%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN869-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:45:15 PM UTC 2026
% Result : Unsatisfiable 2.65s 6.23s
% Output : CNFRefutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 26
% Syntax : Number of formulae : 78 ( 10 unt; 0 def)
% Number of atoms : 609 ( 0 equ)
% Maximal formula atoms : 19 ( 7 avg)
% Number of connectives : 1056 ( 525 ~; 531 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 18 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 26 ( 25 usr; 2 prp; 0-15 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 746 ( 0 sgn 746 !; 0 ?; 516 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
ssNder1_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X0] :
( ssNder1_1r1(X0)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ssNder1_2r1r1(X0,X1)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X2,X0,X1] :
( ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
! [X2,X3,X0,X1] :
( ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f7,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssPv16_5r1r1r1r1r1(X0,X1,X2,X3,skc31) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f8,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f11,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f12,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ssPv14_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,skc26)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f14,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f15,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,skc24)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
fof(f17,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f18,negated_conjecture,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f19,negated_conjecture,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
fof(f20,negated_conjecture,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f21,negated_conjecture,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
fof(f23,negated_conjecture,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,skc23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
fof(f24,negated_conjecture,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ssPv16_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssPv19_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
fof(f25,negated_conjecture,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f26,negated_conjecture,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,skc20)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f29,negated_conjecture,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f31,negated_conjecture,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,skc19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f37,negated_conjecture,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssPv19_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssPv14_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f38,negated_conjecture,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssPv20_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f39,negated_conjecture,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ssPv20_1r1(X0)
| ssPv19_2r1r1(X0,X1)
| ssPv16_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f43,negated_conjecture,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ssPv19_2r1r1(X0,X1)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
tcf(c_105,negated_conjecture,
ssNder1_0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_106,negated_conjecture,
! [X0: $i] :
( ssNder1_1r1(X0)
| ~ ssNder1_0 ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_107,negated_conjecture,
! [X0: $i,X1: $i] :
( ssNder1_2r1r1(X0,X1)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_108,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_109,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_111,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssPv16_5r1r1r1r1r1(X0,X1,X2,X3,skc31) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_112,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_115,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ssPv14_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,skc26)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_118,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_119,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,skc24)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_121,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_122,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_123,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_124,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_125,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_127,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,skc23) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_128,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( ssPv16_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssPv19_2r1r1(X0,X1)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_129,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_130,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,skc20)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_133,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_135,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,skc19) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_140,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssPv19_2r1r1(X0,X1)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssPv14_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_141,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( ~ ssNder1_0
| ~ ssPv20_1r1(X0)
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_142,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
( ssPv20_1r1(X0)
| ssPv19_2r1r1(X0,X1)
| ssPv16_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_144,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
( ssPv19_2r1r1(X0,X1)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
| ~ ssNder1_0
| ~ ssNder1_1r1(X0)
| ~ ssNder1_2r1r1(X0,X1)
| ~ ssNder1_3r1r1r1(X0,X1,X2)
| ~ ssNder1_4r1r1r1r1(X0,X1,X2,X3)
| ~ ssNder1_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ~ ssNder1_6r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5)
| ~ ssNder1_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_209,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ ssPv16_5r1r1r1r1r1(X0,X1,X2,X3,skc31),
inference(global_subsumption_just,[status(thm)],[c_111,c_105,c_106,c_107,c_108,c_111]) ).
tcf(c_224,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ssPv14_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,skc26),
inference(global_subsumption_just,[status(thm)],[c_116,c_105,c_106,c_107,c_108,c_109,c_112,c_116]) ).
tcf(c_233,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,skc24),
inference(global_subsumption_just,[status(thm)],[c_119,c_105,c_106,c_107,c_108,c_109,c_112,c_115,c_119]) ).
tcf(c_257,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] : ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,skc23),
inference(global_subsumption_just,[status(thm)],[c_127,c_105,c_106,c_107,c_108,c_109,c_112,c_115,c_118,c_121,c_122,c_123,c_124,c_127]) ).
tcf(c_260,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( ssPv16_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssPv19_2r1r1(X0,X1)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(global_subsumption_just,[status(thm)],[c_128,c_105,c_106,c_107,c_108,c_109,c_112,c_115,c_118,c_121,c_122,c_123,c_128]) ).
tcf(c_266,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] : ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,skc20),
inference(global_subsumption_just,[status(thm)],[c_130,c_105,c_106,c_107,c_108,c_109,c_112,c_115,c_118,c_121,c_122,c_123,c_124,c_125,c_130]) ).
tcf(c_281,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] : ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,skc19),
inference(global_subsumption_just,[status(thm)],[c_135,c_105,c_106,c_107,c_108,c_109,c_112,c_115,c_118,c_121,c_122,c_123,c_124,c_125,c_129,c_135]) ).
tcf(c_296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( ~ ssPv19_2r1r1(X0,X1)
| ~ ssPv14_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10) ),
inference(global_subsumption_just,[status(thm)],[c_140,c_105,c_106,c_107,c_108,c_109,c_112,c_115,c_118,c_121,c_122,c_123,c_124,c_125,c_129,c_140]) ).
