TSTP Solution File: SWV395+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV395+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_uns --cores 0 -t %d %s
% Computer : n004.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 18:45:26 EDT 2022
% Result : Theorem 0.16s 0.52s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 38 ( 10 ~; 0 |; 24 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 32 ( 16 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f115,plain,
$false,
inference(resolution,[],[f88,f102]) ).
fof(f102,plain,
pair_in_list(create_slb,sK3,sK0),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( strictly_less_than(sK3,sK0)
& ok(remove_cpq(triple(sK2,create_slb,sK1),sK3))
& pair_in_list(create_slb,sK3,sK0)
& ~ pair_in_list(remove_slb(create_slb,sK3),sK3,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f77,f78]) ).
fof(f78,plain,
( ? [X0,X1,X2,X3] :
( strictly_less_than(X3,X0)
& ok(remove_cpq(triple(X2,create_slb,X1),X3))
& pair_in_list(create_slb,X3,X0)
& ~ pair_in_list(remove_slb(create_slb,X3),X3,X0) )
=> ( strictly_less_than(sK3,sK0)
& ok(remove_cpq(triple(sK2,create_slb,sK1),sK3))
& pair_in_list(create_slb,sK3,sK0)
& ~ pair_in_list(remove_slb(create_slb,sK3),sK3,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
? [X0,X1,X2,X3] :
( strictly_less_than(X3,X0)
& ok(remove_cpq(triple(X2,create_slb,X1),X3))
& pair_in_list(create_slb,X3,X0)
& ~ pair_in_list(remove_slb(create_slb,X3),X3,X0) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
? [X1,X2,X0,X3] :
( strictly_less_than(X3,X1)
& ok(remove_cpq(triple(X0,create_slb,X2),X3))
& pair_in_list(create_slb,X3,X1)
& ~ pair_in_list(remove_slb(create_slb,X3),X3,X1) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
? [X0,X2,X3,X1] :
( ~ pair_in_list(remove_slb(create_slb,X3),X3,X1)
& pair_in_list(create_slb,X3,X1)
& strictly_less_than(X3,X1)
& ok(remove_cpq(triple(X0,create_slb,X2),X3)) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
~ ! [X0,X2,X3,X1] :
( ( pair_in_list(create_slb,X3,X1)
& strictly_less_than(X3,X1)
& ok(remove_cpq(triple(X0,create_slb,X2),X3)) )
=> pair_in_list(remove_slb(create_slb,X3),X3,X1) ),
inference(rectify,[],[f43]) ).
fof(f43,negated_conjecture,
~ ! [X0,X3,X1,X2] :
( ( pair_in_list(create_slb,X2,X3)
& strictly_less_than(X2,X3)
& ok(remove_cpq(triple(X0,create_slb,X1),X2)) )
=> pair_in_list(remove_slb(create_slb,X2),X2,X3) ),
inference(negated_conjecture,[],[f42]) ).
fof(f42,conjecture,
! [X0,X3,X1,X2] :
( ( pair_in_list(create_slb,X2,X3)
& strictly_less_than(X2,X3)
& ok(remove_cpq(triple(X0,create_slb,X1),X2)) )
=> pair_in_list(remove_slb(create_slb,X2),X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l31_co) ).
fof(f88,plain,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SWV395+1 : TPTP v8.1.0. Released v3.3.0.
% 0.05/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.35 % Computer : n004.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8042.1875MB
% 0.10/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Tue Aug 30 19:18:19 EDT 2022
% 0.10/0.35 % CPUTime :
% 0.16/0.51 % (9096)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)
% 0.16/0.51 % (9107)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.52 % (9104)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.52 % (9107)Instruction limit reached!
% 0.16/0.52 % (9107)------------------------------
% 0.16/0.52 % (9107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52 % (9104)Instruction limit reached!
% 0.16/0.52 % (9104)------------------------------
% 0.16/0.52 % (9104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52 % (9104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52 % (9104)Termination reason: Unknown
% 0.16/0.52 % (9104)Termination phase: Saturation
% 0.16/0.52
% 0.16/0.52 % (9104)Memory used [KB]: 6012
% 0.16/0.52 % (9104)Time elapsed: 0.004 s
% 0.16/0.52 % (9104)Instructions burned: 4 (million)
% 0.16/0.52 % (9104)------------------------------
% 0.16/0.52 % (9104)------------------------------
% 0.16/0.52 % (9096)First to succeed.
% 0.16/0.52 % (9115)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.16/0.52 % (9107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52 % (9107)Termination reason: Unknown
% 0.16/0.52 % (9107)Termination phase: Function definition elimination
% 0.16/0.52
% 0.16/0.52 % (9107)Memory used [KB]: 1535
% 0.16/0.52 % (9107)Time elapsed: 0.004 s
% 0.16/0.52 % (9107)Instructions burned: 3 (million)
% 0.16/0.52 % (9107)------------------------------
% 0.16/0.52 % (9107)------------------------------
% 0.16/0.52 % (9099)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)
% 0.16/0.52 % (9096)Refutation found. Thanks to Tanya!
% 0.16/0.52 % SZS status Theorem for theBenchmark
% 0.16/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.52 % (9096)------------------------------
% 0.16/0.52 % (9096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52 % (9096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52 % (9096)Termination reason: Refutation
% 0.16/0.52
% 0.16/0.52 % (9096)Memory used [KB]: 6012
% 0.16/0.52 % (9096)Time elapsed: 0.109 s
% 0.16/0.52 % (9096)Instructions burned: 3 (million)
% 0.16/0.52 % (9096)------------------------------
% 0.16/0.52 % (9096)------------------------------
% 0.16/0.52 % (9089)Success in time 0.169 s
%------------------------------------------------------------------------------