TSTP Solution File: REL046+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : REL046+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n018.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 18:13:23 EDT 2022
% Result : Theorem 0.16s 0.51s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 23 unt; 0 def)
% Number of atoms : 59 ( 49 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 40 ( 17 ~; 9 |; 8 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 41 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f155,plain,
$false,
inference(avatar_sat_refutation,[],[f59,f125,f153]) ).
fof(f153,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f152]) ).
fof(f152,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f147,f54]) ).
fof(f54,plain,
( sK1 != join(sK0,sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl3_1
<=> sK1 = join(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f147,plain,
sK1 = join(sK0,sK1),
inference(superposition,[],[f113,f45]) ).
fof(f45,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X1,X0] : join(complement(join(complement(X1),complement(X0))),complement(join(complement(X1),X0))) = X1,
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f113,plain,
! [X0] : join(sK0,join(complement(join(complement(sK1),complement(sK2))),X0)) = join(complement(join(complement(sK1),complement(sK2))),X0),
inference(superposition,[],[f42,f63]) ).
fof(f63,plain,
complement(join(complement(sK1),complement(sK2))) = join(sK0,complement(join(complement(sK1),complement(sK2)))),
inference(superposition,[],[f49,f43]) ).
fof(f43,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f49,plain,
complement(join(complement(sK2),complement(sK1))) = join(sK0,complement(join(complement(sK2),complement(sK1)))),
inference(definition_unfolding,[],[f35,f38,f38]) ).
fof(f38,plain,
! [X0,X1] : complement(join(complement(X1),complement(X0))) = meet(X1,X0),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] : complement(join(complement(X1),complement(X0))) = meet(X1,X0),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f35,plain,
join(sK0,meet(sK2,sK1)) = meet(sK2,sK1),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( sK1 != join(sK0,sK1)
| sK2 != join(sK0,sK2) )
& join(sK0,meet(sK2,sK1)) = meet(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f24,f25]) ).
fof(f25,plain,
( ? [X0,X1,X2] :
( ( join(X0,X1) != X1
| join(X0,X2) != X2 )
& meet(X2,X1) = join(X0,meet(X2,X1)) )
=> ( ( sK1 != join(sK0,sK1)
| sK2 != join(sK0,sK2) )
& join(sK0,meet(sK2,sK1)) = meet(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
? [X0,X1,X2] :
( ( join(X0,X1) != X1
| join(X0,X2) != X2 )
& meet(X2,X1) = join(X0,meet(X2,X1)) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
? [X1,X0,X2] :
( ( join(X1,X0) != X0
| join(X1,X2) != X2 )
& join(X1,meet(X2,X0)) = meet(X2,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1,X2] :
( join(X1,meet(X2,X0)) = meet(X2,X0)
=> ( join(X1,X0) = X0
& join(X1,X2) = X2 ) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X2,X0,X1] :
( meet(X1,X2) = join(X0,meet(X1,X2))
=> ( join(X0,X1) = X1
& join(X0,X2) = X2 ) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X2,X0,X1] :
( meet(X1,X2) = join(X0,meet(X1,X2))
=> ( join(X0,X1) = X1
& join(X0,X2) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f42,plain,
! [X2,X0,X1] : join(X0,join(X2,X1)) = join(join(X0,X2),X1),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] : join(X0,join(X2,X1)) = join(join(X0,X2),X1),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X1,X2,X0] : join(join(X1,X0),X2) = join(X1,join(X0,X2)),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f125,plain,
spl3_2,
inference(avatar_split_clause,[],[f120,f56]) ).
fof(f56,plain,
( spl3_2
<=> sK2 = join(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f120,plain,
sK2 = join(sK0,sK2),
inference(superposition,[],[f67,f45]) ).
fof(f67,plain,
! [X0] : join(sK0,join(complement(join(complement(sK2),complement(sK1))),X0)) = join(complement(join(complement(sK2),complement(sK1))),X0),
inference(superposition,[],[f42,f49]) ).
fof(f59,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f36,f56,f52]) ).
fof(f36,plain,
( sK2 != join(sK0,sK2)
| sK1 != join(sK0,sK1) ),
inference(cnf_transformation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : REL046+1 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32 % Computer : n018.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 11:39:10 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.48 % (8218)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.16/0.48 % (8217)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.48 % (8216)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.49 % (8232)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.16/0.49 % (8225)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.49 % (8233)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.16/0.50 % (8226)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.50 % (8234)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.50 % (8224)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.50 % (8213)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.50 % (8226)First to succeed.
% 0.16/0.50 % (8212)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.50 % (8225)Instruction limit reached!
% 0.16/0.50 % (8225)------------------------------
% 0.16/0.50 % (8225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (8234)Refutation not found, incomplete strategy% (8234)------------------------------
% 0.16/0.50 % (8234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (8234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (8234)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.50
% 0.16/0.50 % (8234)Memory used [KB]: 5884
% 0.16/0.50 % (8234)Time elapsed: 0.122 s
% 0.16/0.50 % (8234)Instructions burned: 3 (million)
% 0.16/0.50 % (8234)------------------------------
% 0.16/0.50 % (8234)------------------------------
% 0.16/0.50 % (8225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (8225)Termination reason: Unknown
% 0.16/0.50 % (8225)Termination phase: Saturation
% 0.16/0.50
% 0.16/0.50 % (8225)Memory used [KB]: 6012
% 0.16/0.50 % (8225)Time elapsed: 0.122 s
% 0.16/0.50 % (8225)Instructions burned: 7 (million)
% 0.16/0.50 % (8225)------------------------------
% 0.16/0.50 % (8225)------------------------------
% 0.16/0.50 % (8212)Instruction limit reached!
% 0.16/0.50 % (8212)------------------------------
% 0.16/0.50 % (8212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (8212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (8212)Termination reason: Unknown
% 0.16/0.50 % (8212)Termination phase: Saturation
% 0.16/0.50
% 0.16/0.50 % (8212)Memory used [KB]: 5884
% 0.16/0.50 % (8212)Time elapsed: 0.124 s
% 0.16/0.50 % (8212)Instructions burned: 4 (million)
% 0.16/0.50 % (8212)------------------------------
% 0.16/0.50 % (8212)------------------------------
% 0.16/0.51 % (8226)Refutation found. Thanks to Tanya!
% 0.16/0.51 % SZS status Theorem for theBenchmark
% 0.16/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.51 % (8226)------------------------------
% 0.16/0.51 % (8226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (8226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (8226)Termination reason: Refutation
% 0.16/0.51
% 0.16/0.51 % (8226)Memory used [KB]: 6140
% 0.16/0.51 % (8226)Time elapsed: 0.124 s
% 0.16/0.51 % (8226)Instructions burned: 5 (million)
% 0.16/0.51 % (8226)------------------------------
% 0.16/0.51 % (8226)------------------------------
% 0.16/0.51 % (8209)Success in time 0.183 s
%------------------------------------------------------------------------------