%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN004-1.007 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 05:37:56 AM UTC 2025
% Result : Unsatisfiable 0.17s 0.35s
% Output : Proof 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 39
% Syntax : Number of formulae : 100 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 341 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 459 ( 218 ~; 217 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 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 : 15 ( 14 usr; 15 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
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_2_type,type,
p_2: $o ).
tff(p_1_type,type,
p_1: $o ).
tff(q_1_type,type,
q_1: $o ).
tff(q_2_type,type,
q_2: $o ).
tff(q_3_type,type,
q_3: $o ).
tff(q_4_type,type,
q_4: $o ).
tff(q_5_type,type,
q_5: $o ).
tff(q_6_type,type,
q_6: $o ).
tff(q_7_type,type,
q_7: $o ).
tff(1,axiom,
p_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',base_1) ).
tff(2,axiom,
q_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',base_2) ).
tff(3,plain,
( ( ~ p_1
| ~ q_1
| p_2 )
<=> ( ~ p_1
| ~ q_1
| p_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,plain,
( ( ~ p_1
| ~ q_1
| p_2 )
<=> ( ~ p_1
| ~ q_1
| p_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,axiom,
( ~ p_1
| ~ q_1
| p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_1) ).
tff(6,plain,
( ~ p_1
| ~ q_1
| p_2 ),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
( ~ p_1
| ~ q_1
| p_2 ),
inference(modus_ponens,[status(thm)],[6,3]) ).
tff(8,plain,
( ~ p_1
| ~ q_1
| p_2 ),
inference(modus_ponens,[status(thm)],[7,3]) ).
tff(9,plain,
( ~ p_1
| ~ q_1
| p_2 ),
inference(modus_ponens,[status(thm)],[8,3]) ).
tff(10,plain,
p_2,
inference(unit_resolution,[status(thm)],[9,2,1]) ).
tff(11,plain,
( ( ~ p_1
| ~ q_1
| q_2 )
<=> ( ~ p_1
| ~ q_1
| q_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,plain,
( ( ~ p_1
| ~ q_1
| q_2 )
<=> ( ~ p_1
| ~ q_1
| q_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(13,axiom,
( ~ p_1
| ~ q_1
| q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqq_1) ).
tff(14,plain,
( ~ p_1
| ~ q_1
| q_2 ),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
( ~ p_1
| ~ q_1
| q_2 ),
inference(modus_ponens,[status(thm)],[14,11]) ).
tff(16,plain,
( ~ p_1
| ~ q_1
| q_2 ),
inference(modus_ponens,[status(thm)],[15,11]) ).
tff(17,plain,
( ~ p_1
| ~ q_1
| q_2 ),
inference(modus_ponens,[status(thm)],[16,11]) ).
tff(18,plain,
q_2,
inference(unit_resolution,[status(thm)],[17,2,1]) ).
tff(19,plain,
( ( ~ p_2
| ~ q_2
| p_3 )
<=> ( ~ p_2
| ~ q_2
| p_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,plain,
( ( ~ p_2
| ~ q_2
| p_3 )
<=> ( ~ p_2
| ~ q_2
| p_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(21,axiom,
( ~ p_2
| ~ q_2
| p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_2) ).
tff(22,plain,
( ~ p_2
| ~ q_2
| p_3 ),
inference(modus_ponens,[status(thm)],[21,20]) ).
tff(23,plain,
( ~ p_2
| ~ q_2
| p_3 ),
inference(modus_ponens,[status(thm)],[22,19]) ).
tff(24,plain,
( ~ p_2
| ~ q_2
| p_3 ),
inference(modus_ponens,[status(thm)],[23,19]) ).
tff(25,plain,
( ~ p_2
| ~ q_2
| p_3 ),
inference(modus_ponens,[status(thm)],[24,19]) ).
tff(26,plain,
p_3,
inference(unit_resolution,[status(thm)],[25,18,10]) ).
tff(27,plain,
( ( ~ p_2
| ~ q_2
| q_3 )
<=> ( ~ p_2
| ~ q_2
| q_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(28,plain,
( ( ~ p_2
| ~ q_2
| q_3 )
<=> ( ~ p_2
| ~ q_2
| q_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(29,axiom,
( ~ p_2
| ~ q_2
| q_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqq_2) ).
tff(30,plain,
( ~ p_2
| ~ q_2
| q_3 ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
( ~ p_2
| ~ q_2
| q_3 ),
inference(modus_ponens,[status(thm)],[30,27]) ).
tff(32,plain,
( ~ p_2
| ~ q_2
| q_3 ),
inference(modus_ponens,[status(thm)],[31,27]) ).
