%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN028-1 : TPTP v9.0.0. Released v1.0.0.
% 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 05:37:58 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 37 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 112 ( 50 ~; 53 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 6 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(t_type,type,
t: $o ).
tff(p_type,type,
p: $o ).
tff(r_type,type,
r: $o ).
tff(q_type,type,
q: $o ).
tff(s_type,type,
s: $o ).
tff(1,axiom,
~ p,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_something) ).
tff(2,plain,
( ( ~ t
| p )
<=> ( p
| ~ t ) ),
inference(rewrite,[status(thm)],[]) ).
tff(3,axiom,
( ~ t
| p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
tff(4,plain,
( p
| ~ t ),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
~ t,
inference(unit_resolution,[status(thm)],[4,1]) ).
tff(6,plain,
( ( q
| p )
<=> ( q
| p ) ),
inference(rewrite,[status(thm)],[]) ).
tff(7,axiom,
( q
| p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
tff(8,plain,
( q
| p ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
( q
| p ),
inference(modus_ponens,[status(thm)],[8,6]) ).
tff(10,plain,
( q
| p ),
inference(modus_ponens,[status(thm)],[9,6]) ).
tff(11,plain,
( q
| p ),
inference(modus_ponens,[status(thm)],[10,6]) ).
tff(12,plain,
q,
inference(unit_resolution,[status(thm)],[11,1]) ).
tff(13,plain,
( ( ~ q
| r )
<=> ( ~ q
| r ) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,axiom,
( ~ q
| r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
tff(15,plain,
( ~ q
| r ),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
( ~ q
| r ),
inference(modus_ponens,[status(thm)],[15,13]) ).
tff(17,plain,
( ~ q
| r ),
inference(modus_ponens,[status(thm)],[16,13]) ).
tff(18,plain,
( ~ q
| r ),
inference(modus_ponens,[status(thm)],[17,13]) ).
tff(19,plain,
r,
inference(unit_resolution,[status(thm)],[18,12]) ).
tff(20,plain,
( ( ~ r
| s )
<=> ( ~ r
| s ) ),
inference(rewrite,[status(thm)],[]) ).
tff(21,axiom,
( ~ r
| s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
tff(22,plain,
( ~ r
| s ),
inference(modus_ponens,[status(thm)],[21,20]) ).
tff(23,plain,
( ~ r
| s ),
inference(modus_ponens,[status(thm)],[22,20]) ).
tff(24,plain,
( ~ r
| s ),
inference(modus_ponens,[status(thm)],[23,20]) ).
tff(25,plain,
( ~ r
| s ),
inference(modus_ponens,[status(thm)],[24,20]) ).
tff(26,plain,
s,
inference(unit_resolution,[status(thm)],[25,19]) ).
tff(27,plain,
( ( ~ r
| ~ s
| t )
<=> ( ~ r
| ~ s
| t ) ),
inference(rewrite,[status(thm)],[]) ).
tff(28,plain,
( ( ~ r
| ~ s
| t )
<=> ( ~ r
| ~ s
| t ) ),
inference(rewrite,[status(thm)],[]) ).
tff(29,plain,
( ( ~ s
| ~ r )
<=> ( ~ r
| ~ s ) ),
inference(rewrite,[status(thm)],[]) ).
tff(30,plain,
( ( ~ s
| ~ r
| t )
<=> ( ~ r
| ~ s
| t ) ),
inference(monotonicity,[status(thm)],[29]) ).
tff(31,plain,
( ( ~ s
| ~ r
| t )
<=> ( ~ r
| ~ s
| t ) ),
inference(transitivity,[status(thm)],[30,28]) ).
tff(32,axiom,
( ~ s
| ~ r
| t ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
tff(33,plain,
( ~ r
| ~ s
| t ),
inference(modus_ponens,[status(thm)],[32,31]) ).
tff(34,plain,
( ~ r
| ~ s
| t ),
inference(modus_ponens,[status(thm)],[33,27]) ).
tff(35,plain,
( ~ r
| ~ s
| t ),
inference(modus_ponens,[status(thm)],[34,27]) ).
tff(36,plain,
( ~ r
| ~ s
| t ),
inference(modus_ponens,[status(thm)],[35,27]) ).
tff(37,plain,
$false,
inference(unit_resolution,[status(thm)],[36,26,19,5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN028-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 12:26:32 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.37 % SZS status Unsatisfiable
% 0.12/0.37 % SZS output start Proof
% See solution above
% 0.12/0.37 % E exiting
%------------------------------------------------------------------------------