%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN010-1.005.005 : TPTP v9.0.0. Released v1.0.0.
% 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 05:37:57 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.37s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 111
% Syntax : Number of formulae : 280 ( 27 unt; 0 typ; 0 def)
% Number of atoms : 2300 ( 0 equ)
% Maximal formula atoms : 12 ( 8 avg)
% Number of connectives : 3832 (1812 ~;1810 |; 0 &)
% ( 210 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 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 : 27 ( 26 usr; 27 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(p_1_5_type,type,
p_1_5: $o ).
tff(p_2_5_type,type,
p_2_5: $o ).
tff(p_3_5_type,type,
p_3_5: $o ).
tff(p_4_5_type,type,
p_4_5: $o ).
tff(p_5_5_type,type,
p_5_5: $o ).
tff(p_5_4_type,type,
p_5_4: $o ).
tff(p_5_3_type,type,
p_5_3: $o ).
tff(p_5_2_type,type,
p_5_2: $o ).
tff(p_5_1_type,type,
p_5_1: $o ).
tff(p_4_4_type,type,
p_4_4: $o ).
tff(p_4_3_type,type,
p_4_3: $o ).
tff(p_4_2_type,type,
p_4_2: $o ).
tff(p_4_1_type,type,
p_4_1: $o ).
tff(p_3_4_type,type,
p_3_4: $o ).
tff(p_3_3_type,type,
p_3_3: $o ).
tff(p_3_2_type,type,
p_3_2: $o ).
tff(p_3_1_type,type,
p_3_1: $o ).
tff(p_2_4_type,type,
p_2_4: $o ).
tff(p_2_3_type,type,
p_2_3: $o ).
tff(p_2_2_type,type,
p_2_2: $o ).
tff(p_2_1_type,type,
p_2_1: $o ).
tff(p_1_4_type,type,
p_1_4: $o ).
tff(p_1_3_type,type,
p_1_3: $o ).
tff(p_1_1_type,type,
p_1_1: $o ).
tff(p_1_2_type,type,
p_1_2: $o ).
tff(p_0_type,type,
p_0: $o ).
tff(1,axiom,
p_5_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27) ).
tff(2,axiom,
p_5_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).
tff(3,axiom,
p_5_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).
tff(4,axiom,
p_5_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
tff(5,axiom,
p_5_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
tff(6,plain,
( ( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 )
<=> ( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(7,plain,
( ( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 )
<=> ( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(8,plain,
( ( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 )
<=> ( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(9,plain,
( ( p_4_5
| ~ p_5_1
| ~ p_5_2 )
<=> ( p_4_5
| ~ p_5_1
| ~ p_5_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(10,plain,
( ( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 )
<=> ( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 ) ),
inference(monotonicity,[status(thm)],[9]) ).
tff(11,plain,
( ( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 )
<=> ( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 ) ),
inference(transitivity,[status(thm)],[10,8]) ).
tff(12,plain,
( ( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 )
<=> ( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 ) ),
inference(monotonicity,[status(thm)],[11]) ).
tff(13,plain,
( ( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 )
<=> ( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 ) ),
inference(transitivity,[status(thm)],[12,7]) ).
tff(14,plain,
( ( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 )
<=> ( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ),
inference(monotonicity,[status(thm)],[13]) ).
tff(15,plain,
( ( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 )
<=> ( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ),
inference(transitivity,[status(thm)],[14,6]) ).
tff(16,axiom,
( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
tff(17,plain,
( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(modus_ponens,[status(thm)],[16,15]) ).
tff(18,plain,
p_4_5,
inference(unit_resolution,[status(thm)],[17,5,4,3,2,1]) ).
tff(19,plain,
( ( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 )
<=> ( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,plain,
( ( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 )
<=> ( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(21,plain,
( ( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 )
<=> ( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(22,plain,
( ( p_4_4
| ~ p_5_1
| ~ p_5_2 )
<=> ( p_4_4
| ~ p_5_1
| ~ p_5_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(23,plain,
( ( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 )
<=> ( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 ) ),
inference(monotonicity,[status(thm)],[22]) ).
tff(24,plain,
( ( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 )
<=> ( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 ) ),
inference(transitivity,[status(thm)],[23,21]) ).
tff(25,plain,
( ( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 )
<=> ( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 ) ),
inference(monotonicity,[status(thm)],[24]) ).
