TSTP Solution File: SWV181+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV181+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 : n023.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 18:44:25 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 11 unt; 0 def)
% Number of atoms : 238 ( 54 equ)
% Maximal formula atoms : 26 ( 7 avg)
% Number of connectives : 289 ( 84 ~; 77 |; 90 &)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 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 : 80 ( 76 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f306,plain,
$false,
inference(subsumption_resolution,[],[f299,f182]) ).
fof(f182,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(f299,plain,
gt(succ(n0),succ(n0)),
inference(backward_demodulation,[],[f201,f297]) ).
fof(f297,plain,
loopcounter = succ(n0),
inference(subsumption_resolution,[],[f295,f182]) ).
fof(f295,plain,
( loopcounter = succ(n0)
| gt(succ(n0),succ(n0)) ),
inference(resolution,[],[f229,f227]) ).
fof(f227,plain,
! [X0] :
( ~ gt(loopcounter,X0)
| gt(succ(n0),X0) ),
inference(resolution,[],[f201,f183]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X2)
| gt(X1,X2) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1,X2] :
( gt(X1,X2)
| ~ gt(X1,X0)
| ~ gt(X0,X2) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
! [X1,X2,X0] :
( gt(X2,X0)
| ~ gt(X2,X1)
| ~ gt(X1,X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X2,X1] :
( gt(X2,X0)
| ~ gt(X1,X0)
| ~ gt(X2,X1) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X2,X1] :
( ( gt(X1,X0)
& gt(X2,X1) )
=> gt(X2,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] :
( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_gt) ).
fof(f229,plain,
( gt(loopcounter,succ(n0))
| loopcounter = succ(n0) ),
inference(resolution,[],[f202,f152]) ).
fof(f152,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| gt(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( X0 = X1
| gt(X0,X1)
| ~ leq(X1,X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X1,X0] :
( gt(X0,X1)
| ~ leq(X1,X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,plain,
! [X1,X0] :
( ( leq(X1,X0)
& X0 != X1 )
=> gt(X0,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt2) ).
fof(f202,plain,
leq(succ(n0),loopcounter),
inference(forward_demodulation,[],[f163,f133]) ).
fof(f133,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f163,plain,
leq(n1,loopcounter),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ( ! [X0] :
( ~ leq(n0,X0)
| init = a_select2(mu_init,X0)
| ~ leq(X0,n4) )
| ~ gt(loopcounter,n0) )
& leq(n1,loopcounter)
& ( ~ gt(loopcounter,n0)
| ! [X1] :
( ~ leq(X1,n4)
| ~ leq(n0,X1)
| init = a_select2(rho_init,X1) ) )
& leq(tptp_float_0_001,pv76)
& gt(n1,loopcounter)
& leq(n0,sK0)
& leq(sK0,n4)
& init != a_select2(muold_init,sK0)
& ! [X3] :
( ~ leq(n0,X3)
| ~ leq(X3,n135299)
| ! [X4] :
( init = a_select3(q_init,X3,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n4) ) )
& ! [X5] :
( ~ leq(n0,X5)
| init = a_select3(center_init,X5,n0)
| ~ leq(X5,n4) )
& ( ! [X6] :
( ~ leq(X6,n4)
| ~ leq(n0,X6)
| init = a_select2(sigma_init,X6) )
| ~ gt(loopcounter,n0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f128,f129]) ).
