TSTP Solution File: SYN351+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN351+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 : n026.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 19:37:39 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 3 unt; 0 def)
% Number of atoms : 157 ( 0 equ)
% Maximal formula atoms : 26 ( 9 avg)
% Number of connectives : 191 ( 50 ~; 45 |; 69 &)
% ( 8 <=>; 17 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 60 ( 34 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30,plain,
$false,
inference(subsumption_resolution,[],[f29,f21]) ).
fof(f21,plain,
! [X2,X3] : big_f(sK0,X2,sK0,X3),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X2,X3] :
( big_f(sK0,X2,sK0,X3)
& ( ( big_f(sK0,sK2(X2,X3),X2,sK2(X2,X3))
& ( ~ big_f(sK0,X2,sK0,X3)
| ~ big_f(sK0,X3,X2,X3) )
& ( big_f(sK0,X2,sK0,X3)
| big_f(sK0,X3,X2,X3) ) )
| ( ~ big_f(sK0,sK2(X2,X3),X2,sK2(X2,X3))
& big_f(sK0,X3,X2,X3) ) )
& big_f(sK0,X3,sK0,sK2(X2,X3))
& ( big_f(X2,sK1,X2,X3)
| ~ big_f(sK0,X2,sK0,X3) )
& ( big_f(sK0,X2,sK0,X3)
| ~ big_f(X2,sK1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f8,f10,f9]) ).
fof(f9,plain,
( ? [X0,X1] :
! [X2,X3] :
? [X4] :
( big_f(X0,X2,X0,X3)
& ( ( big_f(X0,X4,X2,X4)
& ( ~ big_f(X0,X2,X0,X3)
| ~ big_f(X0,X3,X2,X3) )
& ( big_f(X0,X2,X0,X3)
| big_f(X0,X3,X2,X3) ) )
| ( ~ big_f(X0,X4,X2,X4)
& big_f(X0,X3,X2,X3) ) )
& big_f(X0,X3,X0,X4)
& ( big_f(X2,X1,X2,X3)
| ~ big_f(X0,X2,X0,X3) )
& ( big_f(X0,X2,X0,X3)
| ~ big_f(X2,X1,X2,X3) ) )
=> ! [X3,X2] :
? [X4] :
( big_f(sK0,X2,sK0,X3)
& ( ( big_f(sK0,X4,X2,X4)
& ( ~ big_f(sK0,X2,sK0,X3)
| ~ big_f(sK0,X3,X2,X3) )
& ( big_f(sK0,X2,sK0,X3)
| big_f(sK0,X3,X2,X3) ) )
| ( ~ big_f(sK0,X4,X2,X4)
& big_f(sK0,X3,X2,X3) ) )
& big_f(sK0,X3,sK0,X4)
& ( big_f(X2,sK1,X2,X3)
| ~ big_f(sK0,X2,sK0,X3) )
& ( big_f(sK0,X2,sK0,X3)
| ~ big_f(X2,sK1,X2,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
! [X2,X3] :
( ? [X4] :
( big_f(sK0,X2,sK0,X3)
& ( ( big_f(sK0,X4,X2,X4)
& ( ~ big_f(sK0,X2,sK0,X3)
| ~ big_f(sK0,X3,X2,X3) )
& ( big_f(sK0,X2,sK0,X3)
| big_f(sK0,X3,X2,X3) ) )
| ( ~ big_f(sK0,X4,X2,X4)
& big_f(sK0,X3,X2,X3) ) )
& big_f(sK0,X3,sK0,X4)
& ( big_f(X2,sK1,X2,X3)
| ~ big_f(sK0,X2,sK0,X3) )
& ( big_f(sK0,X2,sK0,X3)
| ~ big_f(X2,sK1,X2,X3) ) )
=> ( big_f(sK0,X2,sK0,X3)
& ( ( big_f(sK0,sK2(X2,X3),X2,sK2(X2,X3))
& ( ~ big_f(sK0,X2,sK0,X3)
| ~ big_f(sK0,X3,X2,X3) )
& ( big_f(sK0,X2,sK0,X3)
| big_f(sK0,X3,X2,X3) ) )
| ( ~ big_f(sK0,sK2(X2,X3),X2,sK2(X2,X3))
& big_f(sK0,X3,X2,X3) ) )
& big_f(sK0,X3,sK0,sK2(X2,X3))
& ( big_f(X2,sK1,X2,X3)
| ~ big_f(sK0,X2,sK0,X3) )
& ( big_f(sK0,X2,sK0,X3)
| ~ big_f(X2,sK1,X2,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
? [X0,X1] :
! [X2,X3] :
? [X4] :
( big_f(X0,X2,X0,X3)
& ( ( big_f(X0,X4,X2,X4)
& ( ~ big_f(X0,X2,X0,X3)
| ~ big_f(X0,X3,X2,X3) )
& ( big_f(X0,X2,X0,X3)
| big_f(X0,X3,X2,X3) ) )
| ( ~ big_f(X0,X4,X2,X4)
& big_f(X0,X3,X2,X3) ) )
& big_f(X0,X3,X0,X4)
& ( big_f(X2,X1,X2,X3)
| ~ big_f(X0,X2,X0,X3) )
& ( big_f(X0,X2,X0,X3)
| ~ big_f(X2,X1,X2,X3) ) ),
inference(rectify,[],[f7]) ).
