TSTP Solution File: KRS148+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS148+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n016.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 Sep 17 17:44:58 EDT 2022
% Result : Theorem 0.20s 0.43s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 47
% Syntax : Number of formulae : 91 ( 16 unt; 11 typ; 0 def)
% Number of atoms : 397 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 572 ( 261 ~; 98 |; 97 &)
% ( 116 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 6 ( 6 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 69 ( 63 !; 0 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
tff(cTOP_type,type,
cTOP: $i > $o ).
tff(iV5475_type,type,
iV5475: $i ).
tff(cC138_type,type,
cC138: $i > $o ).
tff(cC140_type,type,
cC140: $i > $o ).
tff(cC116_type,type,
cC116: $i > $o ).
tff(cTEST_type,type,
cTEST: $i > $o ).
tff(cC114_type,type,
cC114: $i > $o ).
tff(cowlThing_type,type,
cowlThing: $i > $o ).
tff(xsd_integer_type,type,
xsd_integer: $i > $o ).
tff(xsd_string_type,type,
xsd_string: $i > $o ).
tff(cowlNothing_type,type,
cowlNothing: $i > $o ).
tff(1,plain,
^ [X: $i] :
refl(
( ( cC140(X)
<=> ~ ( ~ cC138(X)
| ~ cTOP(X) ) )
<=> ( cC140(X)
<=> ~ ( ~ cC138(X)
| ~ cTOP(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [X: $i] :
( cC140(X)
<=> ~ ( ~ cC138(X)
| ~ cTOP(X) ) )
<=> ! [X: $i] :
( cC140(X)
<=> ~ ( ~ cC138(X)
| ~ cTOP(X) ) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
^ [X: $i] :
rewrite(
( ( cC140(X)
<=> ( cTOP(X)
& cC138(X) ) )
<=> ( cC140(X)
<=> ~ ( ~ cC138(X)
| ~ cTOP(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(4,plain,
( ! [X: $i] :
( cC140(X)
<=> ( cTOP(X)
& cC138(X) ) )
<=> ! [X: $i] :
( cC140(X)
<=> ~ ( ~ cC138(X)
| ~ cTOP(X) ) ) ),
inference(quant_intro,[status(thm)],[3]) ).
tff(5,plain,
( ! [X: $i] :
( cC140(X)
<=> ( cTOP(X)
& cC138(X) ) )
<=> ! [X: $i] :
( cC140(X)
<=> ( cTOP(X)
& cC138(X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(6,axiom,
! [X: $i] :
( cC140(X)
<=> ( cTOP(X)
& cC138(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
tff(7,plain,
! [X: $i] :
( cC140(X)
<=> ( cTOP(X)
& cC138(X) ) ),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
! [X: $i] :
( cC140(X)
<=> ( cTOP(X)
& cC138(X) ) ),
inference(skolemize,[status(sab)],[7]) ).
tff(9,plain,
! [X: $i] :
( cC140(X)
<=> ~ ( ~ cC138(X)
| ~ cTOP(X) ) ),
inference(modus_ponens,[status(thm)],[8,4]) ).
tff(10,plain,
! [X: $i] :
( cC140(X)
<=> ~ ( ~ cC138(X)
| ~ cTOP(X) ) ),
inference(modus_ponens,[status(thm)],[9,2]) ).
tff(11,plain,
( ~ ! [X: $i] :
( cC140(X)
<=> ~ ( ~ cC138(X)
| ~ cTOP(X) ) )
| ( cC140(iV5475)
<=> ~ ( ~ cC138(iV5475)
| ~ cTOP(iV5475) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(12,plain,
( cC140(iV5475)
<=> ~ ( ~ cC138(iV5475)
| ~ cTOP(iV5475) ) ),
inference(unit_resolution,[status(thm)],[11,10]) ).
tff(13,plain,
^ [X: $i] :
refl(
( ( cTEST(X)
<=> ~ ( ~ cC140(X)
| ~ cC116(X) ) )
<=> ( cTEST(X)
<=> ~ ( ~ cC140(X)
| ~ cC116(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(14,plain,
( ! [X: $i] :
( cTEST(X)
<=> ~ ( ~ cC140(X)
| ~ cC116(X) ) )
<=> ! [X: $i] :
( cTEST(X)
<=> ~ ( ~ cC140(X)
| ~ cC116(X) ) ) ),
inference(quant_intro,[status(thm)],[13]) ).
