TSTP Solution File: SWV199+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV199+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%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 : Tue Apr 30 20:46:13 EDT 2024
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 22
% Syntax : Number of formulae : 86 ( 28 unt; 0 def)
% Number of atoms : 362 ( 191 equ)
% Maximal formula atoms : 51 ( 4 avg)
% Number of connectives : 366 ( 90 ~; 81 |; 170 &)
% ( 13 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 14 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 19 con; 0-3 aty)
% Number of variables : 34 ( 32 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X] : pred(succ(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [X] : succ(pred(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n2)
& leq(B,pred(pv5)) )
=> a_select3(u_defuse,A,B) = use )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,pred(pv5)) )
=> a_select3(z_defuse,C,D) = use ) )
=> ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n2)
& leq(F,pv5) )
=> ( ( ~ ( n0 = E
& pv5 = F )
& ~ ( n1 = E
& pv5 = F )
& ~ ( n2 = E
& pv5 = F ) )
=> a_select3(z_defuse,E,F) = use ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n2)
& leq(B,pred(pv5)) )
=> a_select3(u_defuse,A,B) = use )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,pred(pv5)) )
=> a_select3(z_defuse,C,D) = use ) )
=> ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n2)
& leq(F,pv5) )
=> ( ( ~ ( n0 = E
& pv5 = F )
& ~ ( n1 = E
& pv5 = F )
& ~ ( n2 = E
& pv5 = F ) )
=> a_select3(z_defuse,E,F) = use ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f61,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,axiom,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,axiom,
! [X] :
( ( leq(n0,X)
& leq(X,n0) )
=> X = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f87,axiom,
! [X] :
( ( leq(n0,X)
& leq(X,n2) )
=> ( X = n0
| X = n1
| X = n2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f98,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f218,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f219,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f251,plain,
( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& ! [A,B] :
( ~ leq(n0,A)
| ~ leq(n0,B)
| ~ leq(A,n2)
| ~ leq(B,pred(pv5))
| a_select3(u_defuse,A,B) = use )
& ! [C,D] :
( ~ leq(n0,C)
| ~ leq(n0,D)
| ~ leq(C,n2)
| ~ leq(D,pred(pv5))
| a_select3(z_defuse,C,D) = use )
& ? [E,F] :
( leq(n0,E)
& leq(n0,F)
& leq(E,n2)
& leq(F,pv5)
& ( n0 != E
| pv5 != F )
& ( n1 != E
| pv5 != F )
& ( n2 != E
| pv5 != F )
& a_select3(z_defuse,E,F) != use ) ),
inference(pre_NNF_transformation,[status(esa)],[f54]) ).
fof(f252,plain,
( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& ! [A,B] :
( ~ leq(n0,A)
| ~ leq(n0,B)
| ~ leq(A,n2)
| ~ leq(B,pred(pv5))
| a_select3(u_defuse,A,B) = use )
& ! [C,D] :
( ~ leq(n0,C)
| ~ leq(n0,D)
| ~ leq(C,n2)
| ~ leq(D,pred(pv5))
| a_select3(z_defuse,C,D) = use )
& leq(n0,sk0_23)
& leq(n0,sk0_24)
& leq(sk0_23,n2)
& leq(sk0_24,pv5)
& ( n0 != sk0_23
| pv5 != sk0_24 )
& ( n1 != sk0_23
| pv5 != sk0_24 )
& ( n2 != sk0_23
| pv5 != sk0_24 )
& a_select3(z_defuse,sk0_23,sk0_24) != use ),
inference(skolemization,[status(esa)],[f251]) ).
fof(f280,plain,
leq(n0,pv5),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f281,plain,
leq(pv5,n0),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f285,plain,
leq(n0,sk0_23),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f286,plain,
leq(n0,sk0_24),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f287,plain,
leq(sk0_23,n2),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f288,plain,
leq(sk0_24,pv5),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f289,plain,
( n0 != sk0_23
| pv5 != sk0_24 ),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f290,plain,
( n1 != sk0_23
| pv5 != sk0_24 ),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f291,plain,
( n2 != sk0_23
| pv5 != sk0_24 ),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f299,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f306,plain,
gt(n1,n0),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f325,plain,
! [X] :
( ~ leq(n0,X)
| ~ leq(X,n0)
| X = n0 ),
inference(pre_NNF_transformation,[status(esa)],[f85]) ).
fof(f326,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| X0 = n0 ),
inference(cnf_transformation,[status(esa)],[f325]) ).
fof(f329,plain,
! [X] :
( ~ leq(n0,X)
| ~ leq(X,n2)
| X = n0
| X = n1
| X = n2 ),
inference(pre_NNF_transformation,[status(esa)],[f87]) ).
fof(f330,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| X0 = n0
| X0 = n1
| X0 = n2 ),
inference(cnf_transformation,[status(esa)],[f329]) ).
fof(f335,plain,
succ(n0) = n1,
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f365,plain,
( spl0_0
<=> n0 = sk0_23 ),
introduced(split_symbol_definition) ).
fof(f368,plain,
( spl0_1
<=> pv5 = sk0_24 ),
introduced(split_symbol_definition) ).
fof(f370,plain,
( pv5 != sk0_24
| spl0_1 ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f289,f365,f368]) ).
fof(f372,plain,
( spl0_2
<=> n1 = sk0_23 ),
introduced(split_symbol_definition) ).
