%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV206+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 : Fri Jul 25 04:46:17 PM UTC 2025
% Result : Theorem 0.06s 0.27s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 105 ( 64 equ)
% Maximal formula atoms : 42 ( 7 avg)
% Number of connectives : 101 ( 11 ~; 8 |; 74 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-3 aty)
% Number of variables : 14 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0017,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
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n2)
& leq(B,n998) )
=> a_select3(u_defuse,A,B) = use )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n998) )
=> a_select3(z_defuse,C,D) = use ) )
=> ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n2)
& leq(F,n998) )
=> a_select3(u_defuse,E,F) = use ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0017) ).
fof(quaternion_ds1_inuse_0017_negated,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
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n2)
& leq(B,n998) )
=> a_select3(u_defuse,A,B) = use )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n998) )
=> a_select3(z_defuse,C,D) = use ) )
=> ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n2)
& leq(F,n998) )
=> a_select3(u_defuse,E,F) = use ) ),
inference(negate_conjecture,[status(cth)],[quaternion_ds1_inuse_0017]) ).
cnf(142,plain,
( ~ leq(X0,n2)
| ~ leq(X1,n998)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(u_defuse,X0,X1) = use ),
inference(cnf,[status(esa)],[quaternion_ds1_inuse_0017_negated]) ).
cnf(l0,plain,
( ~ leq(sK28,n2)
| ~ leq(sK29,n998)
| ~ leq(n0,sK28)
| ~ leq(n0,sK29)
| a_select3(u_defuse,sK28,sK29) = use ),
inference(instantiation,[status(thm)],[142]) ).
cnf(146,plain,
leq(sK28,n2),
inference(cnf,[status(esa)],[quaternion_ds1_inuse_0017_negated]) ).
cnf(l1,plain,
leq(sK28,n2),
inference(instantiation,[status(thm)],[146]) ).
cnf(144,plain,
leq(n0,sK28),
inference(cnf,[status(esa)],[quaternion_ds1_inuse_0017_negated]) ).
cnf(l5,plain,
leq(n0,sK28),
inference(instantiation,[status(thm)],[144]) ).
cnf(147,plain,
leq(sK29,n998),
inference(cnf,[status(esa)],[quaternion_ds1_inuse_0017_negated]) ).
cnf(l3,plain,
leq(sK29,n998),
inference(instantiation,[status(thm)],[147]) ).
cnf(145,plain,
leq(n0,sK29),
inference(cnf,[status(esa)],[quaternion_ds1_inuse_0017_negated]) ).
cnf(l4,plain,
leq(n0,sK29),
inference(instantiation,[status(thm)],[145]) ).
cnf(148,plain,
a_select3(u_defuse,sK28,sK29) != use,
inference(cnf,[status(esa)],[quaternion_ds1_inuse_0017_negated]) ).
cnf(l2,plain,
a_select3(u_defuse,sK28,sK29) != use,
inference(instantiation,[status(thm)],[148]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5,l3,l4,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07 % Problem : SWV206+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.01/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.25 % Computer : n018.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue Jul 22 08:26:48 EDT 2025
% 0.06/0.25 % CPUTime :
% 0.06/0.26 % launching worker at depth: 1
% 0.06/0.26 % launching worker at depth: 8
% 0.06/0.26 % launching worker at depth: 4
% 0.06/0.26 % launching worker at depth: 3
% 0.06/0.26 % launching worker at depth: 2
% 0.06/0.26 % launching worker at depth: 6
% 0.06/0.26 % launching worker at depth: 7
% 0.06/0.26 % launching worker at depth: 5
% 0.06/0.27 % SZS status Theorem for theBenchmark
% 0.06/0.27 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------