%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV062+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 05:31:25 AM UTC 2025
% Result : Theorem 0.21s 0.38s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 187 ( 0 equ)
% Maximal formula atoms : 24 ( 10 avg)
% Number of connectives : 174 ( 5 ~; 0 |; 146 &)
% ( 16 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(leq_type,type,
leq: ( $i * $i ) > $o ).
tff(minus_type,type,
minus: ( $i * $i ) > $i ).
tff(n1_type,type,
n1: $i ).
tff(n5_type,type,
n5: $i ).
tff(pv43_type,type,
pv43: $i ).
tff(pv41_type,type,
pv41: $i ).
tff(n135300_type,type,
n135300: $i ).
tff(pv10_type,type,
pv10: $i ).
tff(n0_type,type,
n0: $i ).
tff(1,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],[]) ).
tff(2,plain,
( ( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) )
=> ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) ) )
<=> $true ),
inference(rewrite,[status(thm)],[]) ).
tff(3,plain,
( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) )
<=> ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,plain,
( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1)) )
<=> ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,plain,
( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1)) )
<=> ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(6,plain,
( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43) )
<=> ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(7,plain,
( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1)) )
<=> ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1)) ) ),
inference(monotonicity,[status(thm)],[6]) ).
tff(8,plain,
( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1)) )
<=> ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1)) ) ),
inference(transitivity,[status(thm)],[7,5]) ).
tff(9,plain,
( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1)) )
<=> ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1)) ) ),
inference(monotonicity,[status(thm)],[8]) ).
tff(10,plain,
( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1)) )
<=> ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1)) ) ),
inference(transitivity,[status(thm)],[9,4]) ).
tff(11,plain,
( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) )
<=> ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) ) ),
inference(monotonicity,[status(thm)],[10]) ).
tff(12,plain,
( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) )
<=> ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) ) ),
inference(transitivity,[status(thm)],[11,3]) ).
tff(13,plain,
( ( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) )
=> ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) ) )
<=> ( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) )
=> ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) ) ) ),
inference(monotonicity,[status(thm)],[12,12]) ).
tff(14,plain,
( ( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) )
=> ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) ) )
<=> $true ),
inference(transitivity,[status(thm)],[13,2]) ).
tff(15,plain,
( ~ ( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) )
=> ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) ) )
<=> ~ $true ),
inference(monotonicity,[status(thm)],[14]) ).
tff(16,plain,
( ~ ( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) )
=> ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) ) )
<=> $false ),
inference(transitivity,[status(thm)],[15,1]) ).
tff(17,axiom,
~ ( ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) )
=> ( leq(n0,pv10)
& leq(n0,pv41)
& leq(n0,pv43)
& leq(pv10,minus(n135300,n1))
& leq(pv41,minus(n5,n1))
& leq(pv43,minus(n5,n1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0003) ).
tff(18,plain,
$false,
inference(modus_ponens,[status(thm)],[17,16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV062+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n016.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 09:27:17 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.21/0.38 % SZS status Theorem
% 0.21/0.38 % SZS output start Proof
% See solution above
% 0.21/0.39 % E exiting
%------------------------------------------------------------------------------