TSTP Solution File: SYN352+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN352+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 : n011.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 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 3 unt; 0 def)
% Number of atoms : 177 ( 0 equ)
% Maximal formula atoms : 30 ( 10 avg)
% Number of connectives : 219 ( 59 ~; 80 |; 58 &)
% ( 4 <=>; 14 =>; 0 <=; 4 <~>)
% Maximal formula depth : 14 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 34 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f33,plain,
$false,
inference(resolution,[],[f30,f29]) ).
fof(f29,plain,
! [X0] : ~ big_f(X0,X0),
inference(subsumption_resolution,[],[f18,f13]) ).
fof(f13,plain,
! [X2,X3] :
( ~ big_f(X3,sK2(X2,X3))
| ~ big_f(X3,X2)
| ~ big_f(X2,sK2(X2,X3)) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X2,X3] :
( ( ( ( ~ big_f(X3,sK2(X2,X3))
| ~ big_f(sK1,sK2(X2,X3)) )
& ( big_f(X3,sK2(X2,X3))
| big_f(sK1,sK2(X2,X3)) )
& big_f(X3,X2) )
| big_f(sK2(X2,X3),sK2(X2,X3)) )
& ( big_f(X2,sK2(X2,X3))
| ~ big_f(X3,X2)
| big_f(sK1,sK2(X2,X3)) )
& ( ( ( ~ big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) )
& ( big_f(X3,sK2(X2,X3))
| big_f(X2,sK2(X2,X3)) ) )
| ~ big_f(X3,X2) )
& big_f(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f9,f8]) ).
fof(f8,plain,
( ? [X0,X1] :
! [X2,X3] :
? [X4] :
( ( ( ( ~ big_f(X3,X4)
| ~ big_f(X1,X4) )
& ( big_f(X3,X4)
| big_f(X1,X4) )
& big_f(X3,X2) )
| big_f(X4,X4) )
& ( big_f(X2,X4)
| ~ big_f(X3,X2)
| big_f(X1,X4) )
& ( ( ( ~ big_f(X3,X4)
| ~ big_f(X2,X4) )
& ( big_f(X3,X4)
| big_f(X2,X4) ) )
| ~ big_f(X3,X2) )
& big_f(X0,X1) )
=> ! [X3,X2] :
? [X4] :
( ( ( ( ~ big_f(X3,X4)
| ~ big_f(sK1,X4) )
& ( big_f(X3,X4)
| big_f(sK1,X4) )
& big_f(X3,X2) )
| big_f(X4,X4) )
& ( big_f(X2,X4)
| ~ big_f(X3,X2)
| big_f(sK1,X4) )
& ( ( ( ~ big_f(X3,X4)
| ~ big_f(X2,X4) )
& ( big_f(X3,X4)
| big_f(X2,X4) ) )
| ~ big_f(X3,X2) )
& big_f(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
! [X2,X3] :
( ? [X4] :
( ( ( ( ~ big_f(X3,X4)
| ~ big_f(sK1,X4) )
& ( big_f(X3,X4)
| big_f(sK1,X4) )
& big_f(X3,X2) )
| big_f(X4,X4) )
& ( big_f(X2,X4)
| ~ big_f(X3,X2)
| big_f(sK1,X4) )
& ( ( ( ~ big_f(X3,X4)
| ~ big_f(X2,X4) )
& ( big_f(X3,X4)
| big_f(X2,X4) ) )
| ~ big_f(X3,X2) )
& big_f(sK0,sK1) )
=> ( ( ( ( ~ big_f(X3,sK2(X2,X3))
| ~ big_f(sK1,sK2(X2,X3)) )
& ( big_f(X3,sK2(X2,X3))
| big_f(sK1,sK2(X2,X3)) )
& big_f(X3,X2) )
| big_f(sK2(X2,X3),sK2(X2,X3)) )
& ( big_f(X2,sK2(X2,X3))
| ~ big_f(X3,X2)
| big_f(sK1,sK2(X2,X3)) )
& ( ( ( ~ big_f(X3,sK2(X2,X3))
| ~ big_f(X2,sK2(X2,X3)) )
& ( big_f(X3,sK2(X2,X3))
| big_f(X2,sK2(X2,X3)) ) )
| ~ big_f(X3,X2) )
& big_f(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
? [X0,X1] :
! [X2,X3] :
? [X4] :
( ( ( ( ~ big_f(X3,X4)
| ~ big_f(X1,X4) )
& ( big_f(X3,X4)
| big_f(X1,X4) )
& big_f(X3,X2) )
| big_f(X4,X4) )
& ( big_f(X2,X4)
| ~ big_f(X3,X2)
| big_f(X1,X4) )
& ( ( ( ~ big_f(X3,X4)
| ~ big_f(X2,X4) )
& ( big_f(X3,X4)
| big_f(X2,X4) ) )
| ~ big_f(X3,X2) )
& big_f(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,plain,
? [X0,X1] :
! [X3,X2] :
? [X4] :
( ( ( ( ~ big_f(X2,X4)
| ~ big_f(X1,X4) )
& ( big_f(X2,X4)
| big_f(X1,X4) )
& big_f(X2,X3) )
| big_f(X4,X4) )
& ( big_f(X3,X4)
| ~ big_f(X2,X3)
| big_f(X1,X4) )
& ( ( ( ~ big_f(X2,X4)
| ~ big_f(X3,X4) )
& ( big_f(X2,X4)
| big_f(X3,X4) ) )
| ~ big_f(X2,X3) )
& big_f(X0,X1) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
? [X0,X1] :
! [X3,X2] :
? [X4] :
( ( ( ( ~ big_f(X2,X4)
| ~ big_f(X1,X4) )
& ( big_f(X2,X4)
| big_f(X1,X4) )
& big_f(X2,X3) )
| big_f(X4,X4) )
& ( big_f(X3,X4)
| ~ big_f(X2,X3)
| big_f(X1,X4) )
& ( ( ( ~ big_f(X2,X4)
| ~ big_f(X3,X4) )
