TSTP Solution File: SWV188+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV188+1 : TPTP v8.1.0. Bugfixed 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 : n003.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 18:44:26 EDT 2022
% Result : Theorem 0.23s 0.53s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 239 ( 59 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 296 ( 93 ~; 83 |; 78 &)
% ( 2 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 15 con; 0-3 aty)
% Number of variables : 82 ( 78 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f403,plain,
$false,
inference(subsumption_resolution,[],[f370,f168]) ).
fof(f168,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f370,plain,
gt(n0,n0),
inference(backward_demodulation,[],[f239,f365]) ).
fof(f365,plain,
n0 = sK0,
inference(subsumption_resolution,[],[f361,f179]) ).
fof(f179,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( leq(n0,sK0)
& init != a_select2(mu_init,sK0)
& leq(sK0,tptp_minus_1)
& ( ~ gt(loopcounter,n1)
| ! [X1] :
( ~ leq(n0,X1)
| init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4) ) )
& ! [X2] :
( ~ leq(X2,n4)
| ~ leq(n0,X2)
| init = a_select3(center_init,X2,n0) )
& ( ~ gt(loopcounter,n1)
| ! [X3] :
( ~ leq(X3,n4)
| init = a_select2(rhoold_init,X3)
| ~ leq(n0,X3) ) )
& ( ~ gt(loopcounter,n1)
| ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n4)
| init = a_select2(muold_init,X4) ) )
& ! [X5] :
( ~ leq(X5,n135299)
| ~ leq(n0,X5)
| ! [X6] :
( ~ leq(X6,n4)
| init = a_select3(q_init,X5,X6)
| ~ leq(n0,X6) ) )
& ! [X7] :
( init = a_select2(rho_init,X7)
| ~ leq(n0,X7)
| ~ leq(X7,n4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f130,f131]) ).
fof(f131,plain,
( ? [X0] :
( leq(n0,X0)
& init != a_select2(mu_init,X0)
& leq(X0,tptp_minus_1) )
=> ( leq(n0,sK0)
& init != a_select2(mu_init,sK0)
& leq(sK0,tptp_minus_1) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
( ? [X0] :
( leq(n0,X0)
& init != a_select2(mu_init,X0)
& leq(X0,tptp_minus_1) )
& ( ~ gt(loopcounter,n1)
| ! [X1] :
( ~ leq(n0,X1)
| init = a_select2(sigmaold_init,X1)
| ~ leq(X1,n4) ) )
& ! [X2] :
( ~ leq(X2,n4)
| ~ leq(n0,X2)
| init = a_select3(center_init,X2,n0) )
& ( ~ gt(loopcounter,n1)
| ! [X3] :
( ~ leq(X3,n4)
| init = a_select2(rhoold_init,X3)
| ~ leq(n0,X3) ) )
& ( ~ gt(loopcounter,n1)
| ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n4)
| init = a_select2(muold_init,X4) ) )
& ! [X5] :
( ~ leq(X5,n135299)
| ~ leq(n0,X5)
| ! [X6] :
( ~ leq(X6,n4)
| init = a_select3(q_init,X5,X6)
| ~ leq(n0,X6) ) )
& ! [X7] :
( init = a_select2(rho_init,X7)
| ~ leq(n0,X7)
| ~ leq(X7,n4) ) ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
( ? [X7] :
( leq(n0,X7)
& init != a_select2(mu_init,X7)
& leq(X7,tptp_minus_1) )
& ( ~ gt(loopcounter,n1)
| ! [X2] :
( ~ leq(n0,X2)
| init = a_select2(sigmaold_init,X2)
| ~ leq(X2,n4) ) )
& ! [X0] :
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| init = a_select3(center_init,X0,n0) )
& ( ~ gt(loopcounter,n1)
| ! [X3] :
( ~ leq(X3,n4)
| init = a_select2(rhoold_init,X3)
| ~ leq(n0,X3) ) )
& ( ~ gt(loopcounter,n1)
| ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n4)
| init = a_select2(muold_init,X4) ) )
& ! [X5] :
( ~ leq(X5,n135299)
| ~ leq(n0,X5)
| ! [X6] :
( ~ leq(X6,n4)
| init = a_select3(q_init,X5,X6)
| ~ leq(n0,X6) ) )
& ! [X1] :
( init = a_select2(rho_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) ) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
( ? [X7] :
( init != a_select2(mu_init,X7)
& leq(X7,tptp_minus_1)
& leq(n0,X7) )
& ( ! [X2] :
( init = a_select2(sigmaold_init,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
| ~ gt(loopcounter,n1) )
& ( ! [X4] :
( init = a_select2(muold_init,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n4) )
| ~ gt(loopcounter,n1) )
& ! [X1] :
( init = a_select2(rho_init,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
& ! [X0] :
( init = a_select3(center_init,X0,n0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
& ! [X5] :
( ! [X6] :
( init = a_select3(q_init,X5,X6)
| ~ leq(n0,X6)
| ~ leq(X6,n4) )
| ~ leq(n0,X5)
| ~ leq(X5,n135299) )
& ( ! [X3] :
( init = a_select2(rhoold_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n1) ) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ( gt(loopcounter,n1)
=> ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> init = a_select2(sigmaold_init,X2) ) )
& ( gt(loopcounter,n1)
=> ! [X4] :
( ( leq(n0,X4)
& leq(X4,n4) )
=> init = a_select2(muold_init,X4) ) )
& ! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> init = a_select2(rho_init,X1) )
& ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select3(center_init,X0,n0) )
& ! [X5] :
( ( leq(n0,X5)
& leq(X5,n135299) )
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n4) )
=> init = a_select3(q_init,X5,X6) ) )
& ( gt(loopcounter,n1)
=> ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rhoold_init,X3) ) ) )
=> ! [X7] :
( ( leq(X7,tptp_minus_1)
& leq(n0,X7) )
=> init = a_select2(mu_init,X7) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select3(center_init,X19,n0) )
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select2(rho_init,X3) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n4) )
=> init = a_select2(sigmaold_init,X27) ) )
& ( gt(loopcounter,n1)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(rhoold_init,X21) ) )
& ( gt(loopcounter,n1)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(muold_init,X20) ) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n4) )
=> a_select3(q_init,X13,X17) = init ) ) )
=> ! [X28] :
( ( leq(n0,X28)
& leq(X28,tptp_minus_1) )
=> init = a_select2(mu_init,X28) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select3(center_init,X19,n0) )
& ! [X3] :
( ( leq(n0,X3)
& leq(X3,n4) )
=> init = a_select2(rho_init,X3) )
& ( gt(loopcounter,n1)
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n4) )
=> init = a_select2(sigmaold_init,X27) ) )
& ( gt(loopcounter,n1)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(rhoold_init,X21) ) )
& ( gt(loopcounter,n1)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(muold_init,X20) ) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n4) )
=> a_select3(q_init,X13,X17) = init ) ) )
=> ! [X28] :
( ( leq(n0,X28)
& leq(X28,tptp_minus_1) )
=> init = a_select2(mu_init,X28) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0116) ).
