%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN085-1.010 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n005.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 05:38:12 AM UTC 2025
% Result : Unsatisfiable 0.11s 0.36s
% Output : Proof 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 22
% Syntax : Number of formulae : 44 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 465 ( 0 equ)
% Maximal formula atoms : 22 ( 10 avg)
% Number of connectives : 818 ( 397 ~; 395 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 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 : 12 ( 11 usr; 12 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(p_10_type,type,
p_10: $o ).
tff(p_9_type,type,
p_9: $o ).
tff(p_8_type,type,
p_8: $o ).
tff(p_7_type,type,
p_7: $o ).
tff(p_6_type,type,
p_6: $o ).
tff(p_5_type,type,
p_5: $o ).
tff(p_4_type,type,
p_4: $o ).
tff(p_3_type,type,
p_3: $o ).
tff(p_1_type,type,
p_1: $o ).
tff(p_2_type,type,
p_2: $o ).
tff(p_0_type,type,
p_0: $o ).
tff(1,axiom,
p_10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_11) ).
tff(2,axiom,
p_9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_10) ).
tff(3,axiom,
p_8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_9) ).
tff(4,axiom,
p_7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_8) ).
tff(5,axiom,
p_6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_7) ).
tff(6,axiom,
p_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_6) ).
tff(7,axiom,
p_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_5) ).
tff(8,axiom,
p_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_4) ).
tff(9,axiom,
p_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_2) ).
tff(10,axiom,
p_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_3) ).
tff(11,axiom,
~ p_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_goal_1) ).
tff(12,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9
| ~ p_10 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9
| ~ p_10 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(13,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9
| ~ p_10 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9
| ~ p_10 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(15,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(16,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(18,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(19,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(21,plain,
( ( p_0
| ~ p_1
| ~ p_2 )
<=> ( p_0
| ~ p_1
| ~ p_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(22,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3 ) ),
inference(monotonicity,[status(thm)],[21]) ).
tff(23,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3 ) ),
inference(transitivity,[status(thm)],[22,20]) ).
tff(24,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4 ) ),
inference(monotonicity,[status(thm)],[23]) ).
tff(25,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4 ) ),
inference(transitivity,[status(thm)],[24,19]) ).
tff(26,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ) ),
inference(monotonicity,[status(thm)],[25]) ).
tff(27,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ) ),
inference(transitivity,[status(thm)],[26,18]) ).
tff(28,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6 ) ),
inference(monotonicity,[status(thm)],[27]) ).
tff(29,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6 ) ),
inference(transitivity,[status(thm)],[28,17]) ).
tff(30,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7 ) ),
inference(monotonicity,[status(thm)],[29]) ).
tff(31,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7 ) ),
inference(transitivity,[status(thm)],[30,16]) ).
tff(32,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8 ) ),
inference(monotonicity,[status(thm)],[31]) ).
tff(33,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8 ) ),
inference(transitivity,[status(thm)],[32,15]) ).
tff(34,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9 ) ),
inference(monotonicity,[status(thm)],[33]) ).
tff(35,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9 ) ),
inference(transitivity,[status(thm)],[34,14]) ).
tff(36,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9
| ~ p_10 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9
| ~ p_10 ) ),
inference(monotonicity,[status(thm)],[35]) ).
tff(37,plain,
( ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9
| ~ p_10 )
<=> ( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9
| ~ p_10 ) ),
inference(transitivity,[status(thm)],[36,13]) ).
tff(38,axiom,
( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9
| ~ p_10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_1) ).
tff(39,plain,
( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9
| ~ p_10 ),
inference(modus_ponens,[status(thm)],[38,37]) ).
tff(40,plain,
( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9
| ~ p_10 ),
inference(modus_ponens,[status(thm)],[39,12]) ).
tff(41,plain,
( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9
| ~ p_10 ),
inference(modus_ponens,[status(thm)],[40,12]) ).
tff(42,plain,
( p_0
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9
| ~ p_10 ),
inference(modus_ponens,[status(thm)],[41,12]) ).
tff(43,plain,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| ~ p_6
| ~ p_7
| ~ p_8
| ~ p_9
| ~ p_10 ),
inference(unit_resolution,[status(thm)],[42,11]) ).
tff(44,plain,
$false,
inference(unit_resolution,[status(thm)],[43,10,9,8,7,6,5,4,3,2,1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN085-1.010 : TPTP v9.0.0. Released v1.0.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 12:27:35 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.36 % SZS status Unsatisfiable
% 0.11/0.36 % SZS output start Proof
% See solution above
% 0.11/0.37 % E exiting
%------------------------------------------------------------------------------