TSTP Solution File: GRA032^2 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GRA032^2 : TPTP v8.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 : Mon May 20 20:41:03 EDT 2024
% Result : Theorem 0.20s 0.55s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 22
% Syntax : Number of formulae : 42 ( 5 unt; 20 typ; 0 def)
% Number of atoms : 310 ( 7 equ; 0 cnn)
% Maximal formula atoms : 135 ( 14 avg)
% Number of connectives : 1128 ( 181 ~; 143 |; 162 &; 632 @)
% ( 1 <=>; 8 =>; 0 <=; 1 <~>)
% Maximal formula depth : 51 ( 14 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 374 ( 374 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 20 usr; 2 con; 0-2 aty)
% Number of variables : 61 ( 0 ^ 59 !; 2 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
epred1_1: ( ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ) > $o ).
thf(decl_23,type,
epred2_1: ( ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ) > ( $o > $o ) > $o ).
thf(decl_24,type,
epred3_1: ( ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ) > ( $o > $o ) > $o ).
thf(decl_25,type,
epred4_1: ( ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ) > ( $o > $o ) > $o ).
thf(decl_26,type,
epred5_1: ( ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ) > ( $o > $o ) > $o ).
thf(decl_27,type,
epred6_1: ( ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ) > ( $o > $o ) > $o ).
thf(decl_28,type,
epred7_1: ( ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ).
thf(decl_29,type,
epred8_1: ( ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ).
thf(decl_30,type,
epred9_1: ( ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ) > ( $o > $o ) > $o ).
thf(decl_31,type,
epred10_1: ( ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ) > ( $o > $o ) > $o ).
thf(decl_32,type,
epred11_1: ( ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ) > ( $o > $o ) > $o ).
thf(decl_33,type,
epred12_1: ( ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ) > ( $o > $o ) > $o ).
thf(decl_34,type,
epred13_1: ( ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ) > ( $o > $o ) > $o ).
thf(decl_35,type,
epred14_1: ( ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ) > ( $o > $o ) > $o ).
thf(decl_36,type,
epred15_1: ( ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ).
thf(decl_37,type,
epred16_1: ( ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ).
thf(decl_38,type,
epred17_1: ( ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ).
thf(decl_39,type,
epred18_1: ( ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ).
thf(decl_40,type,
epred19_1: ( ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o ).
thf(decl_95,type,
esk54_1: $o > $o ).
thf(ramsey_l_3_6_16a,conjecture,
? [X1: ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o] :