fof(f129,plain,
( ? [X2] :
( leq(n0,X2)
& leq(X2,n4)
& init != a_select2(muold_init,X2) )
=> ( leq(n0,sK0)
& leq(sK0,n4)
& init != a_select2(muold_init,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
( ( ! [X0] :
( ~ leq(n0,X0)
| init = a_select2(mu_init,X0)
| ~ leq(X0,n4) )
| ~ gt(loopcounter,n0) )
& leq(n1,loopcounter)
& ( ~ gt(loopcounter,n0)
| ! [X1] :
( ~ leq(X1,n4)
| ~ leq(n0,X1)
| init = a_select2(rho_init,X1) ) )
& leq(tptp_float_0_001,pv76)
& gt(n1,loopcounter)
& ? [X2] :
( leq(n0,X2)
& leq(X2,n4)
& init != a_select2(muold_init,X2) )
& ! [X3] :
( ~ leq(n0,X3)
| ~ leq(X3,n135299)
| ! [X4] :
( init = a_select3(q_init,X3,X4)
| ~ leq(n0,X4)
| ~ leq(X4,n4) ) )
& ! [X5] :
( ~ leq(n0,X5)
| init = a_select3(center_init,X5,n0)
| ~ leq(X5,n4) )
& ( ! [X6] :
( ~ leq(X6,n4)
| ~ leq(n0,X6)
| init = a_select2(sigma_init,X6) )
| ~ gt(loopcounter,n0) ) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
( ( ! [X5] :
( ~ leq(n0,X5)
| init = a_select2(mu_init,X5)
| ~ leq(X5,n4) )
| ~ gt(loopcounter,n0) )
& leq(n1,loopcounter)
& ( ~ gt(loopcounter,n0)
| ! [X2] :
( ~ leq(X2,n4)
| ~ leq(n0,X2)
| init = a_select2(rho_init,X2) ) )
& leq(tptp_float_0_001,pv76)
& gt(n1,loopcounter)
& ? [X6] :
( leq(n0,X6)
& leq(X6,n4)
& init != a_select2(muold_init,X6) )
& ! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n135299)
| ! [X1] :
( init = a_select3(q_init,X0,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) ) )
& ! [X3] :
( ~ leq(n0,X3)
| init = a_select3(center_init,X3,n0)
| ~ leq(X3,n4) )
& ( ! [X4] :
( ~ leq(X4,n4)
| ~ leq(n0,X4)
| init = a_select2(sigma_init,X4) )
| ~ gt(loopcounter,n0) ) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
( ? [X6] :
( init != a_select2(muold_init,X6)
& leq(X6,n4)
& leq(n0,X6) )
& ( ! [X5] :
( init = a_select2(mu_init,X5)
| ~ leq(n0,X5)
| ~ leq(X5,n4) )
| ~ gt(loopcounter,n0) )
& leq(tptp_float_0_001,pv76)
& ( ! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n0) )
& leq(n1,loopcounter)
& ! [X0] :
( ! [X1] :
( init = a_select3(q_init,X0,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
| ~ leq(X0,n135299)
| ~ leq(n0,X0) )
& ! [X3] :
( init = a_select3(center_init,X3,n0)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& gt(n1,loopcounter)
& ( ! [X4] :
( init = a_select2(sigma_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
| ~ gt(loopcounter,n0) ) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ( gt(loopcounter,n0)
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> init = a_select2(mu_init,X5) ) )
& leq(tptp_float_0_001,pv76)
& ( gt(loopcounter,n0)
=> ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select2(rho_init,X2) ) )
& leq(n1,loopcounter)
& ! [X0] :
( ( leq(X0,n135299)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> init = a_select3(q_init,X0,X1) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& gt(n1,loopcounter)
& ( gt(loopcounter,n0)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(sigma_init,X4) ) ) )
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select2(muold_init,X6) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n4) )
=> a_select3(q_init,X13,X17) = init ) )
& ( gt(loopcounter,n0)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rho_init,X20) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& leq(tptp_float_0_001,pv76)
& leq(n1,loopcounter)
& ( gt(loopcounter,n0)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(sigma_init,X21) ) )
& gt(n1,loopcounter)
& ( gt(loopcounter,n0)
=> ! [X19] :
( ( leq(n0,X19)
& leq(X19,n4) )
=> init = a_select2(mu_init,X19) ) ) )
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n4) )
=> a_select3(q_init,X13,X17) = init ) )
& ( gt(loopcounter,n0)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rho_init,X20) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& leq(tptp_float_0_001,pv76)
& leq(n1,loopcounter)
& ( gt(loopcounter,n0)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(sigma_init,X21) ) )
& gt(n1,loopcounter)
& ( gt(loopcounter,n0)
=> ! [X19] :
( ( leq(n0,X19)
& leq(X19,n4) )
=> init = a_select2(mu_init,X19) ) ) )
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0081) ).
fof(f201,plain,
gt(succ(n0),loopcounter),
inference(forward_demodulation,[],[f160,f133]) ).
fof(f160,plain,
gt(n1,loopcounter),
inference(cnf_transformation,[],[f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SWV181+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.09/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 19:28:05 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (32540)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)
% 0.19/0.49 % (32541)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)
% 0.19/0.50 % (32540)First to succeed.
