TSTP Solution File: SET047+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET047+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n026.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 18:18:46 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 60 ( 1 unt; 0 def)
% Number of atoms : 192 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 217 ( 85 ~; 101 |; 15 &)
% ( 13 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 46 ( 37 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f105,plain,
$false,
inference(avatar_sat_refutation,[],[f28,f29,f39,f59,f65,f78,f90,f104]) ).
fof(f104,plain,
( ~ spl3_2
| ~ spl3_3
| spl3_4 ),
inference(avatar_contradiction_clause,[],[f103]) ).
fof(f103,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| spl3_4 ),
inference(subsumption_resolution,[],[f102,f27]) ).
fof(f27,plain,
( set_equal(sK1,sK0)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl3_2
<=> set_equal(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f102,plain,
( ~ set_equal(sK1,sK0)
| ~ spl3_3
| spl3_4 ),
inference(resolution,[],[f94,f33]) ).
fof(f33,plain,
( element(sK2(sK1,sK0),sK1)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl3_3
<=> element(sK2(sK1,sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f94,plain,
( ! [X1] :
( ~ element(sK2(sK1,sK0),X1)
| ~ set_equal(X1,sK0) )
| spl3_4 ),
inference(resolution,[],[f38,f18]) ).
fof(f18,plain,
! [X2,X0,X1] :
( element(X2,X0)
| ~ set_equal(X1,X0)
| ~ element(X2,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ( ! [X2] :
( ( element(X2,X1)
| ~ element(X2,X0) )
& ( element(X2,X0)
| ~ element(X2,X1) ) )
| ~ set_equal(X1,X0) )
& ( set_equal(X1,X0)
| ( ( ~ element(sK2(X0,X1),X0)
| ~ element(sK2(X0,X1),X1) )
& ( element(sK2(X0,X1),X0)
| element(sK2(X0,X1),X1) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f11,f12]) ).
fof(f12,plain,
! [X0,X1] :
( ? [X3] :
( ( ~ element(X3,X0)
| ~ element(X3,X1) )
& ( element(X3,X0)
| element(X3,X1) ) )
=> ( ( ~ element(sK2(X0,X1),X0)
| ~ element(sK2(X0,X1),X1) )
& ( element(sK2(X0,X1),X0)
| element(sK2(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
! [X0,X1] :
( ( ! [X2] :
( ( element(X2,X1)
| ~ element(X2,X0) )
& ( element(X2,X0)
| ~ element(X2,X1) ) )
| ~ set_equal(X1,X0) )
& ( set_equal(X1,X0)
| ? [X3] :
( ( ~ element(X3,X0)
| ~ element(X3,X1) )
& ( element(X3,X0)
| element(X3,X1) ) ) ) ),
inference(rectify,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( ( ! [X2] :
( ( element(X2,X1)
| ~ element(X2,X0) )
& ( element(X2,X0)
| ~ element(X2,X1) ) )
| ~ set_equal(X1,X0) )
& ( set_equal(X1,X0)
| ? [X2] :
( ( ~ element(X2,X0)
| ~ element(X2,X1) )
& ( element(X2,X0)
| element(X2,X1) ) ) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,plain,
! [X0,X1] :
( ! [X2] :
( element(X2,X1)
<=> element(X2,X0) )
<=> set_equal(X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( set_equal(X0,X1)
<=> ! [X2] :
( element(X2,X1)
<=> element(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel43_1) ).
fof(f38,plain,
( ~ element(sK2(sK1,sK0),sK0)
| spl3_4 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl3_4
<=> element(sK2(sK1,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f90,plain,
( ~ spl3_1
| spl3_2
| spl3_6 ),
inference(avatar_contradiction_clause,[],[f89]) ).
fof(f89,plain,
( $false
| ~ spl3_1
| spl3_2
| spl3_6 ),
inference(subsumption_resolution,[],[f88,f26]) ).
fof(f26,plain,
( ~ set_equal(sK1,sK0)
| spl3_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f88,plain,
( set_equal(sK1,sK0)
| ~ spl3_1
| spl3_6 ),
inference(subsumption_resolution,[],[f87,f23]) ).
