TSTP Solution File: NUM089-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM089-1 : 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 : 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 18:03:27 EDT 2022
% Result : Unsatisfiable 2.24s 0.68s
% Output : Refutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 48 ( 21 unt; 0 def)
% Number of atoms : 93 ( 16 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 86 ( 41 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f780,plain,
$false,
inference(subsumption_resolution,[],[f778,f11]) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f778,plain,
~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),universal_class),
inference(resolution,[],[f759,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f759,plain,
member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),complement(universal_class)),
inference(subsumption_resolution,[],[f758,f335]) ).
fof(f335,plain,
member(v,universal_class),
inference(resolution,[],[f283,f162]) ).
fof(f162,axiom,
member(v,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sections_property1_4) ).
fof(f283,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f758,plain,
( ~ member(v,universal_class)
| member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),complement(universal_class)) ),
inference(subsumption_resolution,[],[f756,f337]) ).
fof(f337,plain,
! [X1] : member(u,unordered_pair(u,X1)),
inference(resolution,[],[f334,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f334,plain,
member(u,universal_class),
inference(resolution,[],[f283,f161]) ).
fof(f161,axiom,
member(u,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sections_property1_3) ).
fof(f756,plain,
( ~ member(u,unordered_pair(u,u))
| member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),complement(universal_class))
| ~ member(v,universal_class) ),
inference(resolution,[],[f755,f188]) ).
fof(f188,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
| ~ member(X3,X1)
| ~ member(X2,X0) ),
inference(definition_unfolding,[],[f16,f164]) ).
fof(f164,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X2,X0)
| ~ member(X3,X1)
| member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f755,plain,
( ~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(unordered_pair(u,u),universal_class))
| member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),complement(universal_class)) ),
inference(subsumption_resolution,[],[f754,f161]) ).
fof(f754,plain,
( member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),complement(universal_class))
| ~ member(u,z)
| ~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(unordered_pair(u,u),universal_class)) ),
inference(subsumption_resolution,[],[f752,f162]) ).
fof(f752,plain,
( ~ member(v,y)
| ~ member(u,z)
| member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),complement(universal_class))
| ~ member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),cross_product(unordered_pair(u,u),universal_class)) ),
inference(resolution,[],[f740,f219]) ).
fof(f219,plain,
member(unordered_pair(unordered_pair(u,u),unordered_pair(u,unordered_pair(v,v))),xr),
inference(definition_unfolding,[],[f160,f164]) ).
fof(f160,axiom,
member(ordered_pair(u,v),xr),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sections_property1_2) ).
fof(f740,plain,
! [X10,X11] :
( ~ member(unordered_pair(unordered_pair(X11,X11),unordered_pair(X11,unordered_pair(X10,X10))),xr)
| ~ member(unordered_pair(unordered_pair(X11,X11),unordered_pair(X11,unordered_pair(X10,X10))),cross_product(unordered_pair(u,u),universal_class))
| ~ member(X11,z)
| member(unordered_pair(unordered_pair(X11,X11),unordered_pair(X11,unordered_pair(X10,X10))),complement(universal_class))
| ~ member(X10,y) ),
inference(resolution,[],[f188,f651]) ).
fof(f651,plain,
! [X1] :
( ~ member(X1,cross_product(z,y))
| member(X1,complement(universal_class))
| ~ member(X1,cross_product(unordered_pair(u,u),universal_class))
| ~ member(X1,xr) ),
inference(resolution,[],[f611,f23]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f611,plain,
! [X0] :
( ~ member(X0,intersection(xr,cross_product(z,y)))
| ~ member(X0,cross_product(unordered_pair(u,u),universal_class))
| member(X0,complement(universal_class)) ),
inference(superposition,[],[f23,f607]) ).
fof(f607,plain,
intersection(intersection(xr,cross_product(z,y)),cross_product(unordered_pair(u,u),universal_class)) = complement(universal_class),
inference(subsumption_resolution,[],[f603,f334]) ).
fof(f603,plain,
( intersection(intersection(xr,cross_product(z,y)),cross_product(unordered_pair(u,u),universal_class)) = complement(universal_class)
| ~ member(u,universal_class) ),
inference(resolution,[],[f591,f163]) ).
fof(f163,axiom,
~ member(u,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sections_property1_5) ).
fof(f591,plain,
! [X0] :
( member(X0,y)
| ~ member(X0,universal_class)
| complement(universal_class) = intersection(intersection(xr,cross_product(z,y)),cross_product(unordered_pair(X0,X0),universal_class)) ),
inference(resolution,[],[f562,f512]) ).
fof(f512,plain,
! [X0] :
( ~ member(X0,domain_of(intersection(xr,cross_product(z,y))))
| member(X0,y) ),
inference(resolution,[],[f510,f1]) ).
fof(f510,plain,
subclass(domain_of(intersection(xr,cross_product(z,y))),y),
inference(resolution,[],[f216,f159]) ).
fof(f159,axiom,
section(xr,y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_sections_property1_1) ).