tff(15,plain,
^ [X: $i] :
rewrite(
( ( cTEST(X)
<=> ( cC140(X)
& cC116(X) ) )
<=> ( cTEST(X)
<=> ~ ( ~ cC140(X)
| ~ cC116(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(16,plain,
( ! [X: $i] :
( cTEST(X)
<=> ( cC140(X)
& cC116(X) ) )
<=> ! [X: $i] :
( cTEST(X)
<=> ~ ( ~ cC140(X)
| ~ cC116(X) ) ) ),
inference(quant_intro,[status(thm)],[15]) ).
tff(17,plain,
( ! [X: $i] :
( cTEST(X)
<=> ( cC140(X)
& cC116(X) ) )
<=> ! [X: $i] :
( cTEST(X)
<=> ( cC140(X)
& cC116(X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(18,axiom,
! [X: $i] :
( cTEST(X)
<=> ( cC140(X)
& cC116(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).
tff(19,plain,
! [X: $i] :
( cTEST(X)
<=> ( cC140(X)
& cC116(X) ) ),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
! [X: $i] :
( cTEST(X)
<=> ( cC140(X)
& cC116(X) ) ),
inference(skolemize,[status(sab)],[19]) ).
tff(21,plain,
! [X: $i] :
( cTEST(X)
<=> ~ ( ~ cC140(X)
| ~ cC116(X) ) ),
inference(modus_ponens,[status(thm)],[20,16]) ).
tff(22,plain,
! [X: $i] :
( cTEST(X)
<=> ~ ( ~ cC140(X)
| ~ cC116(X) ) ),
inference(modus_ponens,[status(thm)],[21,14]) ).
tff(23,plain,
( ( ~ ! [X: $i] :
( cTEST(X)
<=> ~ ( ~ cC140(X)
| ~ cC116(X) ) )
| ( cTEST(iV5475)
<=> ~ ( ~ cC116(iV5475)
| ~ cC140(iV5475) ) ) )
<=> ( ~ ! [X: $i] :
( cTEST(X)
<=> ~ ( ~ cC140(X)
| ~ cC116(X) ) )
| ( cTEST(iV5475)
<=> ~ ( ~ cC116(iV5475)
| ~ cC140(iV5475) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(24,plain,
( ( cTEST(iV5475)
<=> ~ ( ~ cC140(iV5475)
| ~ cC116(iV5475) ) )
<=> ( cTEST(iV5475)
<=> ~ ( ~ cC116(iV5475)
| ~ cC140(iV5475) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(25,plain,
( ( ~ ! [X: $i] :
( cTEST(X)
<=> ~ ( ~ cC140(X)
| ~ cC116(X) ) )
| ( cTEST(iV5475)
<=> ~ ( ~ cC140(iV5475)
| ~ cC116(iV5475) ) ) )
<=> ( ~ ! [X: $i] :
( cTEST(X)
<=> ~ ( ~ cC140(X)
| ~ cC116(X) ) )
| ( cTEST(iV5475)
<=> ~ ( ~ cC116(iV5475)
| ~ cC140(iV5475) ) ) ) ),
inference(monotonicity,[status(thm)],[24]) ).
tff(26,plain,
( ( ~ ! [X: $i] :
( cTEST(X)
<=> ~ ( ~ cC140(X)
| ~ cC116(X) ) )
| ( cTEST(iV5475)
<=> ~ ( ~ cC140(iV5475)
| ~ cC116(iV5475) ) ) )
<=> ( ~ ! [X: $i] :
( cTEST(X)
<=> ~ ( ~ cC140(X)
| ~ cC116(X) ) )
| ( cTEST(iV5475)
<=> ~ ( ~ cC116(iV5475)
| ~ cC140(iV5475) ) ) ) ),
inference(transitivity,[status(thm)],[25,23]) ).
tff(27,plain,
( ~ ! [X: $i] :
( cTEST(X)
<=> ~ ( ~ cC140(X)
| ~ cC116(X) ) )
| ( cTEST(iV5475)
<=> ~ ( ~ cC140(iV5475)
| ~ cC116(iV5475) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(28,plain,
( ~ ! [X: $i] :
( cTEST(X)
<=> ~ ( ~ cC140(X)
| ~ cC116(X) ) )
| ( cTEST(iV5475)
<=> ~ ( ~ cC116(iV5475)
| ~ cC140(iV5475) ) ) ),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
( cTEST(iV5475)
<=> ~ ( ~ cC116(iV5475)
| ~ cC140(iV5475) ) ),
inference(unit_resolution,[status(thm)],[28,22]) ).
tff(30,plain,
( cTEST(iV5475)
<=> cTEST(iV5475) ),
inference(rewrite,[status(thm)],]) ).
tff(31,axiom,
cTEST(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_72) ).
