TSTP Solution File: SYN328+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN328+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_sat --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 19:37:32 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 1
% Syntax : Number of formulae : 29 ( 5 unt; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 116 ( 29 ~; 37 |; 14 &)
% ( 15 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 38 ( 31 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f63,plain,
$false,
inference(resolution,[],[f62,f49]) ).
fof(f49,plain,
! [X1] : big_f(X1),
inference(resolution,[],[f47,f13]) ).
fof(f13,plain,
! [X0] :
( ~ big_g(sK0(X0))
| big_f(X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f5,plain,
! [X0] :
? [X2,X1] :
( ( ( big_h(X2)
| ~ big_f(X2) )
<=> big_g(X0) )
& ( big_f(X0)
<=> ( ~ big_f(X2)
| big_g(X2) ) )
& ( ~ big_g(X1)
| ~ big_h(X1)
| ~ big_f(X1) )
& ( big_h(X0)
<=> ( big_h(X2)
| ( ~ big_g(X2)
& big_f(X2) ) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
! [X0] :
? [X2,X1] :
( ( ~ big_g(X1)
| ~ big_h(X1)
| ~ big_f(X1) )
& ( big_h(X0)
<=> ( big_h(X2)
| ( ~ big_g(X2)
& big_f(X2) ) ) )
& ( ( big_h(X2)
| ~ big_f(X2) )
<=> big_g(X0) )
& ( big_f(X0)
<=> ( ~ big_f(X2)
| big_g(X2) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ? [X0] :
! [X2,X1] :
( ( ( big_f(X2)
=> big_g(X2) )
<=> big_f(X0) )
=> ( ( big_g(X0)
<=> ( big_f(X2)
=> big_h(X2) ) )
=> ( ( big_h(X0)
<=> ( ( big_f(X2)
=> big_g(X2) )
=> big_h(X2) ) )
=> ( big_h(X1)
& big_f(X1)
& big_g(X1) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0] :
! [X2,X1] :
( ( big_f(X0)
<=> ( big_f(X1)
=> big_g(X1) ) )
=> ( ( big_g(X0)
<=> ( big_f(X1)
=> big_h(X1) ) )
=> ( ( ( ( big_f(X1)
=> big_g(X1) )
=> big_h(X1) )
<=> big_h(X0) )
=> ( big_g(X2)
& big_h(X2)
& big_f(X2) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0] :
! [X2,X1] :
( ( big_f(X0)
<=> ( big_f(X1)
=> big_g(X1) ) )
=> ( ( big_g(X0)
<=> ( big_f(X1)
=> big_h(X1) ) )
=> ( ( ( ( big_f(X1)
=> big_g(X1) )
=> big_h(X1) )
<=> big_h(X0) )
=> ( big_g(X2)
& big_h(X2)
& big_f(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_12_3) ).
fof(f47,plain,
! [X1] : big_g(X1),
inference(resolution,[],[f45,f10]) ).
fof(f10,plain,
! [X0] :
( ~ big_h(sK0(X0))
| big_g(X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f45,plain,
! [X0] : big_h(X0),
inference(duplicate_literal_removal,[],[f43]) ).
fof(f43,plain,
! [X0] :
( big_h(X0)
| big_h(X0) ),
inference(resolution,[],[f41,f15]) ).
fof(f15,plain,
! [X0] :
( ~ big_h(sK0(X0))
| big_h(X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f41,plain,
! [X1] :
( big_h(sK0(X1))
| big_h(X1) ),
inference(resolution,[],[f39,f24]) ).
fof(f24,plain,
! [X0] :
( big_g(sK0(X0))
| big_h(X0) ),
inference(duplicate_literal_removal,[],[f23]) ).
fof(f23,plain,
! [X0] :
( big_g(sK0(X0))
| big_h(X0)
| big_h(X0) ),
inference(resolution,[],[f21,f6]) ).
fof(f6,plain,
! [X0] :
( ~ big_f(sK0(X0))
| big_g(sK0(X0))
| big_h(X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f21,plain,
! [X0] :
( big_f(sK0(X0))
| big_h(X0) ),
inference(resolution,[],[f20,f15]) ).
fof(f20,plain,
! [X0] :
( big_h(X0)
| big_f(X0) ),
inference(duplicate_literal_removal,[],[f19]) ).
fof(f19,plain,
! [X0] :
( big_f(X0)
| big_h(X0)
| big_f(X0) ),
inference(resolution,[],[f17,f13]) ).
fof(f17,plain,
! [X0] :
( big_g(sK0(X0))
| big_h(X0)
| big_f(X0) ),
inference(resolution,[],[f6,f14]) ).
fof(f14,plain,
! [X0] :
( big_f(sK0(X0))
| big_f(X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f39,plain,
! [X0] :
( ~ big_g(X0)
| big_h(X0) ),
inference(duplicate_literal_removal,[],[f37]) ).
fof(f37,plain,
! [X0] :
( big_h(X0)
| big_h(X0)
| ~ big_g(X0) ),
inference(resolution,[],[f32,f15]) ).
fof(f32,plain,
! [X0] :
( big_h(sK0(X0))
| big_h(X0)
| ~ big_g(X0) ),
inference(resolution,[],[f11,f21]) ).
fof(f11,plain,
! [X0] :
( ~ big_f(sK0(X0))
| big_h(sK0(X0))
| ~ big_g(X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f62,plain,
! [X0] : ~ big_f(sK1(X0)),
inference(resolution,[],[f60,f47]) ).
fof(f60,plain,
! [X1] :
( ~ big_g(sK1(X1))
| ~ big_f(sK1(X1)) ),
inference(resolution,[],[f16,f45]) ).
fof(f16,plain,
! [X0] :
( ~ big_h(sK1(X0))
| ~ big_f(sK1(X0))
| ~ big_g(sK1(X0)) ),
inference(cnf_transformation,[],[f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN328+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.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 21:55:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 % (28234)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.47 % (28242)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.47 % (28234)First to succeed.
% 0.19/0.47 % (28234)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (28234)------------------------------
% 0.19/0.47 % (28234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (28234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (28234)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (28234)Memory used [KB]: 5373
% 0.19/0.47 % (28234)Time elapsed: 0.067 s
% 0.19/0.47 % (28234)Instructions burned: 2 (million)
% 0.19/0.47 % (28234)------------------------------
% 0.19/0.47 % (28234)------------------------------
% 0.19/0.47 % (28222)Success in time 0.123 s
%------------------------------------------------------------------------------