TSTP Solution File: SWV163+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV163+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 18:44:22 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 13 unt; 0 def)
% Number of atoms : 104 ( 21 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 103 ( 30 ~; 20 |; 40 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-3 aty)
% Number of variables : 43 ( 39 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f298,plain,
$false,
inference(subsumption_resolution,[],[f297,f202]) ).
fof(f202,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(f297,plain,
gt(n0,n0),
inference(forward_demodulation,[],[f292,f236]) ).
fof(f236,plain,
n0 = plus(n1,tptp_minus_1),
inference(definition_unfolding,[],[f156,f182]) ).
fof(f182,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f156,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(f292,plain,
gt(plus(n1,tptp_minus_1),n0),
inference(unit_resulting_resolution,[],[f277,f244]) ).
fof(f244,plain,
! [X0,X1] :
( gt(plus(n1,X0),X1)
| ~ leq(X1,X0) ),
inference(definition_unfolding,[],[f175,f182]) ).
fof(f175,plain,
! [X0,X1] :
( gt(succ(X0),X1)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( ( gt(succ(X0),X1)
| ~ leq(X1,X0) )
& ( leq(X1,X0)
| ~ gt(succ(X0),X1) ) ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
! [X1,X0] :
( ( gt(succ(X1),X0)
| ~ leq(X0,X1) )
& ( leq(X0,X1)
| ~ gt(succ(X1),X0) ) ),
inference(nnf_transformation,[],[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(f277,plain,
leq(n0,tptp_minus_1),
inference(unit_resulting_resolution,[],[f191,f192,f234]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ leq(X2,X0)
| ~ leq(X1,X2)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2] :
( leq(X1,X0)
| ~ leq(X1,X2)
| ~ leq(X2,X0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X1,X0,X2] :
( leq(X1,X0)
| ~ leq(X2,X0)
| ~ leq(X1,X2) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
! [X1,X0,X2] :
( ( leq(X2,X0)
& leq(X1,X2) )
=> leq(X1,X0) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_leq) ).
fof(f192,plain,
leq(sK0,tptp_minus_1),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( leq(pv10,n135299)
& leq(sK0,tptp_minus_1)
& leq(n0,sK0)
& divide(sqrt(times(minus(a_select3(center,sK0,n0),a_select2(x,pv10)),minus(a_select3(center,sK0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,sK0)
& ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,pred(pv10))
| n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index)) )
& leq(n0,pv10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f142,f143]) ).
fof(f143,plain,
( ? [X0] :
( leq(X0,tptp_minus_1)
& leq(n0,X0)
& a_select3(q,pv10,X0) != divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
=> ( leq(sK0,tptp_minus_1)
& leq(n0,sK0)
& divide(sqrt(times(minus(a_select3(center,sK0,n0),a_select2(x,pv10)),minus(a_select3(center,sK0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( leq(pv10,n135299)
& ? [X0] :
( leq(X0,tptp_minus_1)
& leq(n0,X0)
& a_select3(q,pv10,X0) != divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
& ! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,pred(pv10))
| n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index)) )
& leq(n0,pv10) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
( leq(pv10,n135299)
& ? [X1] :
( leq(X1,tptp_minus_1)
& leq(n0,X1)
& divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,X1) )
& ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,pred(pv10))
| n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index)) )
& leq(n0,pv10) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
( ? [X1] :
( divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,X1)
& leq(X1,tptp_minus_1)
& leq(n0,X1) )
& leq(pv10,n135299)
& ! [X0] :
( n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index))
| ~ leq(X0,pred(pv10))
| ~ leq(n0,X0) )
& leq(n0,pv10) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( leq(pv10,n135299)
& ! [X0] :
( ( leq(X0,pred(pv10))
& leq(n0,X0) )
=> n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index)) )
& leq(n0,pv10) )
=> ! [X1] :
( ( leq(X1,tptp_minus_1)
& leq(n0,X1) )
=> divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) = a_select3(q,pv10,X1) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X13] :
( ( leq(n0,X13)
& leq(X13,pred(pv10)) )
=> n1 = sum(n0,n4,a_select3(q,X13,tptp_sum_index)) )
& leq(n0,pv10)
& leq(pv10,n135299) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,tptp_minus_1) )
=> a_select3(q,pv10,X17) = divide(sqrt(times(minus(a_select3(center,X17,n0),a_select2(x,pv10)),minus(a_select3(center,X17,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X13] :
( ( leq(n0,X13)
& leq(X13,pred(pv10)) )
=> n1 = sum(n0,n4,a_select3(q,X13,tptp_sum_index)) )
& leq(n0,pv10)
& leq(pv10,n135299) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,tptp_minus_1) )
=> a_select3(q,pv10,X17) = divide(sqrt(times(minus(a_select3(center,X17,n0),a_select2(x,pv10)),minus(a_select3(center,X17,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0013) ).
