TSTP Solution File: SYN722+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN722+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_sat --cores 0 -t %d %s
% Computer : n018.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 19:39:22 EDT 2022
% Result : Theorem 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 4 unt; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 160 ( 80 ~; 63 |; 16 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 21 ( 15 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,plain,
$false,
inference(resolution,[],[f19,f8]) ).
fof(f8,plain,
! [X2] : q(X2),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
( ( ~ p(b)
| ~ p(a) )
& ! [X0] :
( ~ q(c)
| ~ q(X0)
| p(X0)
| ~ q(d)
| ~ q(sK0(X0)) )
& ! [X2] : q(X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).
fof(f6,plain,
! [X0] :
( ? [X1] :
( ~ q(c)
| ~ q(X0)
| p(X0)
| ~ q(d)
| ~ q(X1) )
=> ( ~ q(c)
| ~ q(X0)
| p(X0)
| ~ q(d)
| ~ q(sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
( ( ~ p(b)
| ~ p(a) )
& ! [X0] :
? [X1] :
( ~ q(c)
| ~ q(X0)
| p(X0)
| ~ q(d)
| ~ q(X1) )
& ! [X2] : q(X2) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f4,plain,
( ! [X0] :
? [X1] :
( ~ q(c)
| ~ q(X0)
| p(X0)
| ~ q(d)
| ~ q(X1) )
& ! [X2] :
( q(X2)
& ( r(X2)
| p(X2) ) )
& ( ~ p(b)
| ~ p(a) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ( ! [X0] :
? [X1] :
( ~ q(c)
| ~ q(X0)
| p(X0)
| ~ q(d)
| ~ q(X1) )
& ! [X2] :
( q(X2)
& ( r(X2)
| p(X2) ) )
& ( ~ p(b)
| ~ p(a) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ( ! [X1] :
? [X2] :
( ~ q(c)
| ~ q(X2)
| ~ q(d)
| p(X1)
| ~ q(X1) )
& ( ~ p(b)
| ~ p(a) )
& ! [X0] :
( q(X0)
& ( p(X0)
| r(X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ( ! [X1] :
? [X2] :
( ~ q(c)
| ~ q(X2)
| ~ q(d)
| p(X1)
| ~ q(X1) )
& ( ~ p(b)
| ~ p(a) )
& ! [X0] :
( q(X0)
& ( p(X0)
| r(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm119) ).
fof(f19,plain,
~ q(c),
inference(resolution,[],[f18,f8]) ).
fof(f18,plain,
( ~ q(d)
| ~ q(c) ),
inference(resolution,[],[f17,f8]) ).
fof(f17,plain,
( ~ q(a)
| ~ q(d)
| ~ q(c) ),
inference(resolution,[],[f16,f8]) ).
fof(f16,plain,
( ~ q(sK0(a))
| ~ q(c)
| ~ q(a)
| ~ q(d) ),
inference(resolution,[],[f15,f9]) ).
fof(f9,plain,
! [X0] :
( p(X0)
| ~ q(c)
| ~ q(X0)
| ~ q(sK0(X0))
| ~ q(d) ),
inference(cnf_transformation,[],[f7]) ).
fof(f15,plain,
~ p(a),
inference(resolution,[],[f14,f8]) ).
fof(f14,plain,
( ~ q(c)
| ~ p(a) ),
inference(resolution,[],[f13,f8]) ).
fof(f13,plain,
( ~ q(d)
| ~ q(c)
| ~ p(a) ),
inference(resolution,[],[f12,f8]) ).
fof(f12,plain,
( ~ q(b)
| ~ q(d)
| ~ p(a)
| ~ q(c) ),
inference(resolution,[],[f11,f8]) ).
fof(f11,plain,
( ~ q(sK0(b))
| ~ q(d)
| ~ p(a)
| ~ q(b)
| ~ q(c) ),
inference(resolution,[],[f9,f10]) ).
fof(f10,plain,
( ~ p(b)
| ~ p(a) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN722+1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n018.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 22:21:55 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.49 % (5448)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.22/0.50 % (5440)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.22/0.50 TRYING [1]
% 0.22/0.50 TRYING [2]
% 0.22/0.50 TRYING [3]
% 0.22/0.50 TRYING [4]
% 0.22/0.50 TRYING [5]
% 0.22/0.50 TRYING [6]
% 0.22/0.50 TRYING [7]
% 0.22/0.50 % (5440)First to succeed.
% 0.22/0.50 TRYING [8]
% 0.22/0.51 % (5440)Refutation found. Thanks to Tanya!
% 0.22/0.51 % SZS status Theorem for theBenchmark
% 0.22/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51 % (5440)------------------------------
% 0.22/0.51 % (5440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.51 % (5440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.51 % (5440)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (5440)Memory used [KB]: 895
% 0.22/0.51 % (5440)Time elapsed: 0.090 s
% 0.22/0.51 % (5440)Instructions burned: 2 (million)
% 0.22/0.51 % (5440)------------------------------
% 0.22/0.51 % (5440)------------------------------
% 0.22/0.51 % (5430)Success in time 0.146 s
%------------------------------------------------------------------------------