TSTP Solution File: SWV385+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV385+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n028.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 18:56:41 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 5 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 98 ( 52 ~; 27 |; 12 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 51 ( 39 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f253,plain,
$false,
inference(resolution,[],[f252,f164]) ).
fof(f164,plain,
check_cpq(im_succ_cpq(triple(sK2,sK0,sK1))),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ok(im_succ_cpq(triple(sK2,sK0,sK1)))
& check_cpq(im_succ_cpq(triple(sK2,sK0,sK1)))
& ( ~ check_cpq(triple(sK2,sK0,sK1))
| ~ ok(triple(sK2,sK0,sK1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f125,f126]) ).
fof(f126,plain,
( ? [X0,X1,X2] :
( ok(im_succ_cpq(triple(X2,X0,X1)))
& check_cpq(im_succ_cpq(triple(X2,X0,X1)))
& ( ~ check_cpq(triple(X2,X0,X1))
| ~ ok(triple(X2,X0,X1)) ) )
=> ( ok(im_succ_cpq(triple(sK2,sK0,sK1)))
& check_cpq(im_succ_cpq(triple(sK2,sK0,sK1)))
& ( ~ check_cpq(triple(sK2,sK0,sK1))
| ~ ok(triple(sK2,sK0,sK1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
? [X0,X1,X2] :
( ok(im_succ_cpq(triple(X2,X0,X1)))
& check_cpq(im_succ_cpq(triple(X2,X0,X1)))
& ( ~ check_cpq(triple(X2,X0,X1))
| ~ ok(triple(X2,X0,X1)) ) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
? [X0,X2,X1] :
( ok(im_succ_cpq(triple(X1,X0,X2)))
& check_cpq(im_succ_cpq(triple(X1,X0,X2)))
& ( ~ check_cpq(triple(X1,X0,X2))
| ~ ok(triple(X1,X0,X2)) ) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
? [X0,X1,X2] :
( ok(im_succ_cpq(triple(X1,X0,X2)))
& check_cpq(im_succ_cpq(triple(X1,X0,X2)))
& ( ~ check_cpq(triple(X1,X0,X2))
| ~ ok(triple(X1,X0,X2)) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
~ ! [X0,X1,X2] :
( ( ~ check_cpq(triple(X1,X0,X2))
| ~ ok(triple(X1,X0,X2)) )
=> ( ~ ok(im_succ_cpq(triple(X1,X0,X2)))
| ~ check_cpq(im_succ_cpq(triple(X1,X0,X2))) ) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X1,X0,X2] :
( ( ~ check_cpq(triple(X0,X1,X2))
| ~ ok(triple(X0,X1,X2)) )
=> ( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2))) ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X1,X0,X2] :
( ( ~ check_cpq(triple(X0,X1,X2))
| ~ ok(triple(X0,X1,X2)) )
=> ( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| ~ check_cpq(im_succ_cpq(triple(X0,X1,X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l21_co) ).
fof(f252,plain,
~ check_cpq(im_succ_cpq(triple(sK2,sK0,sK1))),
inference(resolution,[],[f249,f165]) ).
fof(f165,plain,
ok(im_succ_cpq(triple(sK2,sK0,sK1))),
inference(cnf_transformation,[],[f127]) ).
fof(f249,plain,
( ~ ok(im_succ_cpq(triple(sK2,sK0,sK1)))
| ~ check_cpq(im_succ_cpq(triple(sK2,sK0,sK1))) ),
inference(resolution,[],[f169,f225]) ).
fof(f225,plain,
~ check_cpq(triple(sK2,sK0,sK1)),
inference(resolution,[],[f223,f165]) ).
fof(f223,plain,
( ~ ok(im_succ_cpq(triple(sK2,sK0,sK1)))
| ~ check_cpq(triple(sK2,sK0,sK1)) ),
inference(resolution,[],[f192,f163]) ).
fof(f163,plain,
( ~ ok(triple(sK2,sK0,sK1))
| ~ check_cpq(triple(sK2,sK0,sK1)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f192,plain,
! [X2,X0,X1] :
( ok(triple(X0,X2,X1))
| ~ ok(im_succ_cpq(triple(X0,X2,X1))) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ~ ok(im_succ_cpq(triple(X0,X2,X1)))
| ok(triple(X0,X2,X1)) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X1,X2,X0] :
( ~ ok(im_succ_cpq(triple(X1,X0,X2)))
| ok(triple(X1,X0,X2)) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X2,X1,X0] :
( ~ ok(triple(X1,X0,X2))
=> ~ ok(im_succ_cpq(triple(X1,X0,X2))) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X1,X0,X2] :
( ~ ok(triple(X0,X1,X2))
=> ~ ok(im_succ_cpq(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l21_li1316) ).
fof(f169,plain,
! [X2,X0,X1] :
( check_cpq(triple(X2,X1,X0))
| ~ ok(im_succ_cpq(triple(X2,X1,X0)))
| ~ check_cpq(im_succ_cpq(triple(X2,X1,X0))) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1,X2] :
( ~ check_cpq(im_succ_cpq(triple(X2,X1,X0)))
| ~ ok(im_succ_cpq(triple(X2,X1,X0)))
| check_cpq(triple(X2,X1,X0)) ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
! [X2,X1,X0] :
( ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| check_cpq(triple(X0,X1,X2)) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X1,X2,X0] :
( ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ~ ok(im_succ_cpq(triple(X0,X1,X2)))
| check_cpq(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X1,X2,X0] :
( ~ check_cpq(triple(X0,X1,X2))
=> ( ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
| ~ ok(im_succ_cpq(triple(X0,X1,X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l21_li2225) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV385+1 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.13 % 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 : n028.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 19:30:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.49 % (5303)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (5311)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 (2999ds/51Mi)
% 0.19/0.50 % (5327)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51 % (5311)First to succeed.
% 0.19/0.51 % (5311)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (5311)------------------------------
% 0.19/0.51 % (5311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (5311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (5311)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (5311)Memory used [KB]: 1151
% 0.19/0.51 % (5311)Time elapsed: 0.096 s
% 0.19/0.51 % (5311)Instructions burned: 7 (million)
% 0.19/0.51 % (5311)------------------------------
% 0.19/0.51 % (5311)------------------------------
% 0.19/0.51 % (5301)Success in time 0.158 s
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