tff(26,plain,
( ( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 )
<=> ( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 ) ),
inference(transitivity,[status(thm)],[25,20]) ).
tff(27,plain,
( ( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 )
<=> ( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ),
inference(monotonicity,[status(thm)],[26]) ).
tff(28,plain,
( ( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 )
<=> ( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ),
inference(transitivity,[status(thm)],[27,19]) ).
tff(29,axiom,
( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
tff(30,plain,
( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
p_4_4,
inference(unit_resolution,[status(thm)],[30,5,4,3,2,1]) ).
tff(32,plain,
( ( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 )
<=> ( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(33,plain,
( ( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 )
<=> ( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(34,plain,
( ( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 )
<=> ( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(35,plain,
( ( p_4_3
| ~ p_5_1
| ~ p_5_2 )
<=> ( p_4_3
| ~ p_5_1
| ~ p_5_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(36,plain,
( ( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 )
<=> ( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 ) ),
inference(monotonicity,[status(thm)],[35]) ).
tff(37,plain,
( ( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 )
<=> ( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 ) ),
inference(transitivity,[status(thm)],[36,34]) ).
tff(38,plain,
( ( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 )
<=> ( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 ) ),
inference(monotonicity,[status(thm)],[37]) ).
tff(39,plain,
( ( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 )
<=> ( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 ) ),
inference(transitivity,[status(thm)],[38,33]) ).
tff(40,plain,
( ( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 )
<=> ( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ),
inference(monotonicity,[status(thm)],[39]) ).
tff(41,plain,
( ( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 )
<=> ( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ),
inference(transitivity,[status(thm)],[40,32]) ).
tff(42,axiom,
( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
tff(43,plain,
( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(modus_ponens,[status(thm)],[42,41]) ).
tff(44,plain,
p_4_3,
inference(unit_resolution,[status(thm)],[43,5,4,3,2,1]) ).
tff(45,plain,
( ( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 )
<=> ( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(46,plain,
( ( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 )
<=> ( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(47,plain,
( ( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 )
<=> ( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(48,plain,
( ( p_4_2
| ~ p_5_1
| ~ p_5_2 )
<=> ( p_4_2
| ~ p_5_1
| ~ p_5_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(49,plain,
( ( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 )
<=> ( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 ) ),
inference(monotonicity,[status(thm)],[48]) ).
tff(50,plain,
( ( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 )
<=> ( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 ) ),
inference(transitivity,[status(thm)],[49,47]) ).
tff(51,plain,
( ( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 )
<=> ( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 ) ),
inference(monotonicity,[status(thm)],[50]) ).
tff(52,plain,
( ( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 )
<=> ( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 ) ),
inference(transitivity,[status(thm)],[51,46]) ).
tff(53,plain,
( ( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 )
<=> ( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ),
inference(monotonicity,[status(thm)],[52]) ).
tff(54,plain,
( ( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 )
<=> ( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ),
inference(transitivity,[status(thm)],[53,45]) ).
tff(55,axiom,
( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
tff(56,plain,
( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(modus_ponens,[status(thm)],[55,54]) ).
tff(57,plain,
p_4_2,
inference(unit_resolution,[status(thm)],[56,5,4,3,2,1]) ).
tff(58,plain,
( ( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 )
<=> ( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(59,plain,
( ( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 )
<=> ( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(60,plain,
( ( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 )
<=> ( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(61,plain,
( ( p_4_1
| ~ p_5_1
| ~ p_5_2 )
<=> ( p_4_1
| ~ p_5_1
| ~ p_5_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(62,plain,
( ( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 )
<=> ( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 ) ),
inference(monotonicity,[status(thm)],[61]) ).
tff(63,plain,
( ( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 )
<=> ( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3 ) ),
inference(transitivity,[status(thm)],[62,60]) ).
tff(64,plain,
( ( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 )
<=> ( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 ) ),
inference(monotonicity,[status(thm)],[63]) ).
tff(65,plain,
( ( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 )
<=> ( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4 ) ),
inference(transitivity,[status(thm)],[64,59]) ).
tff(66,plain,
( ( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 )
<=> ( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ),
inference(monotonicity,[status(thm)],[65]) ).
tff(67,plain,
( ( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 )
<=> ( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ) ),
inference(transitivity,[status(thm)],[66,58]) ).
tff(68,axiom,
( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
tff(69,plain,
( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(modus_ponens,[status(thm)],[68,67]) ).
