TSTP Solution File: NUM835+2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM835+2 : TPTP v8.1.0. Released v4.1.0.
% 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 : n003.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 18:02:30 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 68 ( 54 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 74 ( 26 ~; 30 |; 14 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 51 ( 33 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f138,plain,
$false,
inference(subsumption_resolution,[],[f130,f99]) ).
fof(f99,plain,
! [X0] : vd151 != vplus(vd165,X0),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( vd165 != vd151
& ! [X0] : vd151 != vplus(vd165,X0)
& ! [X1] : vd165 != vplus(vd151,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
~ ( ? [X1] : vd165 = vplus(vd151,X1)
| ? [X0] : vd151 = vplus(vd165,X0)
| vd165 = vd151 ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ? [X1] : vd151 = vplus(vd165,X1)
| vd165 = vd151
| ? [X0] : vd165 = vplus(vd151,X0) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ? [X1] : vd151 = vplus(vd165,X1)
| vd165 = vd151
| ? [X0] : vd165 = vplus(vd151,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dis(case_distinction(conseq(110)))') ).
fof(f130,plain,
vd151 = vplus(vd165,sK0(vd165,vd151)),
inference(unit_resulting_resolution,[],[f127,f100,f98,f92]) ).
fof(f92,plain,
! [X0,X1] :
( X0 = X1
| ~ m(X0)
| vplus(X1,sK1(X0,X1)) = X0
| vplus(X0,sK0(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( vplus(X0,sK0(X0,X1)) = X1
| X0 = X1
| vplus(X1,sK1(X0,X1)) = X0
| ~ m(X0) )
& ( m(X0)
| ( ! [X4] : vplus(X0,X4) != X1
& X0 != X1
& ! [X5] : vplus(X1,X5) != X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f73,f75,f74]) ).
fof(f74,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
=> vplus(X0,sK0(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1] :
( ? [X3] : vplus(X1,X3) = X0
=> vplus(X1,sK1(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0,X1] :
( ( ? [X2] : vplus(X0,X2) = X1
| X0 = X1
| ? [X3] : vplus(X1,X3) = X0
| ~ m(X0) )
& ( m(X0)
| ( ! [X4] : vplus(X0,X4) != X1
& X0 != X1
& ! [X5] : vplus(X1,X5) != X0 ) ) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X1,X0] :
( ( ? [X2] : vplus(X1,X2) = X0
| X0 = X1
| ? [X3] : vplus(X0,X3) = X1
| ~ m(X1) )
& ( m(X1)
| ( ! [X2] : vplus(X1,X2) != X0
& X0 != X1
& ! [X3] : vplus(X0,X3) != X1 ) ) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X1,X0] :
( ( ? [X2] : vplus(X1,X2) = X0
| X0 = X1
| ? [X3] : vplus(X0,X3) = X1
| ~ m(X1) )
& ( m(X1)
| ( ! [X2] : vplus(X1,X2) != X0
& X0 != X1
& ! [X3] : vplus(X0,X3) != X1 ) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( ( ? [X2] : vplus(X1,X2) = X0
| X0 = X1
| ? [X3] : vplus(X0,X3) = X1 )
<=> m(X1) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X2,X3] :
( ( ? [X4] : vplus(X3,X4) = X2
| ? [X5] : vplus(X2,X5) = X3
| X2 = X3 )
<=> m(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(105), 0), 1)') ).
fof(f98,plain,
! [X1] : vd165 != vplus(vd151,X1),
inference(cnf_transformation,[],[f67]) ).
fof(f100,plain,
vd165 != vd151,
inference(cnf_transformation,[],[f67]) ).
fof(f127,plain,
! [X1] : m(X1),
inference(equality_resolution,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( m(X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM835+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n003.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 09:00:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (5400)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 % (5417)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)
% 0.20/0.52 % (5409)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)
% 0.20/0.52 % (5395)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)
% 0.20/0.53 % (5396)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)
% 0.20/0.53 % (5418)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)
% 0.20/0.53 % (5404)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 % (5395)Instruction limit reached!
% 0.20/0.53 % (5395)------------------------------
% 0.20/0.53 % (5395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5395)Termination reason: Unknown
% 0.20/0.53 % (5395)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (5395)Memory used [KB]: 6012
% 0.20/0.53 % (5395)Time elapsed: 0.127 s
% 0.20/0.53 % (5395)Instructions burned: 4 (million)
% 0.20/0.53 % (5395)------------------------------
% 0.20/0.53 % (5395)------------------------------
% 0.20/0.53 % (5420)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)
% 0.20/0.53 % (5394)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)
% 0.20/0.53 % (5404)Instruction limit reached!
% 0.20/0.53 % (5404)------------------------------
% 0.20/0.53 % (5404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5404)Termination reason: Unknown
% 0.20/0.53 % (5404)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (5404)Memory used [KB]: 6140
% 0.20/0.53 % (5404)Time elapsed: 0.114 s
% 0.20/0.53 % (5404)Instructions burned: 8 (million)
% 0.20/0.53 % (5404)------------------------------
% 0.20/0.53 % (5404)------------------------------
% 0.20/0.53 % (5401)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)
% 0.20/0.53 % (5405)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)
% 0.20/0.53 % (5415)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)
% 0.20/0.53 % (5402)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)
% 0.20/0.53 % (5405)Refutation not found, incomplete strategy% (5405)------------------------------
% 0.20/0.53 % (5405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5405)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (5405)Memory used [KB]: 1535
% 0.20/0.53 % (5405)Time elapsed: 0.129 s
% 0.20/0.53 % (5405)Instructions burned: 2 (million)
% 0.20/0.53 % (5405)------------------------------
% 0.20/0.53 % (5405)------------------------------
% 0.20/0.53 % (5410)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (5397)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 % (5400)First to succeed.
% 0.20/0.54 % (5398)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 % (5412)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)
% 0.20/0.54 % (5400)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
% 0.20/0.54 % (5400)------------------------------
% 0.20/0.54 % (5400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (5400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (5400)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (5400)Memory used [KB]: 6012
% 0.20/0.54 % (5400)Time elapsed: 0.126 s
% 0.20/0.54 % (5400)Instructions burned: 3 (million)
% 0.20/0.54 % (5400)------------------------------
% 0.20/0.54 % (5400)------------------------------
% 0.20/0.54 % (5392)Success in time 0.182 s
%------------------------------------------------------------------------------