TSTP Solution File: SWV161+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV161+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 : n013.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 18:44:22 EDT 2022
% Result : Theorem 1.43s 0.54s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 15 unt; 0 def)
% Number of atoms : 118 ( 38 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 117 ( 34 ~; 22 |; 47 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 42 ( 38 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f373,plain,
$false,
inference(subsumption_resolution,[],[f345,f170]) ).
fof(f170,plain,
n1 = sum(n0,n4,a_select3(q,pv10,tptp_sum_index)),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( leq(pv10,n135299)
& n1 = sum(n0,n4,a_select3(q,pv10,tptp_sum_index))
& leq(n0,pv10)
& leq(n0,sK0)
& leq(sK0,pv10)
& n1 != sum(n0,n4,a_select3(q,sK0,tptp_sum_index))
& ! [X1] :
( ~ leq(n0,X1)
| n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
| ~ leq(X1,pred(pv10)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f129,f130]) ).
fof(f130,plain,
( ? [X0] :
( leq(n0,X0)
& leq(X0,pv10)
& n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index)) )
=> ( leq(n0,sK0)
& leq(sK0,pv10)
& n1 != sum(n0,n4,a_select3(q,sK0,tptp_sum_index)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( leq(pv10,n135299)
& n1 = sum(n0,n4,a_select3(q,pv10,tptp_sum_index))
& leq(n0,pv10)
& ? [X0] :
( leq(n0,X0)
& leq(X0,pv10)
& n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index)) )
& ! [X1] :
( ~ leq(n0,X1)
| n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
| ~ leq(X1,pred(pv10)) ) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
( leq(pv10,n135299)
& n1 = sum(n0,n4,a_select3(q,pv10,tptp_sum_index))
& leq(n0,pv10)
& ? [X1] :
( leq(n0,X1)
& leq(X1,pv10)
& n1 != sum(n0,n4,a_select3(q,X1,tptp_sum_index)) )
& ! [X0] :
( ~ leq(n0,X0)
| n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index))
| ~ leq(X0,pred(pv10)) ) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
( ? [X1] :
( n1 != sum(n0,n4,a_select3(q,X1,tptp_sum_index))
& leq(X1,pv10)
& leq(n0,X1) )
& leq(pv10,n135299)
& leq(n0,pv10)
& ! [X0] :
( n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index))
| ~ leq(X0,pred(pv10))
| ~ leq(n0,X0) )
& n1 = sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( leq(pv10,n135299)
& leq(n0,pv10)
& ! [X0] :
( ( leq(X0,pred(pv10))
& leq(n0,X0) )
=> n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index)) )
& n1 = sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) )
=> ! [X1] :
( ( leq(X1,pv10)
& leq(n0,X1) )
=> n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index)) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( n1 = sum(n0,n4,a_select3(q,pv10,tptp_sum_index))
& leq(pv10,n135299)
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,pred(pv10)) )
=> n1 = sum(n0,n4,a_select3(q,X13,tptp_sum_index)) )
& leq(n0,pv10) )
=> ! [X17] :
( ( leq(X17,pv10)
& leq(n0,X17) )
=> n1 = sum(n0,n4,a_select3(q,X17,tptp_sum_index)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( n1 = sum(n0,n4,a_select3(q,pv10,tptp_sum_index))
& leq(pv10,n135299)
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,pred(pv10)) )
=> n1 = sum(n0,n4,a_select3(q,X13,tptp_sum_index)) )
& leq(n0,pv10) )
=> ! [X17] :
( ( leq(X17,pv10)
& leq(n0,X17) )
=> n1 = sum(n0,n4,a_select3(q,X17,tptp_sum_index)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0011) ).
fof(f345,plain,
n1 != sum(n0,n4,a_select3(q,pv10,tptp_sum_index)),
inference(backward_demodulation,[],[f166,f340]) ).
fof(f340,plain,
pv10 = sK0,
inference(unit_resulting_resolution,[],[f167,f336,f200]) ).
fof(f200,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| gt(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( X0 = X1
| gt(X0,X1)
| ~ leq(X1,X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( gt(X0,X1)
| X0 = X1
| ~ leq(X1,X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ( X0 != X1
& leq(X1,X0) )
=> gt(X0,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( ( leq(X0,X1)
& X0 != X1 )
=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt2) ).
fof(f336,plain,
~ gt(pv10,sK0),
inference(forward_demodulation,[],[f330,f227]) ).
fof(f227,plain,
! [X0] : plus(pred(X0),n1) = X0,
inference(definition_unfolding,[],[f187,f159]) ).
fof(f159,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(f187,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_pred) ).
fof(f330,plain,
~ gt(plus(pred(pv10),n1),sK0),
inference(unit_resulting_resolution,[],[f326,f229]) ).
fof(f229,plain,
! [X0,X1] :
( ~ gt(plus(X1,n1),X0)
| leq(X0,X1) ),
inference(definition_unfolding,[],[f188,f159]) ).
fof(f188,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ( gt(succ(X1),X0)
| ~ leq(X0,X1) )
& ( leq(X0,X1)
| ~ gt(succ(X1),X0) ) ),
inference(rectify,[],[f133]) ).
