TSTP Solution File: NUM154-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM154-1 : 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 : n001.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 18:03:34 EDT 2022
% Result : Unsatisfiable 1.58s 0.58s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 56 ( 19 unt; 0 def)
% Number of atoms : 103 ( 32 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 79 ( 32 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f684,plain,
$false,
inference(subsumption_resolution,[],[f683,f651]) ).
fof(f651,plain,
! [X1] : ~ member(X1,complement(universal_class)),
inference(backward_demodulation,[],[f581,f646]) ).
fof(f646,plain,
x = complement(universal_class),
inference(subsumption_resolution,[],[f644,f525]) ).
fof(f525,plain,
( member(regular(x),universal_class)
| x = complement(universal_class) ),
inference(backward_demodulation,[],[f337,f495]) ).
fof(f495,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f483]) ).
fof(f483,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f263,f312]) ).
fof(f312,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f276,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f276,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(f263,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/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f337,plain,
( member(regular(x),universal_class)
| null_class = x ),
inference(resolution,[],[f332,f276]) ).
fof(f332,plain,
( member(regular(x),null_class)
| null_class = x ),
inference(resolution,[],[f331,f66]) ).
fof(f331,plain,
! [X0] :
( ~ member(X0,x)
| member(X0,null_class) ),
inference(subsumption_resolution,[],[f329,f276]) ).
fof(f329,plain,
! [X0] :
( member(X0,null_class)
| ~ member(X0,universal_class)
| ~ member(X0,x) ),
inference(resolution,[],[f327,f24]) ).
fof(f327,plain,
! [X2] :
( member(X2,complement(x))
| ~ member(X2,universal_class)
| member(X2,null_class) ),
inference(resolution,[],[f324,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f324,plain,
! [X0] :
( member(X0,intersection(complement(x),complement(unordered_pair(x,x))))
| ~ member(X0,universal_class)
| member(X0,null_class) ),
inference(superposition,[],[f25,f237]) ).
fof(f237,plain,
null_class = complement(intersection(complement(x),complement(unordered_pair(x,x)))),
inference(definition_unfolding,[],[f159,f165]) ).
fof(f165,plain,
! [X0] : successor(X0) = complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),
inference(definition_unfolding,[],[f43,f26,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f43,axiom,
! [X0] : union(X0,singleton(X0)) = successor(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor) ).
fof(f159,axiom,
null_class = successor(x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_5_to_successor_property1_1) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f644,plain,
( ~ member(regular(x),universal_class)
| x = complement(universal_class) ),
inference(resolution,[],[f566,f24]) ).
fof(f566,plain,
( member(regular(x),complement(universal_class))
| x = complement(universal_class) ),
inference(forward_demodulation,[],[f522,f495]) ).
fof(f522,plain,
( x = complement(universal_class)
| member(regular(x),null_class) ),
inference(backward_demodulation,[],[f332,f495]) ).
fof(f581,plain,
! [X1] : ~ member(X1,x),
inference(subsumption_resolution,[],[f580,f276]) ).
fof(f580,plain,
! [X1] :
( ~ member(X1,universal_class)
| ~ member(X1,x) ),
inference(superposition,[],[f24,f554]) ).
fof(f554,plain,
universal_class = complement(x),
inference(subsumption_resolution,[],[f553,f360]) ).
fof(f360,plain,
! [X1] :
( member(not_subclass_element(universal_class,X1),universal_class)
| universal_class = X1 ),
inference(resolution,[],[f293,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f293,plain,
! [X0] :
( ~ subclass(universal_class,X0)
| universal_class = X0 ),
inference(resolution,[],[f7,f4]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f553,plain,
( universal_class = complement(x)
| ~ member(not_subclass_element(universal_class,complement(x)),universal_class) ),
inference(subsumption_resolution,[],[f545,f24]) ).
fof(f545,plain,
( member(not_subclass_element(universal_class,complement(x)),complement(universal_class))
| universal_class = complement(x)
| ~ member(not_subclass_element(universal_class,complement(x)),universal_class) ),
inference(backward_demodulation,[],[f455,f495]) ).
fof(f455,plain,
( member(not_subclass_element(universal_class,complement(x)),null_class)
| ~ member(not_subclass_element(universal_class,complement(x)),universal_class)
| universal_class = complement(x) ),
inference(resolution,[],[f359,f327]) ).
fof(f359,plain,
! [X0] :
( ~ member(not_subclass_element(universal_class,X0),X0)
| universal_class = X0 ),
inference(resolution,[],[f293,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f683,plain,
member(complement(universal_class),complement(universal_class)),
inference(superposition,[],[f678,f665]) ).
fof(f665,plain,
complement(universal_class) = unordered_pair(complement(universal_class),complement(universal_class)),
inference(forward_demodulation,[],[f664,f646]) ).
fof(f664,plain,
complement(universal_class) = unordered_pair(x,x),
inference(subsumption_resolution,[],[f568,f651]) ).
fof(f568,plain,
( member(regular(unordered_pair(x,x)),complement(universal_class))
| complement(universal_class) = unordered_pair(x,x) ),
inference(forward_demodulation,[],[f524,f495]) ).
fof(f524,plain,
( complement(universal_class) = unordered_pair(x,x)
| member(regular(unordered_pair(x,x)),null_class) ),
inference(backward_demodulation,[],[f336,f495]) ).
