TSTP Solution File: SYN346+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN346+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 : n020.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 19:26:19 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 95 ( 37 ~; 20 |; 30 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 52 ( 30 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,plain,
$false,
inference(resolution,[],[f14,f13]) ).
fof(f13,plain,
! [X2,X1] : big_f(X1,sK2(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X1,X2] :
( big_f(X1,sK2(X1,X2))
& ( ~ big_f(X2,sK1(X1,X2))
| ~ big_f(X1,sK1(X1,X2)) )
& big_f(sK0,sK1(X1,X2))
& ( ~ big_f(X2,sK2(X1,X2))
| ~ big_f(sK0,sK2(X1,X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0] :
! [X1,X2] :
? [X3,X4] :
( big_f(X1,X4)
& ( ~ big_f(X2,X3)
| ~ big_f(X1,X3) )
& big_f(X0,X3)
& ( ~ big_f(X2,X4)
| ~ big_f(X0,X4) ) )
=> ! [X2,X1] :
? [X4,X3] :
( big_f(X1,X4)
& ( ~ big_f(X2,X3)
| ~ big_f(X1,X3) )
& big_f(sK0,X3)
& ( ~ big_f(X2,X4)
| ~ big_f(sK0,X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X1,X2] :
( ? [X4,X3] :
( big_f(X1,X4)
& ( ~ big_f(X2,X3)
| ~ big_f(X1,X3) )
& big_f(sK0,X3)
& ( ~ big_f(X2,X4)
| ~ big_f(sK0,X4) ) )
=> ( big_f(X1,sK2(X1,X2))
& ( ~ big_f(X2,sK1(X1,X2))
| ~ big_f(X1,sK1(X1,X2)) )
& big_f(sK0,sK1(X1,X2))
& ( ~ big_f(X2,sK2(X1,X2))
| ~ big_f(sK0,sK2(X1,X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
? [X0] :
! [X1,X2] :
? [X3,X4] :
( big_f(X1,X4)
& ( ~ big_f(X2,X3)
| ~ big_f(X1,X3) )
& big_f(X0,X3)
& ( ~ big_f(X2,X4)
| ~ big_f(X0,X4) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
? [X0] :
! [X2,X3] :
? [X4,X5] :
( big_f(X2,X5)
& ( ~ big_f(X3,X4)
| ~ big_f(X2,X4) )
& big_f(X0,X4)
& ( ~ big_f(X3,X5)
| ~ big_f(X0,X5) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
? [X0] :
! [X3,X2] :
? [X4,X5] :
( ( ~ big_f(X3,X4)
| ~ big_f(X2,X4) )
& ( ~ big_f(X3,X5)
| ~ big_f(X0,X5) )
& big_f(X2,X5)
& big_f(X0,X4) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ! [X0] :
? [X3,X2] :
! [X4,X5] :
( big_f(X0,X4)
=> ( big_f(X2,X5)
=> ( ( big_f(X2,X4)
& big_f(X3,X4) )
| ( big_f(X0,X5)
& big_f(X3,X5) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X1,X0] :
? [X2,X3] :
! [X4,X5] :
( big_f(X1,X4)
=> ( big_f(X2,X5)
=> ( ( big_f(X2,X4)
& big_f(X3,X4) )
| ( big_f(X1,X5)
& big_f(X3,X5) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X1,X0] :
? [X2,X3] :
! [X4,X5] :
( big_f(X1,X4)
=> ( big_f(X2,X5)
=> ( ( big_f(X2,X4)
& big_f(X3,X4) )
| ( big_f(X1,X5)
& big_f(X3,X5) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_17_2) ).
fof(f14,plain,
! [X0] : ~ big_f(X0,sK2(sK0,X0)),
inference(resolution,[],[f10,f13]) ).
fof(f10,plain,
! [X2,X1] :
( ~ big_f(sK0,sK2(X1,X2))
| ~ big_f(X2,sK2(X1,X2)) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN346+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 21:48:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (7946)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.49 % (7930)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.49 % (7930)First to succeed.
% 0.19/0.49 % (7944)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.50 % (7930)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 % (7930)------------------------------
% 0.19/0.50 % (7930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (7930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (7930)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (7930)Memory used [KB]: 5884
% 0.19/0.50 % (7930)Time elapsed: 0.104 s
% 0.19/0.50 % (7930)Instructions burned: 2 (million)
% 0.19/0.50 % (7930)------------------------------
% 0.19/0.50 % (7930)------------------------------
% 0.19/0.50 % (7923)Success in time 0.152 s
%------------------------------------------------------------------------------