TSTP Solution File: NUM840+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM840+1 : 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 18:02:31 EDT 2022
% Result : Theorem 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 50 ( 12 unt; 0 def)
% Number of atoms : 92 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 79 ( 37 ~; 32 |; 0 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f203,plain,
$false,
inference(avatar_sat_refutation,[],[f137,f170,f173,f185,f202]) ).
fof(f202,plain,
( ~ spl4_3
| spl4_4 ),
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f201,plain,
( $false
| ~ spl4_3
| spl4_4 ),
inference(subsumption_resolution,[],[f196,f143]) ).
fof(f143,plain,
( greater(vd328,vd329)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl4_3
<=> greater(vd328,vd329) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f196,plain,
( ~ greater(vd328,vd329)
| spl4_4 ),
inference(resolution,[],[f147,f75]) ).
fof(f75,plain,
! [X2,X0,X1] :
( greater(vplus(X2,X1),vplus(X0,X1))
| ~ greater(X2,X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X1,X2,X0] :
( greater(vplus(X2,X1),vplus(X0,X1))
| ~ greater(X2,X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( greater(X2,X0)
=> greater(vplus(X2,X1),vplus(X0,X1)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X2,X0] :
( greater(X0,X1)
=> greater(vplus(X0,X2),vplus(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof(f147,plain,
( ~ greater(vplus(vd328,vd330),vplus(vd329,vd330))
| spl4_4 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl4_4
<=> greater(vplus(vd328,vd330),vplus(vd329,vd330)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f185,plain,
( spl4_3
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f175,f115,f141]) ).
fof(f115,plain,
( spl4_1
<=> less(vd329,vd328) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f175,plain,
( greater(vd328,vd329)
| ~ spl4_1 ),
inference(unit_resulting_resolution,[],[f117,f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ less(X1,X0)
| greater(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( greater(X0,X1)
| ~ less(X1,X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( less(X1,X0)
=> greater(X0,X1) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X23,X22] :
( less(X22,X23)
=> greater(X23,X22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f117,plain,
( less(vd329,vd328)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f173,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f172,f119,f115]) ).
fof(f119,plain,
( spl4_2
<=> vd328 = vd329 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f172,plain,
( vd328 = vd329
| less(vd329,vd328) ),
inference(resolution,[],[f110,f91]) ).
fof(f91,plain,
! [X0,X1] :
( greater(X1,X0)
| X0 = X1
| less(X1,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( greater(X1,X0)
| less(X1,X0)
| X0 = X1 ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X27,X26] :
( less(X26,X27)
| greater(X26,X27)
| X26 = X27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f110,plain,
~ greater(vd329,vd328),
inference(unit_resulting_resolution,[],[f101,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| less(X1,X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| less(X1,X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( greater(X0,X1)
=> less(X1,X0) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X24,X25] :
( greater(X24,X25)
=> less(X25,X24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f101,plain,
~ less(vd328,vd329),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
~ less(vd328,vd329),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ less(vd328,vd329),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
less(vd328,vd329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(conjunct2(conjunct2(204))), 336, 0)') ).
fof(f170,plain,
~ spl4_4,
inference(avatar_split_clause,[],[f156,f145]) ).
fof(f156,plain,
~ greater(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(unit_resulting_resolution,[],[f89,f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ less(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( ~ less(X1,X0)
| ~ greater(X1,X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X27,X26] :
( ~ greater(X26,X27)
| ~ less(X26,X27) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f89,plain,
less(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
less(vplus(vd328,vd330),vplus(vd329,vd330)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(antec(conjunct2(conjunct2(204))), 335, 0)') ).
fof(f137,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f136]) ).
fof(f136,plain,
( $false
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f132,f109]) ).
fof(f109,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ less(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( X0 != X1
| ~ less(X1,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X27,X26] :
( X26 != X27
| ~ less(X26,X27) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof(f132,plain,
( less(vplus(vd328,vd330),vplus(vd328,vd330))
| ~ spl4_2 ),
inference(backward_demodulation,[],[f89,f121]) ).
fof(f121,plain,
( vd328 = vd329
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM840+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 09:15:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.49 % (30009)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)
% 0.18/0.49 % (30024)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.49 % (30009)Instruction limit reached!
% 0.18/0.49 % (30009)------------------------------
% 0.18/0.49 % (30009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (30009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (30009)Termination reason: Unknown
% 0.18/0.49 % (30009)Termination phase: Saturation
% 0.18/0.49
% 0.18/0.49 % (30009)Memory used [KB]: 1535
% 0.18/0.49 % (30009)Time elapsed: 0.004 s
% 0.18/0.49 % (30009)Instructions burned: 3 (million)
% 0.18/0.49 % (30009)------------------------------
% 0.18/0.49 % (30009)------------------------------
% 0.18/0.50 % (30024)Instruction limit reached!