tff(70,plain,
p_4_1,
inference(unit_resolution,[status(thm)],[69,5,4,3,2,1]) ).
tff(71,plain,
( ( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 )
<=> ( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(72,plain,
( ( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 )
<=> ( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(73,plain,
( ( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 )
<=> ( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(74,plain,
( ( p_3_5
| ~ p_4_1
| ~ p_4_2 )
<=> ( p_3_5
| ~ p_4_1
| ~ p_4_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(75,plain,
( ( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 )
<=> ( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 ) ),
inference(monotonicity,[status(thm)],[74]) ).
tff(76,plain,
( ( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 )
<=> ( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 ) ),
inference(transitivity,[status(thm)],[75,73]) ).
tff(77,plain,
( ( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 )
<=> ( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 ) ),
inference(monotonicity,[status(thm)],[76]) ).
tff(78,plain,
( ( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 )
<=> ( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 ) ),
inference(transitivity,[status(thm)],[77,72]) ).
tff(79,plain,
( ( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 )
<=> ( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ),
inference(monotonicity,[status(thm)],[78]) ).
tff(80,plain,
( ( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 )
<=> ( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ),
inference(transitivity,[status(thm)],[79,71]) ).
tff(81,axiom,
( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
tff(82,plain,
( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
inference(modus_ponens,[status(thm)],[81,80]) ).
tff(83,plain,
p_3_5,
inference(unit_resolution,[status(thm)],[82,70,57,44,31,18]) ).
tff(84,plain,
( ( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 )
<=> ( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(85,plain,
( ( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 )
<=> ( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(86,plain,
( ( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 )
<=> ( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(87,plain,
( ( p_3_4
| ~ p_4_1
| ~ p_4_2 )
<=> ( p_3_4
| ~ p_4_1
| ~ p_4_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(88,plain,
( ( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 )
<=> ( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 ) ),
inference(monotonicity,[status(thm)],[87]) ).
tff(89,plain,
( ( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 )
<=> ( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 ) ),
inference(transitivity,[status(thm)],[88,86]) ).
tff(90,plain,
( ( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 )
<=> ( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 ) ),
inference(monotonicity,[status(thm)],[89]) ).
tff(91,plain,
( ( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 )
<=> ( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 ) ),
inference(transitivity,[status(thm)],[90,85]) ).
tff(92,plain,
( ( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 )
<=> ( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ),
inference(monotonicity,[status(thm)],[91]) ).
tff(93,plain,
( ( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 )
<=> ( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ),
inference(transitivity,[status(thm)],[92,84]) ).
tff(94,axiom,
( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
tff(95,plain,
( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
inference(modus_ponens,[status(thm)],[94,93]) ).
tff(96,plain,
p_3_4,
inference(unit_resolution,[status(thm)],[95,70,57,44,31,18]) ).
tff(97,plain,
( ( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 )
<=> ( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(98,plain,
( ( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 )
<=> ( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(99,plain,
( ( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 )
<=> ( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(100,plain,
( ( p_3_3
| ~ p_4_1
| ~ p_4_2 )
<=> ( p_3_3
| ~ p_4_1
| ~ p_4_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(101,plain,
( ( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 )
<=> ( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 ) ),
inference(monotonicity,[status(thm)],[100]) ).
tff(102,plain,
( ( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 )
<=> ( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 ) ),
inference(transitivity,[status(thm)],[101,99]) ).
tff(103,plain,
( ( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 )
<=> ( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 ) ),
inference(monotonicity,[status(thm)],[102]) ).
tff(104,plain,
( ( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 )
<=> ( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 ) ),
inference(transitivity,[status(thm)],[103,98]) ).
tff(105,plain,
( ( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 )
<=> ( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ),
inference(monotonicity,[status(thm)],[104]) ).
tff(106,plain,
( ( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 )
<=> ( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ),
inference(transitivity,[status(thm)],[105,97]) ).
tff(107,axiom,
( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
tff(108,plain,
( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
inference(modus_ponens,[status(thm)],[107,106]) ).
tff(109,plain,
p_3_3,
inference(unit_resolution,[status(thm)],[108,70,57,44,31,18]) ).
tff(110,plain,
( ( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 )
<=> ( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(111,plain,
( ( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 )
<=> ( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(112,plain,
( ( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 )
<=> ( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(113,plain,
( ( p_3_2
| ~ p_4_1
| ~ p_4_2 )
<=> ( p_3_2
| ~ p_4_1
| ~ p_4_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(114,plain,
( ( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 )
<=> ( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 ) ),
inference(monotonicity,[status(thm)],[113]) ).