fof(f191,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV163+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
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 19:06:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (30259)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)
% 0.19/0.50 % (30256)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 % (30272)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)
% 0.19/0.51 % (30267)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)
% 0.19/0.51 % (30249)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)
% 0.19/0.51 % (30254)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)
% 0.19/0.52 % (30248)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)
% 0.19/0.52 % (30248)Instruction limit reached!
% 0.19/0.52 % (30248)------------------------------
% 0.19/0.52 % (30248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (30248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (30248)Termination reason: Unknown
% 0.19/0.52 % (30248)Termination phase: Preprocessing 3
% 0.19/0.52
% 0.19/0.52 % (30248)Memory used [KB]: 1535
% 0.19/0.52 % (30248)Time elapsed: 0.003 s
% 0.19/0.52 % (30248)Instructions burned: 3 (million)
% 0.19/0.52 % (30248)------------------------------
% 0.19/0.52 % (30248)------------------------------
% 0.19/0.52 % (30253)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)
% 0.19/0.52 % (30256)Instruction limit reached!
% 0.19/0.52 % (30256)------------------------------
% 0.19/0.52 % (30256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (30256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (30256)Termination reason: Unknown
% 0.19/0.52 % (30256)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (30256)Memory used [KB]: 6140
% 0.19/0.52 % (30256)Time elapsed: 0.105 s
% 0.19/0.52 % (30256)Instructions burned: 12 (million)
% 0.19/0.52 % (30256)------------------------------
% 0.19/0.52 % (30256)------------------------------
% 0.19/0.52 % (30273)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)
% 0.19/0.52 % (30249)Refutation not found, incomplete strategy% (30249)------------------------------
% 0.19/0.52 % (30249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (30250)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)
% 0.19/0.52 % (30246)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (30255)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)
% 0.19/0.53 % (30268)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)
% 0.19/0.53 % (30251)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)
% 0.19/0.53 % (30249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (30249)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (30249)Memory used [KB]: 6140
% 0.19/0.53 % (30249)Time elapsed: 0.122 s
% 0.19/0.53 % (30249)Instructions burned: 7 (million)
% 0.19/0.53 % (30249)------------------------------
% 0.19/0.53 % (30249)------------------------------
% 0.19/0.53 % (30250)Instruction limit reached!
% 0.19/0.53 % (30250)------------------------------
% 0.19/0.53 % (30250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (30250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (30250)Termination reason: Unknown
% 0.19/0.53 % (30250)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (30250)Memory used [KB]: 6268
% 0.19/0.53 % (30250)Time elapsed: 0.129 s
% 0.19/0.53 % (30250)Instructions burned: 14 (million)
% 0.19/0.53 % (30250)------------------------------
% 0.19/0.53 % (30250)------------------------------
% 0.19/0.53 % (30247)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)
% 0.19/0.53 % (30269)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)
% 0.19/0.53 % (30265)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)
% 0.19/0.53 % (30275)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.53 % (30247)Instruction limit reached!
% 0.19/0.53 % (30247)------------------------------
% 0.19/0.53 % (30247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (30255)First to succeed.
% 0.19/0.53 % (30270)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)
% 0.19/0.53 % (30266)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)
% 0.19/0.54 % (30252)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)
% 0.19/0.54 % (30262)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)
% 0.19/0.54 % (30271)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)
% 0.19/0.54 % (30255)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (30255)------------------------------
% 0.19/0.54 % (30255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (30255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (30255)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (30255)Memory used [KB]: 6140
% 0.19/0.54 % (30255)Time elapsed: 0.131 s
% 0.19/0.54 % (30255)Instructions burned: 7 (million)
% 0.19/0.54 % (30255)------------------------------
% 0.19/0.54 % (30255)------------------------------
% 0.19/0.54 % (30245)Success in time 0.192 s
%------------------------------------------------------------------------------