& ( big_f(X2,X4)
| big_f(X3,X4) ) )
| ~ big_f(X2,X3) )
& big_f(X0,X1) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
? [X0,X1] :
! [X3,X2] :
? [X4] :
( ( ( ( big_f(X1,X4)
<~> big_f(X2,X4) )
& big_f(X2,X3) )
| big_f(X4,X4) )
& ( big_f(X3,X4)
| ~ big_f(X2,X3)
| big_f(X1,X4) )
& ( ( big_f(X3,X4)
<~> big_f(X2,X4) )
| ~ big_f(X2,X3) )
& big_f(X0,X1) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
? [X0,X1] :
! [X2,X3] :
? [X4] :
( ( ( big_f(X3,X4)
<~> big_f(X2,X4) )
| ~ big_f(X2,X3) )
& ( ( ( big_f(X1,X4)
<~> big_f(X2,X4) )
& big_f(X2,X3) )
| big_f(X4,X4) )
& ( big_f(X1,X4)
| big_f(X3,X4)
| ~ big_f(X2,X3) )
& big_f(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
? [X2,X3] :
! [X4] :
( big_f(X0,X1)
=> ( ( big_f(X2,X3)
=> ( big_f(X1,X4)
| big_f(X3,X4) ) )
=> ( ( ( big_f(X2,X3)
=> ( big_f(X1,X4)
<=> big_f(X2,X4) ) )
=> big_f(X4,X4) )
=> ( ( big_f(X3,X4)
<=> big_f(X2,X4) )
& big_f(X2,X3) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
? [X2,X3] :
! [X4] :
( big_f(X0,X1)
=> ( ( big_f(X2,X3)
=> ( big_f(X1,X4)
| big_f(X3,X4) ) )
=> ( ( ( big_f(X2,X3)
=> ( big_f(X1,X4)
<=> big_f(X2,X4) ) )
=> big_f(X4,X4) )
=> ( ( big_f(X3,X4)
<=> big_f(X2,X4) )
& big_f(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_18_4) ).
fof(f18,plain,
! [X0] :
( ~ big_f(X0,X0)
| big_f(X0,sK2(X0,X0)) ),
inference(factoring,[],[f12]) ).
fof(f12,plain,
! [X2,X3] :
( big_f(X3,sK2(X2,X3))
| big_f(X2,sK2(X2,X3))
| ~ big_f(X3,X2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f30,plain,
! [X0,X1] : big_f(X0,X1),
inference(resolution,[],[f29,f15]) ).
fof(f15,plain,
! [X2,X3] :
( big_f(sK2(X2,X3),sK2(X2,X3))
| big_f(X3,X2) ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN352+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_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 21:44:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (19540)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.56 % (19547)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.56 % (19556)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56 % (19555)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.56 % (19548)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)
% 0.20/0.56 % (19539)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 % (19540)Instruction limit reached!
% 0.20/0.56 % (19540)------------------------------
% 0.20/0.56 % (19540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (19540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (19540)Termination reason: Unknown
% 0.20/0.56 % (19540)Termination phase: Blocked clause elimination
% 0.20/0.56
% 0.20/0.56 % (19540)Memory used [KB]: 895
% 0.20/0.56 % (19540)Time elapsed: 0.004 s
% 0.20/0.56 % (19540)Instructions burned: 2 (million)
% 0.20/0.56 % (19540)------------------------------
% 0.20/0.56 % (19540)------------------------------
% 0.20/0.56 % (19539)First to succeed.
% 0.20/0.57 % (19548)Also succeeded, but the first one will report.
% 0.20/0.57 % (19557)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.57 % (19539)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (19539)------------------------------
% 0.20/0.57 % (19539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (19539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (19539)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (19539)Memory used [KB]: 5373
% 0.20/0.57 % (19539)Time elapsed: 0.124 s
% 0.20/0.57 % (19539)Instructions burned: 1 (million)
% 0.20/0.57 % (19539)------------------------------
% 0.20/0.57 % (19539)------------------------------
% 0.20/0.57 % (19531)Success in time 0.212 s
%------------------------------------------------------------------------------