TSTP Solution File: ALG014+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG014+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n004.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 15:38:48 EDT 2022
% Result : Theorem 1.42s 0.54s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 15 unt; 0 def)
% Number of atoms : 199 ( 157 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 210 ( 59 ~; 69 |; 77 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 8 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f458,plain,
$false,
inference(avatar_sat_refutation,[],[f374,f390,f417,f433,f445,f452]) ).
fof(f452,plain,
( spl2_6
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f333,f345,f367]) ).
fof(f367,plain,
( spl2_6
<=> op(e1,e1) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f345,plain,
( spl2_1
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f333,plain,
( ~ sP1
| op(e1,e1) = unit ),
inference(definition_unfolding,[],[f182,f95]) ).
fof(f95,plain,
e0 = unit,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
e0 = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f182,plain,
( e0 = op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( ( e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ( e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e3,e3)
& op(e0,e0) = e3 )
| ( op(e0,e0) = e2
& e2 = op(e1,e1)
& e2 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e1 = op(e1,e1)
& e1 = op(e2,e2)
& e1 = op(e3,e3)
& op(e0,e0) = e1 ) )
& ( e0 != op(e1,e1)
| e0 != op(e3,e3)
| e0 != op(e0,e0)
| e0 != op(e2,e2) )
& ( e1 != op(e1,e1)
| e1 != op(e3,e3)
| op(e0,e0) != e1
| e1 != op(e2,e2) )
& ( e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2
| e2 != op(e3,e3) )
& ( e3 != op(e2,e2)
| e3 != op(e3,e3)
| op(e0,e0) != e3
| e3 != op(e1,e1) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ( ( e1 = op(e1,e1)
& op(e0,e0) = e1
& e1 = op(e3,e3)
& e1 = op(e2,e2) )
| ~ ( ( e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ( e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e3,e3)
& op(e0,e0) = e3 )
| ( op(e0,e0) = e2
& e2 = op(e1,e1)
& e2 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e1 = op(e1,e1)
& e1 = op(e2,e2)
& e1 = op(e3,e3)
& op(e0,e0) = e1 ) )
| ( e2 = op(e2,e2)
& op(e0,e0) = e2
& e2 = op(e1,e1)
& e2 = op(e3,e3) )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0)
& e0 = op(e1,e1) )
| ( e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3
& e3 = op(e3,e3) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
( ( e1 = op(e1,e1)
& op(e0,e0) = e1
& e1 = op(e3,e3)
& e1 = op(e2,e2) )
| ~ ( ( e0 = op(e1,e1)
& e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0) )
| ( e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e3,e3)
& op(e0,e0) = e3 )
| ( op(e0,e0) = e2
& e2 = op(e1,e1)
& e2 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e1 = op(e1,e1)
& e1 = op(e2,e2)
& e1 = op(e3,e3)
& op(e0,e0) = e1 ) )
| ( e2 = op(e2,e2)
& op(e0,e0) = e2
& e2 = op(e1,e1)
& e2 = op(e3,e3) )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e0,e0)
& e0 = op(e1,e1) )
| ( e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3
& e3 = op(e3,e3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f445,plain,
( spl2_5
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f335,f345,f363]) ).
fof(f363,plain,
( spl2_5
<=> op(e2,e2) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f335,plain,
( ~ sP1
| op(e2,e2) = unit ),
inference(definition_unfolding,[],[f180,f95]) ).
fof(f180,plain,
( e0 = op(e2,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f433,plain,
( ~ spl2_1
| spl2_7 ),
inference(avatar_split_clause,[],[f334,f371,f345]) ).
fof(f371,plain,
( spl2_7
<=> op(e3,e3) = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f334,plain,
( op(e3,e3) = unit
| ~ sP1 ),
inference(definition_unfolding,[],[f181,f95]) ).
fof(f181,plain,
( e0 = op(e3,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f417,plain,
( spl2_4
| spl2_1 ),
inference(avatar_split_clause,[],[f416,f345,f357]) ).
fof(f357,plain,
( spl2_4
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f416,plain,
( sP1
| sP0 ),
inference(subsumption_resolution,[],[f415,f268]) ).
fof(f268,plain,
e1 != unit,
inference(definition_unfolding,[],[f97,f95]) ).
fof(f97,plain,
e0 != e1,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
( e0 != e2
& e2 != e3
& e0 != e3
& e1 != e2
& e0 != e1
& e1 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f415,plain,
( e1 = unit
| sP0
| sP1 ),
inference(forward_demodulation,[],[f414,f263]) ).
fof(f263,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f93,f95,f95]) ).
fof(f93,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( e1 = op(e1,unit)
& e0 = op(unit,e0)
& e0 = op(e0,unit)
& ( e0 = unit
| e3 = unit
| e1 = unit
| e2 = unit )
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e3 = op(unit,e3)
& e1 = op(unit,e1)
& e3 = op(e3,unit) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f414,plain,
( e1 = op(unit,unit)
| sP0
| sP1 ),
inference(subsumption_resolution,[],[f413,f266]) ).
fof(f266,plain,
e2 != unit,
inference(definition_unfolding,[],[f101,f95]) ).
fof(f101,plain,
e0 != e2,
inference(cnf_transformation,[],[f11]) ).
fof(f413,plain,
( e2 = unit
| sP0
| sP1
| e1 = op(unit,unit) ),
inference(forward_demodulation,[],[f325,f263]) ).
