TSTP Solution File: SYN726+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN726+1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n016.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 19:28:13 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 149 ( 47 ~; 53 |; 35 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 137 ( 121 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f72,plain,
$false,
inference(resolution,[],[f71,f15]) ).
fof(f15,plain,
~ p(sK1,sK0),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ~ p(sK1,sK0)
& ~ q(sK3,sK2)
& ! [X4,X5,X6] :
( ~ p(X6,X5)
| p(X4,X5)
| ~ p(X4,X6) )
& ! [X7,X8] :
( ~ q(X8,X7)
| q(X7,X8) )
& ! [X9,X10] :
( q(X10,X9)
| p(X10,X9) )
& ! [X11,X12,X13] :
( q(X12,X11)
| ~ q(X13,X11)
| ~ q(X12,X13) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0,X1] : ~ p(X1,X0)
=> ~ p(sK1,sK0) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X2,X3] : ~ q(X3,X2)
=> ~ q(sK3,sK2) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ? [X0,X1] : ~ p(X1,X0)
& ? [X2,X3] : ~ q(X3,X2)
& ! [X4,X5,X6] :
( ~ p(X6,X5)
| p(X4,X5)
| ~ p(X4,X6) )
& ! [X7,X8] :
( ~ q(X8,X7)
| q(X7,X8) )
& ! [X9,X10] :
( q(X10,X9)
| p(X10,X9) )
& ! [X11,X12,X13] :
( q(X12,X11)
| ~ q(X13,X11)
| ~ q(X12,X13) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ? [X12,X13] : ~ p(X13,X12)
& ? [X1,X0] : ~ q(X0,X1)
& ! [X3,X4,X2] :
( ~ p(X2,X4)
| p(X3,X4)
| ~ p(X3,X2) )
& ! [X7,X8] :
( ~ q(X8,X7)
| q(X7,X8) )
& ! [X5,X6] :
( q(X6,X5)
| p(X6,X5) )
& ! [X11,X10,X9] :
( q(X10,X11)
| ~ q(X9,X11)
| ~ q(X10,X9) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ? [X1,X0] : ~ q(X0,X1)
& ? [X12,X13] : ~ p(X13,X12)
& ! [X3,X2,X4] :
( p(X3,X4)
| ~ p(X3,X2)
| ~ p(X2,X4) )
& ! [X7,X8] :
( ~ q(X8,X7)
| q(X7,X8) )
& ! [X10,X9,X11] :
( q(X10,X11)
| ~ q(X9,X11)
| ~ q(X10,X9) )
& ! [X5,X6] :
( q(X6,X5)
| p(X6,X5) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ! [X1,X0] : q(X0,X1)
| ( ( ! [X3,X2,X4] :
( ( p(X3,X2)
& p(X2,X4) )
=> p(X3,X4) )
& ! [X8,X7] :
( q(X8,X7)
=> q(X7,X8) )
& ! [X10,X9,X11] :
( ( q(X9,X11)
& q(X10,X9) )
=> q(X10,X11) )
& ! [X5,X6] :
( q(X6,X5)
| p(X6,X5) ) )
=> ! [X13,X12] : p(X13,X12) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X1,X0] : q(X0,X1)
| ( ( ! [X1,X0,X2] :
( ( p(X0,X1)
& p(X1,X2) )
=> p(X0,X2) )
& ! [X1,X0] :
( p(X0,X1)
| q(X0,X1) )
& ! [X1,X0] :
( q(X0,X1)
=> q(X1,X0) )
& ! [X1,X0,X2] :
( ( q(X1,X2)
& q(X0,X1) )
=> q(X0,X2) ) )
=> ! [X1,X0] : p(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X1,X0] : q(X0,X1)
| ( ( ! [X1,X0,X2] :
( ( p(X0,X1)
& p(X1,X2) )
=> p(X0,X2) )
& ! [X1,X0] :
( p(X0,X1)
| q(X0,X1) )
& ! [X1,X0] :
( q(X0,X1)
=> q(X1,X0) )
& ! [X1,X0,X2] :
( ( q(X1,X2)
& q(X0,X1) )
=> q(X0,X2) ) )
=> ! [X1,X0] : p(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm400) ).
fof(f71,plain,
! [X0,X1] : p(X0,X1),
inference(subsumption_resolution,[],[f68,f40]) ).
fof(f40,plain,
! [X0] : p(X0,sK2),
inference(resolution,[],[f39,f22]) ).
fof(f22,plain,
! [X0] :
( ~ p(X0,sK3)
| p(X0,sK2) ),
inference(resolution,[],[f13,f16]) ).
