%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV123+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n013.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 0.13s 0.39s
% Output : Proof 0.13s
% 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 : 37 ( 0 equ)
% Maximal formula atoms : 17 ( 6 avg)
% Number of connectives : 44 ( 13 ~; 8 |; 8 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 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 : 3 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(true_type,type,
true: $o ).
tff(geq_type,type,
geq: ( $i * $i ) > $o ).
tff(n0_type,type,
n0: $i ).
tff(minus_type,type,
minus: ( $i * $i ) > $i ).
tff(n1_type,type,
n1: $i ).
tff(n3_type,type,
n3: $i ).
tff(n999_type,type,
n999: $i ).
tff(n2_type,type,
n2: $i ).
tff(n6_type,type,
n6: $i ).
tff(1,plain,
( ~ ( geq(minus(n3,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(n2,n0)
& geq(minus(n999,n1),n0) )
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(minus(n3,n1),n0)
& geq(minus(n999,n1),n0) )
=> true ) ) ) ) ) ) )
<=> ~ ( true
| ~ ( geq(minus(n3,n1),n0)
& geq(minus(n999,n1),n0) )
| ~ geq(minus(n6,n1),n0)
| ~ ( geq(n2,n0)
& geq(minus(n999,n1),n0) )
| ~ geq(minus(n3,n1),n0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
~ ( geq(minus(n3,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(n2,n0)
& geq(minus(n999,n1),n0) )
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( geq(minus(n6,n1),n0)
=> ( ( geq(minus(n3,n1),n0)
& geq(minus(n999,n1),n0) )
=> true ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0016) ).
tff(3,plain,
~ ( true
| ~ ( geq(minus(n3,n1),n0)
& geq(minus(n999,n1),n0) )
| ~ geq(minus(n6,n1),n0)
| ~ ( geq(n2,n0)
& geq(minus(n999,n1),n0) )
| ~ geq(minus(n3,n1),n0) ),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
~ true,
inference(or_elim,[status(thm)],[3]) ).
tff(5,axiom,
true,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',ttrue) ).
tff(6,plain,
$false,
inference(unit_resolution,[status(thm)],[5,4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV123+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.08/0.12 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n013.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 : Fri Jun 20 09:27:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.39 % SZS status Theorem
% 0.13/0.39 % SZS output start Proof
% See solution above
% 0.13/0.39 % E exiting
%------------------------------------------------------------------------------