TSTP Solution File: NUM841+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM841+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pHPRpduGqw true
% 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 : Thu Aug 31 12:44:25 EDT 2023
% Result : Theorem 3.66s 1.15s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 39
% Syntax : Number of formulae : 61 ( 33 unt; 8 typ; 0 def)
% Number of atoms : 77 ( 21 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 326 ( 30 ~; 21 |; 0 &; 272 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 71 ( 0 ^; 70 !; 1 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(vd345_type,type,
vd345: $i ).
thf(vd347_type,type,
vd347: $i ).
thf(vd348_type,type,
vd348: $i ).
thf(vd344_type,type,
vd344: $i ).
thf(vplus_type,type,
vplus: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(less_type,type,
less: $i > $i > $o ).
thf('holds(212, 350, 0)',axiom,
greater @ ( vplus @ vd344 @ vd347 ) @ ( vplus @ vd345 @ vd347 ) ).
thf(zip_derived_cl4,plain,
greater @ ( vplus @ vd344 @ vd347 ) @ ( vplus @ vd345 @ vd347 ),
inference(cnf,[status(esa)],[holds(212,350,0)]) ).
thf('ass(cond(61, 0), 0)',axiom,
! [Vd78: $i,Vd79: $i] :
( ( vplus @ Vd79 @ Vd78 )
= ( vplus @ Vd78 @ Vd79 ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf(zip_derived_cl126,plain,
greater @ ( vplus @ vd347 @ vd344 ) @ ( vplus @ vd345 @ vd347 ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl21]) ).
thf('ass(cond(goal(130), 0), 0)',axiom,
! [Vd203: $i,Vd204: $i] :
( ( less @ Vd203 @ Vd204 )
| ( greater @ Vd203 @ Vd204 )
| ( Vd203 = Vd204 ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( less @ X0 @ X1 )
| ( greater @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[ass(cond(goal(130),0),0)]) ).
thf('ass(cond(147, 0), 0)',axiom,
! [Vd226: $i,Vd227: $i] :
( ( less @ Vd226 @ Vd227 )
=> ( greater @ Vd227 @ Vd226 ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( greater @ X0 @ X1 )
| ~ ( less @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[ass(cond(147,0),0)]) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( greater @ X1 @ X0 )
| ( greater @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl14]) ).
thf('holds(214, 352, 0)',conjecture,
greater @ ( vplus @ vd344 @ vd347 ) @ ( vplus @ vd345 @ vd348 ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( greater @ ( vplus @ vd344 @ vd347 ) @ ( vplus @ vd345 @ vd348 ) ),
inference('cnf.neg',[status(esa)],[holds(214,352,0)]) ).
thf(zip_derived_cl0,plain,
~ ( greater @ ( vplus @ vd344 @ vd347 ) @ ( vplus @ vd345 @ vd348 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21_001,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf(zip_derived_cl125,plain,
~ ( greater @ ( vplus @ vd347 @ vd344 ) @ ( vplus @ vd345 @ vd348 ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl21]) ).
thf(zip_derived_cl2280,plain,
( ( greater @ ( vplus @ vd345 @ vd348 ) @ ( vplus @ vd347 @ vd344 ) )
| ( ( vplus @ vd347 @ vd344 )
= ( vplus @ vd345 @ vd348 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl125]) ).
thf(zip_derived_cl126_002,plain,
greater @ ( vplus @ vd347 @ vd344 ) @ ( vplus @ vd345 @ vd347 ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl21]) ).
thf('def(cond(conseq(axiom(3)), 11), 1)',axiom,
! [Vd193: $i,Vd194: $i] :
( ( greater @ Vd194 @ Vd193 )
<=> ? [Vd196: $i] :
( Vd194
= ( vplus @ Vd193 @ Vd196 ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( vplus @ X0 @ ( sk_ @ X1 @ X0 ) ) )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[def(cond(conseq(axiom(3)),11),1)]) ).
thf(zip_derived_cl21_003,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf(zip_derived_cl18_004,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( vplus @ X0 @ ( sk_ @ X1 @ X0 ) ) )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[def(cond(conseq(axiom(3)),11),1)]) ).
thf(zip_derived_cl21_005,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf('ass(cond(33, 0), 0)',axiom,
! [Vd46: $i,Vd47: $i,Vd48: $i] :
( ( vplus @ ( vplus @ Vd46 @ Vd47 ) @ Vd48 )
= ( vplus @ Vd46 @ ( vplus @ Vd47 @ Vd48 ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vplus @ ( vplus @ X0 @ X1 ) @ X2 )
= ( vplus @ X0 @ ( vplus @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[ass(cond(33,0),0)]) ).
thf(zip_derived_cl21_006,plain,
! [X0: $i,X1: $i] :
( ( vplus @ X1 @ X0 )
= ( vplus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).
thf('ass(cond(189, 0), 0)',axiom,
! [Vd295: $i,Vd296: $i] : ( greater @ ( vplus @ Vd295 @ Vd296 ) @ Vd295 ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] : ( greater @ ( vplus @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[ass(cond(189,0),0)]) ).
