TSTP Solution File: SYN406+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN406+1 : TPTP v8.1.0. Released v2.0.0.
% 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 19:26:31 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 52 ( 17 ~; 10 |; 20 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 20 ( 12 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,plain,
$false,
inference(subsumption_resolution,[],[f13,f12]) ).
fof(f12,plain,
~ g(sK0),
inference(resolution,[],[f10,f8]) ).
fof(f8,plain,
h(sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
( ! [X0] :
( ~ f(X0)
| g(X0) )
& ! [X1] :
( ~ h(X1)
| ~ g(X1) )
& f(sK0)
& h(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).
fof(f6,plain,
( ? [X2] :
( f(X2)
& h(X2) )
=> ( f(sK0)
& h(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
( ! [X0] :
( ~ f(X0)
| g(X0) )
& ! [X1] :
( ~ h(X1)
| ~ g(X1) )
& ? [X2] :
( f(X2)
& h(X2) ) ),
inference(rectify,[],[f4]) ).
fof(f4,plain,
( ! [X0] :
( ~ f(X0)
| g(X0) )
& ! [X2] :
( ~ h(X2)
| ~ g(X2) )
& ? [X1] :
( f(X1)
& h(X1) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
( ! [X2] :
( ~ h(X2)
| ~ g(X2) )
& ! [X0] :
( ~ f(X0)
| g(X0) )
& ? [X1] :
( f(X1)
& h(X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0] :
( f(X0)
=> g(X0) )
& ? [X1] :
( f(X1)
& h(X1) ) )
=> ? [X2] :
( g(X2)
& h(X2) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X0] :
( f(X0)
=> g(X0) )
& ? [X1] :
( f(X1)
& h(X1) ) )
=> ? [X2] :
( g(X2)
& h(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish240) ).
fof(f10,plain,
! [X1] :
( ~ h(X1)
| ~ g(X1) ),
inference(cnf_transformation,[],[f7]) ).
fof(f13,plain,
g(sK0),
inference(resolution,[],[f11,f9]) ).
fof(f9,plain,
f(sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
! [X0] :
( ~ f(X0)
| g(X0) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN406+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 21:51:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (16515)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)
% 0.18/0.48 % (16512)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)
% 0.18/0.49 % (16530)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.18/0.50 % (16522)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50 % (16513)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)
% 0.18/0.50 % (16515)First to succeed.
% 0.18/0.50 % (16509)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.50 % (16515)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (16515)------------------------------
% 0.18/0.50 % (16515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (16515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (16515)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (16515)Memory used [KB]: 5884
% 0.18/0.50 % (16515)Time elapsed: 0.104 s
% 0.18/0.50 % (16515)Instructions burned: 2 (million)
% 0.18/0.50 % (16515)------------------------------
% 0.18/0.50 % (16515)------------------------------
% 0.18/0.50 % (16504)Success in time 0.159 s
%------------------------------------------------------------------------------