TSTP Solution File: SET588+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET588+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 18:21:31 EDT 2022
% Result : Theorem 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 9 unt; 0 def)
% Number of atoms : 117 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 123 ( 51 ~; 41 |; 21 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 81 ( 69 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f231,plain,
$false,
inference(subsumption_resolution,[],[f230,f31]) ).
fof(f31,plain,
~ subset(sF4,sF5),
inference(definition_folding,[],[f21,f30,f29]) ).
fof(f29,plain,
sF4 = difference(sK0,sK1),
introduced(function_definition,[]) ).
fof(f30,plain,
sF5 = difference(sK2,sK1),
introduced(function_definition,[]) ).
fof(f21,plain,
~ subset(difference(sK0,sK1),difference(sK2,sK1)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
( subset(sK0,sK2)
& ~ subset(difference(sK0,sK1),difference(sK2,sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f10,f11]) ).
fof(f11,plain,
( ? [X0,X1,X2] :
( subset(X0,X2)
& ~ subset(difference(X0,X1),difference(X2,X1)) )
=> ( subset(sK0,sK2)
& ~ subset(difference(sK0,sK1),difference(sK2,sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
? [X0,X1,X2] :
( subset(X0,X2)
& ~ subset(difference(X0,X1),difference(X2,X1)) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
? [X2,X1,X0] :
( subset(X2,X0)
& ~ subset(difference(X2,X1),difference(X0,X1)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ! [X1,X0,X2] :
( subset(X2,X0)
=> subset(difference(X2,X1),difference(X0,X1)) ),
inference(rectify,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X1,X2,X0] :
( subset(X0,X1)
=> subset(difference(X0,X2),difference(X1,X2)) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X1,X2,X0] :
( subset(X0,X1)
=> subset(difference(X0,X2),difference(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_difference_subset1) ).
fof(f230,plain,
subset(sF4,sF5),
inference(forward_demodulation,[],[f229,f30]) ).
fof(f229,plain,
subset(sF4,difference(sK2,sK1)),
inference(subsumption_resolution,[],[f212,f24]) ).
fof(f24,plain,
! [X0,X1] :
( member(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( member(sK3(X0,X1),X0)
& ~ member(sK3(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f14,f15]) ).
fof(f15,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) )
=> ( member(sK3(X0,X1),X0)
& ~ member(sK3(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X1] :
( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f212,plain,
( ~ member(sK3(sF4,difference(sK2,sK1)),sF4)
| subset(sF4,difference(sK2,sK1)) ),
inference(resolution,[],[f204,f63]) ).
fof(f63,plain,
! [X0] :
( member(X0,sK2)
| ~ member(X0,sF4) ),
inference(resolution,[],[f62,f25]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f62,plain,
subset(sF4,sK2),
inference(duplicate_literal_removal,[],[f61]) ).
fof(f61,plain,
( subset(sF4,sK2)
| subset(sF4,sK2) ),
inference(resolution,[],[f53,f24]) ).
fof(f53,plain,
! [X0] :
( ~ member(sK3(X0,sK2),sF4)
| subset(X0,sK2) ),
inference(resolution,[],[f43,f35]) ).
fof(f35,plain,
! [X0] :
( member(X0,sK0)
| ~ member(X0,sF4) ),
inference(superposition,[],[f26,f29]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ member(X1,difference(X0,X2))
| member(X1,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( member(X1,difference(X0,X2))
| member(X1,X2)
| ~ member(X1,X0) )
& ( ( ~ member(X1,X2)
& member(X1,X0) )
| ~ member(X1,difference(X0,X2)) ) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X1,X0,X2] :
( ( member(X0,difference(X1,X2))
| member(X0,X2)
| ~ member(X0,X1) )
& ( ( ~ member(X0,X2)
& member(X0,X1) )
| ~ member(X0,difference(X1,X2)) ) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
! [X1,X0,X2] :
( ( member(X0,difference(X1,X2))
| member(X0,X2)
| ~ member(X0,X1) )
& ( ( ~ member(X0,X2)
& member(X0,X1) )
| ~ member(X0,difference(X1,X2)) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X1,X0,X2] :
( member(X0,difference(X1,X2))
<=> ( ~ member(X0,X2)
& member(X0,X1) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
<=> ( member(X2,X0)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
fof(f43,plain,
! [X0] :
( ~ member(sK3(X0,sK2),sK0)
| subset(X0,sK2) ),
inference(resolution,[],[f41,f23]) ).
fof(f23,plain,
! [X0,X1] :
( ~ member(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f41,plain,
! [X0] :
( member(X0,sK2)
| ~ member(X0,sK0) ),
inference(resolution,[],[f25,f22]) ).
fof(f22,plain,
subset(sK0,sK2),
inference(cnf_transformation,[],[f12]) ).
fof(f204,plain,
! [X15] :
( ~ member(sK3(sF4,difference(X15,sK1)),X15)
| subset(sF4,difference(X15,sK1)) ),
inference(duplicate_literal_removal,[],[f180]) ).
fof(f180,plain,
! [X15] :
( subset(sF4,difference(X15,sK1))
| ~ member(sK3(sF4,difference(X15,sK1)),X15)
| subset(sF4,difference(X15,sK1)) ),
inference(resolution,[],[f46,f45]) ).
fof(f45,plain,
! [X0] :
( ~ member(sK3(sF4,X0),sK1)
| subset(sF4,X0) ),
inference(resolution,[],[f39,f24]) ).
fof(f39,plain,
! [X0] :
( ~ member(X0,sF4)
| ~ member(X0,sK1) ),
inference(superposition,[],[f27,f29]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ member(X1,difference(X0,X2))
| ~ member(X1,X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f46,plain,
! [X2,X0,X1] :
( member(sK3(X0,difference(X1,X2)),X2)
| ~ member(sK3(X0,difference(X1,X2)),X1)
| subset(X0,difference(X1,X2)) ),
inference(resolution,[],[f28,f23]) ).
fof(f28,plain,
! [X2,X0,X1] :
( member(X1,difference(X0,X2))
| ~ member(X1,X0)
| member(X1,X2) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET588+3 : TPTP v8.1.0. Released v2.2.0.
% 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
% 0.12/0.34 % 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 14:02:05 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.19/0.55 % (1115)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.55 % (1118)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)
% 0.19/0.56 % (1140)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.56 % (1139)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)
% 0.19/0.56 % (1138)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)
% 0.19/0.56 % (1115)First to succeed.
% 0.19/0.56 % (1127)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)
% 0.19/0.56 % (1127)Refutation not found, incomplete strategy% (1127)------------------------------
% 0.19/0.56 % (1127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (1115)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Theorem for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (1115)------------------------------
% 0.19/0.56 % (1115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (1115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (1115)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (1115)Memory used [KB]: 6012
% 0.19/0.56 % (1115)Time elapsed: 0.147 s
% 0.19/0.56 % (1115)Instructions burned: 7 (million)
% 0.19/0.56 % (1115)------------------------------
% 0.19/0.56 % (1115)------------------------------
% 0.19/0.56 % (1114)Success in time 0.209 s
%------------------------------------------------------------------------------