thf('ass(cond(140, 0), 0)',axiom,
! [Vd208: $i,Vd209: $i] :
( ( greater @ Vd208 @ Vd209 )
=> ( less @ Vd209 @ Vd208 ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( less @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[ass(cond(140,0),0)]) ).
thf('ass(cond(goal(130), 0), 2)',axiom,
! [Vd203: $i,Vd204: $i] :
( ~ ( less @ Vd203 @ Vd204 )
| ~ ( greater @ Vd203 @ Vd204 ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ~ ( less @ X0 @ X1 )
| ~ ( greater @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ass(cond(goal(130),0),2)]) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl17]) ).
thf(zip_derived_cl64,plain,
! [X0: $i,X1: $i] :
~ ( greater @ X0 @ ( vplus @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl32]) ).
thf(zip_derived_cl139,plain,
! [X0: $i,X1: $i] :
~ ( greater @ X0 @ ( vplus @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl64]) ).
thf(zip_derived_cl266,plain,
! [X0: $i,X1: $i,X2: $i] :
~ ( greater @ X0 @ ( vplus @ X2 @ ( vplus @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl139]) ).
thf(zip_derived_cl1037,plain,
! [X0: $i,X1: $i,X2: $i] :
~ ( greater @ X1 @ ( vplus @ X2 @ ( vplus @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl266]) ).
thf(zip_derived_cl1065,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( greater @ X1 @ ( vplus @ X2 @ X0 ) )
| ~ ( greater @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl1037]) ).
thf(zip_derived_cl1390,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( greater @ X2 @ ( vplus @ X1 @ X0 ) )
| ~ ( greater @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl1065]) ).
thf(zip_derived_cl1515,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( greater @ X2 @ X0 )
| ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl1390]) ).
thf(zip_derived_cl1638,plain,
! [X0: $i] :
( ~ ( greater @ X0 @ ( vplus @ vd347 @ vd344 ) )
| ~ ( greater @ ( vplus @ vd345 @ vd347 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl1515]) ).
thf(zip_derived_cl2387,plain,
( ( ( vplus @ vd347 @ vd344 )
= ( vplus @ vd345 @ vd348 ) )
| ~ ( greater @ ( vplus @ vd345 @ vd347 ) @ ( vplus @ vd345 @ vd348 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2280,zip_derived_cl1638]) ).
thf('holds(213, 351, 1)',axiom,
greater @ ( vplus @ vd347 @ vd345 ) @ ( vplus @ vd348 @ vd345 ) ).
thf(zip_derived_cl2,plain,
greater @ ( vplus @ vd347 @ vd345 ) @ ( vplus @ vd348 @ vd345 ),
inference(cnf,[status(esa)],[holds(213,351,1)]) ).
thf('holds(213, 351, 0)',axiom,
( ( vplus @ vd345 @ vd347 )
= ( vplus @ vd347 @ vd345 ) ) ).
thf(zip_derived_cl3,plain,
( ( vplus @ vd345 @ vd347 )
= ( vplus @ vd347 @ vd345 ) ),
inference(cnf,[status(esa)],[holds(213,351,0)]) ).
thf('holds(213, 351, 2)',axiom,
( ( vplus @ vd348 @ vd345 )
= ( vplus @ vd345 @ vd348 ) ) ).
thf(zip_derived_cl1,plain,
( ( vplus @ vd348 @ vd345 )
= ( vplus @ vd345 @ vd348 ) ),
inference(cnf,[status(esa)],[holds(213,351,2)]) ).
thf(zip_derived_cl43,plain,
greater @ ( vplus @ vd345 @ vd347 ) @ ( vplus @ vd345 @ vd348 ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl2393,plain,
( ( vplus @ vd347 @ vd344 )
= ( vplus @ vd345 @ vd348 ) ),
inference(demod,[status(thm)],[zip_derived_cl2387,zip_derived_cl43]) ).
thf(zip_derived_cl43_007,plain,
greater @ ( vplus @ vd345 @ vd347 ) @ ( vplus @ vd345 @ vd348 ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl32_008,plain,
! [X0: $i,X1: $i] :
( ~ ( greater @ X0 @ X1 )
| ~ ( greater @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl17]) ).
thf(zip_derived_cl45,plain,
~ ( greater @ ( vplus @ vd345 @ vd348 ) @ ( vplus @ vd345 @ vd347 ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl32]) ).
thf(zip_derived_cl2496,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl2393,zip_derived_cl45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM841+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pHPRpduGqw true
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 15:42:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 3.66/1.15 % Solved by fo/fo4.sh.
% 3.66/1.15 % done 487 iterations in 0.383s
% 3.66/1.15 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.66/1.15 % SZS output start Refutation
% See solution above
% 3.66/1.15
% 3.66/1.15
% 3.66/1.15 % Terminating...
% 4.49/1.25 % Runner terminated.
% 4.49/1.26 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------