TSTP Solution File: SYN068+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN068+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 : n027.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 19:25:25 EDT 2022
% Result : Theorem 1.37s 0.53s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 5 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 56 ( 20 ~; 11 |; 20 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 26 ( 15 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,plain,
$false,
inference(unit_resulting_resolution,[],[f20,f23,f14]) ).
fof(f14,plain,
! [X0] :
( ~ big_h(X0,sK1(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0] :
( ( big_g(sK0(X0))
& big_h(X0,sK0(X0))
& ~ big_h(X0,sK1(X0))
& big_g(sK1(X0)) )
| ~ big_f(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f9,f8]) ).
fof(f8,plain,
! [X0] :
( ? [X1] :
( big_g(X1)
& big_h(X0,X1) )
=> ( big_g(sK0(X0))
& big_h(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
! [X0] :
( ? [X2] :
( ~ big_h(X0,X2)
& big_g(X2) )
=> ( ~ big_h(X0,sK1(X0))
& big_g(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
! [X0] :
( ( ? [X1] :
( big_g(X1)
& big_h(X0,X1) )
& ? [X2] :
( ~ big_h(X0,X2)
& big_g(X2) ) )
| ~ big_f(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( big_f(X0)
=> ( ? [X1] :
( big_g(X1)
& big_h(X0,X1) )
& ? [X2] :
( ~ big_h(X0,X2)
& big_g(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel44_1) ).
fof(f23,plain,
big_h(sK2,sK1(sK2)),
inference(unit_resulting_resolution,[],[f21,f18]) ).
fof(f18,plain,
! [X1] :
( big_h(sK2,X1)
| ~ big_g(X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
( big_j(sK2)
& ! [X1] :
( ~ big_g(X1)
| big_h(sK2,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f7,f11]) ).
fof(f11,plain,
( ? [X0] :
( big_j(X0)
& ! [X1] :
( ~ big_g(X1)
| big_h(X0,X1) ) )
=> ( big_j(sK2)
& ! [X1] :
( ~ big_g(X1)
| big_h(sK2,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
? [X0] :
( big_j(X0)
& ! [X1] :
( ~ big_g(X1)
| big_h(X0,X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
? [X0] :
( ! [X1] :
( big_g(X1)
=> big_h(X0,X1) )
& big_j(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel44_2) ).
fof(f21,plain,
big_g(sK1(sK2)),
inference(unit_resulting_resolution,[],[f20,f13]) ).
fof(f13,plain,
! [X0] :
( big_g(sK1(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f20,plain,
big_f(sK2),
inference(unit_resulting_resolution,[],[f19,f17]) ).
fof(f17,plain,
! [X0] :
( ~ big_j(X0)
| big_f(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0] :
( big_f(X0)
| ~ big_j(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,negated_conjecture,
~ ? [X0] :
( big_j(X0)
& ~ big_f(X0) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
? [X0] :
( big_j(X0)
& ~ big_f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel44) ).
fof(f19,plain,
big_j(sK2),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN068+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 21:42:31 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (6444)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)
% 0.21/0.51 % (6438)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)
% 0.21/0.51 % (6449)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (6460)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51 % (6452)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51 % (6452)Refutation not found, incomplete strategy% (6452)------------------------------
% 0.21/0.51 % (6452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (6452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (6452)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (6452)Memory used [KB]: 5884
% 0.21/0.51 % (6452)Time elapsed: 0.105 s
% 0.21/0.51 % (6452)Instructions burned: 1 (million)
% 0.21/0.51 % (6452)------------------------------
% 0.21/0.51 % (6452)------------------------------
% 0.21/0.51 % (6447)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.23/0.52 % (6436)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.23/0.52 % (6451)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.23/0.52 % (6459)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.23/0.52 % (6459)Refutation not found, incomplete strategy% (6459)------------------------------
% 1.23/0.52 % (6459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.52 % (6459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.52 % (6459)Termination reason: Refutation not found, incomplete strategy
% 1.23/0.52
% 1.23/0.52 % (6459)Memory used [KB]: 1407
% 1.23/0.52 % (6459)Time elapsed: 0.079 s
% 1.23/0.52 % (6459)Instructions burned: 2 (million)
% 1.23/0.52 % (6459)------------------------------
% 1.23/0.52 % (6459)------------------------------
% 1.23/0.53 % (6442)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)
% 1.23/0.53 % (6441)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.23/0.53 % (6441)Refutation not found, incomplete strategy% (6441)------------------------------
% 1.23/0.53 % (6441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.53 % (6441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.53 % (6441)Termination reason: Refutation not found, incomplete strategy
% 1.23/0.53
% 1.23/0.53 % (6441)Memory used [KB]: 1407
% 1.23/0.53 % (6441)Time elapsed: 0.113 s
% 1.23/0.53 % (6441)------------------------------
% 1.23/0.53 % (6441)------------------------------
% 1.23/0.53 % (6449)First to succeed.
% 1.23/0.53 % (6448)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.23/0.53 % (6448)Refutation not found, incomplete strategy% (6448)------------------------------
% 1.23/0.53 % (6448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.53 % (6448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.53 % (6448)Termination reason: Refutation not found, incomplete strategy
% 1.23/0.53
% 1.23/0.53 % (6448)Memory used [KB]: 1407
% 1.23/0.53 % (6448)Time elapsed: 0.126 s
% 1.23/0.53 % (6448)Instructions burned: 1 (million)
% 1.23/0.53 % (6448)------------------------------
% 1.23/0.53 % (6448)------------------------------
% 1.37/0.53 % (6449)Refutation found. Thanks to Tanya!
% 1.37/0.53 % SZS status Theorem for theBenchmark
% 1.37/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.53 % (6449)------------------------------
% 1.37/0.53 % (6449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.53 % (6449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.53 % (6449)Termination reason: Refutation
% 1.37/0.53
% 1.37/0.53 % (6449)Memory used [KB]: 5884
% 1.37/0.53 % (6449)Time elapsed: 0.107 s
% 1.37/0.53 % (6449)------------------------------
% 1.37/0.53 % (6449)------------------------------
% 1.37/0.53 % (6435)Success in time 0.176 s
%------------------------------------------------------------------------------