmetric_difference(sK2,sK3)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
~ disjoint(intersection(sK2,sK3),symmetric_difference(sK2,sK3)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f40,f41]) ).
fof(f41,plain,
( ? [X0,X1] : ~ disjoint(intersection(X0,X1),symmetric_difference(X0,X1))
=> ~ disjoint(intersection(sK2,sK3),symmetric_difference(sK2,sK3)) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
? [X0,X1] : ~ disjoint(intersection(X0,X1),symmetric_difference(X0,X1)),
inference(rectify,[],[f23]) ).
fof(f23,plain,
? [X1,X0] : ~ disjoint(intersection(X1,X0),symmetric_difference(X1,X0)),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X1,X0] : disjoint(intersection(X1,X0),symmetric_difference(X1,X0)),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X1,X0] : disjoint(intersection(X0,X1),symmetric_difference(X0,X1)),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X1,X0] : disjoint(intersection(X0,X1),symmetric_difference(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersection_and_symmetric_difference_disjoint) ).
fof(f64,plain,
! [X0,X1] :
( disjoint(X0,X1)
| intersect(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f192,plain,
( ~ intersect(sF4,sF7)
| intersect(sF4,sF5) ),
inference(resolution,[],[f188,f93]) ).
fof(f93,plain,
~ intersect(sF4,sF6),
inference(resolution,[],[f91,f63]) ).
fof(f91,plain,
disjoint(sF4,sF6),
inference(forward_demodulation,[],[f90,f70]) ).
fof(f90,plain,
disjoint(intersection(sK2,sK3),sF6),
inference(superposition,[],[f82,f55]) ).
fof(f55,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X1,X0] : intersection(X0,X1) = intersection(X1,X0),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] : intersection(X0,X1) = intersection(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_intersection) ).
fof(f82,plain,
disjoint(intersection(sK3,sK2),sF6),
inference(superposition,[],[f56,f72]) ).
fof(f188,plain,
! [X0] :
( intersect(X0,sF6)
| ~ intersect(X0,sF7)
| intersect(X0,sF5) ),
inference(superposition,[],[f49,f73]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ intersect(X2,union(X1,X0))
| intersect(X2,X1)
| intersect(X2,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( intersect(X2,X0)
| intersect(X2,X1)
| ~ intersect(X2,union(X1,X0)) )
& ( intersect(X2,union(X1,X0))
| ( ~ intersect(X2,X0)
& ~ intersect(X2,X1) ) ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( intersect(X2,X0)
| intersect(X2,X1)
| ~ intersect(X2,union(X1,X0)) )
& ( intersect(X2,union(X1,X0))
| ( ~ intersect(X2,X0)
& ~ intersect(X2,X1) ) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ( intersect(X2,X0)
| intersect(X2,X1) )
<=> intersect(X2,union(X1,X0)) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] :
( intersect(X0,union(X1,X2))
<=> ( intersect(X0,X1)
| intersect(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_with_union) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET630+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % 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 : n027.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 14:22:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (28883)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)
% 0.20/0.52 % (28879)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (28891)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.52 % (28881)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (28890)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (28907)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53 % (28883)Refutation not found, incomplete strategy% (28883)------------------------------
% 0.20/0.53 % (28883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (28883)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (28883)Memory used [KB]: 5884
% 0.20/0.53 % (28883)Time elapsed: 0.121 s
% 0.20/0.53 % (28883)Instructions burned: 2 (million)
% 0.20/0.53 % (28883)------------------------------
% 0.20/0.53 % (28883)------------------------------
% 0.20/0.53 % (28881)Refutation not found, incomplete strategy% (28881)------------------------------
% 0.20/0.53 % (28881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (28881)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (28881)Memory used [KB]: 5884
% 0.20/0.53 % (28881)Time elapsed: 0.123 s
% 0.20/0.53 % (28881)Instructions burned: 2 (million)
% 0.20/0.53 % (28881)------------------------------
% 0.20/0.53 % (28881)------------------------------
% 0.20/0.53 % (28879)First to succeed.
% 0.20/0.53 % (28904)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.53 % (28908)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)
% 0.20/0.53 % (28899)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.53 % (28897)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (28897)Instruction limit reached!
% 0.20/0.53 % (28897)------------------------------
% 0.20/0.53 % (28897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (28897)Termination reason: Unknown
% 0.20/0.53 % (28897)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (28897)Memory used [KB]: 5884
% 0.20/0.53 % (28897)Time elapsed: 0.004 s
% 0.20/0.53 % (28897)Instructions burned: 2 (million)
% 0.20/0.53 % (28897)------------------------------
% 0.20/0.53 % (28897)------------------------------
% 0.20/0.53 % (28888)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.53 % (28880)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)
% 0.20/0.53 % (28882)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)
% 0.20/0.53 % (28885)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)
% 0.20/0.53 % (28880)Refutation not found, incomplete strategy% (28880)------------------------------
% 0.20/0.53 % (28880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (28880)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (28880)Memory used [KB]: 5884
% 0.20/0.53 % (28880)Time elapsed: 0.122 s
% 0.20/0.53 % (28880)------------------------------
% 0.20/0.53 % (28880)------------------------------
% 0.20/0.53 % (28882)Refutation not found, incomplete strategy% (28882)------------------------------
% 0.20/0.53 % (28882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28884)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)
% 0.20/0.53 % (28882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (28882)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (28882)Memory used [KB]: 5884
% 0.20/0.53 % (28882)Time elapsed: 0.123 s
% 0.20/0.53 % (28882)------------------------------
% 0.20/0.53 % (28882)------------------------------
% 0.20/0.53 % (28885)Refutation not found, incomplete strategy% (28885)------------------------------
% 0.20/0.53 % (28885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28901)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)
% 0.20/0.54 % (28896)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (28879)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (28879)------------------------------
% 0.20/0.54 % (28879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (28879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (28879)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (28879)Memory used [KB]: 6012
% 0.20/0.54 % (28879)Time elapsed: 0.127 s
% 0.20/0.54 % (28879)Instructions burned: 6 (million)
% 0.20/0.54 % (28879)------------------------------
% 0.20/0.54 % (28879)------------------------------
% 0.20/0.54 % (28878)Success in time 0.185 s
%------------------------------------------------------------------------------