( ! [X2: ( $o > $o ) > $o,X3: ( $o > $o ) > $o] :
( ( X1 @ X2 @ X3 )
=> ( X1 @ X3 @ X2 ) )
& ! [X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o,X6: ( $o > $o ) > $o,X7: ( ( $o > $o ) > $o ) > $o,X8: ( ( $o > $o ) > $o ) > $o] :
( ( ( X7 @ X4 )
& ~ ( X7 @ X5 )
& ~ ( X7 @ X6 )
& ~ ( X8 @ X4 )
& ( X8 @ X5 )
& ~ ( X8 @ X6 ) )
=> ( ~ ( X1 @ X5 @ X4 )
| ~ ( X1 @ X6 @ X4 )
| ~ ( X1 @ X6 @ X5 ) ) )
& ! [X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o,X6: ( $o > $o ) > $o,X9: ( $o > $o ) > $o,X10: ( $o > $o ) > $o,X11: ( $o > $o ) > $o,X7: ( ( $o > $o ) > $o ) > $o,X8: ( ( $o > $o ) > $o ) > $o,X12: ( ( $o > $o ) > $o ) > $o,X13: ( ( $o > $o ) > $o ) > $o,X14: ( ( $o > $o ) > $o ) > $o] :
( ( ( X7 @ X4 )
& ~ ( X7 @ X5 )
& ~ ( X7 @ X6 )
& ~ ( X7 @ X9 )
& ~ ( X7 @ X10 )
& ~ ( X7 @ X11 )
& ~ ( X8 @ X4 )
& ( X8 @ X5 )
& ~ ( X8 @ X6 )
& ~ ( X8 @ X9 )
& ~ ( X8 @ X10 )
& ~ ( X8 @ X11 )
& ~ ( X12 @ X4 )
& ~ ( X12 @ X5 )
& ( X12 @ X6 )
& ~ ( X12 @ X9 )
& ~ ( X12 @ X10 )
& ~ ( X12 @ X11 )
& ~ ( X13 @ X4 )
& ~ ( X13 @ X5 )
& ~ ( X13 @ X6 )
& ( X13 @ X9 )
& ~ ( X13 @ X10 )
& ~ ( X13 @ X11 )
& ~ ( X14 @ X4 )
& ~ ( X14 @ X5 )
& ~ ( X14 @ X6 )
& ~ ( X14 @ X9 )
& ( X14 @ X10 )
& ~ ( X14 @ X11 ) )
=> ( ( X1 @ X5 @ X4 )
| ( X1 @ X6 @ X4 )
| ( X1 @ X6 @ X5 )
| ( X1 @ X9 @ X4 )
| ( X1 @ X9 @ X5 )
| ( X1 @ X9 @ X6 )
| ( X1 @ X10 @ X4 )
| ( X1 @ X10 @ X5 )
| ( X1 @ X10 @ X6 )
| ( X1 @ X10 @ X9 )
| ( X1 @ X11 @ X4 )
| ( X1 @ X11 @ X5 )
| ( X1 @ X11 @ X6 )
| ( X1 @ X11 @ X9 )
| ( X1 @ X11 @ X10 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ramsey_l_3_6_16a) ).
thf(c_0_1,plain,
! [X1: ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o] :
( ( epred1_1 @ X1 )
<=> ! [X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o,X6: ( $o > $o ) > $o,X9: ( $o > $o ) > $o,X10: ( $o > $o ) > $o,X11: ( $o > $o ) > $o,X7: ( ( $o > $o ) > $o ) > $o,X8: ( ( $o > $o ) > $o ) > $o,X12: ( ( $o > $o ) > $o ) > $o,X13: ( ( $o > $o ) > $o ) > $o,X14: ( ( $o > $o ) > $o ) > $o] :
( ( ( X7 @ X4 )
& ~ ( X7 @ X5 )
& ~ ( X7 @ X6 )
& ~ ( X7 @ X9 )
& ~ ( X7 @ X10 )
& ~ ( X7 @ X11 )
& ~ ( X8 @ X4 )
& ( X8 @ X5 )
& ~ ( X8 @ X6 )
& ~ ( X8 @ X9 )
& ~ ( X8 @ X10 )
& ~ ( X8 @ X11 )
& ~ ( X12 @ X4 )
& ~ ( X12 @ X5 )
& ( X12 @ X6 )
& ~ ( X12 @ X9 )
& ~ ( X12 @ X10 )
& ~ ( X12 @ X11 )
& ~ ( X13 @ X4 )
& ~ ( X13 @ X5 )
& ~ ( X13 @ X6 )
& ( X13 @ X9 )
& ~ ( X13 @ X10 )
& ~ ( X13 @ X11 )
& ~ ( X14 @ X4 )
& ~ ( X14 @ X5 )
& ~ ( X14 @ X6 )
& ~ ( X14 @ X9 )
& ( X14 @ X10 )
& ~ ( X14 @ X11 ) )
=> ( ( X1 @ X5 @ X4 )
| ( X1 @ X6 @ X4 )
| ( X1 @ X6 @ X5 )
| ( X1 @ X9 @ X4 )
| ( X1 @ X9 @ X5 )
| ( X1 @ X9 @ X6 )
| ( X1 @ X10 @ X4 )
| ( X1 @ X10 @ X5 )
| ( X1 @ X10 @ X6 )
| ( X1 @ X10 @ X9 )
| ( X1 @ X11 @ X4 )
| ( X1 @ X11 @ X5 )
| ( X1 @ X11 @ X6 )
| ( X1 @ X11 @ X9 )
| ( X1 @ X11 @ X10 ) ) ) ),
introduced(definition) ).
