%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN090-1.008 : TPTP v9.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n011.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 05:38:13 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.37s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 47
% Syntax : Number of formulae : 93 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 294 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 381 ( 180 ~; 179 |; 0 &)
% ( 22 <=>; 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 : 25 ( 24 usr; 25 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(p_0_type,type,
p_0: $o ).
tff(p_2_type,type,
p_2: $o ).
tff(p_4_type,type,
p_4: $o ).
tff(p_6_type,type,
p_6: $o ).
tff(p_8_type,type,
p_8: $o ).
tff(p_10_type,type,
p_10: $o ).
tff(p_12_type,type,
p_12: $o ).
tff(p_14_type,type,
p_14: $o ).
tff(p_13_type,type,
p_13: $o ).
tff(p_15_type,type,
p_15: $o ).
tff(p_11_type,type,
p_11: $o ).
tff(p_9_type,type,
p_9: $o ).
tff(p_7_type,type,
p_7: $o ).
tff(p_5_type,type,
p_5: $o ).
tff(p_3_type,type,
p_3: $o ).
tff(p_1_type,type,
p_1: $o ).
tff(q_0_type,type,
q_0: $o ).
tff(q_2_type,type,
q_2: $o ).
tff(q_4_type,type,
q_4: $o ).
tff(q_6_type,type,
q_6: $o ).
tff(q_8_type,type,
q_8: $o ).
tff(q_10_type,type,
q_10: $o ).
tff(q_12_type,type,
q_12: $o ).
tff(q_14_type,type,
q_14: $o ).
tff(1,axiom,
p_14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_1) ).
tff(2,axiom,
p_15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_2) ).
tff(3,plain,
( ( p_13
| ~ p_14
| ~ p_15 )
<=> ( p_13
| ~ p_14
| ~ p_15 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,axiom,
( p_13
| ~ p_14
| ~ p_15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_27) ).
tff(5,plain,
( p_13
| ~ p_14
| ~ p_15 ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
p_13,
inference(unit_resolution,[status(thm)],[5,1,2]) ).
tff(7,plain,
( ( p_12
| ~ p_13
| ~ p_14 )
<=> ( p_12
| ~ p_13
| ~ p_14 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(8,axiom,
( p_12
| ~ p_13
| ~ p_14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_25) ).
tff(9,plain,
( p_12
| ~ p_13
| ~ p_14 ),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
p_12,
inference(unit_resolution,[status(thm)],[9,6,1]) ).
tff(11,plain,
( ( p_11
| ~ p_12
| ~ p_13 )
<=> ( p_11
| ~ p_12
| ~ p_13 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,axiom,
( p_11
| ~ p_12
| ~ p_13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_23) ).
tff(13,plain,
( p_11
| ~ p_12
| ~ p_13 ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
p_11,
inference(unit_resolution,[status(thm)],[13,10,6]) ).
tff(15,plain,
( ( p_10
| ~ p_11
| ~ p_12 )
<=> ( p_10
| ~ p_11
| ~ p_12 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(16,axiom,
( p_10
| ~ p_11
| ~ p_12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_21) ).
tff(17,plain,
( p_10
| ~ p_11
| ~ p_12 ),
inference(modus_ponens,[status(thm)],[16,15]) ).
tff(18,plain,
p_10,
inference(unit_resolution,[status(thm)],[17,14,10]) ).
tff(19,plain,
( ( p_9
| ~ p_10
| ~ p_11 )
<=> ( p_9
| ~ p_10
| ~ p_11 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,axiom,
( p_9
| ~ p_10
| ~ p_11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_19) ).
tff(21,plain,
( p_9
| ~ p_10
| ~ p_11 ),
inference(modus_ponens,[status(thm)],[20,19]) ).
tff(22,plain,
p_9,
inference(unit_resolution,[status(thm)],[21,18,14]) ).
tff(23,plain,
( ( p_8
| ~ p_9
| ~ p_10 )
<=> ( p_8
| ~ p_9
| ~ p_10 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(24,plain,
( ( p_8
| ~ p_9
| ~ p_10 )
<=> ( p_8
| ~ p_9
| ~ p_10 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(25,axiom,
( p_8
| ~ p_9
| ~ p_10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_17) ).
