TSTP Solution File: SWV174+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV174+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 : n029.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 18:44:24 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 44 ( 13 unt; 0 def)
% Number of atoms : 198 ( 29 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 217 ( 63 ~; 55 |; 74 &)
% ( 6 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-3 aty)
% Number of variables : 53 ( 45 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f339,plain,
$false,
inference(avatar_sat_refutation,[],[f320,f324,f330,f334,f338]) ).
fof(f338,plain,
spl3_8,
inference(avatar_contradiction_clause,[],[f335]) ).
fof(f335,plain,
( $false
| spl3_8 ),
inference(resolution,[],[f319,f178]) ).
fof(f178,plain,
leq(sK1,n4),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( init != a_select3(q_init,sK0,sK1)
& leq(n0,sK1)
& leq(n0,sK0)
& gt(pv10,sK0)
& leq(sK0,n135299)
& leq(sK1,n4)
& ! [X2] :
( ~ leq(X2,pred(pv10))
| ~ leq(n0,X2)
| ! [X3] :
( ~ leq(n0,X3)
| init = a_select3(q_init,X2,X3)
| ~ leq(X3,n4) ) )
& leq(n0,pv10)
& leq(pv10,n135299)
& ! [X4] :
( ~ leq(X4,n4)
| init = a_select3(center_init,X4,n0)
| ~ leq(n0,X4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f126,f127]) ).
fof(f127,plain,
( ? [X0,X1] :
( init != a_select3(q_init,X0,X1)
& leq(n0,X1)
& leq(n0,X0)
& gt(pv10,X0)
& leq(X0,n135299)
& leq(X1,n4) )
=> ( init != a_select3(q_init,sK0,sK1)
& leq(n0,sK1)
& leq(n0,sK0)
& gt(pv10,sK0)
& leq(sK0,n135299)
& leq(sK1,n4) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
( ? [X0,X1] :
( init != a_select3(q_init,X0,X1)
& leq(n0,X1)
& leq(n0,X0)
& gt(pv10,X0)
& leq(X0,n135299)
& leq(X1,n4) )
& ! [X2] :
( ~ leq(X2,pred(pv10))
| ~ leq(n0,X2)
| ! [X3] :
( ~ leq(n0,X3)
| init = a_select3(q_init,X2,X3)
| ~ leq(X3,n4) ) )
& leq(n0,pv10)
& leq(pv10,n135299)
& ! [X4] :
( ~ leq(X4,n4)
| init = a_select3(center_init,X4,n0)
| ~ leq(n0,X4) ) ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
( ? [X3,X4] :
( init != a_select3(q_init,X3,X4)
& leq(n0,X4)
& leq(n0,X3)
& gt(pv10,X3)
& leq(X3,n135299)
& leq(X4,n4) )
& ! [X1] :
( ~ leq(X1,pred(pv10))
| ~ leq(n0,X1)
| ! [X2] :
( ~ leq(n0,X2)
| init = a_select3(q_init,X1,X2)
| ~ leq(X2,n4) ) )
& leq(n0,pv10)
& leq(pv10,n135299)
& ! [X0] :
( ~ leq(X0,n4)
| init = a_select3(center_init,X0,n0)
| ~ leq(n0,X0) ) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
( ? [X3,X4] :
( init != a_select3(q_init,X3,X4)
& gt(pv10,X3)
& leq(n0,X4)
& leq(n0,X3)
& leq(X3,n135299)
& leq(X4,n4) )
& leq(pv10,n135299)
& ! [X1] :
( ! [X2] :
( init = a_select3(q_init,X1,X2)
| ~ leq(n0,X2)
| ~ leq(X2,n4) )
| ~ leq(X1,pred(pv10))
| ~ leq(n0,X1) )
& leq(n0,pv10)
& ! [X0] :
( init = a_select3(center_init,X0,n0)
| ~ leq(n0,X0)
| ~ leq(X0,n4) ) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( leq(pv10,n135299)
& ! [X1] :
( ( leq(X1,pred(pv10))
& leq(n0,X1) )
=> ! [X2] :
( ( leq(n0,X2)
& leq(X2,n4) )
=> init = a_select3(q_init,X1,X2) ) )
& leq(n0,pv10)
& ! [X0] :
( ( leq(n0,X0)
& leq(X0,n4) )
=> init = a_select3(center_init,X0,n0) ) )
=> ! [X3,X4] :
( ( leq(n0,X4)
& leq(n0,X3)
& leq(X3,n135299)
& leq(X4,n4) )
=> ( gt(pv10,X3)
=> init = a_select3(q_init,X3,X4) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(n0,pv10)
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,pred(pv10)) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n4) )
