%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN047-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n002.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 05:38:02 AM UTC 2025
% Result : Unsatisfiable 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 27 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 100 ( 40 ~; 52 |; 0 &)
% ( 8 <=>; 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 : 5 ( 4 usr; 5 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(q_type,type,
q: $o ).
tff(s_type,type,
s: $o ).
tff(p_type,type,
p: $o ).
tff(r_type,type,
r: $o ).
tff(1,axiom,
~ s,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
tff(2,axiom,
p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
tff(3,plain,
( ( ~ p
| q
| s )
<=> ( ~ p
| q
| s ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,plain,
( ( ~ p
| q
| s )
<=> ( ~ p
| q
| s ) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,plain,
( ( ~ p
| q )
<=> ( ~ p
| q ) ),
inference(rewrite,[status(thm)],[]) ).
tff(6,plain,
( ( ~ p
| q
| s )
<=> ( ~ p
| q
| s ) ),
inference(monotonicity,[status(thm)],[5]) ).
tff(7,plain,
( ( ~ p
| q
| s )
<=> ( ~ p
| q
| s ) ),
inference(transitivity,[status(thm)],[6,4]) ).
tff(8,axiom,
( ~ p
| q
| s ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
tff(9,plain,
( ~ p
| q
| s ),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
( ~ p
| q
| s ),
inference(modus_ponens,[status(thm)],[9,3]) ).
tff(11,plain,
( ~ p
| q
| s ),
inference(modus_ponens,[status(thm)],[10,3]) ).
tff(12,plain,
( ~ p
| q
| s ),
inference(modus_ponens,[status(thm)],[11,3]) ).
tff(13,plain,
( q
| s ),
inference(unit_resolution,[status(thm)],[12,2]) ).
tff(14,plain,
q,
inference(unit_resolution,[status(thm)],[13,1]) ).
tff(15,plain,
( ( ~ p
| s
| ~ r )
<=> ( ~ p
| s
| ~ r ) ),
inference(rewrite,[status(thm)],[]) ).
tff(16,plain,
( ( ~ p
| ~ r
| s )
<=> ( ~ p
| s
| ~ r ) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,axiom,
( ~ p
| ~ r
| s ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
tff(18,plain,
( ~ p
| s
| ~ r ),
inference(modus_ponens,[status(thm)],[17,16]) ).
tff(19,plain,
( ~ p
| s
| ~ r ),
inference(modus_ponens,[status(thm)],[18,15]) ).
tff(20,plain,
( ~ p
| s
| ~ r ),
inference(modus_ponens,[status(thm)],[19,15]) ).
tff(21,plain,
( ~ p
| s
| ~ r ),
inference(modus_ponens,[status(thm)],[20,15]) ).
tff(22,plain,
( s
| ~ r ),
inference(unit_resolution,[status(thm)],[21,2]) ).
tff(23,plain,
~ r,
inference(unit_resolution,[status(thm)],[22,1]) ).
tff(24,plain,
( ( ~ q
| r )
<=> ( r
| ~ q ) ),
inference(rewrite,[status(thm)],[]) ).
tff(25,axiom,
( ~ q
| r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
tff(26,plain,
( r
| ~ q ),
inference(modus_ponens,[status(thm)],[25,24]) ).
tff(27,plain,
$false,
inference(unit_resolution,[status(thm)],[26,23,14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN047-1 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jun 20 12:28:16 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.38 % SZS status Unsatisfiable
% 0.13/0.38 % SZS output start Proof
% See solution above
% 0.13/0.38 % E exiting
%------------------------------------------------------------------------------