%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV059+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 0.20s 0.41s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 28 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 139 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 182 ( 71 ~; 71 |; 21 &)
% ( 13 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(true_type,type,
true: $o ).
tff(gt_type,type,
gt: ( $i * $i ) > $o ).
tff(n1_type,type,
n1: $i ).
tff(plus_type,type,
plus: ( $i * $i ) > $i ).
tff(loopcounter_type,type,
loopcounter: $i ).
tff(geq_type,type,
geq: ( $i * $i ) > $o ).
tff(tptp_float_0_001_type,type,
tptp_float_0_001: $i ).
tff(pv72_type,type,
pv72: $i ).
tff(1,plain,
( true
<=> true ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
true,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',ttrue) ).
tff(3,plain,
true,
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( ~ gt(plus(n1,loopcounter),n1)
| true
| ~ true ),
inference(tautology,[status(thm)],[]) ).
tff(5,plain,
( ~ gt(plus(n1,loopcounter),n1)
| true ),
inference(unit_resolution,[status(thm)],[4,3]) ).
tff(6,plain,
( gt(plus(n1,loopcounter),n1)
| true
| ~ true ),
inference(tautology,[status(thm)],[]) ).
tff(7,plain,
( gt(plus(n1,loopcounter),n1)
| true ),
inference(unit_resolution,[status(thm)],[6,3]) ).
tff(8,plain,
( ~ ~ ( ~ ( gt(plus(n1,loopcounter),n1)
| true )
| ~ ( ~ gt(plus(n1,loopcounter),n1)
| true ) )
<=> ( ~ ( gt(plus(n1,loopcounter),n1)
| true )
| ~ ( ~ gt(plus(n1,loopcounter),n1)
| true ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(9,plain,
( ( ( gt(plus(n1,loopcounter),n1)
| true )
& ( ~ gt(plus(n1,loopcounter),n1)
| true ) )
<=> ~ ( ~ ( gt(plus(n1,loopcounter),n1)
| true )
| ~ ( ~ gt(plus(n1,loopcounter),n1)
| true ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(10,plain,
( ( ~ gt(plus(n1,loopcounter),n1)
| true )
<=> ( ~ gt(plus(n1,loopcounter),n1)
| true ) ),
inference(rewrite,[status(thm)],[]) ).
tff(11,plain,
( ( gt(plus(n1,loopcounter),n1)
| true )
<=> ( gt(plus(n1,loopcounter),n1)
| true ) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,plain,
( ( ( gt(plus(n1,loopcounter),n1)
| true )
& ( ~ gt(plus(n1,loopcounter),n1)
| true ) )
<=> ( ( gt(plus(n1,loopcounter),n1)
| true )
& ( ~ gt(plus(n1,loopcounter),n1)
| true ) ) ),
inference(monotonicity,[status(thm)],[11,10]) ).
tff(13,plain,
( ( ( gt(plus(n1,loopcounter),n1)
| true )
& ( ~ gt(plus(n1,loopcounter),n1)
| true ) )
<=> ~ ( ~ ( gt(plus(n1,loopcounter),n1)
| true )
| ~ ( ~ gt(plus(n1,loopcounter),n1)
| true ) ) ),
inference(transitivity,[status(thm)],[12,9]) ).
tff(14,plain,
( ~ ( ( gt(plus(n1,loopcounter),n1)
| true )
& ( ~ gt(plus(n1,loopcounter),n1)
| true ) )
<=> ~ ~ ( ~ ( gt(plus(n1,loopcounter),n1)
| true )
| ~ ( ~ gt(plus(n1,loopcounter),n1)
| true ) ) ),
inference(monotonicity,[status(thm)],[13]) ).
tff(15,plain,
( ~ ( ( gt(plus(n1,loopcounter),n1)
| true )
& ( ~ gt(plus(n1,loopcounter),n1)
| true ) )
<=> ( ~ ( gt(plus(n1,loopcounter),n1)
| true )
| ~ ( ~ gt(plus(n1,loopcounter),n1)
| true ) ) ),
inference(transitivity,[status(thm)],[14,8]) ).
