TSTP Solution File: SWV189+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV189+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 : n024.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 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 16 unt; 0 def)
% Number of atoms : 124 ( 28 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 120 ( 35 ~; 23 |; 44 &)
% ( 1 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-3 aty)
% Number of variables : 51 ( 41 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f288,plain,
$false,
inference(subsumption_resolution,[],[f274,f179]) ).
fof(f179,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f274,plain,
gt(n0,n0),
inference(backward_demodulation,[],[f218,f262]) ).
fof(f262,plain,
n0 = sK0,
inference(unit_resulting_resolution,[],[f140,f219,f168]) ).
fof(f168,plain,
! [X0] :
( ~ leq(n0,X0)
| n0 = X0
| ~ leq(X0,n0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ~ leq(n0,X0)
| n0 = X0
| ~ leq(X0,n0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0] :
( n0 = X0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ( leq(n0,X0)
& leq(X0,n0) )
=> n0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f219,plain,
leq(sK0,n0),
inference(forward_demodulation,[],[f215,f211]) ).
fof(f211,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f184,f162]) ).
fof(f162,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f184,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f215,plain,
leq(sK0,plus(tptp_minus_1,n1)),
inference(unit_resulting_resolution,[],[f136,f197]) ).
fof(f197,plain,
! [X0,X1] :
( leq(X1,plus(X0,n1))
| ~ leq(X1,X0) ),
inference(definition_unfolding,[],[f154,f162]) ).
fof(f154,plain,
! [X0,X1] :
( leq(X1,succ(X0))
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( leq(X1,succ(X0))
| ~ leq(X1,X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
! [X1,X0] :
( 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/sandbox/benchmark/theBenchmark.p',leq_succ) ).
fof(f136,plain,
leq(sK0,tptp_minus_1),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( leq(n0,sK0)
& init != a_select3(q_init,sK0,sK1)
& leq(sK1,n4)
& leq(n0,sK1)
& leq(sK0,tptp_minus_1)
& ! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n4)
| init = a_select3(center_init,X2,n0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f116,f118,f117]) ).
fof(f117,plain,
( ? [X0] :
( leq(n0,X0)
& ? [X1] :
( init != a_select3(q_init,X0,X1)
& leq(X1,n4)
& leq(n0,X1) )
& leq(X0,tptp_minus_1) )
=> ( leq(n0,sK0)
& ? [X1] :
( init != a_select3(q_init,sK0,X1)
& leq(X1,n4)
& leq(n0,X1) )
& leq(sK0,tptp_minus_1) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
( ? [X1] :
( init != a_select3(q_init,sK0,X1)
& leq(X1,n4)
& leq(n0,X1) )
=> ( init != a_select3(q_init,sK0,sK1)
& leq(sK1,n4)
& leq(n0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
( ? [X0] :
( leq(n0,X0)
& ? [X1] :
( init != a_select3(q_init,X0,X1)
& leq(X1,n4)
& leq(n0,X1) )
& leq(X0,tptp_minus_1) )
& ! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n4)
| init = a_select3(center_init,X2,n0) ) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
( ? [X1] :
( leq(n0,X1)
& ? [X2] :
( init != a_select3(q_init,X1,X2)
& leq(X2,n4)
& leq(n0,X2) )
& leq(X1,tptp_minus_1) )
& ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n4)
| init = a_select3(center_init,X0,n0) ) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
( ? [X1] :
( ? [X2] :
( init != a_select3(q_init,X1,X2)
& leq(n0,X2)
& leq(X2,n4) )
& leq(X1,tptp_minus_1)
& leq(n0,X1) )
& ! [X0] :
( init = a_select3(center_init,X0,n0)
| ~ leq(n0,X0)
| ~ leq(X0,n4) ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
~ ( ! [X0] :
( ( leq(n0,X0)
& leq(X0,n4) )
=> init = a_select3(center_init,X0,n0) )
=> ! [X1] :
( ( leq(X1,tptp_minus_1)
& leq(n0,X1) )
=> ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> init = a_select3(q_init,X1,X2) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ! [X13] :
( ( leq(n0,X13)
& leq(X13,n4) )
=> a_select3(center_init,X13,n0) = init )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,tptp_minus_1) )
=> ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(q_init,X17,X3) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ! [X13] :
( ( leq(n0,X13)
& leq(X13,n4) )
=> a_select3(center_init,X13,n0) = init )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,tptp_minus_1) )
=> ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(q_init,X17,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0121) ).
fof(f140,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f119]) ).
fof(f218,plain,
gt(n0,sK0),
inference(forward_demodulation,[],[f216,f211]) ).
fof(f216,plain,
gt(plus(tptp_minus_1,n1),sK0),
inference(unit_resulting_resolution,[],[f136,f210]) ).
fof(f210,plain,
! [X0,X1] :
( gt(plus(X0,n1),X1)
| ~ leq(X1,X0) ),
inference(definition_unfolding,[],[f180,f162]) ).
fof(f180,plain,
! [X0,X1] :
( gt(succ(X0),X1)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ( leq(X1,X0)
| ~ gt(succ(X0),X1) )
& ( gt(succ(X0),X1)
| ~ leq(X1,X0) ) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
! [X1,X0] :
( ( leq(X0,X1)
| ~ gt(succ(X1),X0) )
& ( gt(succ(X1),X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV189+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n024.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 19:08:04 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.50 % (884)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)
% 0.21/0.51 % (894)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.21/0.51 % (897)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.51 % (889)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)
% 0.21/0.51 % (884)Instruction limit reached!
