TSTP Solution File: NUM143-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM143-1 : 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 : n029.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 18:03:33 EDT 2022
% Result : Unsatisfiable 0.16s 0.54s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 36 ( 15 unt; 0 def)
% Number of atoms : 61 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 31 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f393,plain,
$false,
inference(subsumption_resolution,[],[f391,f330]) ).
fof(f330,plain,
member(not_subclass_element(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)),x),
inference(subsumption_resolution,[],[f328,f325]) ).
fof(f325,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x),x),x)
| member(not_subclass_element(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)),x) ),
inference(resolution,[],[f322,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(f322,plain,
( ~ subclass(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x))
| ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x),x),x) ),
inference(resolution,[],[f303,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(f303,plain,
( ~ subclass(intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x),x)
| ~ subclass(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)) ),
inference(extensionality_resolution,[],[f7,f228]) ).
fof(f228,plain,
x != intersection(complement(intersection(complement(x),complement(unordered_pair(x,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/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f43,axiom,
! [X0] : union(X0,singleton(X0)) = successor(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor) ).
fof(f159,axiom,
x != intersection(successor(x),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_successor_of_set_is_set_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| X0 = X1
| ~ subclass(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f328,plain,
( member(not_subclass_element(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)),x)
| member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x),x),x) ),
inference(resolution,[],[f327,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f327,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x),x),intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x))
| member(not_subclass_element(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)),x) ),
inference(resolution,[],[f323,f2]) ).
fof(f323,plain,
( ~ subclass(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x))
| member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x),x),intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)) ),
inference(resolution,[],[f303,f2]) ).
fof(f391,plain,
~ member(not_subclass_element(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)),x),
inference(resolution,[],[f389,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f389,plain,
member(not_subclass_element(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)),complement(x)),
inference(resolution,[],[f387,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f387,plain,
member(not_subclass_element(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)),intersection(complement(x),complement(unordered_pair(x,x)))),
inference(subsumption_resolution,[],[f386,f344]) ).
fof(f344,plain,
member(not_subclass_element(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)),universal_class),
inference(resolution,[],[f286,f330]) ).
fof(f286,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,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f386,plain,
( member(not_subclass_element(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)),intersection(complement(x),complement(unordered_pair(x,x))))
| ~ member(not_subclass_element(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)),universal_class) ),
inference(resolution,[],[f385,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| ~ member(X4,universal_class)
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f385,plain,
~ member(not_subclass_element(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)),complement(intersection(complement(x),complement(unordered_pair(x,x))))),
inference(subsumption_resolution,[],[f382,f330]) ).
fof(f382,plain,
( ~ member(not_subclass_element(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)),complement(intersection(complement(x),complement(unordered_pair(x,x)))))
| ~ member(not_subclass_element(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)),x) ),
inference(resolution,[],[f23,f333]) ).
fof(f333,plain,
~ member(not_subclass_element(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)),intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)),
inference(subsumption_resolution,[],[f331,f324]) ).
fof(f324,plain,
( ~ member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x),x),x)
| ~ member(not_subclass_element(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)),intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)) ),
inference(resolution,[],[f322,f3]) ).
fof(f331,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x),x),x)
| ~ member(not_subclass_element(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)),intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)) ),
inference(resolution,[],[f326,f22]) ).
fof(f326,plain,
( member(not_subclass_element(intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x),x),intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x))
| ~ member(not_subclass_element(x,intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)),intersection(complement(intersection(complement(x),complement(unordered_pair(x,x)))),x)) ),
inference(resolution,[],[f323,f3]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM143-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 06:13:12 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.16/0.48 % (28619)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)
% 0.16/0.48 % (28621)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.48 % (28636)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)
% 0.16/0.49 % (28629)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)
% 0.16/0.49 % (28621)Instruction limit reached!
% 0.16/0.49 % (28621)------------------------------
% 0.16/0.49 % (28621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (28620)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)
% 0.16/0.49 % (28635)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.49 % (28637)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)
% 0.16/0.49 % (28621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (28621)Termination reason: Unknown
% 0.16/0.49 % (28621)Termination phase: Saturation
% 0.16/0.49
% 0.16/0.49 % (28621)Memory used [KB]: 5628
% 0.16/0.49 % (28621)Time elapsed: 0.006 s
% 0.16/0.49 % (28621)Instructions burned: 8 (million)
% 0.16/0.49 % (28621)------------------------------
% 0.16/0.49 % (28621)------------------------------
% 0.16/0.51 % (28628)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)
% 0.16/0.51 % (28627)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.52 % (28616)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)
% 0.16/0.52 % (28617)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)
% 0.16/0.52 % (28622)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.52 % (28622)Instruction limit reached!
% 0.16/0.52 % (28622)------------------------------
% 0.16/0.52 % (28622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52 % (28622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52 % (28622)Termination reason: Unknown
% 0.16/0.52 % (28622)Termination phase: Function definition elimination
% 0.16/0.52
% 0.16/0.52 % (28622)Memory used [KB]: 1023
% 0.16/0.52 % (28622)Time elapsed: 0.003 s
% 0.16/0.52 % (28622)Instructions burned: 3 (million)
% 0.16/0.52 % (28622)------------------------------
% 0.16/0.52 % (28622)------------------------------
% 0.16/0.53 % (28639)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.54 % (28636)First to succeed.
% 0.16/0.54 % (28636)Refutation found. Thanks to Tanya!
% 0.16/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.54 % (28636)------------------------------
% 0.16/0.54 % (28636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (28636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (28636)Termination reason: Refutation
% 0.16/0.54
% 0.16/0.54 % (28636)Memory used [KB]: 1279
% 0.16/0.54 % (28636)Time elapsed: 0.126 s
% 0.16/0.54 % (28636)Instructions burned: 16 (million)
% 0.16/0.54 % (28636)------------------------------
% 0.16/0.54 % (28636)------------------------------
% 0.16/0.54 % (28613)Success in time 0.211 s
%------------------------------------------------------------------------------