TSTP Solution File: SYN077+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN077+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 : n007.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 19:25:28 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of formulae : 34 ( 5 unt; 0 def)
% Number of atoms : 98 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 115 ( 51 ~; 44 |; 9 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 58 ( 43 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f133,plain,
$false,
inference(avatar_sat_refutation,[],[f127,f132]) ).
fof(f132,plain,
spl5_6,
inference(avatar_split_clause,[],[f107,f87]) ).
fof(f87,plain,
( spl5_6
<=> big_f(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f107,plain,
big_f(sK0,sK0),
inference(duplicate_literal_removal,[],[f106]) ).
fof(f106,plain,
( big_f(sK0,sK0)
| big_f(sK0,sK0) ),
inference(resolution,[],[f64,f11]) ).
fof(f11,plain,
! [X1] :
( big_f(X1,sK1(X1))
| big_f(X1,sK0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0] :
! [X1] :
( ! [X2] :
( ? [X3] :
( ! [X4] :
( ~ big_f(X4,X3)
| ~ big_f(X4,X2) )
& big_f(X3,X2) )
| ~ big_f(X1,X2) )
<=> big_f(X1,X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
! [X1] :
( big_f(X1,X0)
<=> ! [X2] :
( big_f(X1,X2)
=> ? [X3] :
( ~ ? [X4] :
( big_f(X4,X3)
& big_f(X4,X2) )
& big_f(X3,X2) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
! [X1] :
( big_f(X1,X0)
<=> ! [X2] :
( big_f(X1,X2)
=> ? [X3] :
( ~ ? [X4] :
( big_f(X4,X3)
& big_f(X4,X2) )
& big_f(X3,X2) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X3] :
! [X2] :
( ! [X4] :
( big_f(X2,X4)
=> ? [X0] :
( big_f(X0,X4)
& ~ ? [X1] :
( big_f(X1,X0)
& big_f(X1,X4) ) ) )
<=> big_f(X2,X3) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X3] :
! [X2] :
( ! [X4] :
( big_f(X2,X4)
=> ? [X0] :
( big_f(X0,X4)
& ~ ? [X1] :
( big_f(X1,X0)
& big_f(X1,X4) ) ) )
<=> big_f(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel54) ).
fof(f64,plain,
! [X0] :
( ~ big_f(sK0,sK1(X0))
| big_f(X0,sK0) ),
inference(duplicate_literal_removal,[],[f63]) ).
fof(f63,plain,
! [X0] :
( big_f(X0,sK0)
| big_f(X0,sK0)
| ~ big_f(sK0,sK1(X0))
| ~ big_f(sK0,sK1(X0)) ),
inference(resolution,[],[f51,f8]) ).
fof(f8,plain,
! [X3,X1] :
( big_f(sK3(X1,X3),X3)
| ~ big_f(X3,sK1(X1))
| big_f(X1,sK0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f51,plain,
! [X2,X1] :
( ~ big_f(sK3(X1,X2),sK0)
| big_f(X1,sK0)
| ~ big_f(X2,sK1(X1)) ),
inference(duplicate_literal_removal,[],[f48]) ).
fof(f48,plain,
! [X2,X1] :
( ~ big_f(X2,sK1(X1))
| big_f(X1,sK0)
| ~ big_f(sK3(X1,X2),sK0)
| big_f(X1,sK0) ),
inference(resolution,[],[f38,f7]) ).
fof(f7,plain,
! [X3,X1] :
( big_f(sK3(X1,X3),sK1(X1))
| ~ big_f(X3,sK1(X1))
| big_f(X1,sK0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f38,plain,
! [X0,X1] :
( ~ big_f(X0,sK1(X1))
| big_f(X1,sK0)
| ~ big_f(X0,sK0) ),
inference(subsumption_resolution,[],[f37,f10]) ).
