TSTP Solution File: NUM850+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM850+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 : n027.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 18:02:35 EDT 2022
% Result : Theorem 1.23s 0.52s
% Output : Refutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 30 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 13 ~; 8 |; 3 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 20 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f163,plain,
$false,
inference(subsumption_resolution,[],[f162,f113]) ).
fof(f113,plain,
greater(vd470,vd471),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
greater(vd470,vd471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(antec(302), 472, 0)') ).
fof(f162,plain,
~ greater(vd470,vd471),
inference(equality_resolution,[],[f151]) ).
fof(f151,plain,
! [X0] :
( vd470 != X0
| ~ greater(X0,vd471) ),
inference(superposition,[],[f98,f102]) ).
fof(f102,plain,
! [X0,X1] :
( vplus(X1,sK0(X0,X1)) = X0
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ( vplus(X1,sK0(X0,X1)) = X0
| ~ greater(X0,X1) )
& ( greater(X0,X1)
| ! [X3] : vplus(X1,X3) != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f81,f82]) ).
fof(f82,plain,
! [X0,X1] :
( ? [X2] : vplus(X1,X2) = X0
=> vplus(X1,sK0(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0,X1] :
( ( ? [X2] : vplus(X1,X2) = X0
| ~ greater(X0,X1) )
& ( greater(X0,X1)
| ! [X3] : vplus(X1,X3) != X0 ) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( ? [X2] : vplus(X1,X2) = X0
| ~ greater(X0,X1) )
& ( greater(X0,X1)
| ! [X2] : vplus(X1,X2) != X0 ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ? [X2] : vplus(X1,X2) = X0
<=> greater(X0,X1) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X64,X63] :
( greater(X64,X63)
<=> ? [X65] : vplus(X63,X65) = X64 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof(f98,plain,
! [X0] : vd470 != vplus(vd471,X0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] : vd470 != vplus(vd471,X0),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0] : vd470 = vplus(vd471,X0),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0] : vd470 = vplus(vd471,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(conseq_conjunct1(conseq(302)))') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM850+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
% 0.13/0.34 % Computer : n027.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 09:19:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (6773)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)
% 0.20/0.50 % (6769)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.50 % (6777)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)
% 0.20/0.50 % (6777)First to succeed.
% 0.20/0.50 % (6790)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)
% 0.20/0.51 % (6781)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)
% 0.20/0.51 % (6787)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)
% 0.20/0.51 % (6793)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)
% 0.20/0.51 % (6799)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)
% 0.20/0.51 % (6780)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)
% 1.23/0.51 % (6775)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)
% 1.23/0.51 % (6781)Instruction limit reached!
% 1.23/0.51 % (6781)------------------------------
% 1.23/0.51 % (6781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.51 % (6796)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)
% 1.23/0.52 % (6782)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)
% 1.23/0.52 % (6789)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.23/0.52 % (6779)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)
% 1.23/0.52 % (6772)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)
% 1.23/0.52 % (6772)Instruction limit reached!
% 1.23/0.52 % (6772)------------------------------
% 1.23/0.52 % (6772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.52 % (6772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.52 % (6772)Termination reason: Unknown
% 1.23/0.52 % (6772)Termination phase: Function definition elimination
% 1.23/0.52
% 1.23/0.52 % (6772)Memory used [KB]: 1535
% 1.23/0.52 % (6772)Time elapsed: 0.003 s
% 1.23/0.52 % (6772)Instructions burned: 3 (million)
% 1.23/0.52 % (6772)------------------------------
% 1.23/0.52 % (6772)------------------------------
% 1.23/0.52 % (6785)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)
% 1.23/0.52 % (6781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.52 % (6781)Termination reason: Unknown
% 1.23/0.52 % (6781)Termination phase: Saturation
% 1.23/0.52
% 1.23/0.52 % (6781)Memory used [KB]: 6268
% 1.23/0.52 % (6781)Time elapsed: 0.110 s
% 1.23/0.52 % (6781)Instructions burned: 13 (million)
% 1.23/0.52 % (6781)------------------------------
% 1.23/0.52 % (6781)------------------------------
% 1.23/0.52 % (6785)Instruction limit reached!
% 1.23/0.52 % (6785)------------------------------
% 1.23/0.52 % (6785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.52 % (6785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.52 % (6785)Termination reason: Unknown
% 1.23/0.52 % (6785)Termination phase: Saturation
% 1.23/0.52
% 1.23/0.52 % (6785)Memory used [KB]: 6012
% 1.23/0.52 % (6785)Time elapsed: 0.003 s
% 1.23/0.52 % (6785)Instructions burned: 4 (million)
% 1.23/0.52 % (6785)------------------------------
% 1.23/0.52 % (6785)------------------------------
% 1.23/0.52 % (6789)Instruction limit reached!
% 1.23/0.52 % (6789)------------------------------
% 1.23/0.52 % (6789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.52 % (6789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.52 % (6789)Termination reason: Unknown
% 1.23/0.52 % (6789)Termination phase: Property scanning
% 1.23/0.52
% 1.23/0.52 % (6789)Memory used [KB]: 1407
% 1.23/0.52 % (6789)Time elapsed: 0.003 s
% 1.23/0.52 % (6789)Instructions burned: 2 (million)
% 1.23/0.52 % (6789)------------------------------
% 1.23/0.52 % (6789)------------------------------
% 1.23/0.52 % (6777)Refutation found. Thanks to Tanya!
% 1.23/0.52 % SZS status Theorem for theBenchmark
% 1.23/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.23/0.52 % (6777)------------------------------
% 1.23/0.52 % (6777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.52 % (6777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.52 % (6777)Termination reason: Refutation
% 1.23/0.52
% 1.23/0.52 % (6777)Memory used [KB]: 6012
% 1.23/0.52 % (6777)Time elapsed: 0.102 s
% 1.23/0.52 % (6777)Instructions burned: 4 (million)
% 1.23/0.52 % (6777)------------------------------
% 1.23/0.52 % (6777)------------------------------
% 1.23/0.52 % (6762)Success in time 0.171 s
%------------------------------------------------------------------------------