TSTP Solution File: SET788+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET788+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n021.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 18:22:16 EDT 2022
% Result : Theorem 0.14s 0.46s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 1 unt; 0 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 166 ( 59 ~; 68 |; 20 &)
% ( 13 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 64 ( 53 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f74,plain,
$false,
inference(avatar_sat_refutation,[],[f24,f25,f71,f73]) ).
fof(f73,plain,
( spl3_2
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f72,f17,f21]) ).
fof(f21,plain,
( spl3_2
<=> equalish(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f17,plain,
( spl3_1
<=> equalish(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f72,plain,
( equalish(sK2,sK1)
| ~ spl3_1 ),
inference(resolution,[],[f19,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(subsumption_resolution,[],[f61,f52]) ).
fof(f52,plain,
! [X0,X1] :
( a_member_of(sK0(X0,X1),X0)
| ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(factoring,[],[f27]) ).
fof(f27,plain,
! [X3,X4,X5] :
( a_member_of(sK0(X4,X3),X5)
| equalish(X3,X4)
| a_member_of(sK0(X4,X3),X4)
| ~ equalish(X5,X3) ),
inference(resolution,[],[f14,f12]) ).
fof(f12,plain,
! [X3,X0,X1] :
( ~ a_member_of(X3,X0)
| ~ equalish(X1,X0)
| a_member_of(X3,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X0,X1] :
( ( equalish(X1,X0)
| ( ( ~ a_member_of(sK0(X0,X1),X1)
| ~ a_member_of(sK0(X0,X1),X0) )
& ( a_member_of(sK0(X0,X1),X1)
| a_member_of(sK0(X0,X1),X0) ) ) )
& ( ! [X3] :
( ( a_member_of(X3,X0)
| ~ a_member_of(X3,X1) )
& ( a_member_of(X3,X1)
| ~ a_member_of(X3,X0) ) )
| ~ equalish(X1,X0) ) )
& ( ~ equalish(sK1,sK2)
| ~ equalish(sK2,sK1) )
& ( equalish(sK1,sK2)
| equalish(sK2,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f8,f7]) ).
fof(f7,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ a_member_of(X2,X1)
| ~ a_member_of(X2,X0) )
& ( a_member_of(X2,X1)
| a_member_of(X2,X0) ) )
=> ( ( ~ a_member_of(sK0(X0,X1),X1)
| ~ a_member_of(sK0(X0,X1),X0) )
& ( a_member_of(sK0(X0,X1),X1)
| a_member_of(sK0(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X4,X5] :
( ( ~ equalish(X4,X5)
| ~ equalish(X5,X4) )
& ( equalish(X4,X5)
| equalish(X5,X4) ) )
=> ( ( ~ equalish(sK1,sK2)
| ~ equalish(sK2,sK1) )
& ( equalish(sK1,sK2)
| equalish(sK2,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ! [X0,X1] :
( ( equalish(X1,X0)
| ? [X2] :
( ( ~ a_member_of(X2,X1)
| ~ a_member_of(X2,X0) )
& ( a_member_of(X2,X1)
| a_member_of(X2,X0) ) ) )
& ( ! [X3] :
( ( a_member_of(X3,X0)
| ~ a_member_of(X3,X1) )
& ( a_member_of(X3,X1)
| ~ a_member_of(X3,X0) ) )
| ~ equalish(X1,X0) ) )
& ? [X4,X5] :
( ( ~ equalish(X4,X5)
| ~ equalish(X5,X4) )
& ( equalish(X4,X5)
| equalish(X5,X4) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ! [X1,X0] :
( ( equalish(X0,X1)
| ? [X2] :
( ( ~ a_member_of(X2,X0)
| ~ a_member_of(X2,X1) )
& ( a_member_of(X2,X0)
| a_member_of(X2,X1) ) ) )
& ( ! [X2] :
( ( a_member_of(X2,X1)
| ~ a_member_of(X2,X0) )
& ( a_member_of(X2,X0)
| ~ a_member_of(X2,X1) ) )
| ~ equalish(X0,X1) ) )
& ? [X3,X4] :
( ( ~ equalish(X3,X4)
| ~ equalish(X4,X3) )
& ( equalish(X3,X4)
| equalish(X4,X3) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
( ! [X1,X0] :
( equalish(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X1)
<=> a_member_of(X2,X0) ) )
& ? [X3,X4] :
( equalish(X4,X3)
<~> equalish(X3,X4) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ! [X1,X0] :
( equalish(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X1)
<=> a_member_of(X2,X0) ) )
=> ! [X3,X4] :
( equalish(X4,X3)
<=> equalish(X3,X4) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X1,X0] :
( equalish(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X1)