fof(f325,plain,
( e2 = op(unit,unit)
| sP0
| sP1
| e1 = op(unit,unit) ),
inference(definition_unfolding,[],[f202,f95,f95,f95,f95]) ).
fof(f202,plain,
( op(e0,e0) = e1
| op(e0,e0) = e2
| sP0
| sP1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f390,plain,
~ spl2_4,
inference(avatar_split_clause,[],[f389,f357]) ).
fof(f389,plain,
~ sP0,
inference(subsumption_resolution,[],[f388,f267]) ).
fof(f267,plain,
e3 != unit,
inference(definition_unfolding,[],[f99,f95]) ).
fof(f99,plain,
e0 != e3,
inference(cnf_transformation,[],[f11]) ).
fof(f388,plain,
( ~ sP0
| e3 = unit ),
inference(forward_demodulation,[],[f332,f263]) ).
fof(f332,plain,
( ~ sP0
| e3 = op(unit,unit) ),
inference(definition_unfolding,[],[f183,f95,f95]) ).
fof(f183,plain,
( op(e0,e0) = e3
| ~ sP0 ),
inference(cnf_transformation,[],[f14]) ).
fof(f374,plain,
( ~ spl2_5
| ~ spl2_6
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f361,f371,f367,f363]) ).
fof(f361,plain,
( op(e3,e3) != unit
| op(e1,e1) != unit
| op(e2,e2) != unit ),
inference(subsumption_resolution,[],[f324,f264]) ).
fof(f264,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f92,f95,f95]) ).
fof(f92,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f3]) ).
fof(f324,plain,
( op(e3,e3) != unit
| unit != op(unit,unit)
| op(e2,e2) != unit
| op(e1,e1) != unit ),
inference(definition_unfolding,[],[f203,f95,f95,f95,f95,f95,f95]) ).
fof(f203,plain,
( e0 != op(e2,e2)
| e0 != op(e0,e0)
| e0 != op(e3,e3)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG014+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % 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 : n004.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 : Mon Aug 29 14:45:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.51 % (7278)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)
% 0.20/0.51 % (7277)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)
% 0.20/0.51 % (7279)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 % (7286)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (7277)First to succeed.
% 0.20/0.53 % (7294)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 % (7295)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)
% 0.20/0.53 % (7291)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 % (7283)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)
% 0.20/0.53 % (7279)Instruction limit reached!
% 0.20/0.53 % (7279)------------------------------
% 0.20/0.53 % (7279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (7288)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)
% 0.20/0.53 % (7292)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)
% 0.20/0.53 % (7271)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)
% 1.42/0.54 % (7286)Instruction limit reached!
% 1.42/0.54 % (7286)------------------------------
% 1.42/0.54 % (7286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (7286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (7286)Termination reason: Unknown
% 1.42/0.54 % (7286)Termination phase: Property scanning
% 1.42/0.54
% 1.42/0.54 % (7286)Memory used [KB]: 1535
% 1.42/0.54 % (7286)Time elapsed: 0.004 s
% 1.42/0.54 % (7286)Instructions burned: 3 (million)
% 1.42/0.54 % (7286)------------------------------
% 1.42/0.54 % (7286)------------------------------
% 1.42/0.54 % (7280)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)
% 1.42/0.54 % (7269)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.42/0.54 % (7287)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)
% 1.42/0.54 % (7287)Instruction limit reached!
% 1.42/0.54 % (7287)------------------------------
% 1.42/0.54 % (7287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (7279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (7279)Termination reason: Unknown
% 1.42/0.54 % (7279)Termination phase: Saturation
% 1.42/0.54
% 1.42/0.54 % (7279)Memory used [KB]: 1663
% 1.42/0.54 % (7279)Time elapsed: 0.008 s
% 1.42/0.54 % (7279)Instructions burned: 12 (million)
% 1.42/0.54 % (7279)------------------------------
% 1.42/0.54 % (7279)------------------------------
% 1.42/0.54 % (7283)Instruction limit reached!
% 1.42/0.54 % (7283)------------------------------
% 1.42/0.54 % (7283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (7283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (7283)Termination reason: Unknown
% 1.42/0.54 % (7283)Termination phase: Property scanning
% 1.42/0.54
% 1.42/0.54 % (7283)Memory used [KB]: 1535
% 1.42/0.54 % (7283)Time elapsed: 0.004 s
% 1.42/0.54 % (7283)Instructions burned: 3 (million)
% 1.42/0.54 % (7283)------------------------------
% 1.42/0.54 % (7283)------------------------------
% 1.42/0.54 % (7294)Also succeeded, but the first one will report.
% 1.42/0.54 % (7298)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)
% 1.42/0.54 % (7278)Also succeeded, but the first one will report.
% 1.42/0.54 % (7277)Refutation found. Thanks to Tanya!
% 1.42/0.54 % SZS status Theorem for theBenchmark
% 1.42/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.54 % (7277)------------------------------
% 1.42/0.54 % (7277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (7277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (7277)Termination reason: Refutation
% 1.42/0.54
% 1.42/0.54 % (7277)Memory used [KB]: 6396
% 1.42/0.54 % (7277)Time elapsed: 0.013 s
% 1.42/0.54 % (7277)Instructions burned: 15 (million)
% 1.42/0.54 % (7277)------------------------------
% 1.42/0.54 % (7277)------------------------------
% 1.42/0.54 % (7268)Success in time 0.19 s
%------------------------------------------------------------------------------