TSTP Solution File: SEU280+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU280+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --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 18:32:59 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 72 ( 1 unt; 0 def)
% Number of atoms : 321 ( 61 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 390 ( 141 ~; 140 |; 84 &)
% ( 15 <=>; 9 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 126 ( 78 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f191,plain,
$false,
inference(avatar_sat_refutation,[],[f61,f65,f70,f74,f84,f88,f98,f100,f189]) ).
fof(f189,plain,
( ~ spl9_2
| ~ spl9_3
| ~ spl9_5
| ~ spl9_8 ),
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f188,plain,
( $false
| ~ spl9_2
| ~ spl9_3
| ~ spl9_5
| ~ spl9_8 ),
inference(subsumption_resolution,[],[f187,f173]) ).
fof(f173,plain,
( in(sK7(sK4(sK6)),sK4(sK6))
| ~ spl9_5
| ~ spl9_8 ),
inference(subsumption_resolution,[],[f170,f48]) ).
fof(f48,plain,
! [X1] :
( in(sK7(X1),sK6)
| in(sK7(X1),X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X1] :
( ( ~ in(sK7(X1),sK6)
| ~ ordinal(sK7(X1))
| ~ in(sK7(X1),X1) )
& ( ( in(sK7(X1),sK6)
& ordinal(sK7(X1)) )
| in(sK7(X1),X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f28,f30,f29]) ).
fof(f29,plain,
( ? [X0] :
! [X1] :
? [X2] :
( ( ~ in(X2,X0)
| ~ ordinal(X2)
| ~ in(X2,X1) )
& ( ( in(X2,X0)
& ordinal(X2) )
| in(X2,X1) ) )
=> ! [X1] :
? [X2] :
( ( ~ in(X2,sK6)
| ~ ordinal(X2)
| ~ in(X2,X1) )
& ( ( in(X2,sK6)
& ordinal(X2) )
| in(X2,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X1] :
( ? [X2] :
( ( ~ in(X2,sK6)
| ~ ordinal(X2)
| ~ in(X2,X1) )
& ( ( in(X2,sK6)
& ordinal(X2) )
| in(X2,X1) ) )
=> ( ( ~ in(sK7(X1),sK6)
| ~ ordinal(sK7(X1))
| ~ in(sK7(X1),X1) )
& ( ( in(sK7(X1),sK6)
& ordinal(sK7(X1)) )
| in(sK7(X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0] :
! [X1] :
? [X2] :
( ( ~ in(X2,X0)
| ~ ordinal(X2)
| ~ in(X2,X1) )
& ( ( in(X2,X0)
& ordinal(X2) )
| in(X2,X1) ) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
? [X0] :
! [X1] :
? [X2] :
( ( ~ in(X2,X0)
| ~ ordinal(X2)
| ~ in(X2,X1) )
& ( ( in(X2,X0)
& ordinal(X2) )
| in(X2,X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
? [X0] :
! [X1] :
? [X2] :
( in(X2,X1)
<~> ( in(X2,X0)
& ordinal(X2) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
? [X1] :
! [X2] :
( in(X2,X1)
<=> ( in(X2,X0)
& ordinal(X2) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
? [X1] :
! [X2] :
( in(X2,X1)
<=> ( in(X2,X0)
& ordinal(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e6_22__wellord2) ).
fof(f170,plain,
( in(sK7(sK4(sK6)),sK4(sK6))
| ~ in(sK7(sK4(sK6)),sK6)
| ~ spl9_5
| ~ spl9_8 ),
inference(resolution,[],[f166,f48]) ).
fof(f166,plain,
( ! [X3] :
( ~ in(sK7(sK4(X3)),sK6)
| ~ in(sK7(sK4(X3)),X3) )
| ~ spl9_5
| ~ spl9_8 ),
inference(subsumption_resolution,[],[f165,f106]) ).