tff(32,plain,
cTEST(iV5475),
inference(modus_ponens,[status(thm)],[31,30]) ).
tff(33,plain,
( ~ ( cTEST(iV5475)
<=> ~ ( ~ cC116(iV5475)
| ~ cC140(iV5475) ) )
| ~ cTEST(iV5475)
| ~ ( ~ cC116(iV5475)
| ~ cC140(iV5475) ) ),
inference(tautology,[status(thm)],]) ).
tff(34,plain,
( ~ ( cTEST(iV5475)
<=> ~ ( ~ cC116(iV5475)
| ~ cC140(iV5475) ) )
| ~ ( ~ cC116(iV5475)
| ~ cC140(iV5475) ) ),
inference(unit_resolution,[status(thm)],[33,32]) ).
tff(35,plain,
~ ( ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(unit_resolution,[status(thm)],[34,29]) ).
tff(36,plain,
( ~ cC116(iV5475)
| ~ cC140(iV5475)
| cC140(iV5475) ),
inference(tautology,[status(thm)],]) ).
tff(37,plain,
cC140(iV5475),
inference(unit_resolution,[status(thm)],[36,35]) ).
tff(38,plain,
( ~ ( cC140(iV5475)
<=> ~ ( ~ cC138(iV5475)
| ~ cTOP(iV5475) ) )
| ~ cC140(iV5475)
| ~ ( ~ cC138(iV5475)
| ~ cTOP(iV5475) ) ),
inference(tautology,[status(thm)],]) ).
tff(39,plain,
~ ( ~ cC138(iV5475)
| ~ cTOP(iV5475) ),
inference(unit_resolution,[status(thm)],[38,37,12]) ).
tff(40,plain,
^ [X: $i] :
refl(
( ( cC116(X)
<=> ~ ( cC114(X)
| ~ cTOP(X) ) )
<=> ( cC116(X)
<=> ~ ( cC114(X)
| ~ cTOP(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(41,plain,
( ! [X: $i] :
( cC116(X)
<=> ~ ( cC114(X)
| ~ cTOP(X) ) )
<=> ! [X: $i] :
( cC116(X)
<=> ~ ( cC114(X)
| ~ cTOP(X) ) ) ),
inference(quant_intro,[status(thm)],[40]) ).
tff(42,plain,
^ [X: $i] :
rewrite(
( ( cC116(X)
<=> ( cTOP(X)
& ~ cC114(X) ) )
<=> ( cC116(X)
<=> ~ ( cC114(X)
| ~ cTOP(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(43,plain,
( ! [X: $i] :
( cC116(X)
<=> ( cTOP(X)
& ~ cC114(X) ) )
<=> ! [X: $i] :
( cC116(X)
<=> ~ ( cC114(X)
| ~ cTOP(X) ) ) ),
inference(quant_intro,[status(thm)],[42]) ).
tff(44,plain,
( ! [X: $i] :
( cC116(X)
<=> ( cTOP(X)
& ~ cC114(X) ) )
<=> ! [X: $i] :
( cC116(X)
<=> ( cTOP(X)
& ~ cC114(X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(45,axiom,
! [X: $i] :
( cC116(X)
<=> ( cTOP(X)
& ~ cC114(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
tff(46,plain,
! [X: $i] :
( cC116(X)
<=> ( cTOP(X)
& ~ cC114(X) ) ),
inference(modus_ponens,[status(thm)],[45,44]) ).
tff(47,plain,
! [X: $i] :
( cC116(X)
<=> ( cTOP(X)
& ~ cC114(X) ) ),
inference(skolemize,[status(sab)],[46]) ).
tff(48,plain,
! [X: $i] :
( cC116(X)
<=> ~ ( cC114(X)
| ~ cTOP(X) ) ),
inference(modus_ponens,[status(thm)],[47,43]) ).
tff(49,plain,
! [X: $i] :
( cC116(X)
<=> ~ ( cC114(X)
| ~ cTOP(X) ) ),
inference(modus_ponens,[status(thm)],[48,41]) ).
tff(50,plain,
( ~ ! [X: $i] :
( cC116(X)
<=> ~ ( cC114(X)
| ~ cTOP(X) ) )
| ( cC116(iV5475)
<=> ~ ( cC114(iV5475)
| ~ cTOP(iV5475) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(51,plain,
( cC116(iV5475)
<=> ~ ( cC114(iV5475)
| ~ cTOP(iV5475) ) ),
inference(unit_resolution,[status(thm)],[50,49]) ).
tff(52,plain,
( ~ cC114(iV5475)
<=> ~ cC114(iV5475) ),
inference(rewrite,[status(thm)],]) ).