fof(f336,plain,
( member(regular(unordered_pair(x,x)),null_class)
| null_class = unordered_pair(x,x) ),
inference(resolution,[],[f335,f66]) ).
fof(f335,plain,
! [X0] :
( ~ member(X0,unordered_pair(x,x))
| member(X0,null_class) ),
inference(subsumption_resolution,[],[f333,f276]) ).
fof(f333,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,null_class)
| ~ member(X0,unordered_pair(x,x)) ),
inference(resolution,[],[f326,f24]) ).
fof(f326,plain,
! [X1] :
( member(X1,complement(unordered_pair(x,x)))
| ~ member(X1,universal_class)
| member(X1,null_class) ),
inference(resolution,[],[f324,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f678,plain,
! [X0] : member(complement(universal_class),unordered_pair(X0,complement(universal_class))),
inference(resolution,[],[f675,f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ~ member(X1,universal_class)
| member(X1,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f675,plain,
member(complement(universal_class),universal_class),
inference(superposition,[],[f11,f665]) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM154-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 06:26:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.47 % (24290)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)
% 0.18/0.49 % (24307)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)
% 0.18/0.49 % (24294)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49 % (24293)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)
% 0.18/0.49 % (24298)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (24317)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.50 % (24298)Instruction limit reached!
% 0.18/0.50 % (24298)------------------------------
% 0.18/0.50 % (24298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (24312)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)
% 0.18/0.50 % (24301)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)
% 0.18/0.51 % (24316)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)
% 0.18/0.51 % (24296)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)
% 0.18/0.51 % (24311)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)
% 0.18/0.51 % (24319)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)
% 0.18/0.51 % (24298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (24298)Termination reason: Unknown
% 0.18/0.51 % (24298)Termination phase: Property scanning
% 0.18/0.51
% 0.18/0.51 % (24298)Memory used [KB]: 1023
% 0.18/0.51 % (24298)Time elapsed: 0.004 s
% 0.18/0.51 % (24298)Instructions burned: 4 (million)
% 0.18/0.51 % (24298)------------------------------
% 0.18/0.51 % (24298)------------------------------
% 0.18/0.52 % (24306)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)
% 0.18/0.52 % (24292)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)
% 0.18/0.52 % (24308)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.52 % (24318)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52 % (24291)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)
% 0.18/0.52 % (24320)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)
% 0.18/0.52 % (24297)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52 % (24315)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)
% 0.18/0.52 % (24300)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (24297)Instruction limit reached!
% 0.18/0.52 % (24297)------------------------------
% 0.18/0.52 % (24297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (24297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (24297)Termination reason: Unknown
% 0.18/0.52 % (24297)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (24297)Memory used [KB]: 5628
% 0.18/0.52 % (24297)Time elapsed: 0.082 s
% 0.18/0.52 % (24297)Instructions burned: 8 (million)
% 0.18/0.52 % (24297)------------------------------
% 0.18/0.52 % (24297)------------------------------
% 0.18/0.52 % (24299)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)
% 0.18/0.53 % (24295)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)
% 0.18/0.53 % (24321)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53 % (24304)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)
% 0.18/0.53 % (24302)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.53 % (24309)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.46/0.54 % (24322)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)
% 1.46/0.54 % (24314)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.46/0.55 % (24303)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.58/0.56 % (24292)Instruction limit reached!
% 1.58/0.56 % (24292)------------------------------
% 1.58/0.56 % (24292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.57 % (24296)Instruction limit reached!
% 1.58/0.57 % (24296)------------------------------
% 1.58/0.57 % (24296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.57 % (24296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.57 % (24296)Termination reason: Unknown
% 1.58/0.57 % (24296)Termination phase: Finite model building preprocessing
% 1.58/0.57
% 1.58/0.57 % (24296)Memory used [KB]: 1791
% 1.58/0.57 % (24296)Time elapsed: 0.021 s
% 1.58/0.57 % (24296)Instructions burned: 51 (million)
% 1.58/0.57 % (24296)------------------------------
% 1.58/0.57 % (24296)------------------------------
% 1.58/0.57 % (24292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.57 % (24292)Termination reason: Unknown
% 1.58/0.57 % (24292)Termination phase: Saturation
% 1.58/0.57
% 1.58/0.57 % (24292)Memory used [KB]: 1663
% 1.58/0.57 % (24292)Time elapsed: 0.165 s
% 1.58/0.57 % (24292)Instructions burned: 38 (million)
% 1.58/0.57 % (24292)------------------------------
% 1.58/0.57 % (24292)------------------------------
% 1.58/0.58 % (24315)First to succeed.
% 1.58/0.58 % (24315)Refutation found. Thanks to Tanya!
% 1.58/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.58/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.58 % (24315)------------------------------
% 1.58/0.58 % (24315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.58 % (24315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.58 % (24315)Termination reason: Refutation
% 1.58/0.58
% 1.58/0.58 % (24315)Memory used [KB]: 1407
% 1.58/0.58 % (24315)Time elapsed: 0.167 s
% 1.58/0.58 % (24315)Instructions burned: 29 (million)
% 1.58/0.58 % (24315)------------------------------
% 1.58/0.58 % (24315)------------------------------
% 1.58/0.58 % (24284)Success in time 0.236 s
%------------------------------------------------------------------------------