%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN003-1.006 : 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 05:37:56 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 29
% Syntax : Number of formulae : 64 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 189 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 238 ( 113 ~; 110 |; 0 &)
% ( 15 <=>; 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 : 14 ( 13 usr; 14 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(q_3_type,type,
q_3: $o ).
tff(q_type,type,
q: $o ).
tff(p_3_type,type,
p_3: $o ).
tff(q_2_type,type,
q_2: $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(p_4_type,type,
p_4: $o ).
tff(r_4_type,type,
r_4: $o ).
tff(r_type,type,
r: $o ).
tff(p_5_type,type,
p_5: $o ).
tff(p_6_type,type,
p_6: $o ).
tff(q_5_type,type,
q_5: $o ).
tff(1,axiom,
q,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',base_3) ).
tff(2,plain,
( ( ~ q
| q_3 )
<=> ( q_3
| ~ q ) ),
inference(rewrite,[status(thm)],[]) ).
tff(3,axiom,
( ~ q
| q_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qq_3) ).
tff(4,plain,
( q_3
| ~ q ),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
q_3,
inference(unit_resolution,[status(thm)],[4,1]) ).
tff(6,plain,
( ( ~ q
| q_2 )
<=> ( q_2
| ~ q ) ),
inference(rewrite,[status(thm)],[]) ).
tff(7,axiom,
( ~ q
| q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qq_2) ).
tff(8,plain,
( q_2
| ~ q ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
q_2,
inference(unit_resolution,[status(thm)],[8,1]) ).
tff(10,axiom,
p_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',base_1) ).
tff(11,plain,
( ( ~ q
| q_1 )
<=> ( q_1
| ~ q ) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,axiom,
( ~ q
| q_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qq_1) ).
tff(13,plain,
( q_1
| ~ q ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
q_1,
inference(unit_resolution,[status(thm)],[13,1]) ).
tff(15,plain,
( ( ~ p_1
| ~ q_1
| p_2 )
<=> ( ~ p_1
| ~ q_1
| p_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(16,plain,
( ( ~ p_1
| ~ q_1
| p_2 )
<=> ( ~ p_1
| ~ q_1
| p_2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,axiom,
( ~ p_1
| ~ q_1
| p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_1) ).
tff(18,plain,
( ~ p_1
| ~ q_1
| p_2 ),
inference(modus_ponens,[status(thm)],[17,16]) ).
tff(19,plain,
( ~ p_1
| ~ q_1
| p_2 ),
inference(modus_ponens,[status(thm)],[18,15]) ).
tff(20,plain,
( ~ p_1
| ~ q_1
| p_2 ),
inference(modus_ponens,[status(thm)],[19,15]) ).
tff(21,plain,
( ~ p_1
| ~ q_1
| p_2 ),
inference(modus_ponens,[status(thm)],[20,15]) ).
tff(22,plain,
p_2,
inference(unit_resolution,[status(thm)],[21,14,10]) ).
tff(23,plain,
( ( ~ p_2
| ~ q_2
| p_3 )
<=> ( ~ p_2
| ~ q_2
| p_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(24,plain,
( ( ~ p_2
| ~ q_2
| p_3 )
<=> ( ~ p_2
| ~ q_2
| p_3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(25,axiom,
( ~ p_2
| ~ q_2
| p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_2) ).
tff(26,plain,
( ~ p_2
| ~ q_2
| p_3 ),
inference(modus_ponens,[status(thm)],[25,24]) ).
tff(27,plain,
( ~ p_2
| ~ q_2
| p_3 ),
inference(modus_ponens,[status(thm)],[26,23]) ).
tff(28,plain,
( ~ p_2
| ~ q_2
| p_3 ),
inference(modus_ponens,[status(thm)],[27,23]) ).
tff(29,plain,
( ~ p_2
| ~ q_2
| p_3 ),
inference(modus_ponens,[status(thm)],[28,23]) ).
tff(30,plain,
p_3,
inference(unit_resolution,[status(thm)],[29,22,9]) ).
tff(31,axiom,
r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',base_4) ).
tff(32,plain,
( ( ~ r
| r_4 )
<=> ( r_4
| ~ r ) ),
inference(rewrite,[status(thm)],[]) ).