fof(f375,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f290,f372,f368]) ).
fof(f376,plain,
( spl0_3
<=> n2 = sk0_23 ),
introduced(split_symbol_definition) ).
fof(f379,plain,
( ~ spl0_3
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f291,f376,f368]) ).
fof(f457,plain,
pred(n1) = n0,
inference(paramodulation,[status(thm)],[f335,f218]) ).
fof(f497,plain,
( spl0_19
<=> leq(n0,pv5) ),
introduced(split_symbol_definition) ).
fof(f499,plain,
( ~ leq(n0,pv5)
| spl0_19 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,plain,
( spl0_20
<=> n0 = pv5 ),
introduced(split_symbol_definition) ).
fof(f501,plain,
( n0 = pv5
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f512,plain,
( $false
| spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f499,f280]) ).
fof(f513,plain,
spl0_19,
inference(contradiction_clause,[status(thm)],[f512]) ).
fof(f514,plain,
( leq(sk0_24,n0)
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f501,f288]) ).
fof(f523,plain,
( n0 != sk0_24
| ~ spl0_20
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f501,f370]) ).
fof(f581,plain,
( spl0_25
<=> leq(n0,sk0_23) ),
introduced(split_symbol_definition) ).
fof(f583,plain,
( ~ leq(n0,sk0_23)
| spl0_25 ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f599,plain,
( $false
| spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f583,f285]) ).
fof(f600,plain,
spl0_25,
inference(contradiction_clause,[status(thm)],[f599]) ).
fof(f604,plain,
( spl0_30
<=> n1 = n0 ),
introduced(split_symbol_definition) ).
fof(f605,plain,
( n1 = n0
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f624,plain,
( spl0_32
<=> n0 = tptp_minus_1 ),
introduced(split_symbol_definition) ).
fof(f625,plain,
( n0 = tptp_minus_1
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f642,plain,
( ~ leq(n0,pv5)
| pv5 = n0 ),
inference(resolution,[status(thm)],[f326,f281]) ).
fof(f643,plain,
( ~ spl0_19
| spl0_20 ),
inference(split_clause,[status(thm)],[f642,f497,f500]) ).
fof(f672,plain,
succ(n0) = n1,
inference(paramodulation,[status(thm)],[f457,f219]) ).
fof(f716,plain,
( spl0_41
<=> leq(n0,sk0_24) ),
introduced(split_symbol_definition) ).
fof(f718,plain,
( ~ leq(n0,sk0_24)
| spl0_41 ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,plain,
( spl0_42
<=> sk0_24 = n0 ),
introduced(split_symbol_definition) ).
fof(f720,plain,
( sk0_24 = n0
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,plain,
( ~ leq(n0,sk0_24)
| sk0_24 = n0
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f514,f326]) ).
fof(f723,plain,
( ~ spl0_41
| spl0_42
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f722,f716,f719,f500]) ).
fof(f724,plain,
( $false
| spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f718,f286]) ).
fof(f725,plain,
spl0_41,
inference(contradiction_clause,[status(thm)],[f724]) ).
fof(f726,plain,
( $false
| ~ spl0_20
| spl0_1
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f720,f523]) ).
fof(f727,plain,
( ~ spl0_20
| spl0_1
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f726]) ).
fof(f730,plain,
( gt(n0,n0)
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f605,f306]) ).
fof(f731,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f730,f98]) ).
fof(f732,plain,
~ spl0_30,
inference(contradiction_clause,[status(thm)],[f731]) ).
fof(f741,plain,
( gt(n0,n0)
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f625,f299]) ).
fof(f742,plain,
( $false
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f741,f98]) ).
fof(f743,plain,
~ spl0_32,
inference(contradiction_clause,[status(thm)],[f742]) ).
fof(f779,plain,
( spl0_46
<=> n1 = succ(n0) ),
introduced(split_symbol_definition) ).
fof(f781,plain,
( n1 != succ(n0)
| spl0_46 ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f829,plain,
( spl0_51
<=> leq(sk0_23,n2) ),
introduced(split_symbol_definition) ).
fof(f831,plain,
( ~ leq(sk0_23,n2)
| spl0_51 ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f834,plain,
( $false
| spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f831,f287]) ).
fof(f835,plain,
spl0_51,
inference(contradiction_clause,[status(thm)],[f834]) ).
fof(f858,plain,
( $false
| spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f672,f781]) ).
fof(f859,plain,
spl0_46,
inference(contradiction_clause,[status(thm)],[f858]) ).
fof(f865,plain,
( ~ leq(n0,sk0_23)
| sk0_23 = n0
| sk0_23 = n1
| sk0_23 = n2 ),
inference(resolution,[status(thm)],[f330,f287]) ).
fof(f866,plain,
( ~ spl0_25
| spl0_0
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f865,f581,f365,f372,f376]) ).
fof(f883,plain,
$false,
inference(sat_refutation,[status(thm)],[f371,f375,f379,f513,f600,f643,f723,f725,f727,f732,f743,f835,f859,f866]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV199+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%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 Apr 30 00:55:48 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.41 % Elapsed time: 0.070875 seconds
% 0.19/0.41 % CPU time: 0.411889 seconds
% 0.19/0.41 % Total memory used: 71.132 MB
% 0.19/0.41 % Net memory used: 70.813 MB
%------------------------------------------------------------------------------