fof(f361,plain,
( ~ leq(n0,sK0)
| n0 = sK0 ),
inference(resolution,[],[f180,f258]) ).
fof(f258,plain,
leq(sK0,n0),
inference(forward_demodulation,[],[f252,f161]) ).
fof(f161,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f252,plain,
leq(sK0,succ(tptp_minus_1)),
inference(resolution,[],[f187,f177]) ).
fof(f177,plain,
leq(sK0,tptp_minus_1),
inference(cnf_transformation,[],[f132]) ).
fof(f187,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,succ(X1)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,succ(X1)) ),
inference(rectify,[],[f120]) ).
fof(f120,plain,
! [X1,X0] :
( ~ leq(X1,X0)
| leq(X1,succ(X0)) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( leq(X1,X0)
=> leq(X1,succ(X0)) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( leq(X0,X1)
=> leq(X0,succ(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ) ).
fof(f180,plain,
! [X0] :
( ~ leq(X0,n0)
| ~ leq(n0,X0)
| n0 = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| n0 = X0 ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0] :
( n0 = X0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ( leq(n0,X0)
& leq(X0,n0) )
=> n0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f239,plain,
gt(n0,sK0),
inference(forward_demodulation,[],[f233,f161]) ).
fof(f233,plain,
gt(succ(tptp_minus_1),sK0),
inference(resolution,[],[f138,f177]) ).
fof(f138,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ( gt(succ(X1),X0)
| ~ leq(X0,X1) )
& ( leq(X0,X1)
| ~ gt(succ(X1),X0) ) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
! [X1,X0] :
( ( gt(succ(X0),X1)
| ~ leq(X1,X0) )
& ( leq(X1,X0)
| ~ gt(succ(X0),X1) ) ),
inference(nnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X1,X0] :
( gt(succ(X0),X1)
<=> leq(X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV188+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 19:06:07 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.23/0.51 % (14068)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)
% 0.23/0.51 % (14055)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)
% 0.23/0.52 % (14055)Instruction limit reached!
% 0.23/0.52 % (14055)------------------------------
% 0.23/0.52 % (14055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.52 % (14060)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.53 % (14068)First to succeed.
% 0.23/0.53 % (14060)Instruction limit reached!
% 0.23/0.53 % (14060)------------------------------
% 0.23/0.53 % (14060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.53 % (14060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.53 % (14060)Termination reason: Unknown
% 0.23/0.53 % (14060)Termination phase: Preprocessing 3
% 0.23/0.53
% 0.23/0.53 % (14060)Memory used [KB]: 1535
% 0.23/0.53 % (14060)Time elapsed: 0.005 s
% 0.23/0.53 % (14060)Instructions burned: 3 (million)
% 0.23/0.53 % (14060)------------------------------
% 0.23/0.53 % (14060)------------------------------
% 0.23/0.53 % (14055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.53 % (14055)Termination reason: Unknown
% 0.23/0.53 % (14055)Termination phase: Saturation
% 0.23/0.53
% 0.23/0.53 % (14055)Memory used [KB]: 1918
% 0.23/0.53 % (14055)Time elapsed: 0.100 s
% 0.23/0.53 % (14055)Instructions burned: 16 (million)
% 0.23/0.53 % (14055)------------------------------
% 0.23/0.53 % (14055)------------------------------
% 0.23/0.53 % (14068)Refutation found. Thanks to Tanya!
% 0.23/0.53 % SZS status Theorem for theBenchmark
% 0.23/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.53 % (14068)------------------------------
% 0.23/0.53 % (14068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.53 % (14068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.53 % (14068)Termination reason: Refutation
% 0.23/0.53
% 0.23/0.53 % (14068)Memory used [KB]: 6140
% 0.23/0.53 % (14068)Time elapsed: 0.104 s
% 0.23/0.53 % (14068)Instructions burned: 10 (million)
% 0.23/0.53 % (14068)------------------------------
% 0.23/0.53 % (14068)------------------------------
% 0.23/0.53 % (14042)Success in time 0.156 s
%------------------------------------------------------------------------------