%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV121+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n006.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 : Sat Jun 21 05:31:32 AM UTC 2025
% Result : Theorem 0.12s 0.38s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 12 equ)
% Maximal formula atoms : 32 ( 11 avg)
% Number of connectives : 74 ( 13 ~; 8 |; 44 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 24 ( 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
tff(true_type,type,
true: $o ).
tff(a_select3_type,type,
a_select3: ( $i * $i * $i ) > $i ).
tff(pminus_ds1_filter_type,type,
pminus_ds1_filter: $i ).
tff(leq_type,type,
leq: ( $i * $i ) > $o ).
tff(minus_type,type,
minus: ( $i * $i ) > $i ).
tff(n1_type,type,
n1: $i ).
tff(n6_type,type,
n6: $i ).
tff(n0_type,type,
n0: $i ).
tff(r_ds1_filter_type,type,
r_ds1_filter: $i ).
tff(n3_type,type,
n3: $i ).
tff(q_ds1_filter_type,type,
q_ds1_filter: $i ).
tff(1,plain,
( ~ ( ( ! [A: $i,B: $i] :
( ( 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: $i,D: $i] :
( ( 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: $i,F: $i] :
( ( 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 )
<=> ~ ( true
| ~ ( ! [A: $i,B: $i] :
( ~ ( 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: $i,D: $i] :
( ~ ( 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: $i,F: $i] :
( ~ ( 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) ) ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
~ ( ( ! [A: $i,B: $i] :
( ( 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: $i,D: $i] :
( ( 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: $i,F: $i] :
( ( 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) ).
tff(3,plain,
~ ( true
| ~ ( ! [A: $i,B: $i] :
( ~ ( 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: $i,D: $i] :
( ~ ( 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: $i,F: $i] :
( ~ ( 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) ) ) ) ),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
~ true,
inference(or_elim,[status(thm)],[3]) ).
tff(5,axiom,
true,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',ttrue) ).
tff(6,plain,
$false,
inference(unit_resolution,[status(thm)],[5,4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV121+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 09:27:20 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.38 % SZS status Theorem
% 0.12/0.38 % SZS output start Proof
% See solution above
% 0.12/0.38 % E exiting
%------------------------------------------------------------------------------