tff(33,plain,
( ~ p_2
| ~ q_2
| q_3 ),
inference(modus_ponens,[status(thm)],[32,27]) ).
tff(34,plain,
q_3,
inference(unit_resolution,[status(thm)],[33,18,10]) ).
tff(35,plain,
( ( ~ p_3
| ~ q_3
| p_4 )
<=> ( ~ p_3
| ~ q_3
| p_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(36,plain,
( ( ~ p_3
| ~ q_3
| p_4 )
<=> ( ~ p_3
| ~ q_3
| p_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(37,axiom,
( ~ p_3
| ~ q_3
| p_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_3) ).
tff(38,plain,
( ~ p_3
| ~ q_3
| p_4 ),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
( ~ p_3
| ~ q_3
| p_4 ),
inference(modus_ponens,[status(thm)],[38,35]) ).
tff(40,plain,
( ~ p_3
| ~ q_3
| p_4 ),
inference(modus_ponens,[status(thm)],[39,35]) ).
tff(41,plain,
( ~ p_3
| ~ q_3
| p_4 ),
inference(modus_ponens,[status(thm)],[40,35]) ).
tff(42,plain,
p_4,
inference(unit_resolution,[status(thm)],[41,34,26]) ).
tff(43,plain,
( ( ~ p_3
| ~ q_3
| q_4 )
<=> ( ~ p_3
| ~ q_3
| q_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(44,plain,
( ( ~ p_3
| ~ q_3
| q_4 )
<=> ( ~ p_3
| ~ q_3
| q_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(45,axiom,
( ~ p_3
| ~ q_3
| q_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqq_3) ).
tff(46,plain,
( ~ p_3
| ~ q_3
| q_4 ),
inference(modus_ponens,[status(thm)],[45,44]) ).
tff(47,plain,
( ~ p_3
| ~ q_3
| q_4 ),
inference(modus_ponens,[status(thm)],[46,43]) ).
tff(48,plain,
( ~ p_3
| ~ q_3
| q_4 ),
inference(modus_ponens,[status(thm)],[47,43]) ).
tff(49,plain,
( ~ p_3
| ~ q_3
| q_4 ),
inference(modus_ponens,[status(thm)],[48,43]) ).
tff(50,plain,
q_4,
inference(unit_resolution,[status(thm)],[49,34,26]) ).
tff(51,plain,
( ( ~ p_4
| ~ q_4
| p_5 )
<=> ( ~ p_4
| ~ q_4
| p_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(52,plain,
( ( ~ p_4
| ~ q_4
| p_5 )
<=> ( ~ p_4
| ~ q_4
| p_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(53,axiom,
( ~ p_4
| ~ q_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_4) ).
tff(54,plain,
( ~ p_4
| ~ q_4
| p_5 ),
inference(modus_ponens,[status(thm)],[53,52]) ).
tff(55,plain,
( ~ p_4
| ~ q_4
| p_5 ),
inference(modus_ponens,[status(thm)],[54,51]) ).
tff(56,plain,
( ~ p_4
| ~ q_4
| p_5 ),
inference(modus_ponens,[status(thm)],[55,51]) ).
tff(57,plain,
( ~ p_4
| ~ q_4
| p_5 ),
inference(modus_ponens,[status(thm)],[56,51]) ).
tff(58,plain,
p_5,
inference(unit_resolution,[status(thm)],[57,50,42]) ).
tff(59,plain,
( ( ~ p_4
| ~ q_4
| q_5 )
<=> ( ~ p_4
| ~ q_4
| q_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(60,plain,
( ( ~ p_4
| ~ q_4
| q_5 )
<=> ( ~ p_4
| ~ q_4
| q_5 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(61,axiom,
( ~ p_4
| ~ q_4
| q_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqq_4) ).
tff(62,plain,
( ~ p_4
| ~ q_4
| q_5 ),
inference(modus_ponens,[status(thm)],[61,60]) ).
tff(63,plain,
( ~ p_4
| ~ q_4
| q_5 ),
inference(modus_ponens,[status(thm)],[62,59]) ).
tff(64,plain,
( ~ p_4
| ~ q_4
| q_5 ),
inference(modus_ponens,[status(thm)],[63,59]) ).
tff(65,plain,
( ~ p_4
| ~ q_4
| q_5 ),
inference(modus_ponens,[status(thm)],[64,59]) ).
tff(66,plain,
q_5,
inference(unit_resolution,[status(thm)],[65,50,42]) ).
tff(67,plain,
( ( ~ p_5
| ~ q_5
| p_6 )
<=> ( ~ p_5
| ~ q_5
| p_6 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(68,plain,
( ( ~ p_5
| ~ q_5
| p_6 )
<=> ( ~ p_5
| ~ q_5
| p_6 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(69,axiom,
( ~ p_5
| ~ q_5
| p_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_5) ).
