TSTP Solution File: SWV196+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV196+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 May 31 12:40:53 EDT 2023
% Result : Theorem 0.09s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 7 unt; 0 def)
% Number of atoms : 269 ( 151 equ)
% Maximal formula atoms : 52 ( 7 avg)
% Number of connectives : 297 ( 62 ~; 46 |; 174 &)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 44 (; 42 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y,Z] :
( ( gt(X,Y)
& gt(Y,Z) )
=> gt(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y] :
( ( leq(X,Y)
& X != Y )
=> gt(Y,X) ),
file('/export/starexec/sandbox2/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)
& gt(pv5,n0)
& ! [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/sandbox2/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)
& gt(pv5,n0)
& ! [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(f95,plain,
! [X,Y,Z] :
( ~ gt(X,Y)
| ~ gt(Y,Z)
| gt(X,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f96,plain,
! [X,Z] :
( ! [Y] :
( ~ gt(X,Y)
| ~ gt(Y,Z) )
| gt(X,Z) ),
inference(miniscoping,[status(esa)],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ~ gt(X0,X1)
| ~ gt(X1,X2)
| gt(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f96]) ).
fof(f98,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f113,plain,
! [X,Y] :
( ~ leq(X,Y)
| X = Y
| gt(Y,X) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f114,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f113]) ).
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)
& gt(pv5,n0)
& ! [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)
& gt(pv5,n0)
& ! [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(f283,plain,
gt(pv5,n0),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f384,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| ~ gt(X1,X0) ),
inference(resolution,[status(thm)],[f97,f98]) ).
fof(f428,plain,
( spl0_10
<=> pv5 = n0 ),
introduced(split_symbol_definition) ).
fof(f429,plain,
( pv5 = n0
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( spl0_11
<=> gt(n0,pv5) ),
introduced(split_symbol_definition) ).
fof(f432,plain,
( gt(n0,pv5)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( pv5 = n0
| gt(n0,pv5) ),
inference(resolution,[status(thm)],[f114,f281]) ).
fof(f435,plain,
( spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f434,f428,f431]) ).
fof(f449,plain,
( spl0_15
<=> gt(pv5,n0) ),
introduced(split_symbol_definition) ).
fof(f450,plain,
( gt(pv5,n0)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,plain,
( n0 = pv5
| gt(pv5,n0) ),
inference(resolution,[status(thm)],[f114,f280]) ).
fof(f453,plain,
( spl0_10
| spl0_15 ),
inference(split_clause,[status(thm)],[f452,f428,f449]) ).
fof(f526,plain,
( gt(n0,n0)
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f429,f283]) ).
fof(f527,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f526,f98]) ).
fof(f528,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f527]) ).
fof(f546,plain,
( ~ gt(n0,pv5)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f450,f384]) ).
fof(f547,plain,
( $false
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f546,f432]) ).
fof(f548,plain,
( ~ spl0_11
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f547]) ).
fof(f549,plain,
$false,
inference(sat_refutation,[status(thm)],[f435,f453,f528,f548]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV196+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n015.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:55:49 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.09/0.32 % Drodi V3.5.1
% 0.09/0.33 % Refutation found
% 0.09/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.58 % Elapsed time: 0.045534 seconds
% 0.17/0.58 % CPU time: 0.024306 seconds
% 0.17/0.58 % Memory used: 4.304 MB
%------------------------------------------------------------------------------