thf(c_0_2,plain,
! [X1: ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o] :
( ! [X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o,X6: ( $o > $o ) > $o,X9: ( $o > $o ) > $o,X10: ( $o > $o ) > $o,X11: ( $o > $o ) > $o,X7: ( ( $o > $o ) > $o ) > $o,X8: ( ( $o > $o ) > $o ) > $o,X12: ( ( $o > $o ) > $o ) > $o,X13: ( ( $o > $o ) > $o ) > $o,X14: ( ( $o > $o ) > $o ) > $o] :
( ( ( X7 @ X4 )
& ~ ( X7 @ X5 )
& ~ ( X7 @ X6 )
& ~ ( X7 @ X9 )
& ~ ( X7 @ X10 )
& ~ ( X7 @ X11 )
& ~ ( X8 @ X4 )
& ( X8 @ X5 )
& ~ ( X8 @ X6 )
& ~ ( X8 @ X9 )
& ~ ( X8 @ X10 )
& ~ ( X8 @ X11 )
& ~ ( X12 @ X4 )
& ~ ( X12 @ X5 )
& ( X12 @ X6 )
& ~ ( X12 @ X9 )
& ~ ( X12 @ X10 )
& ~ ( X12 @ X11 )
& ~ ( X13 @ X4 )
& ~ ( X13 @ X5 )
& ~ ( X13 @ X6 )
& ( X13 @ X9 )
& ~ ( X13 @ X10 )
& ~ ( X13 @ X11 )
& ~ ( X14 @ X4 )
& ~ ( X14 @ X5 )
& ~ ( X14 @ X6 )
& ~ ( X14 @ X9 )
& ( X14 @ X10 )
& ~ ( X14 @ X11 ) )
=> ( ( X1 @ X5 @ X4 )
| ( X1 @ X6 @ X4 )
| ( X1 @ X6 @ X5 )
| ( X1 @ X9 @ X4 )
| ( X1 @ X9 @ X5 )
| ( X1 @ X9 @ X6 )
| ( X1 @ X10 @ X4 )
| ( X1 @ X10 @ X5 )
| ( X1 @ X10 @ X6 )
| ( X1 @ X10 @ X9 )
| ( X1 @ X11 @ X4 )
| ( X1 @ X11 @ X5 )
| ( X1 @ X11 @ X6 )
| ( X1 @ X11 @ X9 )
| ( X1 @ X11 @ X10 ) ) )
=> ( epred1_1 @ X1 ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
thf(c_0_3,plain,
! [X42: ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o] :
( ( ( epred15_1 @ X42 @ ( epred9_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred15_1 @ X42 @ ( epred10_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred15_1 @ X42 @ ( epred11_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred15_1 @ X42 @ ( epred12_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred15_1 @ X42 @ ( epred13_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred15_1 @ X42 @ ( epred14_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred16_1 @ X42 @ ( epred9_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ( epred16_1 @ X42 @ ( epred10_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred16_1 @ X42 @ ( epred11_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred16_1 @ X42 @ ( epred12_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred16_1 @ X42 @ ( epred13_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred16_1 @ X42 @ ( epred14_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred17_1 @ X42 @ ( epred9_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred17_1 @ X42 @ ( epred10_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ( epred17_1 @ X42 @ ( epred11_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred17_1 @ X42 @ ( epred12_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred17_1 @ X42 @ ( epred13_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred17_1 @ X42 @ ( epred14_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred18_1 @ X42 @ ( epred9_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred18_1 @ X42 @ ( epred10_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred18_1 @ X42 @ ( epred11_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ( epred18_1 @ X42 @ ( epred12_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred18_1 @ X42 @ ( epred13_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred18_1 @ X42 @ ( epred14_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred19_1 @ X42 @ ( epred9_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred19_1 @ X42 @ ( epred10_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred19_1 @ X42 @ ( epred11_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred19_1 @ X42 @ ( epred12_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ( epred19_1 @ X42 @ ( epred13_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( epred19_1 @ X42 @ ( epred14_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( X42 @ ( epred10_1 @ X42 ) @ ( epred9_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( X42 @ ( epred11_1 @ X42 ) @ ( epred9_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( X42 @ ( epred11_1 @ X42 ) @ ( epred10_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( X42 @ ( epred12_1 @ X42 ) @ ( epred9_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( X42 @ ( epred12_1 @ X42 ) @ ( epred10_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( X42 @ ( epred12_1 @ X42 ) @ ( epred11_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( X42 @ ( epred13_1 @ X42 ) @ ( epred9_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( X42 @ ( epred13_1 @ X42 ) @ ( epred10_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( X42 @ ( epred13_1 @ X42 ) @ ( epred11_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( X42 @ ( epred13_1 @ X42 ) @ ( epred12_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( X42 @ ( epred14_1 @ X42 ) @ ( epred9_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( X42 @ ( epred14_1 @ X42 ) @ ( epred10_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( X42 @ ( epred14_1 @ X42 ) @ ( epred11_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( X42 @ ( epred14_1 @ X42 ) @ ( epred12_1 @ X42 ) )
| ( epred1_1 @ X42 ) )
& ( ~ ( X42 @ ( epred14_1 @ X42 ) @ ( epred13_1 @ X42 ) )
| ( epred1_1 @ X42 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
thf(c_0_4,negated_conjecture,
~ ? [X1: ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o] :
( ! [X2: ( $o > $o ) > $o,X3: ( $o > $o ) > $o] :
( ( X1 @ X2 @ X3 )
=> ( X1 @ X3 @ X2 ) )
& ! [X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o,X6: ( $o > $o ) > $o,X7: ( ( $o > $o ) > $o ) > $o,X8: ( ( $o > $o ) > $o ) > $o] :
( ( ( X7 @ X4 )
& ~ ( X7 @ X5 )
& ~ ( X7 @ X6 )
& ~ ( X8 @ X4 )
& ( X8 @ X5 )
& ~ ( X8 @ X6 ) )
=> ( ~ ( X1 @ X5 @ X4 )
| ~ ( X1 @ X6 @ X4 )
| ~ ( X1 @ X6 @ X5 ) ) )
& ( epred1_1 @ X1 ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[ramsey_l_3_6_16a]),c_0_1]) ).
thf(c_0_5,plain,
! [X1: ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o] :
( ( epred1_1 @ X1 )
| ~ ( epred15_1 @ X1 @ ( epred10_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,plain,
! [X1: ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o] :
( ( epred15_1 @ X1 @ ( epred9_1 @ X1 ) )
| ( epred1_1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,plain,
! [X1: ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o] :
( ( epred1_1 @ X1 )
| ~ ( X1 @ ( epred10_1 @ X1 ) @ ( epred9_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_8,negated_conjecture,
! [X34: ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o] :
( ( ( epred7_1 @ X34 @ ( epred4_1 @ X34 ) )
| ( X34 @ ( epred2_1 @ X34 ) @ ( epred3_1 @ X34 ) )
| ~ ( epred1_1 @ X34 ) )
& ( ~ ( epred7_1 @ X34 @ ( epred5_1 @ X34 ) )
