%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL686+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n012.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 06:59:11 EDT 2023
% Result : Theorem 0.22s 0.60s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 39
% Syntax : Number of formulae : 57 ( 6 unt; 36 typ; 0 def)
% Number of atoms : 667 ( 0 equ)
% Maximal formula atoms : 214 ( 31 avg)
% Number of connectives : 1152 ( 506 ~; 416 |; 228 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 85 ( 14 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 32 >; 1 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 2 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 4 con; 0-1 aty)
% Number of variables : 125 ( 0 sgn; 111 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
r1: ( $i * $i ) > $o ).
tff(decl_23,type,
p15: $i > $o ).
tff(decl_24,type,
p1: $i > $o ).
tff(decl_25,type,
p14: $i > $o ).
tff(decl_26,type,
p13: $i > $o ).
tff(decl_27,type,
p12: $i > $o ).
tff(decl_28,type,
p11: $i > $o ).
tff(decl_29,type,
p10: $i > $o ).
tff(decl_30,type,
p9: $i > $o ).
tff(decl_31,type,
p8: $i > $o ).
tff(decl_32,type,
p7: $i > $o ).
tff(decl_33,type,
p6: $i > $o ).
tff(decl_34,type,
p5: $i > $o ).
tff(decl_35,type,
p4: $i > $o ).
tff(decl_36,type,
p3: $i > $o ).
tff(decl_37,type,
p2: $i > $o ).
tff(decl_38,type,
epred1_1: $i > $o ).
tff(decl_39,type,
esk1_0: $i ).
tff(decl_40,type,
esk2_0: $i ).
tff(decl_41,type,
esk3_0: $i ).
tff(decl_42,type,
esk4_0: $i ).
tff(decl_43,type,
esk5_1: $i > $i ).
tff(decl_44,type,
esk6_1: $i > $i ).
tff(decl_45,type,
esk7_1: $i > $i ).
tff(decl_46,type,
esk8_1: $i > $i ).
tff(decl_47,type,
esk9_1: $i > $i ).
tff(decl_48,type,
esk10_1: $i > $i ).
tff(decl_49,type,
esk11_1: $i > $i ).
tff(decl_50,type,
esk12_1: $i > $i ).
tff(decl_51,type,
esk13_1: $i > $i ).
tff(decl_52,type,
esk14_1: $i > $i ).
tff(decl_53,type,
esk15_1: $i > $i ).
tff(decl_54,type,
esk16_1: $i > $i ).
tff(decl_55,type,
esk17_1: $i > $i ).
tff(decl_56,type,
esk18_1: $i > $i ).
tff(decl_57,type,
esk19_1: $i > $i ).
fof(main,conjecture,
~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ p15(X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ $true )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p14(X2)
& ~ p13(X2) )
| ( ~ p14(X2)
& p13(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p13(X1)
& ~ p12(X1) )
| ( ~ p13(X1)
& p12(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p12(X2)
& ~ p11(X2) )
| ( ~ p12(X2)
& p11(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p11(X1)
& ~ p10(X1) )
| ( ~ p11(X1)
& p10(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p10(X2)
& ~ p9(X2) )
| ( ~ p10(X2)
& p9(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p9(X1)
& ~ p8(X1) )
| ( ~ p9(X1)
& p8(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p8(X2)
& ~ p7(X2) )
| ( ~ p8(X2)
& p7(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p7(X1)
& ~ p6(X1) )
| ( ~ p7(X1)