tff(26,plain,
( p_8
| ~ p_9
| ~ p_10 ),
inference(modus_ponens,[status(thm)],[25,24]) ).
tff(27,plain,
( p_8
| ~ p_9
| ~ p_10 ),
inference(modus_ponens,[status(thm)],[26,23]) ).
tff(28,plain,
( p_8
| ~ p_9
| ~ p_10 ),
inference(modus_ponens,[status(thm)],[27,23]) ).
tff(29,plain,
( p_8
| ~ p_9
| ~ p_10 ),
inference(modus_ponens,[status(thm)],[28,23]) ).
tff(30,plain,
p_8,
inference(unit_resolution,[status(thm)],[29,22,18]) ).
tff(31,plain,
( ( p_7
| ~ p_8
| ~ p_9 )
<=> ( p_7
| ~ p_8
| ~ p_9 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(32,axiom,
( p_7
| ~ p_8
| ~ p_9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_15) ).
tff(33,plain,
( p_7
| ~ p_8
| ~ p_9 ),
inference(modus_ponens,[status(thm)],[32,31]) ).
tff(34,plain,
p_7,
inference(unit_resolution,[status(thm)],[33,30,22]) ).
tff(35,plain,
( ( p_6
| ~ p_7
| ~ p_8 )
<=> ( p_6
| ~ p_7
| ~ p_8 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(36,axiom,
( p_6
| ~ p_7
| ~ p_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_13) ).
tff(37,plain,
( p_6
| ~ p_7
| ~ p_8 ),
inference(modus_ponens,[status(thm)],[36,35]) ).
tff(38,plain,
p_6,
inference(unit_resolution,[status(thm)],[37,34,30]) ).
tff(39,plain,
( ( p_5
| ~ p_6
| ~ p_7 )
<=> ( p_5
| ~ p_6
| ~ p_7 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(40,axiom,
( p_5
| ~ p_6
| ~ p_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_11) ).
tff(41,plain,
( p_5
| ~ p_6
| ~ p_7 ),
inference(modus_ponens,[status(thm)],[40,39]) ).
tff(42,plain,
p_5,
inference(unit_resolution,[status(thm)],[41,38,34]) ).
tff(43,plain,
( ( p_4
| ~ p_5
| ~ p_6 )
<=> ( p_4
| ~ p_5
| ~ p_6 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(44,axiom,
( p_4
| ~ p_5
| ~ p_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_9) ).
tff(45,plain,
( p_4
| ~ p_5
| ~ p_6 ),
inference(modus_ponens,[status(thm)],[44,43]) ).
tff(46,plain,
p_4,
inference(unit_resolution,[status(thm)],[45,42,38]) ).
tff(47,plain,
( ( p_3
| ~ p_4
| ~ p_5 )
<=> ( p_3
| ~ p_4
| ~ p_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(48,axiom,
( p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_7) ).
tff(49,plain,
( p_3
| ~ p_4
| ~ p_5 ),
inference(modus_ponens,[status(thm)],[48,47]) ).
tff(50,plain,
p_3,
inference(unit_resolution,[status(thm)],[49,46,42]) ).
tff(51,plain,
( ( p_2
| ~ p_3
| ~ p_4 )
<=> ( p_2
| ~ p_3
| ~ p_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(52,axiom,
( p_2
| ~ p_3
| ~ p_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_5) ).
tff(53,plain,
( p_2
| ~ p_3
| ~ p_4 ),
inference(modus_ponens,[status(thm)],[52,51]) ).
tff(54,plain,
p_2,
inference(unit_resolution,[status(thm)],[53,50,46]) ).
tff(55,plain,
( ( p_1
| ~ p_2
| ~ p_3 )
<=> ( p_1
| ~ p_2
| ~ p_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(56,axiom,
( p_1
| ~ p_2
| ~ p_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_3) ).
tff(57,plain,
( p_1
| ~ p_2
| ~ p_3 ),
inference(modus_ponens,[status(thm)],[56,55]) ).
tff(58,plain,
p_1,
inference(unit_resolution,[status(thm)],[57,54,50]) ).