tff(70,plain,
( ~ p_5
| ~ q_5
| p_6 ),
inference(modus_ponens,[status(thm)],[69,68]) ).
tff(71,plain,
( ~ p_5
| ~ q_5
| p_6 ),
inference(modus_ponens,[status(thm)],[70,67]) ).
tff(72,plain,
( ~ p_5
| ~ q_5
| p_6 ),
inference(modus_ponens,[status(thm)],[71,67]) ).
tff(73,plain,
( ~ p_5
| ~ q_5
| p_6 ),
inference(modus_ponens,[status(thm)],[72,67]) ).
tff(74,plain,
p_6,
inference(unit_resolution,[status(thm)],[73,66,58]) ).
tff(75,plain,
( ( ~ p_5
| ~ q_5
| q_6 )
<=> ( ~ p_5
| ~ q_5
| q_6 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(76,plain,
( ( ~ p_5
| ~ q_5
| q_6 )
<=> ( ~ p_5
| ~ q_5
| q_6 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(77,axiom,
( ~ p_5
| ~ q_5
| q_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqq_5) ).
tff(78,plain,
( ~ p_5
| ~ q_5
| q_6 ),
inference(modus_ponens,[status(thm)],[77,76]) ).
tff(79,plain,
( ~ p_5
| ~ q_5
| q_6 ),
inference(modus_ponens,[status(thm)],[78,75]) ).
tff(80,plain,
( ~ p_5
| ~ q_5
| q_6 ),
inference(modus_ponens,[status(thm)],[79,75]) ).
tff(81,plain,
( ~ p_5
| ~ q_5
| q_6 ),
inference(modus_ponens,[status(thm)],[80,75]) ).
tff(82,plain,
q_6,
inference(unit_resolution,[status(thm)],[81,66,58]) ).
tff(83,plain,
( ( ~ p_6
| ~ q_6
| p_7 )
<=> ( ~ p_6
| ~ q_6
| p_7 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(84,plain,
( ( ~ p_6
| ~ q_6
| p_7 )
<=> ( ~ p_6
| ~ q_6
| p_7 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(85,axiom,
( ~ p_6
| ~ q_6
| p_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_6) ).
tff(86,plain,
( ~ p_6
| ~ q_6
| p_7 ),
inference(modus_ponens,[status(thm)],[85,84]) ).
tff(87,plain,
( ~ p_6
| ~ q_6
| p_7 ),
inference(modus_ponens,[status(thm)],[86,83]) ).
tff(88,plain,
( ~ p_6
| ~ q_6
| p_7 ),
inference(modus_ponens,[status(thm)],[87,83]) ).
tff(89,plain,
( ~ p_6
| ~ q_6
| p_7 ),
inference(modus_ponens,[status(thm)],[88,83]) ).
tff(90,plain,
p_7,
inference(unit_resolution,[status(thm)],[89,82,74]) ).
tff(91,plain,
( ( ~ p_6
| ~ q_6
| q_7 )
<=> ( ~ p_6
| ~ q_6
| q_7 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(92,plain,
( ( ~ p_6
| ~ q_6
| q_7 )
<=> ( ~ p_6
| ~ q_6
| q_7 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(93,axiom,
( ~ p_6
| ~ q_6
| q_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqq_6) ).
tff(94,plain,
( ~ p_6
| ~ q_6
| q_7 ),
inference(modus_ponens,[status(thm)],[93,92]) ).
tff(95,plain,
( ~ p_6
| ~ q_6
| q_7 ),
inference(modus_ponens,[status(thm)],[94,91]) ).
tff(96,plain,
( ~ p_6
| ~ q_6
| q_7 ),
inference(modus_ponens,[status(thm)],[95,91]) ).
tff(97,plain,
( ~ p_6
| ~ q_6
| q_7 ),
inference(modus_ponens,[status(thm)],[96,91]) ).
tff(98,plain,
q_7,
inference(unit_resolution,[status(thm)],[97,82,74]) ).
tff(99,axiom,
( ~ p_7
| ~ q_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',base_3) ).
tff(100,plain,
$false,
inference(unit_resolution,[status(thm)],[99,98,90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN004-1.007 : TPTP v9.0.0. Released v1.0.0.
% 0.00/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n001.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 20 12:30:20 EDT 2025
% 0.17/0.32 % CPUTime :
% 0.17/0.35 % SZS status Unsatisfiable
% 0.17/0.35 % SZS output start Proof
% See solution above
% 0.17/0.36 % E exiting
%------------------------------------------------------------------------------