tff(115,plain,
( ( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 )
<=> ( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 ) ),
inference(transitivity,[status(thm)],[114,112]) ).
tff(116,plain,
( ( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 )
<=> ( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 ) ),
inference(monotonicity,[status(thm)],[115]) ).
tff(117,plain,
( ( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 )
<=> ( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 ) ),
inference(transitivity,[status(thm)],[116,111]) ).
tff(118,plain,
( ( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 )
<=> ( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ),
inference(monotonicity,[status(thm)],[117]) ).
tff(119,plain,
( ( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 )
<=> ( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ),
inference(transitivity,[status(thm)],[118,110]) ).
tff(120,axiom,
( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
tff(121,plain,
( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
inference(modus_ponens,[status(thm)],[120,119]) ).
tff(122,plain,
p_3_2,
inference(unit_resolution,[status(thm)],[121,70,57,44,31,18]) ).
tff(123,plain,
( ( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 )
<=> ( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(124,plain,
( ( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 )
<=> ( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(125,plain,
( ( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 )
<=> ( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(126,plain,
( ( p_3_1
| ~ p_4_1
| ~ p_4_2 )
<=> ( p_3_1
| ~ p_4_1
| ~ p_4_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(127,plain,
( ( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 )
<=> ( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 ) ),
inference(monotonicity,[status(thm)],[126]) ).
tff(128,plain,
( ( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 )
<=> ( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3 ) ),
inference(transitivity,[status(thm)],[127,125]) ).
tff(129,plain,
( ( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 )
<=> ( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 ) ),
inference(monotonicity,[status(thm)],[128]) ).
tff(130,plain,
( ( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 )
<=> ( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4 ) ),
inference(transitivity,[status(thm)],[129,124]) ).
tff(131,plain,
( ( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 )
<=> ( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ),
inference(monotonicity,[status(thm)],[130]) ).
tff(132,plain,
( ( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 )
<=> ( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ) ),
inference(transitivity,[status(thm)],[131,123]) ).
tff(133,axiom,
( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
tff(134,plain,
( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
inference(modus_ponens,[status(thm)],[133,132]) ).
tff(135,plain,
p_3_1,
inference(unit_resolution,[status(thm)],[134,70,57,44,31,18]) ).
tff(136,plain,
( ( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 )
<=> ( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(137,plain,
( ( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 )
<=> ( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(138,plain,
( ( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 )
<=> ( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(139,plain,
( ( p_2_5
| ~ p_3_1
| ~ p_3_2 )
<=> ( p_2_5
| ~ p_3_1
| ~ p_3_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(140,plain,
( ( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 )
<=> ( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 ) ),
inference(monotonicity,[status(thm)],[139]) ).
tff(141,plain,
( ( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 )
<=> ( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 ) ),
inference(transitivity,[status(thm)],[140,138]) ).
tff(142,plain,
( ( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 )
<=> ( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 ) ),
inference(monotonicity,[status(thm)],[141]) ).
tff(143,plain,
( ( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 )
<=> ( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 ) ),
inference(transitivity,[status(thm)],[142,137]) ).
tff(144,plain,
( ( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 )
<=> ( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ),
inference(monotonicity,[status(thm)],[143]) ).
tff(145,plain,
( ( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 )
<=> ( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ),
inference(transitivity,[status(thm)],[144,136]) ).
tff(146,axiom,
( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
tff(147,plain,
( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
inference(modus_ponens,[status(thm)],[146,145]) ).
tff(148,plain,
p_2_5,
inference(unit_resolution,[status(thm)],[147,135,122,109,96,83]) ).
tff(149,plain,
( ( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 )
<=> ( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(150,plain,
( ( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 )
<=> ( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(151,plain,
( ( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 )
<=> ( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(152,plain,
( ( p_2_4
| ~ p_3_1
| ~ p_3_2 )
<=> ( p_2_4
| ~ p_3_1
| ~ p_3_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(153,plain,
( ( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 )
<=> ( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 ) ),
inference(monotonicity,[status(thm)],[152]) ).
tff(154,plain,
( ( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 )
<=> ( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 ) ),
inference(transitivity,[status(thm)],[153,151]) ).
tff(155,plain,
( ( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 )
<=> ( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 ) ),
inference(monotonicity,[status(thm)],[154]) ).