tcf(c_297,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( ~ ssPv19_2r1r1(X0,X1)
| ~ ssPv14_7r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6)
| ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13) ),
inference(renaming,[status(thm)],[c_296]) ).
tcf(c_299,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
( ssPv20_1r1(X0)
| ssPv19_2r1r1(X0,X1)
| ssPv16_5r1r1r1r1r1(X0,X1,X2,X3,X4)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14) ),
inference(global_subsumption_just,[status(thm)],[c_142,c_105,c_106,c_107,c_108,c_109,c_112,c_115,c_118,c_121,c_122,c_123,c_124,c_125,c_129,c_133,c_142]) ).
tcf(c_302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssPv20_1r1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_141,c_105,c_106,c_107,c_108,c_109,c_112,c_115,c_118,c_121,c_122,c_123,c_124,c_125,c_129,c_141]) ).
tcf(c_303,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( ~ ssPv20_1r1(X0)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13) ),
inference(renaming,[status(thm)],[c_302]) ).
tcf(c_308,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
( ssPv19_2r1r1(X0,X1)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14) ),
inference(global_subsumption_just,[status(thm)],[c_144,c_105,c_106,c_107,c_108,c_109,c_112,c_115,c_118,c_121,c_122,c_123,c_124,c_125,c_129,c_133,c_144]) ).
tcf(c_473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( ssPv19_2r1r1(X0,X1)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,skc23,X12,X13) ),
inference(resolution,[status(thm)],[c_257,c_308]) ).
tcf(c_487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ssPv20_1r1(X0)
| ssPv19_2r1r1(X0,X1)
| ssPv16_5r1r1r1r1r1(X0,X1,X2,X3,X4) ),
inference(resolution,[status(thm)],[c_281,c_299]) ).
tcf(c_498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ssPv19_2r1r1(X0,X1)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(resolution,[status(thm)],[c_281,c_473]) ).
tcf(c_511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
( ~ ssPv19_2r1r1(X0,X1)
| ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,skc26,X6,X7,X8,X9)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,skc26,X6,X7,X8,X9,X10,X11,X12) ),
inference(resolution,[status(thm)],[c_224,c_297]) ).
tcf(c_611,plain,
! [X0: $i,X1: $i] :
( ssPv20_1r1(X0)
| ssPv19_2r1r1(X0,X1) ),
inference(resolution,[status(thm)],[c_209,c_487]) ).
tcf(c_619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,skc31,X4,X5,X6,X7,X8,X9)
| ~ ssPv19_2r1r1(X0,X1)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,skc31,X4,X5,X6) ),
inference(resolution,[status(thm)],[c_209,c_260]) ).
tcf(c_649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ~ ssPv19_2r1r1(X0,X1)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,skc31,X4,skc26,X5)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,skc31,X4,skc26,X5,X6,X7,X8,X9,X10,X11) ),
inference(resolution,[status(thm)],[c_511,c_619]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( ssPv19_2r1r1(X0,X1)
| ~ ssPv20_1r1(X0)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13) ),
inference(resolution,[status(thm)],[c_498,c_303]) ).
tcf(c_691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( ssPv19_2r1r1(X0,X1)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(global_subsumption_just,[status(thm)],[c_689,c_611,c_689]) ).
tcf(c_692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( ssPv19_2r1r1(X0,X1)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13) ),
inference(renaming,[status(thm)],[c_691]) ).
tcf(c_707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ~ ssPv13_8r1r1r1r1r1r1r1r1(X0,X1,X2,X3,skc31,X4,skc26,X5)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,skc31,X4,skc26,X5,X6,X7,X8,X9,X10,X11) ),
inference(backward_subsumption_resolution,[status(thm)],[c_649,c_692]) ).
tcf(c_742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] : ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X0,X1,X2,X3,skc31,X4,skc26,skc24,X5,X6,X7,X8,X9,X10),
inference(resolution,[status(thm)],[c_233,c_707]) ).
tcf(c_804,plain,
$false,
inference(resolution,[status(thm)],[c_266,c_742]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN869-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.37 % Computer : n002.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Fri Sep 25 02:28:57 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.41 Running EPR theorem proving
% 0.14/5.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.42
% 0.14/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.42
% 0.14/5.42 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 2.65/6.23 % SZS status Started for theBenchmark.p
% 2.65/6.23 % SZS status Unsatisfiable for theBenchmark.p
% 2.65/6.23
% 2.65/6.23 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.65/6.23
% 2.65/6.23 % ------ iProver source info
% 2.65/6.23
% 2.65/6.23 % git: date: 2026-07-19 20:42:38 +0200
% 2.65/6.23 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.65/6.23 % git: non_committed_changes: false
% 2.65/6.23
% 2.65/6.23 % ------ Parsing...% successful
% 2.65/6.23
% 2.65/6.23
% 2.65/6.23 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.65/6.23 %
% 2.65/6.23
% 2.65/6.23 % ------ Preprocessing... sf_s rm: 23 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s%
% 2.65/6.23
% 2.65/6.23 % SZS status Unsatisfiable for theBenchmark.p
% 2.65/6.23
% 2.65/6.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.65/6.23
% 2.65/6.23
%------------------------------------------------------------------------------