fof(f106,plain,
( ! [X2] : ordinal(sK7(sK4(X2)))
| ~ spl9_8 ),
inference(duplicate_literal_removal,[],[f105]) ).
fof(f105,plain,
( ! [X2] :
( ordinal(sK7(sK4(X2)))
| ordinal(sK7(sK4(X2))) )
| ~ spl9_8 ),
inference(resolution,[],[f47,f87]) ).
fof(f87,plain,
( ! [X2,X0] :
( ~ in(X2,sK4(X0))
| ordinal(X2) )
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl9_8
<=> ! [X2,X0] :
( ~ in(X2,sK4(X0))
| ordinal(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
fof(f47,plain,
! [X1] :
( in(sK7(X1),X1)
| ordinal(sK7(X1)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f165,plain,
( ! [X3] :
( ~ in(sK7(sK4(X3)),sK6)
| ~ in(sK7(sK4(X3)),X3)
| ~ ordinal(sK7(sK4(X3))) )
| ~ spl9_5 ),
inference(duplicate_literal_removal,[],[f164]) ).
fof(f164,plain,
( ! [X3] :
( ~ in(sK7(sK4(X3)),X3)
| ~ ordinal(sK7(sK4(X3)))
| ~ ordinal(sK7(sK4(X3)))
| ~ in(sK7(sK4(X3)),sK6) )
| ~ spl9_5 ),
inference(resolution,[],[f49,f73]) ).
fof(f73,plain,
( ! [X3,X0] :
( in(X3,sK4(X0))
| ~ ordinal(X3)
| ~ in(X3,X0) )
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl9_5
<=> ! [X0,X3] :
( ~ ordinal(X3)
| ~ in(X3,X0)
| in(X3,sK4(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f49,plain,
! [X1] :
( ~ in(sK7(X1),sK6)
| ~ in(sK7(X1),X1)
| ~ ordinal(sK7(X1)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f187,plain,
( ~ in(sK7(sK4(sK6)),sK4(sK6))
| ~ spl9_2
| ~ spl9_3
| ~ spl9_5
| ~ spl9_8 ),
inference(subsumption_resolution,[],[f186,f182]) ).
fof(f182,plain,
( ~ in(sK7(sK4(sK6)),sK6)
| ~ spl9_5
| ~ spl9_8 ),
inference(subsumption_resolution,[],[f175,f106]) ).
fof(f175,plain,
( ~ ordinal(sK7(sK4(sK6)))
| ~ in(sK7(sK4(sK6)),sK6)
| ~ spl9_5
| ~ spl9_8 ),
inference(resolution,[],[f173,f49]) ).
fof(f186,plain,
( in(sK7(sK4(sK6)),sK6)
| ~ in(sK7(sK4(sK6)),sK4(sK6))
| ~ spl9_2
| ~ spl9_3
| ~ spl9_5
| ~ spl9_8 ),
inference(superposition,[],[f60,f176]) ).
fof(f176,plain,
( sK5(sK6,sK7(sK4(sK6))) = sK7(sK4(sK6))
| ~ spl9_3
| ~ spl9_5
| ~ spl9_8 ),
inference(resolution,[],[f173,f64]) ).
fof(f64,plain,
( ! [X2,X0] :
( ~ in(X2,sK4(X0))
| sK5(X0,X2) = X2 )
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl9_3
<=> ! [X2,X0] :
( ~ in(X2,sK4(X0))
| sK5(X0,X2) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f60,plain,
( ! [X2,X0] :
( in(sK5(X0,X2),X0)
| ~ in(X2,sK4(X0)) )
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl9_2
<=> ! [X2,X0] :
( ~ in(X2,sK4(X0))
| in(sK5(X0,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f100,plain,
( spl9_10
| ~ spl9_4
| ~ spl9_7 ),
inference(avatar_split_clause,[],[f99,f81,f67,f95]) ).
fof(f95,plain,
( spl9_10
<=> sK3 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_10])]) ).
