TSTP Solution File: SET994+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET994+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n002.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 18:22:58 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 22 unt; 0 def)
% Number of atoms : 103 ( 40 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 98 ( 35 ~; 31 |; 20 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 50 ( 43 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f281,plain,
$false,
inference(subsumption_resolution,[],[f280,f79]) ).
fof(f79,plain,
empty(n0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
empty(n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spc0_boole) ).
fof(f280,plain,
~ empty(n0),
inference(backward_demodulation,[],[f88,f278]) ).
fof(f278,plain,
n0 = n1,
inference(forward_demodulation,[],[f172,f156]) ).
fof(f156,plain,
n0 = apply(sK1(sK5),sK10(sK5)),
inference(unit_resulting_resolution,[],[f112,f67]) ).
fof(f67,plain,
! [X2,X0] :
( ~ in(X2,X0)
| n0 = apply(sK1(X0),X2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
? [X1] :
( relation_dom(X1) = X0
& function(X1)
& relation(X1)
& ! [X2] :
( apply(X1,X2) = n0
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
? [X1] :
( ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = n0 )
& relation(X1)
& function(X1)
& relation_dom(X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_funct_1__e4_14__funct_1) ).
fof(f112,plain,
in(sK10(sK5),sK5),
inference(unit_resulting_resolution,[],[f100,f108,f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X1,X0] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f108,plain,
~ empty(sK5),
inference(unit_resulting_resolution,[],[f81,f102]) ).
fof(f102,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f81,plain,
empty_set != sK5,
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
? [X0] :
( ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| relation_dom(X2) != X0
| X1 = X2
| relation_dom(X1) != X0 )
| ~ function(X1) )
& empty_set != X0 ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
? [X0] :
( empty_set != X0
& ! [X1] :
( ! [X2] :
( X1 = X2
| relation_dom(X2) != X0
| relation_dom(X1) != X0
| ~ relation(X2)
| ~ function(X2) )
| ~ function(X1)
| ~ relation(X1) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( relation_dom(X2) = X0
& relation_dom(X1) = X0 )
=> X1 = X2 ) ) )
=> empty_set = X0 ),
inference(negated_conjecture,[],[f24]) ).
fof(f24,conjecture,
! [X0] :
( ! [X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( relation_dom(X2) = X0
& relation_dom(X1) = X0 )
=> X1 = X2 ) ) )
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_funct_1) ).
fof(f100,plain,
! [X0] : element(sK10(X0),X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f172,plain,
n1 = apply(sK1(sK5),sK10(sK5)),
inference(forward_demodulation,[],[f168,f115]) ).
fof(f115,plain,
sK6(sK5) = sK1(sK5),
inference(unit_resulting_resolution,[],[f68,f87,f86,f69,f70,f85,f80]) ).
fof(f80,plain,
! [X2,X1] :
( relation_dom(X2) != sK5
| relation_dom(X1) != sK5
| ~ function(X1)
| X1 = X2
| ~ function(X2)
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f85,plain,
! [X0] : relation_dom(sK6(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
? [X1] :
( ! [X2] :
( apply(X1,X2) = n1
| ~ in(X2,X0) )
& relation(X1)
& function(X1)
& relation_dom(X1) = X0 ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
? [X1] :
( relation(X1)
& ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = n1 )
& relation_dom(X1) = X0
& function(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_funct_1__e7_14__funct_1) ).
fof(f70,plain,
! [X0] : relation_dom(sK1(X0)) = X0,
inference(cnf_transformation,[],[f60]) ).
fof(f69,plain,
! [X0] : function(sK1(X0)),
inference(cnf_transformation,[],[f60]) ).
fof(f86,plain,
! [X0] : function(sK6(X0)),
inference(cnf_transformation,[],[f40]) ).
fof(f87,plain,
! [X0] : relation(sK6(X0)),
inference(cnf_transformation,[],[f40]) ).
fof(f68,plain,
! [X0] : relation(sK1(X0)),
inference(cnf_transformation,[],[f60]) ).
fof(f168,plain,
n1 = apply(sK6(sK5),sK10(sK5)),
inference(resolution,[],[f112,f84]) ).
fof(f84,plain,
! [X2,X0] :
( ~ in(X2,X0)
| n1 = apply(sK6(X0),X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f88,plain,
~ empty(n1),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
~ empty(n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spc1_boole) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET994+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % 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 : n002.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 14:46:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (27770)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)
% 0.19/0.50 % (27763)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50 % (27771)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)
% 0.19/0.51 % (27785)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)
% 0.19/0.51 % (27773)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.51 % (27777)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)
% 0.19/0.51 % (27777)Instruction limit reached!
% 0.19/0.51 % (27777)------------------------------
% 0.19/0.51 % (27777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (27777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (27777)Termination reason: Unknown
% 0.19/0.51 % (27777)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (27777)Memory used [KB]: 6012
% 0.19/0.51 % (27777)Time elapsed: 0.004 s
% 0.19/0.51 % (27777)Instructions burned: 3 (million)
% 0.19/0.51 % (27777)------------------------------
% 0.19/0.51 % (27777)------------------------------
% 0.19/0.51 % (27769)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)
% 0.19/0.51 % (27787)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)
% 0.19/0.51 % (27771)First to succeed.
% 0.19/0.51 % (27775)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)
% 0.19/0.52 % (27771)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (27771)------------------------------
% 0.19/0.52 % (27771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (27771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (27771)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (27771)Memory used [KB]: 6140
% 0.19/0.52 % (27771)Time elapsed: 0.112 s
% 0.19/0.52 % (27771)Instructions burned: 8 (million)
% 0.19/0.52 % (27771)------------------------------
% 0.19/0.52 % (27771)------------------------------
% 0.19/0.52 % (27762)Success in time 0.169 s
%------------------------------------------------------------------------------