%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV219+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 : n031.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 04:46:18 PM UTC 2025
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 73 ( 64 equ)
% Maximal formula atoms : 32 ( 8 avg)
% Number of connectives : 93 ( 29 ~; 2 |; 58 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0321,plain,
! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( ( ~ ( n0 = A
& n5 = B )
& ~ ( n0 = B
& n5 = A )
& ~ ( n1 = A
& n5 = B )
& ~ ( n1 = B
& n5 = A )
& ~ ( n2 = A
& n5 = B )
& ~ ( n2 = B
& n5 = A )
& ~ ( n3 = A
& n5 = B )
& ~ ( n3 = B
& n5 = A )
& ~ ( n4 = A
& n4 = B )
& ~ ( n4 = A
& n5 = B )
& ~ ( n4 = B
& n5 = A )
& ~ ( n5 = A
& n5 = B )
& n3 = A
& n4 = A
& n4 = B )
=> times(divide(n1,n400),a_select2(sigma,n4)) = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0321) ).
fof(quaternion_ds1_symm_0321_negated,plain,
~ ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> ( ( ~ ( n0 = A
& n5 = B )
& ~ ( n0 = B
& n5 = A )
& ~ ( n1 = A
& n5 = B )
& ~ ( n1 = B
& n5 = A )
& ~ ( n2 = A
& n5 = B )
& ~ ( n2 = B
& n5 = A )
& ~ ( n3 = A
& n5 = B )
& ~ ( n3 = B
& n5 = A )
& ~ ( n4 = A
& n4 = B )
& ~ ( n4 = A
& n5 = B )
& ~ ( n4 = B
& n5 = A )
& ~ ( n5 = A
& n5 = B )
& n3 = A
& n4 = A
& n4 = B )
=> times(divide(n1,n400),a_select2(sigma,n4)) = n0 ) ),
inference(negate_conjecture,[status(cth)],[quaternion_ds1_symm_0321]) ).
cnf(127,plain,
( n4 != sK28
| n4 != sK29 ),
inference(cnf,[status(esa)],[quaternion_ds1_symm_0321_negated]) ).
cnf(l0,plain,
( n4 != sK28
| n4 != sK29 ),
inference(instantiation,[status(thm)],[127]) ).
cnf(133,plain,
n4 = sK29,
inference(cnf,[status(esa)],[quaternion_ds1_symm_0321_negated]) ).
cnf(l2,plain,
n4 = sK29,
inference(instantiation,[status(thm)],[133]) ).
cnf(132,plain,
n4 = sK28,
inference(cnf,[status(esa)],[quaternion_ds1_symm_0321_negated]) ).
cnf(l1,plain,
n4 = sK28,
inference(instantiation,[status(thm)],[132]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV219+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n031.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 Jul 22 08:28:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------