fof(f67,plain,
( spl9_4
<=> sK2 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f81,plain,
( spl9_7
<=> sK3 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
fof(f99,plain,
( sK3 = sK1
| ~ spl9_4
| ~ spl9_7 ),
inference(forward_demodulation,[],[f83,f69]) ).
fof(f69,plain,
( sK2 = sK1
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f83,plain,
( sK3 = sK2
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f98,plain,
( ~ spl9_1
| ~ spl9_10 ),
inference(avatar_split_clause,[],[f35,f95,f55]) ).
fof(f55,plain,
( spl9_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f35,plain,
( sK3 != sK1
| ~ sP0 ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( ordinal(sK1)
& ordinal(sK3)
& sK2 = sK1
& sK3 = sK2
& sK3 != sK1 )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f19,f20]) ).
fof(f20,plain,
( ? [X0,X1,X2] :
( ordinal(X0)
& ordinal(X2)
& X0 = X1
& X1 = X2
& X0 != X2 )
=> ( ordinal(sK1)
& ordinal(sK3)
& sK2 = sK1
& sK3 = sK2
& sK3 != sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ? [X0,X1,X2] :
( ordinal(X0)
& ordinal(X2)
& X0 = X1
& X1 = X2
& X0 != X2 )
| ~ sP0 ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
( ? [X3,X2,X1] :
( ordinal(X3)
& ordinal(X1)
& X2 = X3
& X1 = X2
& X1 != X3 )
| ~ sP0 ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
( ? [X3,X2,X1] :
( ordinal(X3)
& ordinal(X1)
& X2 = X3
& X1 = X2
& X1 != X3 )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f88,plain,
( spl9_1
| spl9_8 ),
inference(avatar_split_clause,[],[f41,f86,f55]) ).
fof(f41,plain,
! [X2,X0] :
( ~ in(X2,sK4(X0))
| ordinal(X2)
| sP0 ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( sP0
| ! [X2] :
( ( in(X2,sK4(X0))
| ! [X3] :
( X2 != X3
| ~ ordinal(X2)
| ~ in(X3,X0) ) )
& ( ( sK5(X0,X2) = X2
& ordinal(X2)
& in(sK5(X0,X2),X0) )
| ~ in(X2,sK4(X0)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f23,f25,f24]) ).
fof(f24,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( in(X2,X1)
| ! [X3] :
( X2 != X3
| ~ ordinal(X2)
| ~ in(X3,X0) ) )
& ( ? [X4] :
( X2 = X4
& ordinal(X2)
& in(X4,X0) )
| ~ in(X2,X1) ) )
=> ! [X2] :
( ( in(X2,sK4(X0))
| ! [X3] :
( X2 != X3
| ~ ordinal(X2)
| ~ in(X3,X0) ) )
& ( ? [X4] :
( X2 = X4
& ordinal(X2)
& in(X4,X0) )
| ~ in(X2,sK4(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0,X2] :
( ? [X4] :
( X2 = X4
& ordinal(X2)
& in(X4,X0) )
=> ( sK5(X0,X2) = X2
& ordinal(X2)
& in(sK5(X0,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0] :
( sP0
| ? [X1] :
! [X2] :
( ( in(X2,X1)
| ! [X3] :
( X2 != X3
| ~ ordinal(X2)
| ~ in(X3,X0) ) )
& ( ? [X4] :
( X2 = X4
& ordinal(X2)
& in(X4,X0) )
| ~ in(X2,X1) ) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X0] :
( sP0
| ? [X4] :
! [X5] :
( ( in(X5,X4)
| ! [X6] :
( X5 != X6
| ~ ordinal(X5)
| ~ in(X6,X0) ) )
& ( ? [X6] :
( X5 = X6
& ordinal(X5)
& in(X6,X0) )
| ~ in(X5,X4) ) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( sP0
| ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( X5 = X6
& ordinal(X5)
& in(X6,X0) ) ) ),
inference(definition_folding,[],[f14,f16]) ).