tff(16,plain,
( ( ( gt(plus(n1,loopcounter),n1)
| true )
& ( ~ gt(plus(n1,loopcounter),n1)
| true ) )
<=> ( ( gt(plus(n1,loopcounter),n1)
| true )
& ( ~ gt(plus(n1,loopcounter),n1)
| true ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,plain,
( ~ ( ( gt(plus(n1,loopcounter),n1)
| true )
& ( ~ gt(plus(n1,loopcounter),n1)
| true ) )
<=> ~ ( ( gt(plus(n1,loopcounter),n1)
| true )
& ( ~ gt(plus(n1,loopcounter),n1)
| true ) ) ),
inference(monotonicity,[status(thm)],[16]) ).
tff(18,plain,
( ~ ( ( gt(plus(n1,loopcounter),n1)
| true )
& ( ~ gt(plus(n1,loopcounter),n1)
| true ) )
<=> ~ ( ( gt(plus(n1,loopcounter),n1)
| true )
& ( ~ gt(plus(n1,loopcounter),n1)
| true ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(19,plain,
( ~ ( geq(pv72,tptp_float_0_001)
=> ( ( ~ gt(plus(n1,loopcounter),n1)
=> true )
& ( gt(plus(n1,loopcounter),n1)
=> true ) ) )
<=> ~ ( ~ geq(pv72,tptp_float_0_001)
| ( ( gt(plus(n1,loopcounter),n1)
| true )
& ( ~ gt(plus(n1,loopcounter),n1)
| true ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,axiom,
~ ( geq(pv72,tptp_float_0_001)
=> ( ( ~ gt(plus(n1,loopcounter),n1)
=> true )
& ( gt(plus(n1,loopcounter),n1)
=> true ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_norm_0049) ).
tff(21,plain,
~ ( ~ geq(pv72,tptp_float_0_001)
| ( ( gt(plus(n1,loopcounter),n1)
| true )
& ( ~ gt(plus(n1,loopcounter),n1)
| true ) ) ),
inference(modus_ponens,[status(thm)],[20,19]) ).
tff(22,plain,
~ ( ( gt(plus(n1,loopcounter),n1)
| true )
& ( ~ gt(plus(n1,loopcounter),n1)
| true ) ),
inference(or_elim,[status(thm)],[21]) ).
tff(23,plain,
~ ( ( gt(plus(n1,loopcounter),n1)
| true )
& ( ~ gt(plus(n1,loopcounter),n1)
| true ) ),
inference(modus_ponens,[status(thm)],[22,17]) ).
tff(24,plain,
~ ( ( gt(plus(n1,loopcounter),n1)
| true )
& ( ~ gt(plus(n1,loopcounter),n1)
| true ) ),
inference(modus_ponens,[status(thm)],[23,18]) ).
tff(25,plain,
~ ( ( gt(plus(n1,loopcounter),n1)
| true )
& ( ~ gt(plus(n1,loopcounter),n1)
| true ) ),
inference(modus_ponens,[status(thm)],[24,17]) ).
tff(26,plain,
~ ( ( gt(plus(n1,loopcounter),n1)
| true )
& ( ~ gt(plus(n1,loopcounter),n1)
| true ) ),
inference(modus_ponens,[status(thm)],[25,17]) ).
tff(27,plain,
( ~ ( gt(plus(n1,loopcounter),n1)
| true )
| ~ ( ~ gt(plus(n1,loopcounter),n1)
| true ) ),
inference(modus_ponens,[status(thm)],[26,15]) ).
tff(28,plain,
$false,
inference(unit_resolution,[status(thm)],[27,7,5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV059+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.04/0.12 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n001.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 09:30:50 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.20/0.41 % SZS status Theorem
% 0.20/0.41 % SZS output start Proof
% See solution above
% 0.20/0.41 % E exiting
%------------------------------------------------------------------------------