| ( X34 @ ( epred2_1 @ X34 ) @ ( epred3_1 @ X34 ) )
| ~ ( epred1_1 @ X34 ) )
& ( ~ ( epred7_1 @ X34 @ ( epred6_1 @ X34 ) )
| ( X34 @ ( epred2_1 @ X34 ) @ ( epred3_1 @ X34 ) )
| ~ ( epred1_1 @ X34 ) )
& ( ~ ( epred8_1 @ X34 @ ( epred4_1 @ X34 ) )
| ( X34 @ ( epred2_1 @ X34 ) @ ( epred3_1 @ X34 ) )
| ~ ( epred1_1 @ X34 ) )
& ( ( epred8_1 @ X34 @ ( epred5_1 @ X34 ) )
| ( X34 @ ( epred2_1 @ X34 ) @ ( epred3_1 @ X34 ) )
| ~ ( epred1_1 @ X34 ) )
& ( ~ ( epred8_1 @ X34 @ ( epred6_1 @ X34 ) )
| ( X34 @ ( epred2_1 @ X34 ) @ ( epred3_1 @ X34 ) )
| ~ ( epred1_1 @ X34 ) )
& ( ( X34 @ ( epred5_1 @ X34 ) @ ( epred4_1 @ X34 ) )
| ( X34 @ ( epred2_1 @ X34 ) @ ( epred3_1 @ X34 ) )
| ~ ( epred1_1 @ X34 ) )
& ( ( X34 @ ( epred6_1 @ X34 ) @ ( epred4_1 @ X34 ) )
| ( X34 @ ( epred2_1 @ X34 ) @ ( epred3_1 @ X34 ) )
| ~ ( epred1_1 @ X34 ) )
& ( ( X34 @ ( epred6_1 @ X34 ) @ ( epred5_1 @ X34 ) )
| ( X34 @ ( epred2_1 @ X34 ) @ ( epred3_1 @ X34 ) )
| ~ ( epred1_1 @ X34 ) )
& ( ( epred7_1 @ X34 @ ( epred4_1 @ X34 ) )
| ~ ( X34 @ ( epred3_1 @ X34 ) @ ( epred2_1 @ X34 ) )
| ~ ( epred1_1 @ X34 ) )
& ( ~ ( epred7_1 @ X34 @ ( epred5_1 @ X34 ) )
| ~ ( X34 @ ( epred3_1 @ X34 ) @ ( epred2_1 @ X34 ) )
| ~ ( epred1_1 @ X34 ) )
& ( ~ ( epred7_1 @ X34 @ ( epred6_1 @ X34 ) )
| ~ ( X34 @ ( epred3_1 @ X34 ) @ ( epred2_1 @ X34 ) )
| ~ ( epred1_1 @ X34 ) )
& ( ~ ( epred8_1 @ X34 @ ( epred4_1 @ X34 ) )
| ~ ( X34 @ ( epred3_1 @ X34 ) @ ( epred2_1 @ X34 ) )
| ~ ( epred1_1 @ X34 ) )
& ( ( epred8_1 @ X34 @ ( epred5_1 @ X34 ) )
| ~ ( X34 @ ( epred3_1 @ X34 ) @ ( epred2_1 @ X34 ) )
| ~ ( epred1_1 @ X34 ) )
& ( ~ ( epred8_1 @ X34 @ ( epred6_1 @ X34 ) )
| ~ ( X34 @ ( epred3_1 @ X34 ) @ ( epred2_1 @ X34 ) )
| ~ ( epred1_1 @ X34 ) )
& ( ( X34 @ ( epred5_1 @ X34 ) @ ( epred4_1 @ X34 ) )
| ~ ( X34 @ ( epred3_1 @ X34 ) @ ( epred2_1 @ X34 ) )
| ~ ( epred1_1 @ X34 ) )
& ( ( X34 @ ( epred6_1 @ X34 ) @ ( epred4_1 @ X34 ) )
| ~ ( X34 @ ( epred3_1 @ X34 ) @ ( epred2_1 @ X34 ) )
| ~ ( epred1_1 @ X34 ) )
& ( ( X34 @ ( epred6_1 @ X34 ) @ ( epred5_1 @ X34 ) )
| ~ ( X34 @ ( epred3_1 @ X34 ) @ ( epred2_1 @ X34 ) )
| ~ ( epred1_1 @ X34 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])]) ).
thf(c_0_9,plain,
! [X1: ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o] :
( ( epred1_1 @ X1 )
| ( ( epred10_1 @ X1 )
!= ( epred9_1 @ X1 ) ) ),
inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_5,c_0_6])]) ).
thf(c_0_10,plain,
( ( ( epred10_1 @ $neq )
= ( epred9_1 @ $neq ) )
| ( epred1_1 @ $neq ) ),
inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_7]) ).
thf(c_0_11,negated_conjecture,
! [X1: ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o] :
( ~ ( epred8_1 @ X1 @ ( epred4_1 @ X1 ) )
| ~ ( X1 @ ( epred3_1 @ X1 ) @ ( epred2_1 @ X1 ) )
| ~ ( epred1_1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_12,plain,
epred1_1 @ $neq,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_13,negated_conjecture,
! [X1: ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o] :
( ( X1 @ ( epred2_1 @ X1 ) @ ( epred3_1 @ X1 ) )
| ~ ( epred7_1 @ X1 @ ( epred5_1 @ X1 ) )
| ~ ( epred1_1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_14,negated_conjecture,
( ( ( epred3_1 @ $neq )
= ( epred2_1 @ $neq ) )
| ~ ( epred8_1 @ $neq @ ( epred4_1 @ $neq ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_11]),c_0_12])]) ).
