%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN288-1 : TPTP v9.0.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.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 05:38:40 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.44s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 7 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(q1_type,type,
q1: ( $i * $i * $i ) > $o ).
tff(b_type,type,
b: $i ).
tff(r0_type,type,
r0: $i > $o ).
tff(1,plain,
( ~ q1(b,b,b)
<=> ~ q1(b,b,b) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
~ q1(b,b,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tff(3,plain,
~ q1(b,b,b),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( r0(b)
<=> r0(b) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
tff(6,plain,
r0(b),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
( ( ~ r0(b)
| q1(b,b,b) )
<=> ( ~ r0(b)
| q1(b,b,b) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(8,plain,
( ( q1(b,b,b)
| ~ r0(b) )
<=> ( ~ r0(b)
| q1(b,b,b) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(9,axiom,
( q1(b,b,b)
| ~ r0(b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_120) ).
tff(10,plain,
( ~ r0(b)
| q1(b,b,b) ),
inference(modus_ponens,[status(thm)],[9,8]) ).
tff(11,plain,
( ~ r0(b)
| q1(b,b,b) ),
inference(modus_ponens,[status(thm)],[10,7]) ).
tff(12,plain,
q1(b,b,b),
inference(unit_resolution,[status(thm)],[11,6]) ).
tff(13,plain,
$false,
inference(unit_resolution,[status(thm)],[12,3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN288-1 : TPTP v9.0.0. Released v1.1.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n004.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 12:29:53 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.44 % SZS status Unsatisfiable
% 0.19/0.44 % SZS output start Proof
% See solution above
% 0.19/0.44 % E exiting
%------------------------------------------------------------------------------