tff(156,plain,
( ( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 )
<=> ( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 ) ),
inference(transitivity,[status(thm)],[155,150]) ).
tff(157,plain,
( ( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 )
<=> ( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ),
inference(monotonicity,[status(thm)],[156]) ).
tff(158,plain,
( ( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 )
<=> ( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ),
inference(transitivity,[status(thm)],[157,149]) ).
tff(159,axiom,
( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
tff(160,plain,
( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
inference(modus_ponens,[status(thm)],[159,158]) ).
tff(161,plain,
p_2_4,
inference(unit_resolution,[status(thm)],[160,135,122,109,96,83]) ).
tff(162,plain,
( ( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 )
<=> ( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(163,plain,
( ( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 )
<=> ( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(164,plain,
( ( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 )
<=> ( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(165,plain,
( ( p_2_3
| ~ p_3_1
| ~ p_3_2 )
<=> ( p_2_3
| ~ p_3_1
| ~ p_3_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(166,plain,
( ( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 )
<=> ( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 ) ),
inference(monotonicity,[status(thm)],[165]) ).
tff(167,plain,
( ( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 )
<=> ( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 ) ),
inference(transitivity,[status(thm)],[166,164]) ).
tff(168,plain,
( ( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 )
<=> ( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 ) ),
inference(monotonicity,[status(thm)],[167]) ).
tff(169,plain,
( ( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 )
<=> ( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 ) ),
inference(transitivity,[status(thm)],[168,163]) ).
tff(170,plain,
( ( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 )
<=> ( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ),
inference(monotonicity,[status(thm)],[169]) ).
tff(171,plain,
( ( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 )
<=> ( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ),
inference(transitivity,[status(thm)],[170,162]) ).
tff(172,axiom,
( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
tff(173,plain,
( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
inference(modus_ponens,[status(thm)],[172,171]) ).
tff(174,plain,
p_2_3,
inference(unit_resolution,[status(thm)],[173,135,122,109,96,83]) ).
tff(175,plain,
( ( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 )
<=> ( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(176,plain,
( ( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 )
<=> ( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(177,plain,
( ( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 )
<=> ( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(178,plain,
( ( p_2_2
| ~ p_3_1
| ~ p_3_2 )
<=> ( p_2_2
| ~ p_3_1
| ~ p_3_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(179,plain,
( ( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 )
<=> ( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 ) ),
inference(monotonicity,[status(thm)],[178]) ).
tff(180,plain,
( ( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 )
<=> ( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 ) ),
inference(transitivity,[status(thm)],[179,177]) ).
tff(181,plain,
( ( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 )
<=> ( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 ) ),
inference(monotonicity,[status(thm)],[180]) ).
tff(182,plain,
( ( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 )
<=> ( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 ) ),
inference(transitivity,[status(thm)],[181,176]) ).
tff(183,plain,
( ( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 )
<=> ( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ),
inference(monotonicity,[status(thm)],[182]) ).
tff(184,plain,
( ( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 )
<=> ( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ),
inference(transitivity,[status(thm)],[183,175]) ).
tff(185,axiom,
( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
tff(186,plain,
( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
inference(modus_ponens,[status(thm)],[185,184]) ).
tff(187,plain,
p_2_2,
inference(unit_resolution,[status(thm)],[186,135,122,109,96,83]) ).
tff(188,plain,
( ( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 )
<=> ( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(189,plain,
( ( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 )
<=> ( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(190,plain,
( ( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 )
<=> ( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(191,plain,
( ( p_2_1
| ~ p_3_1
| ~ p_3_2 )
<=> ( p_2_1
| ~ p_3_1
| ~ p_3_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(192,plain,
( ( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 )
<=> ( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 ) ),
inference(monotonicity,[status(thm)],[191]) ).
tff(193,plain,
( ( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 )
<=> ( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3 ) ),
inference(transitivity,[status(thm)],[192,190]) ).
tff(194,plain,
( ( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 )
<=> ( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 ) ),
inference(monotonicity,[status(thm)],[193]) ).
tff(195,plain,
( ( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 )
<=> ( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4 ) ),
inference(transitivity,[status(thm)],[194,189]) ).
tff(196,plain,
( ( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 )
<=> ( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ),
inference(monotonicity,[status(thm)],[195]) ).
tff(197,plain,
( ( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 )
<=> ( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ) ),
inference(transitivity,[status(thm)],[196,188]) ).