thf(c_0_15,negated_conjecture,
! [X1: ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o] :
( ( epred8_1 @ X1 @ ( epred5_1 @ X1 ) )
| ~ ( X1 @ ( epred3_1 @ X1 ) @ ( epred2_1 @ X1 ) )
| ~ ( epred1_1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_16,negated_conjecture,
( ( ( epred3_1 @ $neq )
!= ( epred2_1 @ $neq ) )
| ~ ( epred7_1 @ $neq @ ( epred5_1 @ $neq ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_13]),c_0_12])]) ).
thf(c_0_17,negated_conjecture,
! [X1: ( ( $o > $o ) > $o ) > ( ( $o > $o ) > $o ) > $o] :
( ( epred7_1 @ X1 @ ( epred4_1 @ X1 ) )
| ( X1 @ ( epred2_1 @ X1 ) @ ( epred3_1 @ X1 ) )
| ~ ( epred1_1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_18,plain,
( ( ( epred3_1 @ $neq )
= ( epred2_1 @ $neq ) )
| ( ( epred5_1 @ $neq )
!= ( epred4_1 @ $neq ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_14,c_0_15])])])]),c_0_12])]) ).
thf(c_0_19,plain,
( ( epred5_1 @ $neq )
!= ( epred4_1 @ $neq ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_16,c_0_17])])])]),c_0_12])]),c_0_18]) ).
thf(c_0_20,plain,
( ( epred5_1 @ $neq @ esk54_1 )
<~> ( epred4_1 @ $neq @ esk54_1 ) ),
inference(neg_ext,[status(thm)],[c_0_19]) ).
thf(c_0_21,plain,
$false,
inference(dynamic_cnf,[status(thm)],[c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRA032^2 : TPTP v8.2.0. Released v3.6.0.
% 0.10/0.13 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat May 18 12:46:53 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running higher-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.55 # Version: 3.1.0-ho
% 0.20/0.55 # Preprocessing class: HSMSSMSSSSSNHHA.
% 0.20/0.55 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55 # Starting full_lambda_6 with 900s (3) cores
% 0.20/0.55 # Starting post_as_ho1 with 300s (1) cores
% 0.20/0.55 # Starting lpo6_lambda_fix with 300s (1) cores
% 0.20/0.55 # Starting ho_unfolding_1 with 300s (1) cores
% 0.20/0.55 # Starting new_ho_10_unif with 300s (1) cores
% 0.20/0.55 # Starting ho_unfolding_2 with 300s (1) cores
% 0.20/0.55 # full_lambda_6 with pid 1876 completed with status 0
% 0.20/0.55 # Result found by full_lambda_6
% 0.20/0.55 # Preprocessing class: HSMSSMSSSSSNHHA.
% 0.20/0.55 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55 # Starting full_lambda_6 with 900s (3) cores
% 0.20/0.55 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.20/0.55 # Search class: HGHNF-FFMF00-SHHFFMBN
% 0.20/0.55 # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 0.20/0.55 # Starting new_ho_10 with 163s (1) cores
% 0.20/0.55 # Starting full_lambda_6 with 91s (1) cores
% 0.20/0.55 # Starting ho_unfolding_3 with 163s (1) cores
% 0.20/0.55 # new_ho_10 with pid 1883 completed with status 9
% 0.20/0.55 # Starting new_ho_10_cnf2 with 163s (1) cores
% 0.20/0.55 # full_lambda_6 with pid 1885 completed with status 9
% 0.20/0.55 # Starting pre_casc_2 with 163s (1) cores
% 0.20/0.55 # ho_unfolding_3 with pid 1887 completed with status 9
% 0.20/0.55 # Starting sh3 with 157s (1) cores
% 0.20/0.55 # new_ho_10_cnf2 with pid 1895 completed with status 9
% 0.20/0.55 # pre_casc_2 with pid 1897 completed with status 9
% 0.20/0.55 # sh3 with pid 1898 completed with status 9
% 0.20/0.55 # Schedule exhausted
% 0.20/0.55
% 0.20/0.55 # -------------------------------------------------
% 0.20/0.55 # User time : 0.069 s
% 0.20/0.55 # System time : 0.013 s
% 0.20/0.55 # Total time : 0.081 s
% 0.20/0.55 # Maximum resident set size: 2044 pages
% 0.20/0.55 # executing default schedule for 899.919 seconds.