fof(f10,plain,
! [X2,X1] :
( ~ big_f(X1,sK0)
| ~ big_f(X1,X2)
| big_f(sK2(X2),X2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f37,plain,
! [X0,X1] :
( big_f(X1,sK0)
| ~ big_f(sK2(sK1(X1)),sK1(X1))
| ~ big_f(X0,sK1(X1))
| ~ big_f(X0,sK0) ),
inference(duplicate_literal_removal,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ~ big_f(sK2(sK1(X1)),sK1(X1))
| ~ big_f(X0,sK1(X1))
| ~ big_f(X0,sK0)
| big_f(X1,sK0)
| ~ big_f(sK2(sK1(X1)),sK1(X1))
| big_f(X1,sK0) ),
inference(resolution,[],[f17,f7]) ).
fof(f17,plain,
! [X2,X0,X1] :
( ~ big_f(sK3(X2,sK2(X1)),X1)
| ~ big_f(X0,sK0)
| ~ big_f(X0,X1)
| ~ big_f(sK2(X1),sK1(X2))
| big_f(X2,sK0) ),
inference(resolution,[],[f9,f8]) ).
fof(f9,plain,
! [X2,X1,X4] :
( ~ big_f(X4,sK2(X2))
| ~ big_f(X1,X2)
| ~ big_f(X1,sK0)
| ~ big_f(X4,X2) ),
inference(cnf_transformation,[],[f6]) ).
fof(f127,plain,
~ spl5_6,
inference(avatar_contradiction_clause,[],[f126]) ).
fof(f126,plain,
( $false
| ~ spl5_6 ),
inference(subsumption_resolution,[],[f122,f89]) ).
fof(f89,plain,
( big_f(sK0,sK0)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f122,plain,
( ~ big_f(sK0,sK0)
| ~ spl5_6 ),
inference(backward_demodulation,[],[f97,f110]) ).
fof(f110,plain,
( sK0 = sK2(sK4(sK0))
| ~ spl5_6 ),
inference(unit_resulting_resolution,[],[f99,f13]) ).
fof(f13,plain,
! [X2,X0] :
( ~ big_f(X2,sK4(X0))
| X0 = X2 ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
? [X1] :
! [X2] :
( big_f(X2,X1)
<=> X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel54_1) ).
fof(f99,plain,
( big_f(sK2(sK4(sK0)),sK4(sK0))
| ~ spl5_6 ),
inference(unit_resulting_resolution,[],[f14,f89,f10]) ).
fof(f14,plain,
! [X2] : big_f(X2,sK4(X2)),
inference(equality_resolution,[],[f12]) ).
fof(f12,plain,
! [X2,X0] :
( X0 != X2
| big_f(X2,sK4(X0)) ),
inference(cnf_transformation,[],[f1]) ).
fof(f97,plain,
( ~ big_f(sK0,sK2(sK4(sK0)))
| ~ spl5_6 ),
inference(unit_resulting_resolution,[],[f14,f14,f89,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN077+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n007.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 21:13:31 EDT 2022
% 0.19/0.35 % CPUTime :
% 0.19/0.49 % (28006)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50 % (27998)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51 % (28006)First to succeed.
% 0.19/0.51 % (28007)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.51 % (28000)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (28000)Instruction limit reached!
% 0.19/0.51 % (28000)------------------------------
% 0.19/0.51 % (28000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (28000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (28000)Termination reason: Unknown
% 0.19/0.51 % (28000)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (28000)Memory used [KB]: 5884
% 0.19/0.51 % (28000)Time elapsed: 0.108 s
% 0.19/0.51 % (28000)Instructions burned: 3 (million)
% 0.19/0.51 % (28000)------------------------------
% 0.19/0.51 % (28000)------------------------------
% 0.19/0.52 % (28001)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (28006)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (28006)------------------------------
% 0.19/0.52 % (28006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (28006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (28006)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (28006)Memory used [KB]: 6012
% 0.19/0.52 % (28006)Time elapsed: 0.098 s
% 0.19/0.52 % (28006)Instructions burned: 5 (million)
% 0.19/0.52 % (28006)------------------------------
% 0.19/0.52 % (28006)------------------------------
% 0.19/0.52 % (27997)Success in time 0.163 s
%------------------------------------------------------------------------------