% 0.19/0.50 % (32560)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)
% 0.19/0.50 % (32536)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)
% 0.19/0.50 % (32544)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)
% 0.19/0.50 % (32565)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)
% 0.19/0.50 % (32539)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)
% 0.19/0.50 % (32551)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)
% 0.19/0.50 % (32548)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)
% 0.19/0.51 % (32558)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 % (32536)Instruction limit reached!
% 0.19/0.51 % (32536)------------------------------
% 0.19/0.51 % (32536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (32552)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (32535)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51 % (32552)Instruction limit reached!
% 0.19/0.51 % (32552)------------------------------
% 0.19/0.51 % (32552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (32536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (32536)Termination reason: Unknown
% 0.19/0.51 % (32536)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (32536)Memory used [KB]: 1791
% 0.19/0.51 % (32536)Time elapsed: 0.008 s
% 0.19/0.51 % (32536)Instructions burned: 14 (million)
% 0.19/0.51 % (32536)------------------------------
% 0.19/0.51 % (32536)------------------------------
% 0.19/0.51 % (32552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (32552)Termination reason: Unknown
% 0.19/0.51 % (32552)Termination phase: Clausification
% 0.19/0.51
% 0.19/0.51 % (32552)Memory used [KB]: 1663
% 0.19/0.51 % (32552)Time elapsed: 0.004 s
% 0.19/0.51 % (32552)Instructions burned: 5 (million)
% 0.19/0.51 % (32552)------------------------------
% 0.19/0.51 % (32552)------------------------------
% 0.19/0.51 % (32559)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)
% 0.19/0.52 % (32550)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)
% 0.19/0.52 % (32537)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 % (32538)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)
% 0.19/0.52 % (32537)Instruction limit reached!
% 0.19/0.52 % (32537)------------------------------
% 0.19/0.52 % (32537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (32537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (32537)Termination reason: Unknown
% 0.19/0.52 % (32537)Termination phase: Preprocessing 3
% 0.19/0.52
% 0.19/0.52 % (32537)Memory used [KB]: 1663
% 0.19/0.52 % (32537)Time elapsed: 0.003 s
% 0.19/0.52 % (32537)Instructions burned: 5 (million)
% 0.19/0.52 % (32537)------------------------------
% 0.19/0.52 % (32537)------------------------------
% 0.19/0.52 % (32544)Also succeeded, but the first one will report.
% 0.19/0.52 % (32550)Instruction limit reached!
% 0.19/0.52 % (32550)------------------------------
% 0.19/0.52 % (32550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (32550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (32550)Termination reason: Unknown
% 0.19/0.52 % (32550)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (32550)Memory used [KB]: 1663
% 0.19/0.52 % (32550)Time elapsed: 0.006 s
% 0.19/0.52 % (32550)Instructions burned: 8 (million)
% 0.19/0.52 % (32550)------------------------------
% 0.19/0.52 % (32550)------------------------------
% 0.19/0.52 % (32540)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (32540)------------------------------
% 0.19/0.52 % (32540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (32540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (32540)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (32540)Memory used [KB]: 1663
% 0.19/0.52 % (32540)Time elapsed: 0.100 s
% 0.19/0.52 % (32540)Instructions burned: 10 (million)
% 0.19/0.52 % (32540)------------------------------
% 0.19/0.52 % (32540)------------------------------
% 0.19/0.52 % (32531)Success in time 0.177 s
%------------------------------------------------------------------------------