TSTP Solution File: SWV198+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV198+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 0.17s 0.44s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of formulae : 91 ( 31 unt; 0 def)
% Number of atoms : 350 ( 172 equ)
% Maximal formula atoms : 45 ( 3 avg)
% Number of connectives : 347 ( 88 ~; 84 |; 154 &)
% ( 11 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 12 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) )
=> a_select3(u_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) )
=> a_select3(u_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)
& a_select3(u_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)
& a_select3(u_defuse,sk0_23,sk0_24) != use ),
inference(skolemization,[status(esa)],[f251]) ).
fof(f262,plain,
a_select3(u_defuse,n0,n0) = use,
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f263,plain,
a_select3(u_defuse,n1,n0) = use,
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f264,plain,
a_select3(u_defuse,n2,n0) = use,
inference(cnf_transformation,[status(esa)],[f252]) ).
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,
a_select3(u_defuse,sk0_23,sk0_24) != use,
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f296,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f303,plain,
gt(n1,n0),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f322,plain,
! [X] :
( ~ leq(n0,X)
| ~ leq(X,n0)
| X = n0 ),
inference(pre_NNF_transformation,[status(esa)],[f85]) ).
fof(f323,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| X0 = n0 ),
inference(cnf_transformation,[status(esa)],[f322]) ).
fof(f326,plain,
! [X] :
( ~ leq(n0,X)
| ~ leq(X,n2)
| X = n0
| X = n1
| X = n2 ),
inference(pre_NNF_transformation,[status(esa)],[f87]) ).
fof(f327,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| X0 = n0
| X0 = n1
| X0 = n2 ),
inference(cnf_transformation,[status(esa)],[f326]) ).
fof(f332,plain,
succ(n0) = n1,
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f448,plain,
pred(n1) = n0,
inference(paramodulation,[status(thm)],[f332,f218]) ).
fof(f491,plain,
( spl0_15
<=> leq(n0,pv5) ),
introduced(split_symbol_definition) ).
fof(f493,plain,
( ~ leq(n0,pv5)
| spl0_15 ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,plain,
( spl0_16
<=> n0 = pv5 ),
introduced(split_symbol_definition) ).
fof(f495,plain,
( n0 = pv5
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f506,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f493,f280]) ).
fof(f507,plain,
spl0_15,
inference(contradiction_clause,[status(thm)],[f506]) ).
fof(f508,plain,
( leq(sk0_24,n0)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f495,f288]) ).
fof(f576,plain,
( spl0_21
<=> leq(n0,sk0_23) ),
introduced(split_symbol_definition) ).
fof(f578,plain,
( ~ leq(n0,sk0_23)
| spl0_21 ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f594,plain,
( $false
| spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f578,f285]) ).
fof(f595,plain,
spl0_21,
inference(contradiction_clause,[status(thm)],[f594]) ).
fof(f599,plain,
( spl0_26
<=> n1 = n0 ),
introduced(split_symbol_definition) ).
fof(f600,plain,
( n1 = n0
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f619,plain,
( spl0_28
<=> n0 = tptp_minus_1 ),
introduced(split_symbol_definition) ).
fof(f620,plain,
( n0 = tptp_minus_1
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f637,plain,
( ~ leq(n0,pv5)
| pv5 = n0 ),
inference(resolution,[status(thm)],[f323,f281]) ).
fof(f638,plain,
( ~ spl0_15
| spl0_16 ),
inference(split_clause,[status(thm)],[f637,f491,f494]) ).
fof(f667,plain,
succ(n0) = n1,
inference(paramodulation,[status(thm)],[f448,f219]) ).
fof(f712,plain,
( spl0_37
<=> leq(n0,sk0_24) ),
introduced(split_symbol_definition) ).
fof(f714,plain,
( ~ leq(n0,sk0_24)
| spl0_37 ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,plain,
( spl0_38
<=> sk0_24 = n0 ),
introduced(split_symbol_definition) ).
fof(f716,plain,
( sk0_24 = n0
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,plain,
( ~ leq(n0,sk0_24)
| sk0_24 = n0
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f508,f323]) ).
fof(f719,plain,
( ~ spl0_37
| spl0_38
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f718,f712,f715,f494]) ).