fof(f14,plain,
! [X0] :
( ? [X3,X2,X1] :
( ordinal(X3)
& ordinal(X1)
& X2 = X3
& X1 = X2
& X1 != X3 )
| ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( X5 = X6
& ordinal(X5)
& in(X6,X0) ) ) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
! [X0] :
( ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( X5 = X6
& ordinal(X5)
& in(X6,X0) ) )
| ? [X1,X2,X3] :
( X1 != X3
& X1 = X2
& ordinal(X3)
& ordinal(X1)
& X2 = X3 ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0] :
( ! [X1,X2,X3] :
( ( X1 = X2
& ordinal(X3)
& ordinal(X1)
& X2 = X3 )
=> X1 = X3 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( X5 = X6
& ordinal(X5)
& in(X6,X0) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ! [X2,X1,X3] :
( ( ordinal(X2)
& ordinal(X3)
& X1 = X3
& X1 = X2 )
=> X2 = X3 )
=> ? [X1] :
! [X2] :
( ? [X3] :
( in(X3,X0)
& ordinal(X2)
& X2 = X3 )
<=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).
fof(f84,plain,
( spl9_7
| ~ spl9_1 ),
inference(avatar_split_clause,[],[f36,f55,f81]) ).
fof(f36,plain,
( ~ sP0
| sK3 = sK2 ),
inference(cnf_transformation,[],[f21]) ).
fof(f74,plain,
( spl9_5
| spl9_1 ),
inference(avatar_split_clause,[],[f53,f55,f72]) ).
fof(f53,plain,
! [X3,X0] :
( sP0
| ~ ordinal(X3)
| in(X3,sK4(X0))
| ~ in(X3,X0) ),
inference(equality_resolution,[],[f43]) ).
fof(f43,plain,
! [X2,X3,X0] :
( sP0
| in(X2,sK4(X0))
| X2 != X3
| ~ ordinal(X2)
| ~ in(X3,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f70,plain,
( ~ spl9_1
| spl9_4 ),
inference(avatar_split_clause,[],[f37,f67,f55]) ).
fof(f37,plain,
( sK2 = sK1
| ~ sP0 ),
inference(cnf_transformation,[],[f21]) ).
fof(f65,plain,
( spl9_1
| spl9_3 ),
inference(avatar_split_clause,[],[f42,f63,f55]) ).
fof(f42,plain,
! [X2,X0] :
( ~ in(X2,sK4(X0))
| sK5(X0,X2) = X2
| sP0 ),
inference(cnf_transformation,[],[f26]) ).
fof(f61,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f40,f59,f55]) ).
fof(f40,plain,
! [X2,X0] :
( ~ in(X2,sK4(X0))
| sP0
| in(sK5(X0,X2),X0) ),
inference(cnf_transformation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU280+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n018.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 15:07:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.47 % (28089)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.47 % (28098)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.48 % (28098)First to succeed.
% 0.19/0.48 % (28089)Instruction limit reached!
% 0.19/0.48 % (28089)------------------------------
% 0.19/0.48 % (28089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (28089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (28089)Termination reason: Unknown
% 0.19/0.48 % (28089)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (28089)Memory used [KB]: 895
% 0.19/0.48 % (28089)Time elapsed: 0.004 s
% 0.19/0.48 % (28089)Instructions burned: 2 (million)
% 0.19/0.48 % (28089)------------------------------
% 0.19/0.48 % (28089)------------------------------
% 0.19/0.48 % (28098)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (28098)------------------------------
% 0.19/0.48 % (28098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (28098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (28098)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (28098)Memory used [KB]: 5500
% 0.19/0.48 % (28098)Time elapsed: 0.082 s
% 0.19/0.48 % (28098)Instructions burned: 5 (million)
% 0.19/0.48 % (28098)------------------------------
% 0.19/0.48 % (28098)------------------------------
% 0.19/0.48 % (28077)Success in time 0.128 s
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