TSTP Solution File: NUM009-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM009-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n024.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 18:03:15 EDT 2022
% Result : Unsatisfiable 1.57s 0.59s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f836,plain,
$false,
inference(subsumption_resolution,[],[f835,f220]) ).
fof(f220,axiom,
~ member(empty_set,natural_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_zero_is_a_natural) ).
fof(f835,plain,
member(empty_set,natural_numbers),
inference(subsumption_resolution,[],[f834,f310]) ).
fof(f310,plain,
little_set(empty_set),
inference(resolution,[],[f1,f61]) ).
fof(f61,axiom,
member(empty_set,infinity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infinity2) ).
fof(f1,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| little_set(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
fof(f834,plain,
( ~ little_set(empty_set)
| member(empty_set,natural_numbers) ),
inference(duplicate_literal_removal,[],[f831]) ).
fof(f831,plain,
( member(empty_set,natural_numbers)
| ~ little_set(empty_set)
| member(empty_set,natural_numbers) ),
inference(resolution,[],[f169,f171]) ).
fof(f171,axiom,
! [X3] :
( ~ member(X3,f44(X3))
| member(X3,natural_numbers) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',natural_numbers6) ).
fof(f169,axiom,
! [X3] :
( member(empty_set,f44(X3))
| ~ little_set(X3)
| member(X3,natural_numbers) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',natural_numbers4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM009-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n024.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 : Tue Aug 30 05:50:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (27111)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (27107)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (27111)Instruction limit reached!
% 0.19/0.50 % (27111)------------------------------
% 0.19/0.50 % (27111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (27112)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (27105)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51 % (27111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (27111)Termination reason: Unknown
% 0.19/0.51 % (27111)Termination phase: Function definition elimination
% 0.19/0.51
% 0.19/0.51 % (27111)Memory used [KB]: 1151
% 0.19/0.51 % (27111)Time elapsed: 0.003 s
% 0.19/0.51 % (27111)Instructions burned: 3 (million)
% 0.19/0.51 % (27111)------------------------------
% 0.19/0.51 % (27111)------------------------------
% 0.19/0.51 % (27119)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (27116)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (27120)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.51 % (27113)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (27106)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (27128)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (27109)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (27130)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52 % (27125)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53 % (27124)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (27126)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.53 % (27103)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53 % (27108)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (27117)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (27127)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (27114)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.54 % (27118)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.40/0.54 % (27104)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.40/0.54 % (27123)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.40/0.54 % (27129)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.40/0.54 % (27110)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.40/0.55 % (27122)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.55 % (27110)Instruction limit reached!
% 1.40/0.55 % (27110)------------------------------
% 1.40/0.55 % (27110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55 % (27110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55 % (27110)Termination reason: Unknown
% 1.40/0.55 % (27110)Termination phase: Saturation
% 1.40/0.55
% 1.40/0.55 % (27110)Memory used [KB]: 5628
% 1.40/0.55 % (27110)Time elapsed: 0.006 s
% 1.40/0.55 % (27110)Instructions burned: 8 (million)
% 1.40/0.55 % (27110)------------------------------
% 1.40/0.55 % (27110)------------------------------
% 1.40/0.55 % (27121)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.55 % (27115)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.57/0.56 % (27132)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.57/0.56 % (27107)Instruction limit reached!
% 1.57/0.56 % (27107)------------------------------
% 1.57/0.56 % (27107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56 % (27107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56 % (27107)Termination reason: Unknown
% 1.57/0.56 % (27107)Termination phase: Saturation
% 1.57/0.56
% 1.57/0.56 % (27107)Memory used [KB]: 6396
% 1.57/0.56 % (27107)Time elapsed: 0.138 s
% 1.57/0.56 % (27107)Instructions burned: 51 (million)
% 1.57/0.56 % (27107)------------------------------
% 1.57/0.56 % (27107)------------------------------
% 1.57/0.57 % (27131)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.57/0.59 % (27105)First to succeed.
% 1.57/0.59 % (27105)Refutation found. Thanks to Tanya!
% 1.57/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.57/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.59 % (27105)------------------------------
% 1.57/0.59 % (27105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.59 % (27105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.59 % (27105)Termination reason: Refutation
% 1.57/0.59
% 1.57/0.59 % (27105)Memory used [KB]: 1791
% 1.57/0.59 % (27105)Time elapsed: 0.187 s
% 1.57/0.59 % (27105)Instructions burned: 36 (million)
% 1.57/0.59 % (27105)------------------------------
% 1.57/0.59 % (27105)------------------------------
% 1.57/0.59 % (27102)Success in time 0.238 s
%------------------------------------------------------------------------------