fof(f133,plain,
! [X1,X0] :
( ( gt(succ(X0),X1)
| ~ leq(X1,X0) )
& ( leq(X1,X0)
| ~ gt(succ(X0),X1) ) ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X1,X0] :
( gt(succ(X0),X1)
<=> leq(X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( gt(succ(X1),X0)
<=> leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f326,plain,
~ leq(sK0,pred(pv10)),
inference(unit_resulting_resolution,[],[f168,f166,f165]) ).
fof(f165,plain,
! [X1] :
( ~ leq(X1,pred(pv10))
| n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
| ~ leq(n0,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f168,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f131]) ).
fof(f167,plain,
leq(sK0,pv10),
inference(cnf_transformation,[],[f131]) ).
fof(f166,plain,
n1 != sum(n0,n4,a_select3(q,sK0,tptp_sum_index)),
inference(cnf_transformation,[],[f131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV161+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 19:01:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (20850)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)
% 0.19/0.51 % (20853)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)
% 0.19/0.51 % (20855)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)
% 0.19/0.51 % (20865)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)
% 0.19/0.51 % (20844)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)
% 0.19/0.52 % (20857)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)
% 1.28/0.52 % (20857)Instruction limit reached!
% 1.28/0.52 % (20857)------------------------------
% 1.28/0.52 % (20857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (20857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (20857)Termination reason: Unknown
% 1.28/0.52 % (20857)Termination phase: Preprocessing 3
% 1.28/0.52
% 1.28/0.52 % (20857)Memory used [KB]: 1535
% 1.28/0.52 % (20857)Time elapsed: 0.004 s
% 1.28/0.52 % (20857)Instructions burned: 3 (million)
% 1.28/0.52 % (20857)------------------------------
% 1.28/0.52 % (20857)------------------------------
% 1.28/0.52 % (20866)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)
% 1.28/0.52 % (20849)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)
% 1.28/0.53 % (20860)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.28/0.53 % (20860)Instruction limit reached!
% 1.28/0.53 % (20860)------------------------------
% 1.28/0.53 % (20860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (20860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (20860)Termination reason: Unknown
% 1.28/0.53 % (20860)Termination phase: Preprocessing 3
% 1.28/0.53
% 1.28/0.53 % (20860)Memory used [KB]: 1535
% 1.28/0.53 % (20860)Time elapsed: 0.003 s
% 1.28/0.53 % (20860)Instructions burned: 3 (million)
% 1.28/0.53 % (20860)------------------------------
% 1.28/0.53 % (20860)------------------------------
% 1.28/0.53 % (20845)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)
% 1.28/0.53 % (20847)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)
% 1.28/0.53 % (20848)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)
% 1.28/0.53 % (20846)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)
% 1.28/0.53 % (20858)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)
% 1.28/0.53 % (20844)Instruction limit reached!
% 1.28/0.53 % (20844)------------------------------
% 1.28/0.53 % (20844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (20852)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)
% 1.28/0.53 % (20853)Instruction limit reached!
% 1.28/0.53 % (20853)------------------------------
% 1.28/0.53 % (20853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (20856)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)
% 1.28/0.53 % (20854)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)
% 1.28/0.53 % (20845)Instruction limit reached!
% 1.28/0.53 % (20845)------------------------------
% 1.28/0.53 % (20845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (20845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (20845)Termination reason: Unknown
% 1.28/0.53 % (20845)Termination phase: Preprocessing 3
% 1.28/0.53
% 1.28/0.53 % (20845)Memory used [KB]: 1535
% 1.28/0.53 % (20845)Time elapsed: 0.004 s
% 1.28/0.53 % (20845)Instructions burned: 4 (million)
% 1.28/0.53 % (20845)------------------------------
% 1.28/0.53 % (20845)------------------------------
% 1.28/0.54 % (20855)Instruction limit reached!
% 1.28/0.54 % (20855)------------------------------
% 1.28/0.54 % (20855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.54 % (20858)Instruction limit reached!
% 1.28/0.54 % (20858)------------------------------
% 1.28/0.54 % (20858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.54 % (20867)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)
% 1.43/0.54 % (20854)Instruction limit reached!
% 1.43/0.54 % (20854)------------------------------
% 1.43/0.54 % (20854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54 % (20854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54 % (20854)Termination reason: Unknown
% 1.43/0.54 % (20854)Termination phase: Saturation
% 1.43/0.54
% 1.43/0.54 % (20852)First to succeed.
% 1.43/0.54 % (20854)Memory used [KB]: 6140
% 1.43/0.54 % (20854)Time elapsed: 0.131 s
% 1.43/0.54 % (20854)Instructions burned: 8 (million)
% 1.43/0.54 % (20854)------------------------------
% 1.43/0.54 % (20854)------------------------------
% 1.43/0.54 % (20844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54 % (20852)Refutation found. Thanks to Tanya!
% 1.43/0.54 % SZS status Theorem for theBenchmark
% 1.43/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.54 % (20852)------------------------------
% 1.43/0.54 % (20852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54 % (20852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54 % (20852)Termination reason: Refutation
% 1.43/0.54
% 1.43/0.54 % (20852)Memory used [KB]: 6140
% 1.43/0.54 % (20852)Time elapsed: 0.137 s
% 1.43/0.54 % (20852)Instructions burned: 8 (million)
% 1.43/0.54 % (20852)------------------------------
% 1.43/0.54 % (20852)------------------------------
% 1.43/0.54 % (20842)Success in time 0.187 s
%------------------------------------------------------------------------------