TSTP Solution File: NUM183-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM183-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n005.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 18:03:38 EDT 2022
% Result : Unsatisfiable 1.83s 0.60s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 27 ( 15 unt; 3 typ; 0 def)
% Number of atoms : 39 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 21 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_18,type,
sQ1_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_19,type,
sQ2_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_20,type,
sQ3_eqProxy: ( $real * $real ) > $o ).
fof(f620,plain,
$false,
inference(subsumption_resolution,[],[f619,f548]) ).
fof(f548,plain,
member(x,universal_class),
inference(resolution,[],[f546,f368]) ).
fof(f368,plain,
! [X0] : subclass(X0,universal_class),
inference(literal_reordering,[],[f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f546,plain,
! [X14] :
( ~ subclass(ordinal_numbers,X14)
| member(x,X14) ),
inference(resolution,[],[f259,f308]) ).
fof(f308,plain,
member(x,ordinal_numbers),
inference(literal_reordering,[],[f159]) ).
fof(f159,axiom,
member(x,ordinal_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_1) ).
fof(f259,plain,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
inference(literal_reordering,[],[f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ subclass(X0,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f619,plain,
~ member(x,universal_class),
inference(subsumption_resolution,[],[f618,f288]) ).
fof(f288,plain,
~ member(x,kind_1_ordinals),
inference(literal_reordering,[],[f160]) ).
fof(f160,axiom,
~ member(x,kind_1_ordinals),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_2) ).
fof(f618,plain,
( member(x,kind_1_ordinals)
| ~ member(x,universal_class) ),
inference(resolution,[],[f616,f379]) ).
fof(f379,plain,
! [X0,X4] :
( member(X4,complement(X0))
| ~ member(X4,universal_class)
| member(X4,X0) ),
inference(literal_reordering,[],[f25]) ).
fof(f25,axiom,
! [X0,X4] :
( ~ member(X4,universal_class)
| member(X4,complement(X0))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f616,plain,
~ member(x,complement(kind_1_ordinals)),
inference(subsumption_resolution,[],[f609,f308]) ).
fof(f609,plain,
( ~ member(x,complement(kind_1_ordinals))
| ~ member(x,ordinal_numbers) ),
inference(resolution,[],[f287,f517]) ).
fof(f517,plain,
~ member(x,intersection(complement(kind_1_ordinals),ordinal_numbers)),
inference(backward_demodulation,[],[f380,f366]) ).
fof(f366,plain,
intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
inference(literal_reordering,[],[f139]) ).
fof(f139,axiom,
intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',limit_ordinals) ).
fof(f380,plain,
~ member(x,limit_ordinals),
inference(literal_reordering,[],[f161]) ).
fof(f161,axiom,
~ member(x,limit_ordinals),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_3) ).
fof(f287,plain,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X0)
| ~ member(X4,X1) ),
inference(literal_reordering,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( ~ member(X4,X0)
| ~ member(X4,X1)
| member(X4,intersection(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NUM183-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.05/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32 % Computer : n005.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 06:06:18 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.17/0.47 % (17269)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.47 % (17267)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)
% 0.17/0.47 % (17261)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.47 % (17259)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.49 % (17278)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)
% 0.17/0.49 % (17266)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)
% 0.17/0.49 % (17276)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.49 % (17259)Instruction limit reached!
% 0.17/0.49 % (17259)------------------------------
% 0.17/0.49 % (17259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (17259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (17259)Termination reason: Unknown
% 0.17/0.49 % (17259)Termination phase: Unused predicate definition removal
% 0.17/0.49
% 0.17/0.49 % (17259)Memory used [KB]: 1023
% 0.17/0.49 % (17259)Time elapsed: 0.003 s
% 0.17/0.49 % (17259)Instructions burned: 2 (million)
% 0.17/0.49 % (17259)------------------------------
% 0.17/0.49 % (17259)------------------------------
% 0.17/0.50 % (17258)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.50 % (17258)Instruction limit reached!
% 0.17/0.50 % (17258)------------------------------
% 0.17/0.50 % (17258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (17258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (17258)Termination reason: Unknown
% 0.17/0.50 % (17258)Termination phase: Saturation
% 0.17/0.50
% 0.17/0.50 % (17258)Memory used [KB]: 5628
% 0.17/0.50 % (17258)Time elapsed: 0.119 s
% 0.17/0.50 % (17258)Instructions burned: 8 (million)
% 0.17/0.50 % (17258)------------------------------
% 0.17/0.50 % (17258)------------------------------
% 0.17/0.50 % (17274)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)
% 0.17/0.52 % (17254)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)
% 0.17/0.52 % (17251)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)
% 0.17/0.53 % (17256)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)
% 0.17/0.53 % (17268)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.17/0.54 % (17255)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.54 % (17262)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)
% 0.17/0.54 % (17271)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)
% 0.17/0.55 % (17277)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)
% 1.68/0.55 % (17260)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)
% 1.68/0.55 % (17270)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)
% 1.68/0.55 % (17263)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.68/0.56 % (17272)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.68/0.56 % (17264)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.68/0.56 % (17275)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.68/0.57 % (17253)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)
% 1.83/0.57 % (17261)Instruction limit reached!
% 1.83/0.57 % (17261)------------------------------
% 1.83/0.57 % (17261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.58 % (17261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.58 % (17261)Termination reason: Unknown
% 1.83/0.58 % (17261)Termination phase: Saturation
% 1.83/0.58
% 1.83/0.58 % (17261)Memory used [KB]: 6524
% 1.83/0.58 % (17261)Time elapsed: 0.192 s
% 1.83/0.58 % (17261)Instructions burned: 51 (million)
% 1.83/0.58 % (17261)------------------------------
% 1.83/0.58 % (17261)------------------------------
% 1.83/0.58 % (17279)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.83/0.59 % (17252)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)
% 1.83/0.60 % (17280)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)
% 1.83/0.60 % (17273)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)
% 1.83/0.60 % (17277)First to succeed.
% 1.83/0.60 % (17277)Refutation found. Thanks to Tanya!
% 1.83/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.83/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.83/0.60 % (17277)------------------------------
% 1.83/0.60 % (17277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.60 % (17277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.60 % (17277)Termination reason: Refutation
% 1.83/0.60
% 1.83/0.60 % (17277)Memory used [KB]: 6268
% 1.83/0.60 % (17277)Time elapsed: 0.016 s
% 1.83/0.60 % (17277)Instructions burned: 18 (million)
% 1.83/0.60 % (17277)------------------------------
% 1.83/0.60 % (17277)------------------------------
% 1.83/0.60 % (17250)Success in time 0.275 s
%------------------------------------------------------------------------------