%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV121+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 : 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 04:46:07 PM UTC 2025
% Result : Theorem 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 38 ( 6 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 33 ( 3 ~; 0 |; 22 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0014,plain,
( ( ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,minus(n6,n1))
& leq(B,minus(n6,n1)) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,minus(n3,n1))
& leq(D,minus(n3,n1)) )
=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
& ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,minus(n6,n1))
& leq(F,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) ) )
=> true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0014) ).
fof(quaternion_ds1_symm_0014_negated,plain,
~ ( ( ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,minus(n6,n1))
& leq(B,minus(n6,n1)) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,minus(n3,n1))
& leq(D,minus(n3,n1)) )
=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
& ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,minus(n6,n1))
& leq(F,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) ) )
=> true ),
inference(negate_conjecture,[status(cth)],[quaternion_ds1_symm_0014]) ).
cnf(118,plain,
~ true,
inference(cnf,[status(esa)],[quaternion_ds1_symm_0014_negated]) ).
cnf(l0,plain,
~ true,
inference(instantiation,[status(thm)],[118]) ).
fof(ttrue,plain,
true,
file('Axioms/SWV003+0.ax',ttrue) ).
cnf(113,plain,
true,
inference(cnf,[status(esa)],[ttrue]) ).
cnf(l5,plain,
true,
inference(instantiation,[status(thm)],[113]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV121+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Jul 22 08:15:49 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------