% 0.18/0.50 % (30024)------------------------------
% 0.18/0.50 % (30024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (30024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (30024)Termination reason: Unknown
% 0.18/0.50 % (30024)Termination phase: Finite model building preprocessing
% 0.18/0.50
% 0.18/0.50 % (30024)Memory used [KB]: 1535
% 0.18/0.50 % (30024)Time elapsed: 0.003 s
% 0.18/0.50 % (30024)Instructions burned: 3 (million)
% 0.18/0.50 % (30024)------------------------------
% 0.18/0.50 % (30024)------------------------------
% 0.18/0.50 % (30017)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)
% 0.18/0.50 % (30020)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)
% 0.18/0.51 % (30012)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)
% 0.18/0.51 % (30030)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)
% 0.18/0.51 % (30012)Refutation not found, incomplete strategy% (30012)------------------------------
% 0.18/0.51 % (30012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (30012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (30012)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (30012)Memory used [KB]: 1535
% 0.18/0.51 % (30012)Time elapsed: 0.111 s
% 0.18/0.51 % (30012)Instructions burned: 2 (million)
% 0.18/0.51 % (30012)------------------------------
% 0.18/0.51 % (30012)------------------------------
% 0.18/0.51 % (30030)Refutation not found, incomplete strategy% (30030)------------------------------
% 0.18/0.51 % (30030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (30018)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)
% 0.18/0.51 % (30029)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)
% 0.18/0.51 % (30017)Instruction limit reached!
% 0.18/0.51 % (30017)------------------------------
% 0.18/0.51 % (30017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (30017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (30017)Termination reason: Unknown
% 0.18/0.51 % (30017)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (30017)Memory used [KB]: 6140
% 0.18/0.51 % (30017)Time elapsed: 0.112 s
% 0.18/0.51 % (30017)Instructions burned: 12 (million)
% 0.18/0.51 % (30017)------------------------------
% 0.18/0.51 % (30017)------------------------------
% 0.18/0.51 % (30025)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)
% 0.18/0.52 % (30025)Instruction limit reached!
% 0.18/0.52 % (30025)------------------------------
% 0.18/0.52 % (30025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (30025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (30025)Termination reason: Unknown
% 0.18/0.52 % (30025)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (30025)Memory used [KB]: 6012
% 0.18/0.52 % (30025)Time elapsed: 0.003 s
% 0.18/0.52 % (30025)Instructions burned: 2 (million)
% 0.18/0.52 % (30025)------------------------------
% 0.18/0.52 % (30025)------------------------------
% 0.18/0.52 % (30010)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)
% 0.18/0.52 % (30022)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)
% 0.18/0.52 % (30037)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.52 % (30014)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)
% 0.18/0.52 % (30007)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.52 % (30035)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)
% 0.18/0.52 % (30013)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)
% 0.18/0.52 % (30038)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)
% 0.18/0.53 % (30016)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)
% 0.18/0.53 % (30011)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)
% 0.18/0.53 % (30034)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)
% 0.18/0.53 % (30015)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)
% 0.18/0.53 % (30015)First to succeed.
% 0.18/0.53 % (30022)Instruction limit reached!
% 0.18/0.53 % (30022)------------------------------
% 0.18/0.53 % (30022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (30022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (30022)Termination reason: Unknown
% 0.18/0.53 % (30022)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (30022)Memory used [KB]: 6012
% 0.18/0.53 % (30022)Time elapsed: 0.097 s
% 0.18/0.53 % (30022)Instructions burned: 7 (million)
% 0.18/0.53 % (30022)------------------------------
% 0.18/0.53 % (30022)------------------------------
% 0.18/0.53 % (30015)Refutation found. Thanks to Tanya!
% 0.18/0.53 % SZS status Theorem for theBenchmark
% 0.18/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53 % (30015)------------------------------
% 0.18/0.53 % (30015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (30015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (30015)Termination reason: Refutation
% 0.18/0.53
% 0.18/0.53 % (30015)Memory used [KB]: 6012
% 0.18/0.53 % (30015)Time elapsed: 0.133 s
% 0.18/0.53 % (30015)Instructions burned: 5 (million)
% 0.18/0.53 % (30015)------------------------------
% 0.18/0.53 % (30015)------------------------------
% 0.18/0.53 % (30003)Success in time 0.185 s
%------------------------------------------------------------------------------