<=> a_member_of(X2,X0) ) )
=> ! [X0,X1] :
( equalish(X1,X0)
<=> equalish(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X1,X0] :
( equalish(X0,X1)
<=> ! [X2] :
( a_member_of(X2,X1)
<=> a_member_of(X2,X0) ) )
=> ! [X0,X1] :
( equalish(X1,X0)
<=> equalish(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f14,plain,
! [X0,X1] :
( a_member_of(sK0(X0,X1),X1)
| equalish(X1,X0)
| a_member_of(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f61,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ a_member_of(sK0(X0,X1),X0)
| ~ equalish(X0,X1) ),
inference(duplicate_literal_removal,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| equalish(X1,X0)
| equalish(X1,X0)
| ~ a_member_of(sK0(X0,X1),X0)
| ~ equalish(X0,X1) ),
inference(resolution,[],[f55,f15]) ).
fof(f15,plain,
! [X0,X1] :
( ~ a_member_of(sK0(X0,X1),X1)
| equalish(X1,X0)
| ~ a_member_of(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f55,plain,
! [X2,X3,X1] :
( a_member_of(sK0(X1,X2),X3)
| ~ equalish(X1,X3)
| equalish(X2,X1)
| ~ equalish(X1,X2) ),
inference(resolution,[],[f52,f13]) ).
fof(f13,plain,
! [X3,X0,X1] :
( ~ a_member_of(X3,X1)
| a_member_of(X3,X0)
| ~ equalish(X1,X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f19,plain,
( equalish(sK1,sK2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f71,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_contradiction_clause,[],[f70]) ).
fof(f70,plain,
( $false
| spl3_1
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f68,f18]) ).
fof(f18,plain,
( ~ equalish(sK1,sK2)
| spl3_1 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f68,plain,
( equalish(sK1,sK2)
| ~ spl3_2 ),
inference(resolution,[],[f62,f23]) ).
fof(f23,plain,
( equalish(sK2,sK1)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f25,plain,
( ~ spl3_2
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f11,f17,f21]) ).
fof(f11,plain,
( ~ equalish(sK1,sK2)
| ~ equalish(sK2,sK1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f24,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f10,f21,f17]) ).
fof(f10,plain,
( equalish(sK2,sK1)
| equalish(sK1,sK2) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET788+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30 % Computer : n021.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 14:16:41 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.45 % (29532)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)
% 0.14/0.45 % (29542)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)
% 0.14/0.45 % (29548)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)
% 0.14/0.45 % (29533)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)
% 0.14/0.46 % (29540)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)
% 0.14/0.46 % (29541)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)
% 0.14/0.46 % (29534)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)
% 0.14/0.46 % (29532)First to succeed.
% 0.14/0.46 % (29540)Instruction limit reached!
% 0.14/0.46 % (29540)------------------------------
% 0.14/0.46 % (29540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46 % (29532)Refutation found. Thanks to Tanya!
% 0.14/0.46 % SZS status Theorem for theBenchmark
% 0.14/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.46 % (29532)------------------------------
% 0.14/0.46 % (29532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46 % (29532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46 % (29532)Termination reason: Refutation
% 0.14/0.46
% 0.14/0.46 % (29532)Memory used [KB]: 6012
% 0.14/0.46 % (29532)Time elapsed: 0.097 s
% 0.14/0.46 % (29532)Instructions burned: 3 (million)
% 0.14/0.46 % (29532)------------------------------
% 0.14/0.46 % (29532)------------------------------
% 0.14/0.46 % (29525)Success in time 0.156 s
%------------------------------------------------------------------------------