& p6(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p6(X2)
& ~ p5(X2) )
| ( ~ p6(X2)
& p5(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p5(X1)
& ~ p4(X1) )
| ( ~ p5(X1)
& p4(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p4(X2)
& ~ p3(X2) )
| ( ~ p4(X2)
& p3(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p3(X1)
& ~ p2(X1) )
| ( ~ p3(X1)
& p2(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p2(X2)
& ~ p1(X2) )
| ( ~ p2(X2)
& p1(X2) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p15(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p13(X2)
& ~ p14(X2) )
| ( p14(X2)
& p13(X2) )
| ( ~ p12(X2)
& ~ p13(X2) )
| ( p13(X2)
& p12(X2) )
| ( ~ p11(X2)
& ~ p12(X2) )
| ( p12(X2)
& p11(X2) )
| ( ~ p10(X2)
& ~ p11(X2) )
| ( p11(X2)
& p10(X2) )
| ( ~ p9(X2)
& ~ p10(X2) )
| ( p10(X2)
& p9(X2) )
| ( ~ p8(X2)
& ~ p9(X2) )
| ( p9(X2)
& p8(X2) )
| ( ~ p7(X2)
& ~ p8(X2) )
| ( p8(X2)
& p7(X2) )
| ( ~ p6(X2)
& ~ p7(X2) )
| ( p7(X2)
& p6(X2) )
| ( ~ p5(X2)
& ~ p6(X2) )
| ( p6(X2)
& p5(X2) )
| ( ~ p4(X2)
& ~ p5(X2) )
| ( p5(X2)
& p4(X2) )
| ( ~ p3(X2)
& ~ p4(X2) )
| ( p4(X2)
& p3(X2) )
| ( ~ p2(X2)
& ~ p3(X2) )
| ( p3(X2)
& p2(X2) )
| ( ~ p1(X2)
& ~ p2(X2) )
| ( p2(X2)
& p1(X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(c_0_2,plain,
! [X1] :
( epred1_1(X1)
<=> ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] : ~ r1(X1,X2)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p14(X2)
& ~ p13(X2) )
| ( ~ p14(X2)
& p13(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p13(X1)
& ~ p12(X1) )
| ( ~ p13(X1)
& p12(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p12(X2)
& ~ p11(X2) )
| ( ~ p12(X2)
& p11(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p11(X1)
& ~ p10(X1) )
| ( ~ p11(X1)
& p10(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p10(X2)
& ~ p9(X2) )
| ( ~ p10(X2)
& p9(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p9(X1)
& ~ p8(X1) )
| ( ~ p9(X1)
& p8(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p8(X2)
& ~ p7(X2) )
| ( ~ p8(X2)
& p7(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p7(X1)
& ~ p6(X1) )
| ( ~ p7(X1)
& p6(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p6(X2)
& ~ p5(X2) )
| ( ~ p6(X2)
& p5(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p5(X1)
& ~ p4(X1) )
| ( ~ p5(X1)
& p4(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p4(X2)
& ~ p3(X2) )
| ( ~ p4(X2)
& p3(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p3(X1)
& ~ p2(X1) )
| ( ~ p3(X1)
& p2(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p2(X2)
& ~ p1(X2) )
| ( ~ p2(X2)
& p1(X2) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p15(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p13(X2)
& ~ p14(X2) )
| ( p14(X2)
& p13(X2) )
| ( ~ p12(X2)
& ~ p13(X2) )
| ( p13(X2)
& p12(X2) )
| ( ~ p11(X2)
& ~ p12(X2) )
| ( p12(X2)
& p11(X2) )
| ( ~ p10(X2)
& ~ p11(X2) )
| ( p11(X2)
& p10(X2) )
| ( ~ p9(X2)
& ~ p10(X2) )
| ( p10(X2)
& p9(X2) )
| ( ~ p8(X2)
& ~ p9(X2) )
| ( p9(X2)
& p8(X2) )
| ( ~ p7(X2)
& ~ p8(X2) )