=> a_select3(q_init,X13,X17) = init ) )
& leq(pv10,n135299) )
=> ! [X19,X20] :
( ( leq(n0,X20)
& leq(X20,n4)
& leq(X19,n135299)
& leq(n0,X19) )
=> ( gt(pv10,X19)
=> init = a_select3(q_init,X19,X20) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(n0,pv10)
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,pred(pv10)) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n4) )
=> a_select3(q_init,X13,X17) = init ) )
& leq(pv10,n135299) )
=> ! [X19,X20] :
( ( leq(n0,X20)
& leq(X20,n4)
& leq(X19,n135299)
& leq(n0,X19) )
=> ( gt(pv10,X19)
=> init = a_select3(q_init,X19,X20) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0046) ).
fof(f319,plain,
( ~ leq(sK1,n4)
| spl3_8 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f317,plain,
( spl3_8
<=> leq(sK1,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f334,plain,
spl3_7,
inference(avatar_contradiction_clause,[],[f331]) ).
fof(f331,plain,
( $false
| spl3_7 ),
inference(resolution,[],[f315,f181]) ).
fof(f181,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f128]) ).
fof(f315,plain,
( ~ leq(n0,sK0)
| spl3_7 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f313,plain,
( spl3_7
<=> leq(n0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f330,plain,
spl3_6,
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f328,plain,
( $false
| spl3_6 ),
inference(resolution,[],[f325,f180]) ).
fof(f180,plain,
gt(pv10,sK0),
inference(cnf_transformation,[],[f128]) ).
fof(f325,plain,
( ~ gt(pv10,sK0)
| spl3_6 ),
inference(resolution,[],[f311,f234]) ).
fof(f234,plain,
! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ),
inference(definition_unfolding,[],[f198,f206]) ).
fof(f206,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f198,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ( gt(X1,X0)
| ~ leq(X0,pred(X1)) )
& ( leq(X0,pred(X1))
| ~ gt(X1,X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( gt(X1,X0)
<=> leq(X0,pred(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f311,plain,
( ~ leq(sK0,minus(pv10,n1))
| spl3_6 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f309,plain,
( spl3_6
<=> leq(sK0,minus(pv10,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f324,plain,
spl3_5,
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f321,plain,
( $false
| spl3_5 ),
inference(resolution,[],[f307,f182]) ).
fof(f182,plain,
leq(n0,sK1),
inference(cnf_transformation,[],[f128]) ).
fof(f307,plain,
( ~ leq(n0,sK1)
| spl3_5 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f305,plain,
( spl3_5
<=> leq(n0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f320,plain,
( ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f303,f317,f313,f309,f305]) ).
fof(f303,plain,
( ~ leq(sK1,n4)
| ~ leq(n0,sK0)
| ~ leq(sK0,minus(pv10,n1))
| ~ leq(n0,sK1) ),
inference(resolution,[],[f255,f254]) ).
fof(f254,plain,
~ sQ2_eqProxy(init,a_select3(q_init,sK0,sK1)),
inference(equality_proxy_replacement,[],[f183,f242]) ).
fof(f242,plain,
! [X0,X1] :
( sQ2_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ2_eqProxy])]) ).
fof(f183,plain,
init != a_select3(q_init,sK0,sK1),
inference(cnf_transformation,[],[f128]) ).
fof(f255,plain,
! [X2,X3] :
( sQ2_eqProxy(init,a_select3(q_init,X2,X3))
| ~ leq(X3,n4)
| ~ leq(n0,X2)
| ~ leq(X2,minus(pv10,n1))
| ~ leq(n0,X3) ),
inference(equality_proxy_replacement,[],[f227,f242]) ).
