TSTP Solution File: ALG199+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG199+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 : n010.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 15:40:35 EDT 2022
% Result : Theorem 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of formulae : 42 ( 29 unt; 0 def)
% Number of atoms : 127 ( 105 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 151 ( 66 ~; 54 |; 24 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 8 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2109,plain,
$false,
inference(avatar_sat_refutation,[],[f1181,f1249,f1615,f1841,f1898,f1974,f1981,f2102]) ).
fof(f2102,plain,
~ spl7_121,
inference(avatar_split_clause,[],[f550,f1052]) ).
fof(f1052,plain,
( spl7_121
<=> e4 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_121])]) ).
fof(f550,plain,
e4 != sF6,
inference(definition_folding,[],[f32,f547]) ).
fof(f547,plain,
op(e4,e4) = sF6,
introduced(function_definition,[]) ).
fof(f32,plain,
e4 != op(e4,e4),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( e2 != op(e2,e2)
& e0 != op(e0,e0)
& e6 != op(e6,e6)
& e5 != op(e5,e5)
& e1 != op(e1,e1)
& ( e5 != op(e5,e5)
| e6 != op(e6,e6)
| e2 != op(e2,e2)
| e3 != op(e3,e3)
| e1 != op(e1,e1)
| e0 != op(e0,e0)
| e4 != op(e4,e4) )
& ( e6 = op(e6,e6)
| e1 = op(e1,e1)
| e0 = op(e0,e0)
| e3 = op(e3,e3)
| e2 = op(e2,e2)
| e5 = op(e5,e5)
| e4 = op(e4,e4) )
& e4 != op(e4,e4)
& e3 != op(e3,e3) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( e2 != op(e2,e2)
& e0 != op(e0,e0)
& e6 != op(e6,e6)
& e5 != op(e5,e5)
& e1 != op(e1,e1)
& ( e5 != op(e5,e5)
| e6 != op(e6,e6)
| e2 != op(e2,e2)
| e3 != op(e3,e3)
| e1 != op(e1,e1)
| e0 != op(e0,e0)
| e4 != op(e4,e4) )
& ( e6 = op(e6,e6)
| e1 = op(e1,e1)
| e0 = op(e0,e0)
| e3 = op(e3,e3)
| e2 = op(e2,e2)
| e5 = op(e5,e5)
| e4 = op(e4,e4) )
& e4 != op(e4,e4)
& e3 != op(e3,e3) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( e2 != op(e2,e2)
& e0 != op(e0,e0)
& e6 != op(e6,e6)
& e5 != op(e5,e5)
& e1 != op(e1,e1)
& ( e5 != op(e5,e5)
| e6 != op(e6,e6)
| e2 != op(e2,e2)
| e3 != op(e3,e3)
| e1 != op(e1,e1)
| e0 != op(e0,e0)
| e4 != op(e4,e4) )
& ( e6 = op(e6,e6)
| e1 = op(e1,e1)
| e0 = op(e0,e0)
| e3 = op(e3,e3)
| e2 = op(e2,e2)
| e5 = op(e5,e5)
| e4 = op(e4,e4) )
& e4 != op(e4,e4)
& e3 != op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1981,plain,
~ spl7_119,
inference(avatar_split_clause,[],[f545,f1044]) ).
fof(f1044,plain,
( spl7_119
<=> e1 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_119])]) ).
fof(f545,plain,
e1 != sF4,
inference(definition_folding,[],[f35,f544]) ).
fof(f544,plain,
op(e1,e1) = sF4,
introduced(function_definition,[]) ).
fof(f35,plain,
e1 != op(e1,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f1974,plain,
~ spl7_123,
inference(avatar_split_clause,[],[f551,f1060]) ).
fof(f1060,plain,
( spl7_123
<=> e3 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_123])]) ).
fof(f551,plain,
e3 != sF5,
inference(definition_folding,[],[f31,f546]) ).
fof(f546,plain,
op(e3,e3) = sF5,
introduced(function_definition,[]) ).
fof(f31,plain,
e3 != op(e3,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f1898,plain,
~ spl7_118,
inference(avatar_split_clause,[],[f537,f1040]) ).
fof(f1040,plain,
( spl7_118
<=> e2 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_118])]) ).
fof(f537,plain,
e2 != sF0,
inference(definition_folding,[],[f39,f536]) ).
fof(f536,plain,
op(e2,e2) = sF0,
introduced(function_definition,[]) ).