% 0.21/0.51 % (884)------------------------------
% 0.21/0.51 % (884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (889)Instruction limit reached!
% 0.21/0.52 % (889)------------------------------
% 0.21/0.52 % (889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (889)Termination reason: Unknown
% 0.21/0.52 % (889)Termination phase: Preprocessing 3
% 0.21/0.52
% 0.21/0.52 % (889)Memory used [KB]: 1535
% 0.21/0.52 % (889)Time elapsed: 0.004 s
% 0.21/0.52 % (889)Instructions burned: 3 (million)
% 0.21/0.52 % (889)------------------------------
% 0.21/0.52 % (889)------------------------------
% 0.21/0.52 % (902)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.52 % (884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (884)Termination reason: Unknown
% 0.21/0.52 % (884)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (884)Memory used [KB]: 6140
% 0.21/0.52 % (884)Time elapsed: 0.094 s
% 0.21/0.52 % (884)Instructions burned: 7 (million)
% 0.21/0.52 % (884)------------------------------
% 0.21/0.52 % (884)------------------------------
% 0.21/0.52 % (877)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.52 % (879)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)
% 0.21/0.53 % (885)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)
% 0.21/0.53 % (883)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.53 % (882)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)
% 0.21/0.53 % (878)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)
% 0.21/0.53 % (894)Instruction limit reached!
% 0.21/0.53 % (894)------------------------------
% 0.21/0.53 % (894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (894)Termination reason: Unknown
% 0.21/0.53 % (894)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (894)Memory used [KB]: 6140
% 0.21/0.53 % (894)Time elapsed: 0.112 s
% 0.21/0.53 % (894)Instructions burned: 11 (million)
% 0.21/0.53 % (894)------------------------------
% 0.21/0.53 % (894)------------------------------
% 0.21/0.53 % (873)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.54 % (902)Instruction limit reached!
% 0.21/0.54 % (902)------------------------------
% 0.21/0.54 % (902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (902)Termination reason: Unknown
% 0.21/0.54 % (902)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (902)Memory used [KB]: 6524
% 0.21/0.54 % (902)Time elapsed: 0.117 s
% 0.21/0.54 % (895)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.54 % (902)Instructions burned: 25 (million)
% 0.21/0.54 % (902)------------------------------
% 0.21/0.54 % (902)------------------------------
% 0.21/0.54 % (874)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.54 % (891)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)
% 0.21/0.55 % (876)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)
% 0.21/0.55 % (898)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)
% 0.21/0.55 % (875)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)
% 0.21/0.55 % (875)Instruction limit reached!
% 0.21/0.55 % (875)------------------------------
% 0.21/0.55 % (875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (875)Termination reason: Unknown
% 0.21/0.55 % (875)Termination phase: Preprocessing 3
% 0.21/0.55
% 0.21/0.55 % (875)Memory used [KB]: 1535
% 0.21/0.55 % (875)Time elapsed: 0.003 s
% 0.21/0.55 % (875)Instructions burned: 3 (million)
% 0.21/0.55 % (875)------------------------------
% 0.21/0.55 % (875)------------------------------
% 0.21/0.55 % (876)Refutation not found, incomplete strategy% (876)------------------------------
% 0.21/0.55 % (876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (876)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55
% 0.21/0.55 % (876)Memory used [KB]: 6012
% 0.21/0.55 % (876)Time elapsed: 0.125 s
% 0.21/0.55 % (876)Instructions burned: 3 (million)
% 0.21/0.55 % (876)------------------------------
% 0.21/0.55 % (876)------------------------------
% 0.21/0.55 % (896)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 % (877)Instruction limit reached!
% 0.21/0.55 % (877)------------------------------
% 0.21/0.55 % (877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (877)Termination reason: Unknown
% 0.21/0.55 % (877)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (877)Memory used [KB]: 6268
% 0.21/0.55 % (877)Time elapsed: 0.132 s
% 0.21/0.55 % (877)Instructions burned: 14 (million)
% 0.21/0.55 % (877)------------------------------
% 0.21/0.55 % (877)------------------------------
% 0.21/0.55 % (882)First to succeed.
% 0.21/0.55 % (882)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Theorem for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (882)------------------------------
% 0.21/0.55 % (882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (882)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (882)Memory used [KB]: 6140
% 0.21/0.55 % (882)Time elapsed: 0.125 s
% 0.21/0.55 % (882)Instructions burned: 6 (million)
% 0.21/0.55 % (882)------------------------------
% 0.21/0.55 % (882)------------------------------
% 0.21/0.55 % (872)Success in time 0.181 s
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