TSTP Solution File: SYN374+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN374+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 : n027.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 19:37:43 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 3 unt; 0 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 155 ( 53 ~; 65 |; 19 &)
% ( 11 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 84 ( 58 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,plain,
$false,
inference(subsumption_resolution,[],[f46,f34]) ).
fof(f34,plain,
! [X5] : big_p(X5),
inference(subsumption_resolution,[],[f33,f22]) ).
fof(f22,plain,
! [X11,X8,X9] :
( ~ big_p(X9)
| big_p(X8)
| big_p(X11) ),
inference(subsumption_resolution,[],[f15,f14]) ).
fof(f14,plain,
! [X11,X8,X9] :
( ~ big_p(X11)
| big_p(sK5)
| ~ big_p(X9)
| big_p(X8) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( ( ( ~ big_p(sK0)
| ! [X1] : ~ big_p(X1) )
& ( ! [X2] : big_p(X2)
| big_p(sK1) ) )
| ! [X4] :
( ( ~ big_p(X4)
| ~ big_p(sK2(X4)) )
& ( big_p(X4)
| big_p(sK2(X4)) ) ) )
& ( ( ( big_p(sK3)
| ~ big_p(sK4) )
& ( ! [X8] : big_p(X8)
| ! [X9] : ~ big_p(X9) ) )
| ! [X11] :
( ( big_p(X11)
| ~ big_p(sK5) )
& ( big_p(sK5)
| ~ big_p(X11) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f6,f12,f11,f10,f9,f8,f7]) ).
fof(f7,plain,
( ? [X0] : ~ big_p(X0)
=> ~ big_p(sK0) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X3] : big_p(X3)
=> big_p(sK1) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
! [X4] :
( ? [X5] :
( ( ~ big_p(X4)
| ~ big_p(X5) )
& ( big_p(X4)
| big_p(X5) ) )
=> ( ( ~ big_p(X4)
| ~ big_p(sK2(X4)) )
& ( big_p(X4)
| big_p(sK2(X4)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ? [X6] : big_p(X6)
=> big_p(sK3) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
( ? [X7] : ~ big_p(X7)
=> ~ big_p(sK4) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ? [X10] :
! [X11] :
( ( big_p(X11)
| ~ big_p(X10) )
& ( big_p(X10)
| ~ big_p(X11) ) )
=> ! [X11] :
( ( big_p(X11)
| ~ big_p(sK5) )
& ( big_p(sK5)
| ~ big_p(X11) ) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ( ( ( ? [X0] : ~ big_p(X0)
| ! [X1] : ~ big_p(X1) )
& ( ! [X2] : big_p(X2)
| ? [X3] : big_p(X3) ) )
| ! [X4] :
? [X5] :
( ( ~ big_p(X4)
| ~ big_p(X5) )
& ( big_p(X4)
| big_p(X5) ) ) )
& ( ( ( ? [X6] : big_p(X6)
| ? [X7] : ~ big_p(X7) )
& ( ! [X8] : big_p(X8)
| ! [X9] : ~ big_p(X9) ) )
| ? [X10] :
! [X11] :
( ( big_p(X11)
| ~ big_p(X10) )
& ( big_p(X10)
| ~ big_p(X11) ) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ( ( ( ? [X1] : ~ big_p(X1)
| ! [X0] : ~ big_p(X0) )
& ( ! [X1] : big_p(X1)
| ? [X0] : big_p(X0) ) )
| ! [X2] :
? [X3] :
( ( ~ big_p(X2)
| ~ big_p(X3) )
& ( big_p(X2)
| big_p(X3) ) ) )
& ( ( ( ? [X0] : big_p(X0)
| ? [X1] : ~ big_p(X1) )
& ( ! [X1] : big_p(X1)
| ! [X0] : ~ big_p(X0) ) )
| ? [X2] :
! [X3] :
( ( big_p(X3)
| ~ big_p(X2) )
& ( big_p(X2)
| ~ big_p(X3) ) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
( ? [X2] :
! [X3] :
( big_p(X3)
<=> big_p(X2) )
<~> ( ? [X0] : big_p(X0)
<=> ! [X1] : big_p(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ? [X2] :
! [X3] :
( big_p(X3)
<=> big_p(X2) )
<=> ( ? [X0] : big_p(X0)
<=> ! [X1] : big_p(X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ? [X0] : big_p(X0)
<=> ! [X1] : big_p(X1) )
<=> ? [X0] :
! [X1] :
( big_p(X1)
<=> big_p(X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ? [X0] : big_p(X0)
<=> ! [X1] : big_p(X1) )
<=> ? [X0] :
! [X1] :
( big_p(X1)
<=> big_p(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2125) ).
fof(f15,plain,
! [X11,X8,X9] :
( ~ big_p(X9)
| big_p(X11)
| big_p(X8)
| ~ big_p(sK5) ),
inference(cnf_transformation,[],[f13]) ).
fof(f33,plain,
! [X5] :
( big_p(sK1)
| big_p(X5) ),
inference(subsumption_resolution,[],[f32,f22]) ).
fof(f32,plain,
! [X6,X5] :
( big_p(X6)
| big_p(X5)
| big_p(sK1) ),
inference(subsumption_resolution,[],[f31,f22]) ).
fof(f31,plain,
! [X6,X7,X5] :
( big_p(X7)
| big_p(X6)
| big_p(sK1)
| big_p(X5) ),
inference(subsumption_resolution,[],[f24,f22]) ).
fof(f24,plain,
! [X6,X7,X4,X5] :
( big_p(X4)
| big_p(X6)
| big_p(X5)
| big_p(sK1)
| big_p(X7) ),
inference(resolution,[],[f18,f22]) ).
fof(f18,plain,
! [X2,X4] :
( big_p(sK2(X4))
| big_p(X2)
| big_p(X4)
| big_p(sK1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f46,plain,
! [X5] : ~ big_p(X5),
inference(subsumption_resolution,[],[f45,f34]) ).
fof(f45,plain,
! [X4,X5] :
( ~ big_p(X4)
| ~ big_p(X5) ),
inference(subsumption_resolution,[],[f42,f34]) ).
fof(f42,plain,
! [X4,X5] :
( ~ big_p(sK2(X5))
| ~ big_p(X5)
| ~ big_p(X4) ),
inference(resolution,[],[f34,f21]) ).
fof(f21,plain,
! [X1,X4] :
( ~ big_p(sK0)
| ~ big_p(X1)
| ~ big_p(sK2(X4))
| ~ big_p(X4) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN374+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_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n027.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 22:04:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (5068)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.49 % (5068)First to succeed.
% 0.19/0.50 % (5068)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (5068)------------------------------
% 0.19/0.50 % (5068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (5068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (5068)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (5068)Memory used [KB]: 895
% 0.19/0.50 % (5068)Time elapsed: 0.116 s
% 0.19/0.50 % (5068)Instructions burned: 1 (million)
% 0.19/0.50 % (5068)------------------------------
% 0.19/0.50 % (5068)------------------------------
% 0.19/0.50 % (5065)Success in time 0.158 s
%------------------------------------------------------------------------------