fof(f39,plain,
e2 != op(e2,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f1841,plain,
~ spl7_124,
inference(avatar_split_clause,[],[f543,f1064]) ).
fof(f1064,plain,
( spl7_124
<=> e5 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_124])]) ).
fof(f543,plain,
e5 != sF3,
inference(definition_folding,[],[f36,f542]) ).
fof(f542,plain,
op(e5,e5) = sF3,
introduced(function_definition,[]) ).
fof(f36,plain,
e5 != op(e5,e5),
inference(cnf_transformation,[],[f9]) ).
fof(f1615,plain,
~ spl7_122,
inference(avatar_split_clause,[],[f541,f1056]) ).
fof(f1056,plain,
( spl7_122
<=> e6 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_122])]) ).
fof(f541,plain,
e6 != sF2,
inference(definition_folding,[],[f37,f540]) ).
fof(f540,plain,
op(e6,e6) = sF2,
introduced(function_definition,[]) ).
fof(f37,plain,
e6 != op(e6,e6),
inference(cnf_transformation,[],[f9]) ).
fof(f1249,plain,
~ spl7_120,
inference(avatar_split_clause,[],[f539,f1048]) ).
fof(f1048,plain,
( spl7_120
<=> e0 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_120])]) ).
fof(f539,plain,
e0 != sF1,
inference(definition_folding,[],[f38,f538]) ).
fof(f538,plain,
op(e0,e0) = sF1,
introduced(function_definition,[]) ).
fof(f38,plain,
e0 != op(e0,e0),
inference(cnf_transformation,[],[f9]) ).
fof(f1181,plain,
( spl7_122
| spl7_124
| spl7_118
| spl7_123
| spl7_120
| spl7_119
| spl7_121 ),
inference(avatar_split_clause,[],[f549,f1052,f1044,f1048,f1060,f1040,f1064,f1056]) ).
fof(f549,plain,
( e4 = sF6
| e1 = sF4
| e0 = sF1
| e3 = sF5
| e2 = sF0
| e5 = sF3
| e6 = sF2 ),
inference(definition_folding,[],[f33,f547,f542,f536,f546,f538,f544,f540]) ).
fof(f33,plain,
( e6 = op(e6,e6)
| e1 = op(e1,e1)
| e0 = op(e0,e0)
| e3 = op(e3,e3)
| e2 = op(e2,e2)
| e5 = op(e5,e5)
| e4 = op(e4,e4) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ALG199+1 : TPTP v8.1.0. Released v2.7.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n010.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 : Mon Aug 29 14:51:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (11219)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 % (11224)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)
% 0.19/0.52 % (11224)Instruction limit reached!
% 0.19/0.52 % (11224)------------------------------
% 0.19/0.52 % (11224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (11224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (11224)Termination reason: Unknown
% 0.19/0.52 % (11224)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (11224)Memory used [KB]: 1791
% 0.19/0.52 % (11224)Time elapsed: 0.008 s
% 0.19/0.52 % (11224)Instructions burned: 16 (million)
% 0.19/0.52 % (11224)------------------------------
% 0.19/0.52 % (11224)------------------------------
% 0.19/0.52 % (11236)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (11236)Instruction limit reached!
% 0.19/0.52 % (11236)------------------------------
% 0.19/0.52 % (11236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (11233)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)
% 0.19/0.52 % (11223)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)
% 0.19/0.53 % (11220)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)
% 0.19/0.53 % (11246)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)
% 0.19/0.53 % (11236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (11236)Termination reason: Unknown
% 0.19/0.53 % (11236)Termination phase: Naming
% 0.19/0.53
% 0.19/0.53 % (11236)Memory used [KB]: 1663
% 0.19/0.53 % (11236)Time elapsed: 0.004 s
% 0.19/0.53 % (11236)Instructions burned: 4 (million)
% 0.19/0.53 % (11236)------------------------------
% 0.19/0.53 % (11236)------------------------------
% 0.19/0.53 % (11238)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)
% 0.19/0.53 % (11227)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)
% 0.19/0.53 % (11238)Instruction limit reached!
% 0.19/0.53 % (11238)------------------------------
% 0.19/0.53 % (11238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (11238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (11238)Termination reason: Unknown
% 0.19/0.53 % (11238)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (11238)Memory used [KB]: 1791
% 0.19/0.53 % (11238)Time elapsed: 0.007 s
% 0.19/0.53 % (11238)Instructions burned: 11 (million)
% 0.19/0.53 % (11238)------------------------------
% 0.19/0.53 % (11238)------------------------------
% 0.19/0.54 % (11230)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)
% 0.19/0.54 % (11244)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)
% 0.19/0.54 % (11230)Instruction limit reached!
