TSTP Solution File: SET064-6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET064-6 : 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_uns --cores 0 -t %d %s
% Computer : n004.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 18:18:52 EDT 2022
% Result : Unsatisfiable 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 35 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f279,plain,
$false,
inference(subsumption_resolution,[],[f277,f263]) ).
fof(f263,plain,
member(not_subclass_element(complement(universal_class),z),universal_class),
inference(backward_demodulation,[],[f190,f244]) ).
fof(f244,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f240]) ).
fof(f240,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f148,f167]) ).
fof(f167,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f157,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f157,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,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f148,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(f190,plain,
member(not_subclass_element(null_class,z),universal_class),
inference(resolution,[],[f189,f157]) ).
fof(f189,plain,
member(not_subclass_element(null_class,z),null_class),
inference(resolution,[],[f187,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(f187,plain,
~ subclass(null_class,z),
inference(subsumption_resolution,[],[f186,f93]) ).
fof(f93,axiom,
~ member(not_subclass_element(z,null_class),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_unique_2) ).
fof(f186,plain,
( ~ subclass(null_class,z)
| member(not_subclass_element(z,null_class),z) ),
inference(resolution,[],[f173,f2]) ).
fof(f173,plain,
( ~ subclass(z,null_class)
| ~ subclass(null_class,z) ),
inference(extensionality_resolution,[],[f7,f92]) ).
fof(f92,axiom,
null_class != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_unique_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f277,plain,
~ member(not_subclass_element(complement(universal_class),z),universal_class),
inference(resolution,[],[f262,f24]) ).
fof(f262,plain,
member(not_subclass_element(complement(universal_class),z),complement(universal_class)),
inference(backward_demodulation,[],[f189,f244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET064-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 13:02:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.52 % (4493)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.53 % (4487)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.53 % (4478)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53 % (4478)Instruction limit reached!
% 0.21/0.53 % (4478)------------------------------
% 0.21/0.53 % (4478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (4478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (4478)Termination reason: Unknown
% 0.21/0.53 % (4478)Termination phase: Function definition elimination
% 0.21/0.53
% 0.21/0.53 % (4478)Memory used [KB]: 1407
% 0.21/0.53 % (4478)Time elapsed: 0.004 s
% 0.21/0.53 % (4478)Instructions burned: 3 (million)
% 0.21/0.53 % (4478)------------------------------
% 0.21/0.53 % (4478)------------------------------
% 0.21/0.53 % (4471)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (4485)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.53 % (4471)Refutation not found, incomplete strategy% (4471)------------------------------
% 0.21/0.53 % (4471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (4470)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.54 % (4471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (4471)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (4471)Memory used [KB]: 5884
% 0.21/0.54 % (4471)Time elapsed: 0.072 s
% 0.21/0.54 % (4471)Instructions burned: 2 (million)
% 0.21/0.54 % (4471)------------------------------
% 0.21/0.54 % (4471)------------------------------
% 0.21/0.54 % (4466)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.54 % (4464)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.54 % (4470)First to succeed.
% 0.21/0.54 % (4463)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.54 % (4467)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.55 % (4467)Refutation not found, incomplete strategy% (4467)------------------------------
% 0.21/0.55 % (4467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (4467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (4467)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55
% 0.21/0.55 % (4467)Memory used [KB]: 5884
% 0.21/0.55 % (4467)Time elapsed: 0.132 s
% 0.21/0.55 % (4467)Instructions burned: 1 (million)
% 0.21/0.55 % (4467)------------------------------
% 0.21/0.55 % (4467)------------------------------
% 0.21/0.55 % (4487)Also succeeded, but the first one will report.
% 0.21/0.55 % (4470)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (4470)------------------------------
% 0.21/0.55 % (4470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (4470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (4470)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (4470)Memory used [KB]: 1535
% 0.21/0.55 % (4470)Time elapsed: 0.126 s
% 0.21/0.55 % (4470)Instructions burned: 12 (million)
% 0.21/0.55 % (4470)------------------------------
% 0.21/0.55 % (4470)------------------------------
% 0.21/0.55 % (4455)Success in time 0.184 s
%------------------------------------------------------------------------------