%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV226+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n027.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 04:46:19 PM UTC 2025
% Result : Theorem 0.18s 0.35s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 171 ( 146 equ)
% Maximal formula atoms : 81 ( 19 avg)
% Number of connectives : 229 ( 67 ~; 2 |; 150 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0601,plain,
( ( ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n2) )
=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) )
=> ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
=> ( ( ~ ( n0 = E
& n3 = F )
& ~ ( n0 = E
& n4 = F )
& ~ ( n0 = E
& n5 = F )
& ~ ( n0 = F
& n2 = E )
& ~ ( n0 = F
& n3 = E )
& ~ ( n0 = F
& n4 = E )
& ~ ( n0 = F
& n5 = E )
& ~ ( n1 = E
& n2 = F )
& ~ ( n1 = E
& n3 = F )
& ~ ( n1 = E
& n4 = F )
& ~ ( n1 = E
& n5 = F )
& ~ ( n1 = F
& n2 = E )
& ~ ( n1 = F
& n3 = E )
& ~ ( n1 = F
& n4 = E )
& ~ ( n1 = F
& n5 = E )
& ~ ( n2 = E
& n2 = F )
& ~ ( n2 = E
& n3 = F )
& ~ ( n2 = E
& n4 = F )
& ~ ( n2 = E
& n5 = F )
& ~ ( n2 = F
& n3 = E )
& ~ ( n2 = F
& n4 = E )
& ~ ( n2 = F
& n5 = E )
& ~ ( n3 = E
& n3 = F )
& ~ ( n3 = E
& n4 = F )
& ~ ( n3 = E
& n5 = F )
& ~ ( n3 = F
& n4 = E )
& ~ ( n3 = F
& n5 = E )
& ~ ( n4 = E
& n4 = F )
& ~ ( n4 = E
& n5 = F )
& ~ ( n4 = F
& n5 = E )
& ~ ( n5 = E
& n5 = F )
& n1 = E
& n1 = F
& n2 = E
& n2 = F )
=> a_select2(xinit_noise,n1) = a_select2(xinit_noise,n2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0601) ).
fof(quaternion_ds1_symm_0601_negated,plain,
~ ( ( ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n2) )
=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) )
=> ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
=> ( ( ~ ( n0 = E
& n3 = F )
& ~ ( n0 = E
& n4 = F )
& ~ ( n0 = E
& n5 = F )
& ~ ( n0 = F
& n2 = E )
& ~ ( n0 = F
& n3 = E )
& ~ ( n0 = F
& n4 = E )
& ~ ( n0 = F
& n5 = E )
& ~ ( n1 = E
& n2 = F )
& ~ ( n1 = E
& n3 = F )
& ~ ( n1 = E
& n4 = F )
& ~ ( n1 = E
& n5 = F )
& ~ ( n1 = F
& n2 = E )
& ~ ( n1 = F
& n3 = E )
& ~ ( n1 = F
& n4 = E )
& ~ ( n1 = F
& n5 = E )
& ~ ( n2 = E
& n2 = F )
& ~ ( n2 = E
& n3 = F )
& ~ ( n2 = E
& n4 = F )
& ~ ( n2 = E
& n5 = F )
& ~ ( n2 = F
& n3 = E )
& ~ ( n2 = F
& n4 = E )
& ~ ( n2 = F
& n5 = E )
& ~ ( n3 = E
& n3 = F )
& ~ ( n3 = E
& n4 = F )
& ~ ( n3 = E
& n5 = F )
& ~ ( n3 = F
& n4 = E )
& ~ ( n3 = F
& n5 = E )
& ~ ( n4 = E
& n4 = F )
& ~ ( n4 = E
& n5 = F )
& ~ ( n4 = F
& n5 = E )
& ~ ( n5 = E
& n5 = F )
& n1 = E
& n1 = F
& n2 = E
& n2 = F )
=> a_select2(xinit_noise,n1) = a_select2(xinit_noise,n2) ) ) ),
inference(negate_conjecture,[status(cth)],[quaternion_ds1_symm_0601]) ).
cnf(128,plain,
( n2 != sK29
| n1 != sK28 ),
inference(cnf,[status(esa)],[quaternion_ds1_symm_0601_negated]) ).
cnf(l0,plain,
( n2 != sK29
| n1 != sK28 ),
inference(instantiation,[status(thm)],[128]) ).
cnf(155,plain,
n2 = sK29,
inference(cnf,[status(esa)],[quaternion_ds1_symm_0601_negated]) ).
cnf(l4,plain,
n2 = sK29,
inference(instantiation,[status(thm)],[155]) ).
cnf(152,plain,
n1 = sK28,
inference(cnf,[status(esa)],[quaternion_ds1_symm_0601_negated]) ).
cnf(l1,plain,
n1 = sK28,
inference(instantiation,[status(thm)],[152]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV226+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n027.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Jul 22 08:29:19 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.18/0.35 % SZS status Theorem for theBenchmark
% 0.18/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------