% 0.20/0.55 # Scheduled 7 strats onto 3 cores with 899 seconds (887 total)
% 0.20/0.55 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 129s (1) cores
% 0.20/0.55 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 129s (1) cores
% 0.20/0.55 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 129s (1) cores
% 0.20/0.55 # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 1905 completed with status 9
% 0.20/0.55 # Starting lpo1_def_fix with 129s (1) cores
% 0.20/0.55 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 1903 completed with status 9
% 0.20/0.55 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 129s (1) cores
% 0.20/0.55 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1904 completed with status 9
% 0.20/0.55 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 129s (1) cores
% 0.20/0.55 # H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with pid 1909 completed with status 9
% 0.20/0.55 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with 113s (1) cores
% 0.20/0.55 # G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 1908 completed with status 9
% 0.20/0.55 # G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 1913 completed with status 9
% 0.20/0.55 # lpo1_def_fix with pid 1906 completed with status 0
% 0.20/0.55 # Result found by lpo1_def_fix
% 0.20/0.55 # Preprocessing class: HSMSSMSSSSSNHHA.
% 0.20/0.55 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55 # Starting full_lambda_6 with 900s (3) cores
% 0.20/0.55 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.20/0.55 # Search class: HGHNF-FFMF00-SHHFFMBN
% 0.20/0.55 # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 0.20/0.55 # Starting new_ho_10 with 163s (1) cores
% 0.20/0.55 # Starting full_lambda_6 with 91s (1) cores
% 0.20/0.55 # Starting ho_unfolding_3 with 163s (1) cores
% 0.20/0.55 # new_ho_10 with pid 1883 completed with status 9
% 0.20/0.55 # Starting new_ho_10_cnf2 with 163s (1) cores
% 0.20/0.55 # full_lambda_6 with pid 1885 completed with status 9
% 0.20/0.55 # Starting pre_casc_2 with 163s (1) cores
% 0.20/0.55 # ho_unfolding_3 with pid 1887 completed with status 9
% 0.20/0.55 # Starting sh3 with 157s (1) cores
% 0.20/0.55 # new_ho_10_cnf2 with pid 1895 completed with status 9
% 0.20/0.55 # pre_casc_2 with pid 1897 completed with status 9
% 0.20/0.55 # sh3 with pid 1898 completed with status 9
% 0.20/0.55 # Schedule exhausted
% 0.20/0.55
% 0.20/0.55 # -------------------------------------------------
% 0.20/0.55 # User time : 0.069 s
% 0.20/0.55 # System time : 0.013 s
% 0.20/0.55 # Total time : 0.081 s
% 0.20/0.55 # Maximum resident set size: 2044 pages
% 0.20/0.55 # executing default schedule for 899.919 seconds.
% 0.20/0.55 # Scheduled 7 strats onto 3 cores with 899 seconds (887 total)
% 0.20/0.55 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 129s (1) cores
% 0.20/0.55 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 129s (1) cores
% 0.20/0.55 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 129s (1) cores
% 0.20/0.55 # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 1905 completed with status 9
% 0.20/0.55 # Starting lpo1_def_fix with 129s (1) cores
% 0.20/0.55 # Preprocessing time : 0.002 s
% 0.20/0.55 # Presaturation interreduction done
% 0.20/0.55
% 0.20/0.55 # Proof found!