tff(33,axiom,
( ~ r
| r_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rr_4) ).
tff(34,plain,
( r_4
| ~ r ),
inference(modus_ponens,[status(thm)],[33,32]) ).
tff(35,plain,
r_4,
inference(unit_resolution,[status(thm)],[34,31]) ).
tff(36,axiom,
~ p_6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',base_2) ).
tff(37,plain,
( ( ~ q
| q_5 )
<=> ( q_5
| ~ q ) ),
inference(rewrite,[status(thm)],[]) ).
tff(38,axiom,
( ~ q
| q_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qq_5) ).
tff(39,plain,
( q_5
| ~ q ),
inference(modus_ponens,[status(thm)],[38,37]) ).
tff(40,plain,
q_5,
inference(unit_resolution,[status(thm)],[39,1]) ).
tff(41,plain,
( ( ~ p_5
| ~ q_5
| p_6 )
<=> ( ~ p_5
| ~ q_5
| p_6 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(42,plain,
( ( ~ p_5
| ~ q_5
| p_6 )
<=> ( ~ p_5
| ~ q_5
| p_6 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(43,axiom,
( ~ p_5
| ~ q_5
| p_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_5) ).
tff(44,plain,
( ~ p_5
| ~ q_5
| p_6 ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
( ~ p_5
| ~ q_5
| p_6 ),
inference(modus_ponens,[status(thm)],[44,41]) ).
tff(46,plain,
( ~ p_5
| ~ q_5
| p_6 ),
inference(modus_ponens,[status(thm)],[45,41]) ).
tff(47,plain,
( ~ p_5
| ~ q_5
| p_6 ),
inference(modus_ponens,[status(thm)],[46,41]) ).
tff(48,plain,
~ p_5,
inference(unit_resolution,[status(thm)],[47,40,36]) ).
tff(49,plain,
( ( ~ p_4
| p_5
| ~ r_4 )
<=> ( ~ p_4
| p_5
| ~ r_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(50,plain,
( ( ~ p_4
| ~ r_4
| p_5 )
<=> ( ~ p_4
| p_5
| ~ r_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(51,axiom,
( ~ p_4
| ~ r_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prp_4) ).
tff(52,plain,
( ~ p_4
| p_5
| ~ r_4 ),
inference(modus_ponens,[status(thm)],[51,50]) ).
tff(53,plain,
( ~ p_4
| p_5
| ~ r_4 ),
inference(modus_ponens,[status(thm)],[52,49]) ).
tff(54,plain,
( ~ p_4
| p_5
| ~ r_4 ),
inference(modus_ponens,[status(thm)],[53,49]) ).
tff(55,plain,
( ~ p_4
| p_5
| ~ r_4 ),
inference(modus_ponens,[status(thm)],[54,49]) ).
tff(56,plain,
~ p_4,
inference(unit_resolution,[status(thm)],[55,48,35]) ).
tff(57,plain,
( ( ~ p_3
| ~ q_3
| p_4 )
<=> ( ~ p_3
| ~ q_3
| p_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(58,plain,
( ( ~ p_3
| ~ q_3
| p_4 )
<=> ( ~ p_3
| ~ q_3
| p_4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(59,axiom,
( ~ p_3
| ~ q_3
| p_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pqp_3) ).
tff(60,plain,
( ~ p_3
| ~ q_3
| p_4 ),
inference(modus_ponens,[status(thm)],[59,58]) ).
tff(61,plain,
( ~ p_3
| ~ q_3
| p_4 ),
inference(modus_ponens,[status(thm)],[60,57]) ).
tff(62,plain,
( ~ p_3
| ~ q_3
| p_4 ),
inference(modus_ponens,[status(thm)],[61,57]) ).
tff(63,plain,
( ~ p_3
| ~ q_3
| p_4 ),
inference(modus_ponens,[status(thm)],[62,57]) ).
tff(64,plain,
$false,
inference(unit_resolution,[status(thm)],[63,56,30,5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN003-1.006 : TPTP v9.0.0. Released v1.0.0.
% 0.08/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n005.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 12:26:05 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.36 % SZS status Unsatisfiable
% 0.12/0.36 % SZS output start Proof
% See solution above
% 0.12/0.36 % E exiting
%------------------------------------------------------------------------------