TSTP Solution File: SET877+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET877+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n006.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 18:22:38 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 76 ( 52 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 85 ( 33 ~; 30 |; 15 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 48 ( 41 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,plain,
$false,
inference(unit_resulting_resolution,[],[f30,f31,f58]) ).
fof(f58,plain,
! [X2,X1] :
( set_intersection2(singleton(X2),singleton(X1)) != singleton(X2)
| X1 = X2 ),
inference(superposition,[],[f44,f36]) ).
fof(f36,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f44,plain,
! [X0,X1] :
( singleton(X0) != set_intersection2(singleton(X1),singleton(X0))
| X0 = X1 ),
inference(resolution,[],[f29,f40]) ).
fof(f40,plain,
! [X3,X1] :
( ~ in(X3,singleton(X1))
| X1 = X3 ),
inference(equality_resolution,[],[f33]) ).
fof(f33,plain,
! [X3,X0,X1] :
( X1 = X3
| ~ in(X3,X0)
| singleton(X1) != X0 ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( singleton(X1) = X0
| ( ( ~ in(sK2(X0,X1),X0)
| sK2(X0,X1) != X1 )
& ( in(sK2(X0,X1),X0)
| sK2(X0,X1) = X1 ) ) )
& ( ! [X3] :
( ( X1 = X3
| ~ in(X3,X0) )
& ( in(X3,X0)
| X1 != X3 ) )
| singleton(X1) != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f21,f22]) ).
fof(f22,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X0)
| X1 != X2 )
& ( in(X2,X0)
| X1 = X2 ) )
=> ( ( ~ in(sK2(X0,X1),X0)
| sK2(X0,X1) != X1 )
& ( in(sK2(X0,X1),X0)
| sK2(X0,X1) = X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0,X1] :
( ( singleton(X1) = X0
| ? [X2] :
( ( ~ in(X2,X0)
| X1 != X2 )
& ( in(X2,X0)
| X1 = X2 ) ) )
& ( ! [X3] :
( ( X1 = X3
| ~ in(X3,X0) )
& ( in(X3,X0)
| X1 != X3 ) )
| singleton(X1) != X0 ) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0] :
( ( singleton(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| X0 != X2 )
& ( in(X2,X1)
| X0 = X2 ) ) )
& ( ! [X2] :
( ( X0 = X2
| ~ in(X2,X1) )
& ( in(X2,X1)
| X0 != X2 ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( singleton(X0) = X1
<=> ! [X2] :
( X0 = X2
<=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f29,plain,
! [X0,X1] :
( in(X0,X1)
| singleton(X0) != set_intersection2(X1,singleton(X0)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( in(X0,X1)
| singleton(X0) != set_intersection2(X1,singleton(X0)) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X1,X0] :
( in(X1,X0)
| singleton(X1) != set_intersection2(X0,singleton(X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( singleton(X1) = set_intersection2(X0,singleton(X1))
=> in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l30_zfmisc_1) ).
fof(f31,plain,
singleton(sK0) = set_intersection2(singleton(sK0),singleton(sK1)),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
( singleton(sK0) = set_intersection2(singleton(sK0),singleton(sK1))
& sK1 != sK0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f18]) ).
fof(f18,plain,
( ? [X0,X1] :
( singleton(X0) = set_intersection2(singleton(X0),singleton(X1))
& X0 != X1 )
=> ( singleton(sK0) = set_intersection2(singleton(sK0),singleton(sK1))
& sK1 != sK0 ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
? [X0,X1] :
( singleton(X0) = set_intersection2(singleton(X0),singleton(X1))
& X0 != X1 ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X1] :
( singleton(X0) = set_intersection2(singleton(X0),singleton(X1))
=> X0 = X1 ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X1] :
( singleton(X0) = set_intersection2(singleton(X0),singleton(X1))
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_zfmisc_1) ).
fof(f30,plain,
sK1 != sK0,
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET877+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:26:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % (27481)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.47 % (27481)Refutation not found, incomplete strategy% (27481)------------------------------
% 0.19/0.47 % (27481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (27503)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.48 % (27495)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.48 % (27481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (27481)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48
% 0.19/0.48 % (27481)Memory used [KB]: 1407
% 0.19/0.48 % (27481)Time elapsed: 0.093 s
% 0.19/0.48 % (27481)Instructions burned: 2 (million)
% 0.19/0.48 % (27481)------------------------------
% 0.19/0.48 % (27481)------------------------------
% 0.19/0.48 % (27495)Refutation not found, incomplete strategy% (27495)------------------------------
% 0.19/0.48 % (27495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (27495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (27495)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48
% 0.19/0.48 % (27495)Memory used [KB]: 5884
% 0.19/0.48 % (27495)Time elapsed: 0.105 s
% 0.19/0.48 % (27495)Instructions burned: 1 (million)
% 0.19/0.48 % (27495)------------------------------
% 0.19/0.48 % (27495)------------------------------
% 0.19/0.48 % (27488)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.48 % (27488)Refutation not found, incomplete strategy% (27488)------------------------------
% 0.19/0.48 % (27488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (27488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (27488)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48
% 0.19/0.48 % (27488)Memory used [KB]: 1407
% 0.19/0.48 % (27488)Time elapsed: 0.102 s
% 0.19/0.48 % (27488)Instructions burned: 1 (million)
% 0.19/0.48 % (27488)------------------------------
% 0.19/0.48 % (27488)------------------------------
% 0.19/0.49 % (27503)First to succeed.
% 0.19/0.49 % (27503)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (27503)------------------------------
% 0.19/0.49 % (27503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (27503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (27503)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (27503)Memory used [KB]: 6012
% 0.19/0.49 % (27503)Time elapsed: 0.114 s
% 0.19/0.49 % (27503)Instructions burned: 4 (million)
% 0.19/0.49 % (27503)------------------------------
% 0.19/0.49 % (27503)------------------------------
% 0.19/0.49 % (27475)Success in time 0.143 s
%------------------------------------------------------------------------------