TSTP Solution File: SYN979+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN979+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n029.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 19:36:15 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 24 ( 8 avg)
% Number of connectives : 129 ( 28 ~; 19 |; 69 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 36 ( 22 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,plain,
$false,
inference(resolution,[],[f18,f9]) ).
fof(f9,plain,
~ p(sK1,sK0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X2,X3] :
( ( p(X2,sK1)
| ~ q(X2) )
& r(sK0)
& ( ~ s(sK1)
| p(X2,X3) )
& q(sK1)
& ( p(sK0,X3)
| ~ r(X3) )
& r(sK1)
& q(sK0)
& s(sK1)
& ~ p(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f7]) ).
fof(f7,plain,
( ? [X0,X1] :
! [X2,X3] :
( ( p(X2,X1)
| ~ q(X2) )
& r(X0)
& ( ~ s(X1)
| p(X2,X3) )
& q(X1)
& ( p(X0,X3)
| ~ r(X3) )
& r(X1)
& q(X0)
& s(X1)
& ~ p(X1,X0) )
=> ! [X3,X2] :
( ( p(X2,sK1)
| ~ q(X2) )
& r(sK0)
& ( ~ s(sK1)
| p(X2,X3) )
& q(sK1)
& ( p(sK0,X3)
| ~ r(X3) )
& r(sK1)
& q(sK0)
& s(sK1)
& ~ p(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
? [X0,X1] :
! [X2,X3] :
( ( p(X2,X1)
| ~ q(X2) )
& r(X0)
& ( ~ s(X1)
| p(X2,X3) )
& q(X1)
& ( p(X0,X3)
| ~ r(X3) )
& r(X1)
& q(X0)
& s(X1)
& ~ p(X1,X0) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
? [X1,X0] :
! [X3,X2] :
( ( p(X3,X0)
| ~ q(X3) )
& r(X1)
& ( ~ s(X0)
| p(X3,X2) )
& q(X0)
& ( p(X1,X2)
| ~ r(X2) )
& r(X0)
& q(X1)
& s(X0)
& ~ p(X0,X1) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
? [X1,X0] :
! [X2,X3] :
( ~ p(X0,X1)
& s(X0)
& q(X0)
& ( p(X3,X0)
| ~ q(X3) )
& ( ~ s(X0)
| p(X3,X2) )
& ( p(X1,X2)
| ~ r(X2) )
& r(X1)
& r(X0)
& q(X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ! [X1,X0] :
? [X2,X3] :
( ( s(X0)
& q(X0)
& ( q(X3)
=> p(X3,X0) )
& ( s(X0)
=> p(X3,X2) )
& ( r(X2)
=> p(X1,X2) )
& r(X1)
& r(X0)
& q(X1) )
=> p(X0,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
? [X3,X2] :
( ( r(X0)
& q(X1)
& s(X0)
& ( r(X3)
=> p(X1,X3) )
& ( s(X0)
=> p(X2,X3) )
& ( q(X2)
=> p(X2,X0) )
& q(X0)
& r(X1) )
=> p(X0,X1) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
? [X3,X2] :
( ( r(X0)
& q(X1)
& s(X0)
& ( r(X3)
=> p(X1,X3) )
& ( s(X0)
=> p(X2,X3) )
& ( q(X2)
=> p(X2,X0) )
& q(X0)
& r(X1) )
=> p(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f18,plain,
! [X2,X3] : p(X2,X3),
inference(subsumption_resolution,[],[f15,f10]) ).
fof(f10,plain,
s(sK1),
inference(cnf_transformation,[],[f8]) ).
fof(f15,plain,
! [X2,X3] :
( p(X2,X3)
| ~ s(sK1) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN979+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 22:43:42 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.51 % (8824)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (8815)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)
% 0.20/0.52 % (8832)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)
% 0.20/0.52 % (8824)First to succeed.
% 0.20/0.52 % (8824)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (8824)------------------------------
% 0.20/0.52 % (8824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (8824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (8824)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (8824)Memory used [KB]: 5884
% 0.20/0.52 % (8824)Time elapsed: 0.103 s
% 0.20/0.52 % (8824)Instructions burned: 1 (million)
% 0.20/0.52 % (8824)------------------------------
% 0.20/0.52 % (8824)------------------------------
% 0.20/0.52 % (8807)Success in time 0.159 s
%------------------------------------------------------------------------------