fof(f7,plain,
? [X1,X0] :
! [X3,X2] :
? [X4] :
( big_f(X1,X3,X1,X2)
& ( ( big_f(X1,X4,X3,X4)
& ( ~ big_f(X1,X3,X1,X2)
| ~ big_f(X1,X2,X3,X2) )
& ( big_f(X1,X3,X1,X2)
| big_f(X1,X2,X3,X2) ) )
| ( ~ big_f(X1,X4,X3,X4)
& big_f(X1,X2,X3,X2) ) )
& big_f(X1,X2,X1,X4)
& ( big_f(X3,X0,X3,X2)
| ~ big_f(X1,X3,X1,X2) )
& ( big_f(X1,X3,X1,X2)
| ~ big_f(X3,X0,X3,X2) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X1,X0] :
! [X3,X2] :
? [X4] :
( big_f(X1,X3,X1,X2)
& ( ( big_f(X1,X4,X3,X4)
& ( ~ big_f(X1,X3,X1,X2)
| ~ big_f(X1,X2,X3,X2) )
& ( big_f(X1,X3,X1,X2)
| big_f(X1,X2,X3,X2) ) )
| ( ~ big_f(X1,X4,X3,X4)
& big_f(X1,X2,X3,X2) ) )
& big_f(X1,X2,X1,X4)
& ( big_f(X3,X0,X3,X2)
| ~ big_f(X1,X3,X1,X2) )
& ( big_f(X1,X3,X1,X2)
| ~ big_f(X3,X0,X3,X2) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,plain,
? [X1,X0] :
! [X3,X2] :
? [X4] :
( big_f(X1,X3,X1,X2)
& ( ( big_f(X1,X4,X3,X4)
& ( big_f(X1,X2,X3,X2)
<~> big_f(X1,X3,X1,X2) ) )
| ( ~ big_f(X1,X4,X3,X4)
& big_f(X1,X2,X3,X2) ) )
& big_f(X1,X2,X1,X4)
& ( big_f(X3,X0,X3,X2)
<=> big_f(X1,X3,X1,X2) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
? [X1,X0] :
! [X3,X2] :
? [X4] :
( ( ( big_f(X1,X4,X3,X4)
& ( big_f(X1,X2,X3,X2)
<~> big_f(X1,X3,X1,X2) ) )
| ( ~ big_f(X1,X4,X3,X4)
& big_f(X1,X2,X3,X2) ) )
& big_f(X1,X3,X1,X2)
& ( big_f(X3,X0,X3,X2)
<=> big_f(X1,X3,X1,X2) )
& big_f(X1,X2,X1,X4) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ! [X1,X0] :
? [X3,X2] :
! [X4] :
( big_f(X1,X2,X1,X4)
=> ( ( big_f(X3,X0,X3,X2)
<=> big_f(X1,X3,X1,X2) )
=> ( big_f(X1,X3,X1,X2)
=> ( ( big_f(X1,X4,X3,X4)
=> ( big_f(X1,X3,X1,X2)
<=> big_f(X1,X2,X3,X2) ) )
& ( big_f(X1,X2,X3,X2)
=> big_f(X1,X4,X3,X4) ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X1,X0] :
? [X3,X2] :
! [X4] :
( big_f(X0,X3,X0,X4)
=> ( ( big_f(X2,X1,X2,X3)
<=> big_f(X0,X2,X0,X3) )
=> ( big_f(X0,X2,X0,X3)
=> ( ( big_f(X0,X4,X2,X4)
=> ( big_f(X0,X2,X0,X3)
<=> big_f(X0,X3,X2,X3) ) )
& ( big_f(X0,X3,X2,X3)
=> big_f(X0,X4,X2,X4) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X1,X0] :
? [X3,X2] :
! [X4] :
( big_f(X0,X3,X0,X4)
=> ( ( big_f(X2,X1,X2,X3)
<=> big_f(X0,X2,X0,X3) )
=> ( big_f(X0,X2,X0,X3)
=> ( ( big_f(X0,X4,X2,X4)
=> ( big_f(X0,X2,X0,X3)
<=> big_f(X0,X3,X2,X3) ) )
& ( big_f(X0,X3,X2,X3)
=> big_f(X0,X4,X2,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_18_3) ).
fof(f29,plain,
! [X2] : ~ big_f(sK0,X2,sK0,X2),
inference(resolution,[],[f23,f21]) ).
fof(f23,plain,
! [X2,X3] :
( ~ big_f(sK0,sK2(X2,X3),X2,sK2(X2,X3))
| ~ big_f(sK0,X3,X2,X3) ),
inference(subsumption_resolution,[],[f18,f21]) ).
fof(f18,plain,
! [X2,X3] :
( ~ big_f(sK0,X3,X2,X3)
| ~ big_f(sK0,sK2(X2,X3),X2,sK2(X2,X3))
| ~ big_f(sK0,X2,sK0,X3) ),
inference(cnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN351+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 22:01:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (13570)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 TRYING [1]
% 0.19/0.49 TRYING [2]
% 0.19/0.50 % (13580)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (13572)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (13588)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.50 % (13588)First to succeed.
% 0.19/0.51 % (13588)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 % (13588)------------------------------
% 0.19/0.51 % (13588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (13588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (13588)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (13588)Memory used [KB]: 5373
% 0.19/0.51 % (13588)Time elapsed: 0.104 s
% 0.19/0.51 % (13588)Instructions burned: 2 (million)
% 0.19/0.51 % (13588)------------------------------
% 0.19/0.51 % (13588)------------------------------
% 0.19/0.51 % (13563)Success in time 0.158 s
%------------------------------------------------------------------------------