TSTP Solution File: SET185+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET185+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 : n012.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 18:19:42 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 5 unt; 0 def)
% Number of atoms : 147 ( 23 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 169 ( 60 ~; 67 |; 29 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 80 ( 70 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f956,plain,
$false,
inference(unit_resulting_resolution,[],[f794,f795,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) )
& ( member(X0,union(X1,X2))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) )
& ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) )
& ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ( member(X2,X1)
| member(X2,X0) )
<=> member(X2,union(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f795,plain,
~ member(sK1(union(sK2,sK3),sK3),union(sK2,sK3)),
inference(unit_resulting_resolution,[],[f38,f794,f37]) ).
fof(f37,plain,
! [X0,X1] :
( ~ member(sK1(X0,X1),X0)
| ~ member(sK1(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( X0 = X1
| ( ( ~ member(sK1(X0,X1),X0)
| ~ member(sK1(X0,X1),X1) )
& ( member(sK1(X0,X1),X0)
| member(sK1(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( member(X3,X1)
| ~ member(X3,X0) )
& ( member(X3,X0)
| ~ member(X3,X1) ) )
| X0 != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f19,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X0)
| member(X2,X1) ) )
=> ( ( ~ member(sK1(X0,X1),X0)
| ~ member(sK1(X0,X1),X1) )
& ( member(sK1(X0,X1),X0)
| member(sK1(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X0)
| member(X2,X1) ) ) )
& ( ! [X3] :
( ( member(X3,X1)
| ~ member(X3,X0) )
& ( member(X3,X0)
| ~ member(X3,X1) ) )
| X0 != X1 ) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X0)
| member(X2,X1) ) ) )
& ( ! [X2] :
( ( member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X0)
| ~ member(X2,X1) ) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X1)
<=> member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f38,plain,
sK3 != union(sK2,sK3),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( subset(sK2,sK3)
& sK3 != union(sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f11,f22]) ).
fof(f22,plain,
( ? [X0,X1] :
( subset(X0,X1)
& union(X0,X1) != X1 )
=> ( subset(sK2,sK3)
& sK3 != union(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0,X1] :
( subset(X0,X1)
& union(X0,X1) != X1 ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,X1)
=> union(X0,X1) = X1 ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X1] :
( subset(X0,X1)
=> union(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subset_union) ).
fof(f794,plain,
member(sK1(union(sK2,sK3),sK3),sK3),
inference(subsumption_resolution,[],[f784,f38]) ).
fof(f784,plain,
( sK3 = union(sK2,sK3)
| member(sK1(union(sK2,sK3),sK3),sK3) ),
inference(factoring,[],[f203]) ).
fof(f203,plain,
! [X0] :
( member(sK1(union(sK2,X0),sK3),sK3)
| member(sK1(union(sK2,X0),sK3),X0)
| sK3 = union(sK2,X0) ),
inference(subsumption_resolution,[],[f202,f36]) ).
fof(f36,plain,
! [X0,X1] :
( X0 = X1
| member(sK1(X0,X1),X0)
| member(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f202,plain,
! [X0] :
( member(sK1(union(sK2,X0),sK3),X0)
| ~ member(sK1(union(sK2,X0),sK3),union(sK2,X0))
| member(sK1(union(sK2,X0),sK3),sK3)
| sK3 = union(sK2,X0) ),
inference(duplicate_literal_removal,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ~ member(sK1(union(sK2,X0),sK3),union(sK2,X0))
| sK3 = union(sK2,X0)
| member(sK1(union(sK2,X0),sK3),sK3)
| sK3 = union(sK2,X0)
| member(sK1(union(sK2,X0),sK3),X0) ),
inference(resolution,[],[f108,f36]) ).
fof(f108,plain,
! [X0,X1] :
( ~ member(sK1(X0,sK3),union(sK2,X1))
| ~ member(sK1(X0,sK3),X0)
| member(sK1(X0,sK3),X1)
| sK3 = X0 ),
inference(resolution,[],[f72,f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f72,plain,
! [X7] :
( ~ member(sK1(X7,sK3),sK2)
| sK3 = X7
| ~ member(sK1(X7,sK3),X7) ),
inference(resolution,[],[f51,f37]) ).
