TSTP Solution File: PHI012+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PHI012+1 : TPTP v8.1.0. Released v7.2.0.
% 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 : n003.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 18:08:23 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 6
% Syntax : Number of formulae : 49 ( 5 unt; 0 def)
% Number of atoms : 258 ( 33 equ)
% Maximal formula atoms : 11 ( 5 avg)
% Number of connectives : 345 ( 136 ~; 135 |; 57 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 73 ( 54 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f94,plain,
$false,
inference(resolution,[],[f89,f28]) ).
fof(f28,plain,
object(sK2),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ! [X0] :
( ~ exemplifies_property(none_greater,X0)
| ~ object(X0)
| ( sK1(X0) != X0
& exemplifies_property(none_greater,sK1(X0))
& object(sK1(X0)) ) )
& exemplifies_property(none_greater,sK2)
& object(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f18,f20,f19]) ).
fof(f19,plain,
! [X0] :
( ? [X1] :
( X0 != X1
& exemplifies_property(none_greater,X1)
& object(X1) )
=> ( sK1(X0) != X0
& exemplifies_property(none_greater,sK1(X0))
& object(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
( ? [X2] :
( exemplifies_property(none_greater,X2)
& object(X2) )
=> ( exemplifies_property(none_greater,sK2)
& object(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ! [X0] :
( ~ exemplifies_property(none_greater,X0)
| ~ object(X0)
| ? [X1] :
( X0 != X1
& exemplifies_property(none_greater,X1)
& object(X1) ) )
& ? [X2] :
( exemplifies_property(none_greater,X2)
& object(X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,plain,
( ! [X1] :
( ~ exemplifies_property(none_greater,X1)
| ~ object(X1)
| ? [X2] :
( X1 != X2
& exemplifies_property(none_greater,X2)
& object(X2) ) )
& ? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) ) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
( ! [X1] :
( ? [X2] :
( X1 != X2
& exemplifies_property(none_greater,X2)
& object(X2) )
| ~ object(X1)
| ~ exemplifies_property(none_greater,X1) )
& ? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
~ ( ? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) )
=> ? [X1] :
( ! [X2] :
( object(X2)
=> ( exemplifies_property(none_greater,X2)
=> X1 = X2 ) )
& object(X1)
& exemplifies_property(none_greater,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ( ? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) )
=> ? [X0] :
( object(X0)
& exemplifies_property(none_greater,X0)
& ! [X1] :
( object(X1)
=> ( exemplifies_property(none_greater,X1)
=> X0 = X1 ) ) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
( ? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) )
=> ? [X0] :
( object(X0)
& exemplifies_property(none_greater,X0)
& ! [X1] :
( object(X1)
=> ( exemplifies_property(none_greater,X1)
=> X0 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_2) ).
fof(f89,plain,
~ object(sK2),
inference(resolution,[],[f88,f29]) ).
fof(f29,plain,
exemplifies_property(none_greater,sK2),
inference(cnf_transformation,[],[f21]) ).
fof(f88,plain,
( ~ exemplifies_property(none_greater,sK2)
| ~ object(sK2) ),
inference(trivial_inequality_removal,[],[f85]) ).
fof(f85,plain,
( ~ exemplifies_property(none_greater,sK2)
| ~ object(sK2)
| sK2 != sK2 ),
inference(superposition,[],[f32,f82]) ).
fof(f82,plain,
sK2 = sK1(sK2),
inference(resolution,[],[f77,f28]) ).
fof(f77,plain,
( ~ object(sK2)
| sK2 = sK1(sK2) ),
inference(resolution,[],[f76,f29]) ).
fof(f76,plain,
( ~ exemplifies_property(none_greater,sK2)
| ~ object(sK2)
| sK2 = sK1(sK2) ),
inference(duplicate_literal_removal,[],[f75]) ).
fof(f75,plain,
( ~ object(sK2)
| sK2 = sK1(sK2)
| ~ object(sK2)
| ~ exemplifies_property(none_greater,sK2) ),
inference(resolution,[],[f73,f30]) ).
fof(f30,plain,
! [X0] :
( object(sK1(X0))
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f73,plain,
( ~ object(sK1(sK2))
| sK2 = sK1(sK2)
| ~ object(sK2) ),
inference(duplicate_literal_removal,[],[f68]) ).
fof(f68,plain,
( sK2 = sK1(sK2)
| ~ object(sK2)
| ~ object(sK1(sK2))
| ~ object(sK2) ),
inference(resolution,[],[f62,f29]) ).
fof(f62,plain,
! [X0] :
( ~ exemplifies_property(none_greater,X0)
| ~ object(X0)
| sK1(X0) = sK2
| ~ object(sK2)
| ~ object(sK1(X0)) ),
inference(resolution,[],[f58,f31]) ).
fof(f31,plain,
! [X0] :
( exemplifies_property(none_greater,sK1(X0))
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f58,plain,
! [X0] :
( ~ exemplifies_property(none_greater,X0)
| ~ object(sK2)
| ~ object(X0)
| sK2 = X0 ),
inference(duplicate_literal_removal,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ~ object(sK2)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0)
| sK2 = X0
| ~ object(X0)
| ~ exemplifies_property(none_greater,X0) ),
inference(resolution,[],[f47,f22]) ).