fof(f23,plain,
( set_equal(sK0,sK1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f21,plain,
( spl3_1
<=> set_equal(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f87,plain,
( ~ set_equal(sK0,sK1)
| set_equal(sK1,sK0)
| spl3_6 ),
inference(subsumption_resolution,[],[f81,f58]) ).
fof(f58,plain,
( ~ element(sK2(sK0,sK1),sK0)
| spl3_6 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl3_6
<=> element(sK2(sK0,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f81,plain,
( element(sK2(sK0,sK1),sK0)
| set_equal(sK1,sK0)
| ~ set_equal(sK0,sK1)
| spl3_6 ),
inference(resolution,[],[f79,f16]) ).
fof(f16,plain,
! [X0,X1] :
( element(sK2(X0,X1),X1)
| element(sK2(X0,X1),X0)
| set_equal(X1,X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f79,plain,
( ! [X0] :
( ~ element(sK2(sK0,sK1),X0)
| ~ set_equal(sK0,X0) )
| spl3_6 ),
inference(resolution,[],[f58,f19]) ).
fof(f19,plain,
! [X2,X0,X1] :
( element(X2,X1)
| ~ element(X2,X0)
| ~ set_equal(X1,X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f78,plain,
( ~ spl3_1
| spl3_5
| ~ spl3_6 ),
inference(avatar_contradiction_clause,[],[f77]) ).
fof(f77,plain,
( $false
| ~ spl3_1
| spl3_5
| ~ spl3_6 ),
inference(subsumption_resolution,[],[f76,f23]) ).
fof(f76,plain,
( ~ set_equal(sK0,sK1)
| spl3_5
| ~ spl3_6 ),
inference(resolution,[],[f62,f57]) ).
fof(f57,plain,
( element(sK2(sK0,sK1),sK0)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f62,plain,
( ! [X1] :
( ~ element(sK2(sK0,sK1),X1)
| ~ set_equal(X1,sK1) )
| spl3_5 ),
inference(resolution,[],[f54,f18]) ).
fof(f54,plain,
( ~ element(sK2(sK0,sK1),sK1)
| spl3_5 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl3_5
<=> element(sK2(sK0,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f65,plain,
( ~ spl3_2
| spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f49,f32,f21,f25]) ).
fof(f49,plain,
( set_equal(sK0,sK1)
| ~ set_equal(sK1,sK0)
| spl3_3 ),
inference(subsumption_resolution,[],[f42,f34]) ).
fof(f34,plain,
( ~ element(sK2(sK1,sK0),sK1)
| spl3_3 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f42,plain,
( set_equal(sK0,sK1)
| element(sK2(sK1,sK0),sK1)
| ~ set_equal(sK1,sK0)
| spl3_3 ),
inference(resolution,[],[f40,f16]) ).
fof(f40,plain,
( ! [X0] :
( ~ element(sK2(sK1,sK0),X0)
| ~ set_equal(sK1,X0) )
| spl3_3 ),
inference(resolution,[],[f34,f19]) ).
fof(f59,plain,
( ~ spl3_5
| ~ spl3_6
| spl3_2 ),
inference(avatar_split_clause,[],[f50,f25,f56,f52]) ).
fof(f50,plain,
( ~ element(sK2(sK0,sK1),sK0)
| ~ element(sK2(sK0,sK1),sK1)
| spl3_2 ),
inference(resolution,[],[f26,f17]) ).
fof(f17,plain,
! [X0,X1] :
( set_equal(X1,X0)
| ~ element(sK2(X0,X1),X0)
| ~ element(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f39,plain,
( ~ spl3_3
| ~ spl3_4
| spl3_1 ),
inference(avatar_split_clause,[],[f30,f21,f36,f32]) ).
fof(f30,plain,
( ~ element(sK2(sK1,sK0),sK0)
| ~ element(sK2(sK1,sK0),sK1)
| spl3_1 ),
inference(resolution,[],[f17,f22]) ).
fof(f22,plain,
( ~ set_equal(sK0,sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f29,plain,
( ~ spl3_2
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f15,f21,f25]) ).