fof(f51,plain,
! [X0] :
( member(X0,sK3)
| ~ member(X0,sK2) ),
inference(resolution,[],[f39,f31]) ).
fof(f31,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ subset(X0,X1)
| ~ member(X3,X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
fof(f16,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
=> ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
! [X1,X0] :
( ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f39,plain,
subset(sK2,sK3),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET185+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 13:24:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 % (7605)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.47 % (7588)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)
% 0.19/0.48 % (7596)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)
% 0.19/0.48 % (7586)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)
% 0.19/0.49 % (7604)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)
% 0.19/0.50 % (7583)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)
% 0.19/0.50 % (7583)Refutation not found, incomplete strategy% (7583)------------------------------
% 0.19/0.50 % (7583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (7583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (7583)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (7583)Memory used [KB]: 5884
% 0.19/0.50 % (7583)Time elapsed: 0.103 s
% 0.19/0.50 % (7583)Instructions burned: 2 (million)
% 0.19/0.50 % (7583)------------------------------
% 0.19/0.50 % (7583)------------------------------
% 0.19/0.50 % (7596)Instruction limit reached!
% 0.19/0.50 % (7596)------------------------------
% 0.19/0.50 % (7596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (7596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (7596)Termination reason: Unknown
% 0.19/0.50 % (7596)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (7596)Memory used [KB]: 6012
% 0.19/0.50 % (7596)Time elapsed: 0.102 s
% 0.19/0.50 % (7596)Instructions burned: 3 (million)
% 0.19/0.50 % (7596)------------------------------
% 0.19/0.50 % (7596)------------------------------
% 0.19/0.50 % (7586)Instruction limit reached!
% 0.19/0.50 % (7586)------------------------------
% 0.19/0.50 % (7586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (7586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (7586)Termination reason: Unknown
% 0.19/0.50 % (7586)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (7586)Memory used [KB]: 1535
% 0.19/0.50 % (7586)Time elapsed: 0.093 s
% 0.19/0.50 % (7586)Instructions burned: 15 (million)
% 0.19/0.50 % (7586)------------------------------
% 0.19/0.50 % (7586)------------------------------
% 0.19/0.50 % (7592)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)
% 0.19/0.50 % (7584)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)
% 0.19/0.50 % (7592)Refutation not found, incomplete strategy% (7592)------------------------------
% 0.19/0.50 % (7592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (7592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (7592)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (7592)Memory used [KB]: 6012
% 0.19/0.50 % (7592)Time elapsed: 0.110 s
% 0.19/0.50 % (7592)Instructions burned: 2 (million)
% 0.19/0.50 % (7592)------------------------------
% 0.19/0.50 % (7592)------------------------------
% 0.19/0.50 % (7584)Refutation not found, incomplete strategy% (7584)------------------------------
% 0.19/0.50 % (7584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (7584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (7584)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (7584)Memory used [KB]: 5884
% 0.19/0.50 % (7584)Time elapsed: 0.108 s
% 0.19/0.50 % (7584)Instructions burned: 2 (million)
% 0.19/0.50 % (7584)------------------------------
% 0.19/0.50 % (7584)------------------------------
% 0.19/0.50 % (7610)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)
% 0.19/0.50 % (7588)First to succeed.
% 0.19/0.51 % (7588)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 % (7588)------------------------------
% 0.19/0.51 % (7588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (7588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (7588)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (7588)Memory used [KB]: 6396
% 0.19/0.51 % (7588)Time elapsed: 0.065 s
% 0.19/0.51 % (7588)Instructions burned: 37 (million)
% 0.19/0.51 % (7588)------------------------------
% 0.19/0.51 % (7588)------------------------------
% 0.19/0.51 % (7577)Success in time 0.159 s
%------------------------------------------------------------------------------