| ( p8(X2)
& p7(X2) )
| ( ~ p6(X2)
& ~ p7(X2) )
| ( p7(X2)
& p6(X2) )
| ( ~ p5(X2)
& ~ p6(X2) )
| ( p6(X2)
& p5(X2) )
| ( ~ p4(X2)
& ~ p5(X2) )
| ( p5(X2)
& p4(X2) )
| ( ~ p3(X2)
& ~ p4(X2) )
| ( p4(X2)
& p3(X2) )
| ( ~ p2(X2)
& ~ p3(X2) )
| ( p3(X2)
& p2(X2) )
| ( ~ p1(X2)
& ~ p2(X2) )
| ( p2(X2)
& p1(X2) ) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
! [X1] :
( epred1_1(X1)
=> ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] : ~ r1(X1,X2)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p14(X2)
& ~ p13(X2) )
| ( ~ p14(X2)
& p13(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p13(X1)
& ~ p12(X1) )
| ( ~ p13(X1)
& p12(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p12(X2)
& ~ p11(X2) )
| ( ~ p12(X2)
& p11(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p11(X1)
& ~ p10(X1) )
| ( ~ p11(X1)
& p10(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p10(X2)
& ~ p9(X2) )
| ( ~ p10(X2)
& p9(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p9(X1)
& ~ p8(X1) )
| ( ~ p9(X1)
& p8(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p8(X2)
& ~ p7(X2) )
| ( ~ p8(X2)
& p7(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p7(X1)
& ~ p6(X1) )
| ( ~ p7(X1)
& p6(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p6(X2)
& ~ p5(X2) )
| ( ~ p6(X2)
& p5(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p5(X1)
& ~ p4(X1) )
| ( ~ p5(X1)
& p4(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p4(X2)
& ~ p3(X2) )
| ( ~ p4(X2)
& p3(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p3(X1)
& ~ p2(X1) )
| ( ~ p3(X1)
& p2(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p2(X2)
& ~ p1(X2) )
| ( ~ p2(X2)
& p1(X2) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p15(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p13(X2)
& ~ p14(X2) )
| ( p14(X2)
& p13(X2) )
| ( ~ p12(X2)
& ~ p13(X2) )
| ( p13(X2)
& p12(X2) )
| ( ~ p11(X2)
& ~ p12(X2) )
| ( p12(X2)
& p11(X2) )
| ( ~ p10(X2)
& ~ p11(X2) )
| ( p11(X2)
& p10(X2) )
| ( ~ p9(X2)
& ~ p10(X2) )
| ( p10(X2)
& p9(X2) )
| ( ~ p8(X2)
& ~ p9(X2) )
| ( p9(X2)
& p8(X2) )
| ( ~ p7(X2)
& ~ p8(X2) )
| ( p8(X2)
& p7(X2) )
| ( ~ p6(X2)
& ~ p7(X2) )
| ( p7(X2)
& p6(X2) )
| ( ~ p5(X2)
& ~ p6(X2) )
| ( p6(X2)
& p5(X2) )
| ( ~ p4(X2)
& ~ p5(X2) )
| ( p5(X2)
& p4(X2) )
| ( ~ p3(X2)
& ~ p4(X2) )
| ( p4(X2)
& p3(X2) )
| ( ~ p2(X2)
& ~ p3(X2) )
| ( p3(X2)
& p2(X2) )
| ( ~ p1(X2)
& ~ p2(X2) )
| ( p2(X2)
& p1(X2) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
fof(c_0_4,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ p15(X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| epred1_1(X1) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]),c_0_2]) ).
fof(c_0_5,plain,
! [X13,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39] :
( ( r1(X13,esk5_1(X13))
| ~ epred1_1(X13) )
& ( r1(esk5_1(X13),esk6_1(X13))
| ~ epred1_1(X13) )
& ( r1(esk6_1(X13),esk7_1(X13))
| ~ epred1_1(X13) )
& ( r1(esk7_1(X13),esk8_1(X13))
| ~ epred1_1(X13) )
& ( r1(esk8_1(X13),esk9_1(X13))