fof(f15,plain,
( ~ set_equal(sK0,sK1)
| ~ set_equal(sK1,sK0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( ~ set_equal(sK0,sK1)
| ~ set_equal(sK1,sK0) )
& ( set_equal(sK0,sK1)
| set_equal(sK1,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f8]) ).
fof(f8,plain,
( ? [X0,X1] :
( ( ~ set_equal(X0,X1)
| ~ set_equal(X1,X0) )
& ( set_equal(X0,X1)
| set_equal(X1,X0) ) )
=> ( ( ~ set_equal(sK0,sK1)
| ~ set_equal(sK1,sK0) )
& ( set_equal(sK0,sK1)
| set_equal(sK1,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
? [X0,X1] :
( ( ~ set_equal(X0,X1)
| ~ set_equal(X1,X0) )
& ( set_equal(X0,X1)
| set_equal(X1,X0) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0,X1] :
( set_equal(X1,X0)
<~> set_equal(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
~ ! [X1,X0] :
( set_equal(X0,X1)
<=> set_equal(X1,X0) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ! [X1,X0] :
( set_equal(X1,X0)
<=> set_equal(X0,X1) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
! [X1,X0] :
( set_equal(X1,X0)
<=> set_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel43) ).
fof(f28,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f14,f25,f21]) ).
fof(f14,plain,
( set_equal(sK1,sK0)
| set_equal(sK0,sK1) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.11 % Problem : SET047+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 13:17:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 % (25320)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)
% 0.20/0.45 % (25320)Refutation not found, incomplete strategy% (25320)------------------------------
% 0.20/0.45 % (25320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.45 % (25320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.45 % (25320)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.45
% 0.20/0.45 % (25320)Memory used [KB]: 1407
% 0.20/0.45 % (25320)Time elapsed: 0.058 s
% 0.20/0.45 % (25320)Instructions burned: 2 (million)
% 0.20/0.45 % (25320)------------------------------
% 0.20/0.45 % (25320)------------------------------
% 0.20/0.46 % (25327)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)
% 0.20/0.46 % (25327)Refutation not found, incomplete strategy% (25327)------------------------------
% 0.20/0.46 % (25327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.46 % (25327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.46 % (25327)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.46
% 0.20/0.46 % (25327)Memory used [KB]: 5884
% 0.20/0.46 % (25327)Time elapsed: 0.069 s
% 0.20/0.46 % (25327)Instructions burned: 2 (million)
% 0.20/0.46 % (25327)------------------------------
% 0.20/0.46 % (25327)------------------------------
% 0.20/0.49 % (25319)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49 % (25319)Refutation not found, incomplete strategy% (25319)------------------------------
% 0.20/0.49 % (25319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (25319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (25319)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (25319)Memory used [KB]: 5884
% 0.20/0.49 % (25319)Time elapsed: 0.096 s
% 0.20/0.49 % (25319)Instructions burned: 1 (million)
% 0.20/0.49 % (25319)------------------------------
% 0.20/0.49 % (25319)------------------------------
% 0.20/0.51 % (25335)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)
% 0.20/0.51 % (25312)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51 % (25312)Refutation not found, incomplete strategy% (25312)------------------------------
% 0.20/0.51 % (25312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (25312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (25312)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (25312)Memory used [KB]: 5884
% 0.20/0.51 % (25312)Time elapsed: 0.115 s
% 0.20/0.51 % (25312)------------------------------
% 0.20/0.51 % (25312)------------------------------
% 0.20/0.51 % (25337)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.52 % (25337)First to succeed.
% 0.20/0.52 % (25330)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)
% 0.20/0.52 % (25337)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (25337)------------------------------
% 0.20/0.52 % (25337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (25337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (25337)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (25337)Memory used [KB]: 5884
% 0.20/0.52 % (25337)Time elapsed: 0.120 s
% 0.20/0.52 % (25337)Instructions burned: 3 (million)
% 0.20/0.52 % (25337)------------------------------
% 0.20/0.52 % (25337)------------------------------
% 0.20/0.52 % (25307)Success in time 0.172 s
%------------------------------------------------------------------------------