tff(59,plain,
( ( p_0
| ~ p_1
| ~ p_2 )
<=> ( p_0
| ~ p_1
| ~ p_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(60,axiom,
( p_0
| ~ p_1
| ~ p_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_1) ).
tff(61,plain,
( p_0
| ~ p_1
| ~ p_2 ),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
p_0,
inference(unit_resolution,[status(thm)],[61,58,54]) ).
tff(63,axiom,
q_14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_3) ).
tff(64,plain,
( ( q_12
| ~ p_13
| ~ q_14 )
<=> ( q_12
| ~ p_13
| ~ q_14 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(65,axiom,
( q_12
| ~ p_13
| ~ q_14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_25) ).
tff(66,plain,
( q_12
| ~ p_13
| ~ q_14 ),
inference(modus_ponens,[status(thm)],[65,64]) ).
tff(67,plain,
q_12,
inference(unit_resolution,[status(thm)],[66,6,63]) ).
tff(68,plain,
( ( q_10
| ~ p_11
| ~ q_12 )
<=> ( q_10
| ~ p_11
| ~ q_12 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(69,axiom,
( q_10
| ~ p_11
| ~ q_12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_21) ).
tff(70,plain,
( q_10
| ~ p_11
| ~ q_12 ),
inference(modus_ponens,[status(thm)],[69,68]) ).
tff(71,plain,
q_10,
inference(unit_resolution,[status(thm)],[70,14,67]) ).
tff(72,plain,
( ( q_8
| ~ p_9
| ~ q_10 )
<=> ( q_8
| ~ p_9
| ~ q_10 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(73,axiom,
( q_8
| ~ p_9
| ~ q_10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_17) ).
tff(74,plain,
( q_8
| ~ p_9
| ~ q_10 ),
inference(modus_ponens,[status(thm)],[73,72]) ).
tff(75,plain,
q_8,
inference(unit_resolution,[status(thm)],[74,22,71]) ).
tff(76,plain,
( ( q_6
| ~ p_7
| ~ q_8 )
<=> ( q_6
| ~ p_7
| ~ q_8 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(77,axiom,
( q_6
| ~ p_7
| ~ q_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_13) ).
tff(78,plain,
( q_6
| ~ p_7
| ~ q_8 ),
inference(modus_ponens,[status(thm)],[77,76]) ).
tff(79,plain,
q_6,
inference(unit_resolution,[status(thm)],[78,34,75]) ).
tff(80,plain,
( ( q_4
| ~ p_5
| ~ q_6 )
<=> ( q_4
| ~ p_5
| ~ q_6 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(81,axiom,
( q_4
| ~ p_5
| ~ q_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_9) ).
tff(82,plain,
( q_4
| ~ p_5
| ~ q_6 ),
inference(modus_ponens,[status(thm)],[81,80]) ).
tff(83,plain,
q_4,
inference(unit_resolution,[status(thm)],[82,42,79]) ).
tff(84,plain,
( ( q_2
| ~ p_3
| ~ q_4 )
<=> ( q_2
| ~ p_3
| ~ q_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(85,axiom,
( q_2
| ~ p_3
| ~ q_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_5) ).
tff(86,plain,
( q_2
| ~ p_3
| ~ q_4 ),
inference(modus_ponens,[status(thm)],[85,84]) ).
tff(87,plain,
q_2,
inference(unit_resolution,[status(thm)],[86,50,83]) ).
tff(88,plain,
( ( q_0
| ~ p_1
| ~ q_2 )
<=> ( q_0
| ~ p_1
| ~ q_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(89,axiom,
( q_0
| ~ p_1
| ~ q_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_1) ).
tff(90,plain,
( q_0
| ~ p_1
| ~ q_2 ),
inference(modus_ponens,[status(thm)],[89,88]) ).
tff(91,plain,
q_0,
inference(unit_resolution,[status(thm)],[90,58,87]) ).
tff(92,axiom,
( ~ p_0
| ~ q_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_goal_1) ).
tff(93,plain,
$false,
inference(unit_resolution,[status(thm)],[92,91,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN090-1.008 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n011.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 12:28:27 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.37 % SZS status Unsatisfiable
% 0.19/0.37 % SZS output start Proof
% See solution above
% 0.19/0.37 % E exiting
%------------------------------------------------------------------------------