| ~ epred1_1(X13) )
& ( r1(esk9_1(X13),esk10_1(X13))
| ~ epred1_1(X13) )
& ( r1(esk10_1(X13),esk11_1(X13))
| ~ epred1_1(X13) )
& ( r1(esk11_1(X13),esk12_1(X13))
| ~ epred1_1(X13) )
& ( r1(esk12_1(X13),esk13_1(X13))
| ~ epred1_1(X13) )
& ( r1(esk13_1(X13),esk14_1(X13))
| ~ epred1_1(X13) )
& ( r1(esk14_1(X13),esk15_1(X13))
| ~ epred1_1(X13) )
& ( r1(esk15_1(X13),esk16_1(X13))
| ~ epred1_1(X13) )
& ( r1(esk16_1(X13),esk17_1(X13))
| ~ epred1_1(X13) )
& ( ~ p14(X27)
| p13(X27)
| ~ r1(esk16_1(X13),X27)
| ~ epred1_1(X13) )
& ( p14(X27)
| ~ p13(X27)
| ~ r1(esk16_1(X13),X27)
| ~ epred1_1(X13) )
& ( ~ p13(X28)
| p12(X28)
| ~ r1(esk15_1(X13),X28)
| ~ epred1_1(X13) )
& ( p13(X28)
| ~ p12(X28)
| ~ r1(esk15_1(X13),X28)
| ~ epred1_1(X13) )
& ( ~ p12(X29)
| p11(X29)
| ~ r1(esk14_1(X13),X29)
| ~ epred1_1(X13) )
& ( p12(X29)
| ~ p11(X29)
| ~ r1(esk14_1(X13),X29)
| ~ epred1_1(X13) )
& ( ~ p11(X30)
| p10(X30)
| ~ r1(esk13_1(X13),X30)
| ~ epred1_1(X13) )
& ( p11(X30)
| ~ p10(X30)
| ~ r1(esk13_1(X13),X30)
| ~ epred1_1(X13) )
& ( ~ p10(X31)
| p9(X31)
| ~ r1(esk12_1(X13),X31)
| ~ epred1_1(X13) )
& ( p10(X31)
| ~ p9(X31)
| ~ r1(esk12_1(X13),X31)
| ~ epred1_1(X13) )
& ( ~ p9(X32)
| p8(X32)
| ~ r1(esk11_1(X13),X32)
| ~ epred1_1(X13) )
& ( p9(X32)
| ~ p8(X32)
| ~ r1(esk11_1(X13),X32)
| ~ epred1_1(X13) )
& ( ~ p8(X33)
| p7(X33)
| ~ r1(esk10_1(X13),X33)
| ~ epred1_1(X13) )
& ( p8(X33)
| ~ p7(X33)
| ~ r1(esk10_1(X13),X33)
| ~ epred1_1(X13) )
& ( ~ p7(X34)
| p6(X34)
| ~ r1(esk9_1(X13),X34)
| ~ epred1_1(X13) )
& ( p7(X34)
| ~ p6(X34)
| ~ r1(esk9_1(X13),X34)
| ~ epred1_1(X13) )
& ( ~ p6(X35)
| p5(X35)
| ~ r1(esk8_1(X13),X35)
| ~ epred1_1(X13) )
& ( p6(X35)
| ~ p5(X35)
| ~ r1(esk8_1(X13),X35)
| ~ epred1_1(X13) )
& ( ~ p5(X36)
| p4(X36)
| ~ r1(esk7_1(X13),X36)
| ~ epred1_1(X13) )
& ( p5(X36)
| ~ p4(X36)
| ~ r1(esk7_1(X13),X36)
| ~ epred1_1(X13) )
& ( ~ p4(X37)
| p3(X37)
| ~ r1(esk6_1(X13),X37)
| ~ epred1_1(X13) )
& ( p4(X37)
| ~ p3(X37)
| ~ r1(esk6_1(X13),X37)
| ~ epred1_1(X13) )
& ( ~ p3(X38)
| p2(X38)
| ~ r1(esk5_1(X13),X38)
| ~ epred1_1(X13) )
& ( p3(X38)
| ~ p2(X38)
| ~ r1(esk5_1(X13),X38)
| ~ epred1_1(X13) )
& ( ~ p2(X39)
| p1(X39)
| ~ r1(X13,X39)
| ~ epred1_1(X13) )
& ( p2(X39)
| ~ p1(X39)
| ~ r1(X13,X39)
| ~ epred1_1(X13) )
& ( r1(X13,esk18_1(X13))
| ~ epred1_1(X13) )
& ( ~ p15(esk18_1(X13))
| ~ epred1_1(X13) )
& ( r1(X13,esk19_1(X13))
| ~ epred1_1(X13) )
& ( p13(esk19_1(X13))
| p14(esk19_1(X13))
| ~ epred1_1(X13) )
& ( ~ p14(esk19_1(X13))
| ~ p13(esk19_1(X13))
| ~ epred1_1(X13) )
& ( p12(esk19_1(X13))
| p13(esk19_1(X13))
| ~ epred1_1(X13) )
& ( ~ p13(esk19_1(X13))
| ~ p12(esk19_1(X13))
| ~ epred1_1(X13) )
& ( p11(esk19_1(X13))
| p12(esk19_1(X13))
| ~ epred1_1(X13) )
& ( ~ p12(esk19_1(X13))
| ~ p11(esk19_1(X13))
| ~ epred1_1(X13) )
& ( p10(esk19_1(X13))
| p11(esk19_1(X13))
| ~ epred1_1(X13) )
& ( ~ p11(esk19_1(X13))
| ~ p10(esk19_1(X13))
| ~ epred1_1(X13) )
& ( p9(esk19_1(X13))
| p10(esk19_1(X13))
| ~ epred1_1(X13) )
& ( ~ p10(esk19_1(X13))