% 0.19/0.54 % (11230)------------------------------
% 0.19/0.54 % (11230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (11230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (11230)Termination reason: Unknown
% 0.19/0.54 % (11230)Termination phase: Preprocessing 3
% 0.19/0.54
% 0.19/0.54 % (11230)Memory used [KB]: 1663
% 0.19/0.54 % (11230)Time elapsed: 0.004 s
% 0.19/0.54 % (11230)Instructions burned: 7 (million)
% 0.19/0.54 % (11230)------------------------------
% 0.19/0.54 % (11230)------------------------------
% 0.19/0.54 % (11221)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)
% 0.19/0.54 % (11235)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)
% 0.19/0.54 % (11221)Instruction limit reached!
% 0.19/0.54 % (11221)------------------------------
% 0.19/0.54 % (11221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (11221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (11221)Termination reason: Unknown
% 0.19/0.54 % (11221)Termination phase: Preprocessing 3
% 0.19/0.54
% 0.19/0.54 % (11221)Memory used [KB]: 1663
% 0.19/0.54 % (11221)Time elapsed: 0.004 s
% 0.19/0.54 % (11221)Instructions burned: 4 (million)
% 0.19/0.54 % (11221)------------------------------
% 0.19/0.54 % (11221)------------------------------
% 0.19/0.54 % (11241)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)
% 0.19/0.54 % (11240)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (11222)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)
% 0.19/0.54 % (11245)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)
% 0.19/0.54 % (11247)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)
% 0.19/0.55 % (11225)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)
% 0.19/0.55 % (11233)Instruction limit reached!
% 0.19/0.55 % (11233)------------------------------
% 0.19/0.55 % (11233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (11233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (11233)Termination reason: Unknown
% 0.19/0.55 % (11233)Termination phase: shuffling
% 0.19/0.55
% 0.19/0.55 % (11233)Memory used [KB]: 1663
% 0.19/0.55 % (11233)Time elapsed: 0.003 s
% 0.19/0.55 % (11233)Instructions burned: 3 (million)
% 0.19/0.55 % (11233)------------------------------
% 0.19/0.55 % (11233)------------------------------
% 0.19/0.55 % (11247)Instruction limit reached!
% 0.19/0.55 % (11247)------------------------------
% 0.19/0.55 % (11247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (11247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (11247)Termination reason: Unknown
% 0.19/0.55 % (11247)Termination phase: Property scanning
% 0.19/0.55
% 0.19/0.55 % (11247)Memory used [KB]: 1791
% 0.19/0.55 % (11247)Time elapsed: 0.004 s
% 0.19/0.55 % (11247)Instructions burned: 8 (million)
% 0.19/0.55 % (11247)------------------------------
% 0.19/0.55 % (11247)------------------------------
% 0.19/0.55 % (11239)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.55 % (11243)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)
% 0.19/0.55 % (11219)First to succeed.
% 0.19/0.55 % (11220)Instruction limit reached!
% 0.19/0.55 % (11220)------------------------------
% 0.19/0.55 % (11220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (11220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (11220)Termination reason: Unknown
% 0.19/0.55 % (11220)Termination phase: Property scanning
% 0.19/0.55
% 0.19/0.55 % (11220)Memory used [KB]: 1791
% 0.19/0.55 % (11220)Time elapsed: 0.006 s
% 0.19/0.55 % (11220)Instructions burned: 13 (million)
% 0.19/0.55 % (11220)------------------------------
% 0.19/0.55 % (11220)------------------------------
% 0.19/0.55 % (11248)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)
% 0.19/0.55 % (11237)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)
% 0.19/0.56 % (11231)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)
% 0.19/0.56 % (11219)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Theorem for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (11219)------------------------------
% 0.19/0.56 % (11219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (11219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (11219)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (11219)Memory used [KB]: 7164
% 0.19/0.56 % (11219)Time elapsed: 0.033 s
% 0.19/0.56 % (11219)Instructions burned: 42 (million)
% 0.19/0.56 % (11219)------------------------------
% 0.19/0.56 % (11219)------------------------------
% 0.19/0.56 % (11213)Success in time 0.209 s
%------------------------------------------------------------------------------