TSTP Solution File: SET230-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET230-6 : 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 : n027.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 18:24:14 EDT 2022
% Result : Unsatisfiable 1.71s 0.56s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 55 ( 14 unt; 0 def)
% Number of atoms : 110 ( 28 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 98 ( 43 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f566,plain,
$false,
inference(subsumption_resolution,[],[f565,f490]) ).
fof(f490,plain,
u != complement(universal_class),
inference(backward_demodulation,[],[f114,f488]) ).
fof(f488,plain,
w = complement(universal_class),
inference(subsumption_resolution,[],[f486,f468]) ).
fof(f468,plain,
member(not_subclass_element(u,w),u),
inference(subsumption_resolution,[],[f466,f235]) ).
fof(f235,plain,
( ~ member(not_subclass_element(w,u),u)
| member(not_subclass_element(u,w),u) ),
inference(resolution,[],[f232,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f232,plain,
( ~ subclass(u,w)
| ~ member(not_subclass_element(w,u),u) ),
inference(resolution,[],[f216,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f216,plain,
( ~ subclass(w,u)
| ~ subclass(u,w) ),
inference(extensionality_resolution,[],[f7,f114]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| X0 = X1
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f466,plain,
( member(not_subclass_element(w,u),u)
| member(not_subclass_element(u,w),u) ),
inference(duplicate_literal_removal,[],[f462]) ).
fof(f462,plain,
( member(not_subclass_element(u,w),u)
| member(not_subclass_element(u,w),u)
| member(not_subclass_element(w,u),u) ),
inference(resolution,[],[f440,f237]) ).
fof(f237,plain,
( member(not_subclass_element(w,u),w)
| member(not_subclass_element(u,w),u) ),
inference(resolution,[],[f233,f2]) ).
fof(f233,plain,
( ~ subclass(u,w)
| member(not_subclass_element(w,u),w) ),
inference(resolution,[],[f216,f2]) ).
fof(f440,plain,
! [X0] :
( ~ member(X0,w)
| member(not_subclass_element(u,w),u)
| member(X0,u) ),
inference(resolution,[],[f436,f237]) ).
fof(f436,plain,
! [X4,X5] :
( ~ member(X4,w)
| ~ member(X5,w)
| member(X5,u) ),
inference(resolution,[],[f433,f176]) ).
fof(f176,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) ),
inference(definition_unfolding,[],[f15,f119]) ).
fof(f119,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/sandbox/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/sandbox/benchmark/theBenchmark.p',ordered_pair) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( member(X3,X1)
| ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f433,plain,
! [X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(u,u))
| ~ member(X0,w)
| ~ member(X1,w) ),
inference(superposition,[],[f134,f113]) ).
fof(f113,axiom,
cross_product(u,u) = cross_product(w,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_cross_product_cancellation_1) ).
fof(f134,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,f119]) ).
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/sandbox/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f486,plain,
( w = complement(universal_class)
| ~ member(not_subclass_element(u,w),u) ),
inference(duplicate_literal_removal,[],[f483]) ).
fof(f483,plain,
( w = complement(universal_class)
| ~ member(not_subclass_element(u,w),u)
| w = complement(universal_class) ),
inference(resolution,[],[f454,f452]) ).
fof(f452,plain,
( ~ member(not_subclass_element(u,w),w)
| w = complement(universal_class) ),
inference(subsumption_resolution,[],[f448,f234]) ).
fof(f234,plain,
( ~ member(not_subclass_element(w,u),u)
| ~ member(not_subclass_element(u,w),w) ),
inference(resolution,[],[f232,f3]) ).
fof(f448,plain,
( w = complement(universal_class)
| member(not_subclass_element(w,u),u)
| ~ member(not_subclass_element(u,w),w) ),
inference(resolution,[],[f442,f236]) ).
fof(f236,plain,
( member(not_subclass_element(w,u),w)
| ~ member(not_subclass_element(u,w),w) ),
inference(resolution,[],[f233,f3]) ).
fof(f442,plain,
! [X2] :
( ~ member(X2,w)
| w = complement(universal_class)
| member(X2,u) ),
inference(resolution,[],[f436,f302]) ).
fof(f302,plain,
! [X0] :
( member(regular(X0),X0)
| complement(universal_class) = X0 ),
inference(backward_demodulation,[],[f66,f299]) ).
fof(f299,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f295]) ).
fof(f295,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f184,f207]) ).
fof(f207,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f193,f66]) ).
fof(f193,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/sandbox/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/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f184,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f66,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f454,plain,
! [X0] :
( member(X0,w)
| ~ member(X0,u)
| w = complement(universal_class) ),
inference(resolution,[],[f451,f430]) ).
fof(f430,plain,
! [X8,X9] :
( ~ member(X9,u)
| member(X8,w)
| ~ member(X8,u) ),
inference(resolution,[],[f134,f391]) ).
fof(f391,plain,
! [X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(u,u))
| member(X1,w) ),
inference(superposition,[],[f176,f113]) ).