| ~ p9(esk19_1(X13))
| ~ epred1_1(X13) )
& ( p8(esk19_1(X13))
| p9(esk19_1(X13))
| ~ epred1_1(X13) )
& ( ~ p9(esk19_1(X13))
| ~ p8(esk19_1(X13))
| ~ epred1_1(X13) )
& ( p7(esk19_1(X13))
| p8(esk19_1(X13))
| ~ epred1_1(X13) )
& ( ~ p8(esk19_1(X13))
| ~ p7(esk19_1(X13))
| ~ epred1_1(X13) )
& ( p6(esk19_1(X13))
| p7(esk19_1(X13))
| ~ epred1_1(X13) )
& ( ~ p7(esk19_1(X13))
| ~ p6(esk19_1(X13))
| ~ epred1_1(X13) )
& ( p5(esk19_1(X13))
| p6(esk19_1(X13))
| ~ epred1_1(X13) )
& ( ~ p6(esk19_1(X13))
| ~ p5(esk19_1(X13))
| ~ epred1_1(X13) )
& ( p4(esk19_1(X13))
| p5(esk19_1(X13))
| ~ epred1_1(X13) )
& ( ~ p5(esk19_1(X13))
| ~ p4(esk19_1(X13))
| ~ epred1_1(X13) )
& ( p3(esk19_1(X13))
| p4(esk19_1(X13))
| ~ epred1_1(X13) )
& ( ~ p4(esk19_1(X13))
| ~ p3(esk19_1(X13))
| ~ epred1_1(X13) )
& ( p2(esk19_1(X13))
| p3(esk19_1(X13))
| ~ epred1_1(X13) )
& ( ~ p3(esk19_1(X13))
| ~ p2(esk19_1(X13))
| ~ epred1_1(X13) )
& ( p1(esk19_1(X13))
| p2(esk19_1(X13))
| ~ epred1_1(X13) )
& ( ~ p2(esk19_1(X13))
| ~ p1(esk19_1(X13))
| ~ epred1_1(X13) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
fof(c_0_6,plain,
! [X4] : r1(X4,X4),
inference(variable_rename,[status(thm)],[reflexivity]) ).
fof(c_0_7,negated_conjecture,
! [X12] :
( r1(esk1_0,esk2_0)
& p15(esk2_0)
& r1(esk2_0,esk3_0)
& p1(esk3_0)
& r1(esk1_0,esk4_0)
& ( ~ r1(esk4_0,X12)
| epred1_1(X12) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
cnf(c_0_8,plain,
( p1(X1)
| ~ p2(X1)
| ~ r1(X2,X1)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( p2(X1)
| ~ p1(X1)
| ~ r1(X2,X1)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( r1(X1,esk19_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( p1(esk19_1(X1))
| p2(esk19_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk4_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
( ~ p2(esk19_1(X1))
| ~ p1(esk19_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
( p1(X1)
| ~ epred1_1(X1)
| ~ p2(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_16,plain,
( p2(esk19_1(X1))
| ~ epred1_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_17,negated_conjecture,
epred1_1(esk4_0),
inference(spm,[status(thm)],[c_0_13,c_0_9]) ).
cnf(c_0_18,plain,
( ~ epred1_1(esk19_1(X1))
| ~ epred1_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_19,negated_conjecture,
epred1_1(esk19_1(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_11]),c_0_17])]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LCL686+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 25 05:19:56 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.58 start to proof: theBenchmark
% 0.22/0.60 % Version : CSE_E---1.5
% 0.22/0.60 % Problem : theBenchmark.p
% 0.22/0.60 % Proof found
% 0.22/0.60 % SZS status Theorem for theBenchmark.p
% 0.22/0.60 % SZS output start Proof
% See solution above
% 0.22/0.61 % Total time : 0.011000 s
% 0.22/0.61 % SZS output end Proof
% 0.22/0.61 % Total time : 0.014000 s
%------------------------------------------------------------------------------