fof(f16,plain,
p(sK3,sK2),
inference(resolution,[],[f11,f14]) ).
fof(f14,plain,
~ q(sK3,sK2),
inference(cnf_transformation,[],[f9]) ).
fof(f11,plain,
! [X10,X9] :
( q(X10,X9)
| p(X10,X9) ),
inference(cnf_transformation,[],[f9]) ).
fof(f13,plain,
! [X6,X4,X5] :
( ~ p(X6,X5)
| p(X4,X5)
| ~ p(X4,X6) ),
inference(cnf_transformation,[],[f9]) ).
fof(f39,plain,
! [X0] : p(X0,sK3),
inference(subsumption_resolution,[],[f34,f23]) ).
fof(f23,plain,
! [X1] :
( ~ p(X1,sK2)
| p(X1,sK3) ),
inference(resolution,[],[f13,f18]) ).
fof(f18,plain,
p(sK2,sK3),
inference(resolution,[],[f17,f14]) ).
fof(f17,plain,
! [X0,X1] :
( q(X0,X1)
| p(X1,X0) ),
inference(resolution,[],[f12,f11]) ).
fof(f12,plain,
! [X8,X7] :
( ~ q(X8,X7)
| q(X7,X8) ),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
! [X0] :
( p(X0,sK2)
| p(X0,sK3) ),
inference(resolution,[],[f30,f14]) ).
fof(f30,plain,
! [X2,X0,X1] :
( q(X2,X1)
| p(X0,X1)
| p(X0,X2) ),
inference(resolution,[],[f21,f17]) ).
fof(f21,plain,
! [X3,X4,X5] :
( ~ q(X3,X5)
| p(X5,X4)
| q(X3,X4) ),
inference(resolution,[],[f10,f11]) ).
fof(f10,plain,
! [X11,X12,X13] :
( ~ q(X13,X11)
| q(X12,X11)
| ~ q(X12,X13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f68,plain,
! [X0,X1] :
( ~ p(X0,sK2)
| p(X0,X1) ),
inference(resolution,[],[f66,f13]) ).
fof(f66,plain,
! [X0] : p(sK2,X0),
inference(factoring,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( p(sK2,X0)
| p(X1,X0) ),
inference(subsumption_resolution,[],[f59,f39]) ).
fof(f59,plain,
! [X0,X1] :
( ~ p(X1,sK3)
| p(X1,X0)
| p(sK2,X0) ),
inference(resolution,[],[f54,f13]) ).
fof(f54,plain,
! [X0] :
( p(sK3,X0)
| p(sK2,X0) ),
inference(resolution,[],[f33,f14]) ).
fof(f33,plain,
! [X3,X4,X5] :
( q(X5,X3)
| p(X3,X4)
| p(X5,X4) ),
inference(resolution,[],[f20,f11]) ).
fof(f20,plain,
! [X2,X0,X1] :
( ~ q(X0,X2)
| p(X1,X2)
| q(X0,X1) ),
inference(resolution,[],[f10,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN726+1 : TPTP v8.1.0. Released v2.5.0.
% 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
% 0.13/0.34 % Computer : n016.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 22:40:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (20654)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)
% 0.20/0.49 % (20659)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)
% 0.20/0.50 % (20655)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)
% 0.20/0.50 % (20655)Instruction limit reached!
% 0.20/0.50 % (20655)------------------------------
% 0.20/0.50 % (20655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (20655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (20655)Termination reason: Unknown
% 0.20/0.50 % (20655)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (20655)Memory used [KB]: 5884
% 0.20/0.50 % (20655)Time elapsed: 0.113 s
% 0.20/0.50 % (20655)Instructions burned: 3 (million)
% 0.20/0.50 % (20655)------------------------------
% 0.20/0.50 % (20655)------------------------------
% 0.20/0.50 % (20658)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)
% 0.20/0.50 % (20659)First to succeed.
% 0.20/0.50 % (20661)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)
% 0.20/0.51 % (20667)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)
% 0.20/0.51 % (20653)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51 % (20674)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (20659)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (20659)------------------------------
% 0.20/0.51 % (20659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (20659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (20659)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (20659)Memory used [KB]: 5884
% 0.20/0.51 % (20659)Time elapsed: 0.097 s
% 0.20/0.51 % (20659)Instructions burned: 4 (million)
% 0.20/0.51 % (20659)------------------------------
% 0.20/0.51 % (20659)------------------------------
% 0.20/0.51 % (20652)Success in time 0.162 s
%------------------------------------------------------------------------------