tff(198,axiom,
( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
tff(199,plain,
( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
inference(modus_ponens,[status(thm)],[198,197]) ).
tff(200,plain,
p_2_1,
inference(unit_resolution,[status(thm)],[199,135,122,109,96,83]) ).
tff(201,plain,
( ( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 )
<=> ( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(202,plain,
( ( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 )
<=> ( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(203,plain,
( ( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 )
<=> ( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(204,plain,
( ( p_1_5
| ~ p_2_1
| ~ p_2_2 )
<=> ( p_1_5
| ~ p_2_1
| ~ p_2_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(205,plain,
( ( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 )
<=> ( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 ) ),
inference(monotonicity,[status(thm)],[204]) ).
tff(206,plain,
( ( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 )
<=> ( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 ) ),
inference(transitivity,[status(thm)],[205,203]) ).
tff(207,plain,
( ( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 )
<=> ( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 ) ),
inference(monotonicity,[status(thm)],[206]) ).
tff(208,plain,
( ( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 )
<=> ( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 ) ),
inference(transitivity,[status(thm)],[207,202]) ).
tff(209,plain,
( ( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 )
<=> ( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ),
inference(monotonicity,[status(thm)],[208]) ).
tff(210,plain,
( ( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 )
<=> ( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ),
inference(transitivity,[status(thm)],[209,201]) ).
tff(211,axiom,
( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
tff(212,plain,
( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
inference(modus_ponens,[status(thm)],[211,210]) ).
tff(213,plain,
p_1_5,
inference(unit_resolution,[status(thm)],[212,200,187,174,161,148]) ).
tff(214,plain,
( ( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 )
<=> ( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(215,plain,
( ( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 )
<=> ( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(216,plain,
( ( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 )
<=> ( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(217,plain,
( ( p_1_4
| ~ p_2_1
| ~ p_2_2 )
<=> ( p_1_4
| ~ p_2_1
| ~ p_2_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(218,plain,
( ( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 )
<=> ( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 ) ),
inference(monotonicity,[status(thm)],[217]) ).
tff(219,plain,
( ( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 )
<=> ( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 ) ),
inference(transitivity,[status(thm)],[218,216]) ).
tff(220,plain,
( ( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 )
<=> ( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 ) ),
inference(monotonicity,[status(thm)],[219]) ).
tff(221,plain,
( ( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 )
<=> ( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 ) ),
inference(transitivity,[status(thm)],[220,215]) ).
tff(222,plain,
( ( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 )
<=> ( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ),
inference(monotonicity,[status(thm)],[221]) ).
tff(223,plain,
( ( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 )
<=> ( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ),
inference(transitivity,[status(thm)],[222,214]) ).
tff(224,axiom,
( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
tff(225,plain,
( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
inference(modus_ponens,[status(thm)],[224,223]) ).
tff(226,plain,
p_1_4,
inference(unit_resolution,[status(thm)],[225,200,187,174,161,148]) ).
tff(227,plain,
( ( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 )
<=> ( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(228,plain,
( ( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 )
<=> ( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(229,plain,
( ( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 )
<=> ( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(230,plain,
( ( p_1_3
| ~ p_2_1
| ~ p_2_2 )
<=> ( p_1_3
| ~ p_2_1
| ~ p_2_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(231,plain,
( ( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 )
<=> ( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 ) ),
inference(monotonicity,[status(thm)],[230]) ).
tff(232,plain,
( ( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 )
<=> ( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 ) ),
inference(transitivity,[status(thm)],[231,229]) ).
tff(233,plain,
( ( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 )
<=> ( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 ) ),
inference(monotonicity,[status(thm)],[232]) ).
tff(234,plain,
( ( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 )
<=> ( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 ) ),
inference(transitivity,[status(thm)],[233,228]) ).
tff(235,plain,
( ( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 )
<=> ( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ),
inference(monotonicity,[status(thm)],[234]) ).
tff(236,plain,
( ( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 )
<=> ( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ),
inference(transitivity,[status(thm)],[235,227]) ).
tff(237,axiom,
( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
tff(238,plain,
( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
inference(modus_ponens,[status(thm)],[237,236]) ).
tff(239,plain,
p_1_3,
inference(unit_resolution,[status(thm)],[238,200,187,174,161,148]) ).