fof(f720,plain,
( $false
| spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f714,f286]) ).
fof(f721,plain,
spl0_37,
inference(contradiction_clause,[status(thm)],[f720]) ).
fof(f723,plain,
( a_select3(u_defuse,sk0_23,n0) != use
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f716,f289]) ).
fof(f726,plain,
( gt(n0,n0)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f600,f303]) ).
fof(f727,plain,
( $false
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f726,f98]) ).
fof(f728,plain,
~ spl0_26,
inference(contradiction_clause,[status(thm)],[f727]) ).
fof(f738,plain,
( gt(n0,n0)
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f620,f296]) ).
fof(f739,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f738,f98]) ).
fof(f740,plain,
~ spl0_28,
inference(contradiction_clause,[status(thm)],[f739]) ).
fof(f770,plain,
( spl0_41
<=> n1 = succ(n0) ),
introduced(split_symbol_definition) ).
fof(f772,plain,
( n1 != succ(n0)
| spl0_41 ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f847,plain,
( $false
| spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f667,f772]) ).
fof(f848,plain,
spl0_41,
inference(contradiction_clause,[status(thm)],[f847]) ).
fof(f854,plain,
( spl0_49
<=> sk0_23 = n0 ),
introduced(split_symbol_definition) ).
fof(f855,plain,
( sk0_23 = n0
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f857,plain,
( spl0_50
<=> sk0_23 = n1 ),
introduced(split_symbol_definition) ).
fof(f858,plain,
( sk0_23 = n1
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f860,plain,
( spl0_51
<=> sk0_23 = n2 ),
introduced(split_symbol_definition) ).
fof(f861,plain,
( sk0_23 = n2
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f860]) ).
fof(f863,plain,
( ~ leq(n0,sk0_23)
| sk0_23 = n0
| sk0_23 = n1
| sk0_23 = n2 ),
inference(resolution,[status(thm)],[f327,f287]) ).
fof(f864,plain,
( ~ spl0_21
| spl0_49
| spl0_50
| spl0_51 ),
inference(split_clause,[status(thm)],[f863,f576,f854,f857,f860]) ).
fof(f1026,plain,
( a_select3(u_defuse,n0,n0) != use
| ~ spl0_49
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f855,f723]) ).
fof(f1027,plain,
( use != use
| ~ spl0_49
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f262,f1026]) ).
fof(f1028,plain,
( $false
| ~ spl0_49
| ~ spl0_38 ),
inference(trivial_equality_resolution,[status(esa)],[f1027]) ).
fof(f1029,plain,
( ~ spl0_49
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1028]) ).
fof(f1126,plain,
( a_select3(u_defuse,n1,n0) != use
| ~ spl0_50
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f858,f723]) ).
fof(f1127,plain,
( use != use
| ~ spl0_50
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f263,f1126]) ).
fof(f1128,plain,
( $false
| ~ spl0_50
| ~ spl0_38 ),
inference(trivial_equality_resolution,[status(esa)],[f1127]) ).
fof(f1129,plain,
( ~ spl0_50
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1128]) ).
fof(f1253,plain,
( a_select3(u_defuse,n2,n0) != use
| ~ spl0_51
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f861,f723]) ).
fof(f1254,plain,
( use != use
| ~ spl0_51
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f264,f1253]) ).
fof(f1255,plain,
( $false
| ~ spl0_51
| ~ spl0_38 ),
inference(trivial_equality_resolution,[status(esa)],[f1254]) ).
fof(f1256,plain,
( ~ spl0_51
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1255]) ).
fof(f1257,plain,
$false,
inference(sat_refutation,[status(thm)],[f507,f595,f638,f719,f721,f728,f740,f848,f864,f1029,f1129,f1256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWV198+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n032.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 00:42:35 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 0.17/0.44 % Refutation found
% 0.17/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.45 % Elapsed time: 0.127756 seconds
% 0.17/0.45 % CPU time: 0.858077 seconds
% 0.17/0.45 % Total memory used: 76.688 MB
% 0.17/0.45 % Net memory used: 75.927 MB
%------------------------------------------------------------------------------