TSTP Solution File: SET991+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET991+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 : n022.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 18:22:58 EDT 2022
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 12 unt; 0 def)
% Number of atoms : 152 ( 38 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 184 ( 66 ~; 59 |; 44 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 65 ( 45 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f240,plain,
$false,
inference(subsumption_resolution,[],[f239,f154]) ).
fof(f154,plain,
in(sK11,sF16),
inference(definition_folding,[],[f140,f153]) ).
fof(f153,plain,
relation_dom(sK12) = sF16,
introduced(function_definition,[]) ).
fof(f140,plain,
in(sK11,relation_dom(sK12)),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ~ in(apply(sK12,sK11),relation_rng(sK12))
& function(sK12)
& in(sK11,relation_dom(sK12))
& relation(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f44,f94]) ).
fof(f94,plain,
( ? [X0,X1] :
( ~ in(apply(X1,X0),relation_rng(X1))
& function(X1)
& in(X0,relation_dom(X1))
& relation(X1) )
=> ( ~ in(apply(sK12,sK11),relation_rng(sK12))
& function(sK12)
& in(sK11,relation_dom(sK12))
& relation(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
? [X0,X1] :
( ~ in(apply(X1,X0),relation_rng(X1))
& function(X1)
& in(X0,relation_dom(X1))
& relation(X1) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
? [X0,X1] :
( ~ in(apply(X1,X0),relation_rng(X1))
& in(X0,relation_dom(X1))
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( in(X0,relation_dom(X1))
=> in(apply(X1,X0),relation_rng(X1)) ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( in(X0,relation_dom(X1))
=> in(apply(X1,X0),relation_rng(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_funct_1) ).
fof(f239,plain,
~ in(sK11,sF16),
inference(forward_demodulation,[],[f238,f153]) ).
fof(f238,plain,
~ in(sK11,relation_dom(sK12)),
inference(subsumption_resolution,[],[f237,f152]) ).
fof(f152,plain,
~ in(sF14,sF15),
inference(definition_folding,[],[f142,f151,f150]) ).
fof(f150,plain,
sF14 = apply(sK12,sK11),
introduced(function_definition,[]) ).
fof(f151,plain,
relation_rng(sK12) = sF15,
introduced(function_definition,[]) ).
fof(f142,plain,
~ in(apply(sK12,sK11),relation_rng(sK12)),
inference(cnf_transformation,[],[f95]) ).
fof(f237,plain,
( ~ in(sK11,relation_dom(sK12))
| in(sF14,sF15) ),
inference(forward_demodulation,[],[f236,f151]) ).
fof(f236,plain,
( in(sF14,relation_rng(sK12))
| ~ in(sK11,relation_dom(sK12)) ),
inference(subsumption_resolution,[],[f235,f139]) ).
fof(f139,plain,
relation(sK12),
inference(cnf_transformation,[],[f95]) ).
fof(f235,plain,
( in(sF14,relation_rng(sK12))
| ~ in(sK11,relation_dom(sK12))
| ~ relation(sK12) ),
inference(subsumption_resolution,[],[f233,f141]) ).
fof(f141,plain,
function(sK12),
inference(cnf_transformation,[],[f95]) ).
fof(f233,plain,
( in(sF14,relation_rng(sK12))
| ~ function(sK12)
| ~ relation(sK12)
| ~ in(sK11,relation_dom(sK12)) ),
inference(superposition,[],[f147,f150]) ).
fof(f147,plain,
! [X0,X6] :
( in(apply(X0,X6),relation_rng(X0))
| ~ function(X0)
| ~ in(X6,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f146]) ).
fof(f146,plain,
! [X0,X1,X6] :
( ~ function(X0)
| in(apply(X0,X6),X1)
| ~ in(X6,relation_dom(X0))
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(equality_resolution,[],[f131]) ).
fof(f131,plain,
! [X0,X1,X6,X5] :
( ~ function(X0)
| in(X5,X1)
| apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0))
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ~ function(X0)
| ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] :
( apply(X0,X3) != sK7(X0,X1)
| ~ in(X3,relation_dom(X0)) )
| ~ in(sK7(X0,X1),X1) )
& ( ( sK7(X0,X1) = apply(X0,sK8(X0,X1))
& in(sK8(X0,X1),relation_dom(X0)) )
| in(sK7(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) ) )
& ( ( apply(X0,sK9(X0,X5)) = X5
& in(sK9(X0,X5),relation_dom(X0)) )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f85,f88,f87,f86]) ).
fof(f86,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) )
| in(X2,X1) ) )
=> ( ( ! [X3] :
( apply(X0,X3) != sK7(X0,X1)
| ~ in(X3,relation_dom(X0)) )
| ~ in(sK7(X0,X1),X1) )
& ( ? [X4] :
( sK7(X0,X1) = apply(X0,X4)
& in(X4,relation_dom(X0)) )
| in(sK7(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0,X1] :
( ? [X4] :
( sK7(X0,X1) = apply(X0,X4)
& in(X4,relation_dom(X0)) )
=> ( sK7(X0,X1) = apply(X0,sK8(X0,X1))
& in(sK8(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X5] :
( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
=> ( apply(X0,sK9(X0,X5)) = X5
& in(sK9(X0,X5),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0] :
( ~ function(X0)
| ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) ) )
& ( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ~ function(X0)
| ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ~ function(X0)
| ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) )
| ~ relation(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET991+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:34:56 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.47 % (28776)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)
% 0.21/0.47 % (28753)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.47 % (28753)First to succeed.
% 0.21/0.48 % (28768)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)
% 0.21/0.48 % (28760)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)
% 0.21/0.49 % (28753)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (28753)------------------------------
% 0.21/0.49 % (28753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (28753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (28753)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (28753)Memory used [KB]: 6012
% 0.21/0.49 % (28753)Time elapsed: 0.084 s
% 0.21/0.49 % (28753)Instructions burned: 6 (million)
% 0.21/0.49 % (28753)------------------------------
% 0.21/0.49 % (28753)------------------------------
% 0.21/0.49 % (28752)Success in time 0.139 s
%------------------------------------------------------------------------------