tff(240,plain,
( ( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 )
<=> ( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(241,plain,
( ( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 )
<=> ( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(242,plain,
( ( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 )
<=> ( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(243,plain,
( ( p_1_1
| ~ p_2_1
| ~ p_2_2 )
<=> ( p_1_1
| ~ p_2_1
| ~ p_2_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(244,plain,
( ( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 )
<=> ( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 ) ),
inference(monotonicity,[status(thm)],[243]) ).
tff(245,plain,
( ( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 )
<=> ( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 ) ),
inference(transitivity,[status(thm)],[244,242]) ).
tff(246,plain,
( ( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 )
<=> ( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 ) ),
inference(monotonicity,[status(thm)],[245]) ).
tff(247,plain,
( ( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 )
<=> ( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 ) ),
inference(transitivity,[status(thm)],[246,241]) ).
tff(248,plain,
( ( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 )
<=> ( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ),
inference(monotonicity,[status(thm)],[247]) ).
tff(249,plain,
( ( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 )
<=> ( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ),
inference(transitivity,[status(thm)],[248,240]) ).
tff(250,axiom,
( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
tff(251,plain,
( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
inference(modus_ponens,[status(thm)],[250,249]) ).
tff(252,plain,
p_1_1,
inference(unit_resolution,[status(thm)],[251,200,187,174,161,148]) ).
tff(253,plain,
( ( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 )
<=> ( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(254,plain,
( ( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 )
<=> ( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(255,plain,
( ( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 )
<=> ( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(256,plain,
( ( p_1_2
| ~ p_2_1
| ~ p_2_2 )
<=> ( p_1_2
| ~ p_2_1
| ~ p_2_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(257,plain,
( ( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 )
<=> ( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 ) ),
inference(monotonicity,[status(thm)],[256]) ).
tff(258,plain,
( ( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 )
<=> ( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3 ) ),
inference(transitivity,[status(thm)],[257,255]) ).
tff(259,plain,
( ( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 )
<=> ( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 ) ),
inference(monotonicity,[status(thm)],[258]) ).
tff(260,plain,
( ( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 )
<=> ( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4 ) ),
inference(transitivity,[status(thm)],[259,254]) ).
tff(261,plain,
( ( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 )
<=> ( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ),
inference(monotonicity,[status(thm)],[260]) ).
tff(262,plain,
( ( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 )
<=> ( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ) ),
inference(transitivity,[status(thm)],[261,253]) ).
tff(263,axiom,
( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
tff(264,plain,
( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
inference(modus_ponens,[status(thm)],[263,262]) ).
tff(265,plain,
p_1_2,
inference(unit_resolution,[status(thm)],[264,200,187,174,161,148]) ).
tff(266,axiom,
~ p_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
tff(267,plain,
( ( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 )
<=> ( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(268,plain,
( ( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4 )
<=> ( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(269,plain,
( ( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3 )
<=> ( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(270,plain,
( ( p_0
| ~ p_1_1
| ~ p_1_2 )
<=> ( p_0
| ~ p_1_1
| ~ p_1_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(271,plain,
( ( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3 )
<=> ( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3 ) ),
inference(monotonicity,[status(thm)],[270]) ).
tff(272,plain,
( ( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3 )
<=> ( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3 ) ),
inference(transitivity,[status(thm)],[271,269]) ).
tff(273,plain,
( ( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4 )
<=> ( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4 ) ),
inference(monotonicity,[status(thm)],[272]) ).
tff(274,plain,
( ( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4 )
<=> ( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4 ) ),
inference(transitivity,[status(thm)],[273,268]) ).
tff(275,plain,
( ( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 )
<=> ( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ) ),
inference(monotonicity,[status(thm)],[274]) ).
tff(276,plain,
( ( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 )
<=> ( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ) ),
inference(transitivity,[status(thm)],[275,267]) ).
tff(277,axiom,
( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
tff(278,plain,
( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ),
inference(modus_ponens,[status(thm)],[277,276]) ).
tff(279,plain,
( ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ),
inference(unit_resolution,[status(thm)],[278,266]) ).
tff(280,plain,
$false,
inference(unit_resolution,[status(thm)],[279,265,252,239,226,213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN010-1.005.005 : TPTP v9.0.0. Released v1.0.0.
% 0.10/0.12 % 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 12:25:53 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.37 % SZS status Unsatisfiable
% 0.12/0.37 % SZS output start Proof
% See solution above
% 0.20/0.41 % E exiting
%------------------------------------------------------------------------------