fof(f451,plain,
( member(regular(w),u)
| w = complement(universal_class) ),
inference(duplicate_literal_removal,[],[f450]) ).
fof(f450,plain,
( w = complement(universal_class)
| w = complement(universal_class)
| member(regular(w),u) ),
inference(resolution,[],[f442,f302]) ).
fof(f114,axiom,
u != w,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_cross_product_cancellation_2) ).
fof(f565,plain,
u = complement(universal_class),
inference(resolution,[],[f563,f306]) ).
fof(f306,plain,
! [X0] :
( member(regular(X0),universal_class)
| complement(universal_class) = X0 ),
inference(backward_demodulation,[],[f207,f299]) ).
fof(f563,plain,
~ member(regular(u),universal_class),
inference(resolution,[],[f562,f24]) ).
fof(f562,plain,
member(regular(u),complement(universal_class)),
inference(subsumption_resolution,[],[f561,f490]) ).
fof(f561,plain,
( member(regular(u),complement(universal_class))
| u = complement(universal_class) ),
inference(resolution,[],[f549,f302]) ).
fof(f549,plain,
! [X0] :
( ~ member(X0,u)
| member(X0,complement(universal_class)) ),
inference(forward_demodulation,[],[f476,f488]) ).
fof(f476,plain,
! [X0] :
( member(X0,w)
| ~ member(X0,u) ),
inference(resolution,[],[f468,f430]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET230-6 : 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
% 0.10/0.31 % Computer : n027.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 13:45:01 EDT 2022
% 0.15/0.31 % CPUTime :
% 0.15/0.46 % (10201)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.47 % (10207)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)
% 0.15/0.47 % (10209)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)
% 0.15/0.47 % (10199)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)
% 0.15/0.47 % (10208)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)
% 0.15/0.47 % (10200)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.48 % (10217)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.48 % (10201)Instruction limit reached!
% 0.15/0.48 % (10201)------------------------------
% 0.15/0.48 % (10201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (10201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (10201)Termination reason: Unknown
% 0.15/0.48 % (10201)Termination phase: Function definition elimination
% 0.15/0.48
% 0.15/0.48 % (10201)Memory used [KB]: 895
% 0.15/0.48 % (10201)Time elapsed: 0.004 s
% 0.15/0.48 % (10201)Instructions burned: 2 (million)
% 0.15/0.48 % (10201)------------------------------
% 0.15/0.48 % (10201)------------------------------
% 0.15/0.49 % (10200)Instruction limit reached!
% 0.15/0.49 % (10200)------------------------------
% 0.15/0.49 % (10200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (10200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (10200)Termination reason: Unknown
% 0.15/0.49 % (10200)Termination phase: Saturation
% 0.15/0.49
% 0.15/0.49 % (10200)Memory used [KB]: 5628
% 0.15/0.49 % (10200)Time elapsed: 0.111 s
% 0.15/0.49 % (10200)Instructions burned: 7 (million)
% 0.15/0.49 % (10200)------------------------------
% 0.15/0.49 % (10200)------------------------------
% 0.15/0.49 % (10216)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)
% 0.15/0.50 % (10215)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)
% 0.15/0.50 % (10196)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)
% 0.15/0.52 % (10220)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)
% 0.15/0.52 % (10206)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.52 % (10195)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)
% 0.15/0.52 % (10205)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.53 % (10198)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)
% 0.15/0.53 % (10197)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.53 % (10203)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.53 % (10204)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)
% 0.15/0.53 % (10222)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)
% 0.15/0.54 % (10221)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.15/0.54 % (10212)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)
% 0.15/0.54 % (10211)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.54 % (10214)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.15/0.54 % (10213)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)
% 1.71/0.55 % (10215)First to succeed.
% 1.71/0.55 % (10199)Instruction limit reached!
% 1.71/0.55 % (10199)------------------------------
% 1.71/0.55 % (10199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.55 % (10199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.55 % (10199)Termination reason: Unknown
% 1.71/0.55 % (10199)Termination phase: Finite model building preprocessing
% 1.71/0.55
% 1.71/0.55 % (10199)Memory used [KB]: 1535
% 1.71/0.55 % (10199)Time elapsed: 0.032 s
% 1.71/0.55 % (10199)Instructions burned: 52 (million)
% 1.71/0.55 % (10199)------------------------------
% 1.71/0.55 % (10199)------------------------------
% 1.71/0.56 % (10219)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)
% 1.71/0.56 % (10215)Refutation found. Thanks to Tanya!
% 1.71/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.71/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.71/0.56 % (10215)------------------------------
% 1.71/0.56 % (10215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.56 % (10215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.56 % (10215)Termination reason: Refutation
% 1.71/0.56
% 1.71/0.56 % (10215)Memory used [KB]: 1279
% 1.71/0.56 % (10215)Time elapsed: 0.182 s
% 1.71/0.56 % (10215)Instructions burned: 28 (million)
% 1.71/0.56 % (10215)------------------------------
% 1.71/0.56 % (10215)------------------------------
% 1.71/0.56 % (10192)Success in time 0.237 s
%------------------------------------------------------------------------------