fof(f216,plain,
! [X1,X4,X5] :
( ~ section(X5,X1,X4)
| subclass(domain_of(intersection(X5,cross_product(X4,X1))),X1) ),
inference(definition_unfolding,[],[f132,f28]) ).
fof(f28,axiom,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f132,axiom,
! [X1,X4,X5] :
( subclass(domain_of(restrict(X5,X4,X1)),X1)
| ~ section(X5,X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',section2) ).
fof(f562,plain,
! [X0,X4] :
( member(X4,domain_of(X0))
| complement(universal_class) = intersection(X0,cross_product(unordered_pair(X4,X4),universal_class))
| ~ member(X4,universal_class) ),
inference(forward_demodulation,[],[f233,f424]) ).
fof(f424,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f418]) ).
fof(f418,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f266,f333]) ).
fof(f333,plain,
! [X6] :
( member(regular(X6),universal_class)
| null_class = X6 ),
inference(resolution,[],[f283,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f266,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f66,f24]) ).
fof(f233,plain,
! [X0,X4] :
( null_class = intersection(X0,cross_product(unordered_pair(X4,X4),universal_class))
| ~ member(X4,universal_class)
| member(X4,domain_of(X0)) ),
inference(definition_unfolding,[],[f31,f28,f12]) ).
fof(f31,axiom,
! [X0,X4] :
( member(X4,domain_of(X0))
| ~ member(X4,universal_class)
| restrict(X0,singleton(X4),universal_class) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM089-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 05:50:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.54 % (18820)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)
% 0.21/0.55 % (18815)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)
% 0.21/0.55 % (18816)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56 % (18816)Instruction limit reached!
% 0.21/0.56 % (18816)------------------------------
% 0.21/0.56 % (18816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (18832)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)
% 0.21/0.56 % (18831)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)
% 0.21/0.57 % (18823)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)
% 0.21/0.57 % (18828)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)
% 0.21/0.57 % (18824)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)
% 0.21/0.57 % (18816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (18816)Termination reason: Unknown
% 0.21/0.57 % (18816)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (18816)Memory used [KB]: 5628
% 0.21/0.57 % (18816)Time elapsed: 0.006 s
% 0.21/0.57 % (18816)Instructions burned: 8 (million)
% 0.21/0.57 % (18816)------------------------------
% 0.21/0.57 % (18816)------------------------------
% 0.21/0.57 % (18836)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)
% 0.21/0.60 % (18817)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.60 % (18813)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.60 % (18814)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)
% 0.21/0.61 % (18817)Instruction limit reached!
% 0.21/0.61 % (18817)------------------------------
% 0.21/0.61 % (18817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.61 % (18825)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)
% 1.91/0.61 % (18817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.61 % (18817)Termination reason: Unknown
% 1.91/0.61 % (18817)Termination phase: Function definition elimination
% 1.91/0.61
% 1.91/0.61 % (18817)Memory used [KB]: 1023
% 1.91/0.61 % (18817)Time elapsed: 0.004 s
% 1.91/0.61 % (18817)Instructions burned: 3 (million)
% 1.91/0.61 % (18817)------------------------------
% 1.91/0.61 % (18817)------------------------------
% 1.91/0.62 % (18810)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)
% 1.91/0.62 % (18837)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.91/0.62 % (18829)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)
% 1.91/0.62 % (18834)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.91/0.62 % (18833)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.91/0.62 % (18826)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.91/0.62 % (18818)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)
% 1.91/0.63 % (18830)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.91/0.63 % (18838)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)
% 1.91/0.63 % (18822)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.91/0.63 % (18821)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.13/0.64 % (18815)Instruction limit reached!
% 2.13/0.64 % (18815)------------------------------
% 2.13/0.64 % (18815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64 % (18815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64 % (18815)Termination reason: Unknown
% 2.13/0.64 % (18815)Termination phase: Finite model building preprocessing
% 2.13/0.64
% 2.13/0.64 % (18815)Memory used [KB]: 1791
% 2.13/0.64 % (18815)Time elapsed: 0.034 s
% 2.13/0.64 % (18815)Instructions burned: 51 (million)
% 2.13/0.64 % (18815)------------------------------
% 2.13/0.64 % (18815)------------------------------
% 2.13/0.64 % (18811)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)
% 2.24/0.67 % (18831)First to succeed.
% 2.24/0.67 % (18812)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)
% 2.24/0.68 % (18831)Refutation found. Thanks to Tanya!
% 2.24/0.68 % SZS status Unsatisfiable for theBenchmark
% 2.24/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.24/0.68 % (18831)------------------------------
% 2.24/0.68 % (18831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.68 % (18831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.68 % (18831)Termination reason: Refutation
% 2.24/0.68
% 2.24/0.68 % (18831)Memory used [KB]: 1663
% 2.24/0.68 % (18831)Time elapsed: 0.248 s
% 2.24/0.68 % (18831)Instructions burned: 49 (million)
% 2.24/0.68 % (18831)------------------------------
% 2.24/0.68 % (18831)------------------------------
% 2.24/0.68 % (18808)Success in time 0.324 s
%------------------------------------------------------------------------------