tff(53,axiom,
~ cC114(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_76) ).
tff(54,plain,
~ cC114(iV5475),
inference(modus_ponens,[status(thm)],[53,52]) ).
tff(55,plain,
( cTOP(iV5475)
<=> cTOP(iV5475) ),
inference(rewrite,[status(thm)],]) ).
tff(56,axiom,
cTOP(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_73) ).
tff(57,plain,
cTOP(iV5475),
inference(modus_ponens,[status(thm)],[56,55]) ).
tff(58,plain,
( ~ ( cC114(iV5475)
| ~ cTOP(iV5475) )
| cC114(iV5475)
| ~ cTOP(iV5475) ),
inference(tautology,[status(thm)],]) ).
tff(59,plain,
~ ( cC114(iV5475)
| ~ cTOP(iV5475) ),
inference(unit_resolution,[status(thm)],[58,57,54]) ).
tff(60,plain,
( ~ ( cC116(iV5475)
<=> ~ ( cC114(iV5475)
| ~ cTOP(iV5475) ) )
| cC116(iV5475)
| cC114(iV5475)
| ~ cTOP(iV5475) ),
inference(tautology,[status(thm)],]) ).
tff(61,plain,
( ~ ( cC116(iV5475)
<=> ~ ( cC114(iV5475)
| ~ cTOP(iV5475) ) )
| cC116(iV5475) ),
inference(unit_resolution,[status(thm)],[60,59]) ).
tff(62,plain,
cC116(iV5475),
inference(unit_resolution,[status(thm)],[61,51]) ).
tff(63,plain,
( ~ ~ ( ~ cC138(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) )
<=> ( ~ cC138(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ) ),
inference(rewrite,[status(thm)],]) ).
tff(64,plain,
( ( cC138(iV5475)
& cC116(iV5475)
& cC140(iV5475) )
<=> ~ ( ~ cC138(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ) ),
inference(rewrite,[status(thm)],]) ).
tff(65,plain,
( ~ ( cC138(iV5475)
& cC116(iV5475)
& cC140(iV5475) )
<=> ~ ~ ( ~ cC138(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ) ),
inference(monotonicity,[status(thm)],[64]) ).
tff(66,plain,
( ~ ( cC138(iV5475)
& cC116(iV5475)
& cC140(iV5475) )
<=> ( ~ cC138(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ) ),
inference(transitivity,[status(thm)],[65,63]) ).
tff(67,plain,
( ~ ( cC138(iV5475)
& cC116(iV5475)
& cC140(iV5475) )
<=> ~ ( cC138(iV5475)
& cC116(iV5475)
& cC140(iV5475) ) ),
inference(rewrite,[status(thm)],]) ).
tff(68,plain,
( ~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) )
<=> ~ ( cC138(iV5475)
& cC116(iV5475)
& cC140(iV5475) ) ),
inference(rewrite,[status(thm)],]) ).
tff(69,plain,
( ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) )
<=> ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) ) ),
inference(rewrite,[status(thm)],]) ).
tff(70,plain,
( ~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) )
<=> ~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) ) ),
inference(monotonicity,[status(thm)],[69]) ).
tff(71,plain,
( ~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) )
<=> ~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) ) ),
inference(rewrite,[status(thm)],]) ).
tff(72,axiom,
~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
tff(73,plain,
~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) ),
inference(modus_ponens,[status(thm)],[72,71]) ).
tff(74,plain,
~ ( ! [X: $i] :
( cowlThing(X)
& ~ cowlNothing(X) )
& ! [X: $i] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) ),
inference(modus_ponens,[status(thm)],[73,70]) ).
tff(75,plain,
~ ( cC138(iV5475)
& cC116(iV5475)
& cC140(iV5475) ),
inference(modus_ponens,[status(thm)],[74,68]) ).
tff(76,plain,
~ ( cC138(iV5475)
& cC116(iV5475)
& cC140(iV5475) ),
inference(modus_ponens,[status(thm)],[75,67]) ).
tff(77,plain,
( ~ cC138(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(modus_ponens,[status(thm)],[76,66]) ).
tff(78,plain,
~ cC138(iV5475),
inference(unit_resolution,[status(thm)],[77,37,62]) ).
tff(79,plain,
( ~ cC138(iV5475)
| ~ cTOP(iV5475)
| cC138(iV5475) ),
inference(tautology,[status(thm)],]) ).
tff(80,plain,
$false,
inference(unit_resolution,[status(thm)],[79,78,39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS148+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Sep 1 10:01:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.20/0.43 % SZS status Theorem
% 0.20/0.43 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------