fof(f227,plain,
! [X2,X3] :
( ~ leq(X2,minus(pv10,n1))
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| init = a_select3(q_init,X2,X3)
| ~ leq(X3,n4) ),
inference(definition_unfolding,[],[f177,f206]) ).
fof(f177,plain,
! [X2,X3] :
( ~ leq(X2,pred(pv10))
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| init = a_select3(q_init,X2,X3)
| ~ leq(X3,n4) ),
inference(cnf_transformation,[],[f128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV174+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 19:15:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (31835)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (31824)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)
% 0.20/0.52 % (31816)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52 % (31822)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)
% 0.20/0.52 % (31832)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)
% 0.20/0.52 % (31819)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)
% 0.20/0.52 % (31820)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)
% 0.20/0.53 % (31820)Instruction limit reached!
% 0.20/0.53 % (31820)------------------------------
% 0.20/0.53 % (31820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (31820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (31820)Termination reason: Unknown
% 0.20/0.53 % (31820)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (31820)Memory used [KB]: 6140
% 0.20/0.53 % (31820)Time elapsed: 0.110 s
% 0.20/0.53 % (31820)Instructions burned: 8 (million)
% 0.20/0.53 % (31820)------------------------------
% 0.20/0.53 % (31820)------------------------------
% 0.20/0.53 % (31828)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)
% 0.20/0.53 % (31809)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.54 % (31828)First to succeed.
% 0.20/0.54 % (31824)Instruction limit reached!
% 0.20/0.54 % (31824)------------------------------
% 0.20/0.54 % (31824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (31824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (31824)Termination reason: Unknown
% 0.20/0.54 % (31824)Termination phase: Function definition elimination
% 0.20/0.54
% 0.20/0.54 % (31824)Memory used [KB]: 1663
% 0.20/0.54 % (31824)Time elapsed: 0.005 s
% 0.20/0.54 % (31824)Instructions burned: 7 (million)
% 0.20/0.54 % (31824)------------------------------
% 0.20/0.54 % (31824)------------------------------
% 0.20/0.54 % (31823)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)
% 0.20/0.54 % (31811)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)
% 0.20/0.54 % (31811)Instruction limit reached!
% 0.20/0.54 % (31811)------------------------------
% 0.20/0.54 % (31811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (31811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (31811)Termination reason: Unknown
% 0.20/0.54 % (31811)Termination phase: Preprocessing 3
% 0.20/0.54
% 0.20/0.54 % (31811)Memory used [KB]: 1535
% 0.20/0.54 % (31811)Time elapsed: 0.003 s
% 0.20/0.54 % (31811)Instructions burned: 3 (million)
% 0.20/0.54 % (31811)------------------------------
% 0.20/0.54 % (31811)------------------------------
% 0.20/0.54 % (31810)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)
% 0.20/0.54 % (31823)Instruction limit reached!
% 0.20/0.54 % (31823)------------------------------
% 0.20/0.54 % (31823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (31823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (31823)Termination reason: Unknown
% 0.20/0.54 % (31823)Termination phase: Preprocessing 3
% 0.20/0.54
% 0.20/0.54 % (31823)Memory used [KB]: 1663
% 0.20/0.54 % (31823)Time elapsed: 0.003 s
% 0.20/0.54 % (31823)Instructions burned: 4 (million)
% 0.20/0.54 % (31823)------------------------------
% 0.20/0.54 % (31823)------------------------------
% 0.20/0.54 % (31814)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)
% 0.20/0.54 % (31813)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)
% 0.20/0.54 % (31812)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)
% 0.20/0.54 % (31828)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (31828)------------------------------
% 0.20/0.55 % (31828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (31828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (31828)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (31828)Memory used [KB]: 6140
% 0.20/0.55 % (31828)Time elapsed: 0.121 s
% 0.20/0.55 % (31828)Instructions burned: 6 (million)
% 0.20/0.55 % (31828)------------------------------
% 0.20/0.55 % (31828)------------------------------
% 0.20/0.55 % (31808)Success in time 0.181 s
%------------------------------------------------------------------------------