% 0.20/0.55 # SZS status Theorem
% 0.20/0.55 # SZS output start CNFRefutation
% See solution above
% 0.20/0.55 # Parsed axioms : 1
% 0.20/0.55 # Removed by relevancy pruning/SinE : 0
% 0.20/0.55 # Initial clauses : 63
% 0.20/0.55 # Removed in clause preprocessing : 0
% 0.20/0.55 # Initial clauses in saturation : 63
% 0.20/0.55 # Processed clauses : 225
% 0.20/0.55 # ...of these trivial : 8
% 0.20/0.55 # ...subsumed : 39
% 0.20/0.55 # ...remaining for further processing : 178
% 0.20/0.55 # Other redundant clauses eliminated : 59
% 0.20/0.55 # Clauses deleted for lack of memory : 0
% 0.20/0.55 # Backward-subsumed : 1
% 0.20/0.55 # Backward-rewritten : 1
% 0.20/0.55 # Generated clauses : 470
% 0.20/0.55 # ...of the previous two non-redundant : 361
% 0.20/0.55 # ...aggressively subsumed : 0
% 0.20/0.55 # Contextual simplify-reflections : 1
% 0.20/0.55 # Paramodulations : 12
% 0.20/0.55 # Factorizations : 0
% 0.20/0.55 # NegExts : 54
% 0.20/0.55 # Equation resolutions : 59
% 0.20/0.55 # Disequality decompositions : 0
% 0.20/0.55 # Total rewrite steps : 48
% 0.20/0.55 # ...of those cached : 44
% 0.20/0.55 # Propositional unsat checks : 0
% 0.20/0.55 # Propositional check models : 0
% 0.20/0.55 # Propositional check unsatisfiable : 0
% 0.20/0.55 # Propositional clauses : 0
% 0.20/0.55 # Propositional clauses after purity: 0
% 0.20/0.55 # Propositional unsat core size : 0
% 0.20/0.55 # Propositional preprocessing time : 0.000
% 0.20/0.55 # Propositional encoding time : 0.000
% 0.20/0.55 # Propositional solver time : 0.000
% 0.20/0.55 # Success case prop preproc time : 0.000
% 0.20/0.55 # Success case prop encoding time : 0.000
% 0.20/0.55 # Success case prop solver time : 0.000
% 0.20/0.55 # Current number of processed clauses : 108
% 0.20/0.55 # Positive orientable unit clauses : 5
% 0.20/0.55 # Positive unorientable unit clauses: 0
% 0.20/0.55 # Negative unit clauses : 2
% 0.20/0.55 # Non-unit-clauses : 101
% 0.20/0.55 # Current number of unprocessed clauses: 243
% 0.20/0.55 # ...number of literals in the above : 597
% 0.20/0.55 # Current number of archived formulas : 0
% 0.20/0.55 # Current number of archived clauses : 70
% 0.20/0.55 # Clause-clause subsumption calls (NU) : 1172
% 0.20/0.55 # Rec. Clause-clause subsumption calls : 939
% 0.20/0.55 # Non-unit clause-clause subsumptions : 23
% 0.20/0.55 # Unit Clause-clause subsumption calls : 173
% 0.20/0.55 # Rewrite failures with RHS unbound : 0
% 0.20/0.55 # BW rewrite match attempts : 1
% 0.20/0.55 # BW rewrite match successes : 1
% 0.20/0.55 # Condensation attempts : 0
% 0.20/0.55 # Condensation successes : 0
% 0.20/0.55 # Termbank termtop insertions : 30877
% 0.20/0.55 # Search garbage collected termcells : 1376
% 0.20/0.55
% 0.20/0.55 # -------------------------------------------------
% 0.20/0.55 # User time : 0.125 s
% 0.20/0.55 # System time : 0.022 s
% 0.20/0.55 # Total time : 0.147 s
% 0.20/0.55 # Maximum resident set size: 2100 pages
% 0.20/0.55
% 0.20/0.55 # -------------------------------------------------
% 0.20/0.55 # User time : 0.127 s
% 0.20/0.55 # System time : 0.023 s
% 0.20/0.55 # Total time : 0.150 s
% 0.20/0.55 # Maximum resident set size: 1764 pages
% 0.20/0.55 % E---3.1 exiting
% 0.20/0.55 % E exiting
%------------------------------------------------------------------------------