fof(f22,plain,
! [X0] :
( exemplifies_property(conceivable,X0)
| ~ object(X0)
| ~ exemplifies_property(none_greater,X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ( exemplifies_property(conceivable,sK0(X0))
& exemplifies_relation(greater_than,sK0(X0),X0)
& object(sK0(X0)) )
| ~ exemplifies_property(conceivable,X0) )
& ( ( ! [X2] :
( ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ object(X2) )
& exemplifies_property(conceivable,X0) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).
fof(f15,plain,
! [X0] :
( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
=> ( exemplifies_property(conceivable,sK0(X0))
& exemplifies_relation(greater_than,sK0(X0),X0)
& object(sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
| ~ exemplifies_property(conceivable,X0) )
& ( ( ! [X2] :
( ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ object(X2) )
& exemplifies_property(conceivable,X0) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
| ~ exemplifies_property(conceivable,X0) )
& ( ( ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) )
& exemplifies_property(conceivable,X0) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
| ~ exemplifies_property(conceivable,X0) )
& ( ( ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) )
& exemplifies_property(conceivable,X0) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] :
( ( exemplifies_property(none_greater,X0)
<=> ( ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) )
& exemplifies_property(conceivable,X0) ) )
| ~ object(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( object(X0)
=> ( ( exemplifies_property(conceivable,X0)
& ~ ? [X1] :
( object(X1)
& exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0) ) )
<=> exemplifies_property(none_greater,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_none_greater) ).
fof(f47,plain,
! [X0] :
( ~ exemplifies_property(conceivable,X0)
| ~ exemplifies_property(none_greater,X0)
| sK2 = X0
| ~ object(X0)
| ~ object(sK2) ),
inference(resolution,[],[f45,f29]) ).
fof(f45,plain,
! [X0,X1] :
( ~ exemplifies_property(none_greater,X1)
| ~ exemplifies_property(conceivable,X0)
| ~ object(X0)
| ~ object(X1)
| X0 = X1
| ~ exemplifies_property(none_greater,X0) ),
inference(duplicate_literal_removal,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ object(X0)
| ~ object(X1)
| ~ exemplifies_property(conceivable,X0)
| ~ exemplifies_property(none_greater,X1)
| ~ exemplifies_property(none_greater,X0)
| X0 = X1
| ~ object(X1)
| ~ exemplifies_property(none_greater,X1) ),
inference(resolution,[],[f38,f22]) ).
fof(f38,plain,
! [X0,X1] :
( ~ exemplifies_property(conceivable,X0)
| ~ exemplifies_property(conceivable,X1)
| X0 = X1
| ~ exemplifies_property(none_greater,X1)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X1)
| ~ object(X0) ),
inference(duplicate_literal_removal,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( X0 = X1
| ~ exemplifies_property(conceivable,X0)
| ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1)
| ~ exemplifies_property(conceivable,X1)
| ~ object(X1)
| ~ object(X0) ),
inference(resolution,[],[f36,f23]) ).
fof(f23,plain,
! [X2,X0] :
( ~ exemplifies_relation(greater_than,X2,X0)
| ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X2)
| ~ object(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f36,plain,
! [X0,X1] :
( exemplifies_relation(greater_than,X0,X1)
| ~ object(X1)
| ~ object(X0)
| ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_property(none_greater,X0)
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| X0 = X1
| ~ object(X1)
| ~ object(X1)
| exemplifies_relation(greater_than,X0,X1)
| ~ exemplifies_property(conceivable,X1)
| ~ object(X0) ),
inference(resolution,[],[f27,f23]) ).
fof(f27,plain,
! [X0,X1] :
( exemplifies_relation(greater_than,X0,X1)
| exemplifies_relation(greater_than,X1,X0)
| ~ object(X0)
| X0 = X1
| ~ object(X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( exemplifies_relation(greater_than,X0,X1)
| ~ object(X1)
| X0 = X1
| ~ object(X0)
| exemplifies_relation(greater_than,X1,X0) ),
inference(rectify,[],[f8]) ).
fof(f8,plain,
! [X1,X0] :
( exemplifies_relation(greater_than,X1,X0)
| ~ object(X0)
| X0 = X1
| ~ object(X1)
| exemplifies_relation(greater_than,X0,X1) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
! [X1,X0] :
( exemplifies_relation(greater_than,X0,X1)
| exemplifies_relation(greater_than,X1,X0)
| X0 = X1
| ~ object(X0)
| ~ object(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
! [X1,X0] :
( ( object(X0)
& object(X1) )
=> ( exemplifies_relation(greater_than,X0,X1)
| exemplifies_relation(greater_than,X1,X0)
| X0 = X1 ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ( object(X0)
& object(X1) )
=> ( exemplifies_relation(greater_than,X1,X0)
| X0 = X1
| exemplifies_relation(greater_than,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connectedness_of_greater_than) ).
fof(f32,plain,
! [X0] :
( sK1(X0) != X0
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PHI012+1 : TPTP v8.1.0. Released v7.2.0.
% 0.11/0.13 % 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 : n003.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 10:02:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (20531)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (20531)First to succeed.
% 0.19/0.50 % (20524)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50 % (20541)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (20531)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (20531)------------------------------
% 0.19/0.51 % (20531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (20531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (20531)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (20531)Memory used [KB]: 1023
% 0.19/0.51 % (20531)Time elapsed: 0.110 s
% 0.19/0.51 % (20531)Instructions burned: 3 (million)
% 0.19/0.51 % (20531)------------------------------
% 0.19/0.51 % (20531)------------------------------
% 0.19/0.51 % (20521)Success in time 0.161 s
%------------------------------------------------------------------------------