%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL686+1.010 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n028.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 : Tue May 5 04:44:50 PM UTC 2026
% Result : Theorem 1.32s 1.73s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 1354 ( 0 equ)
% Maximal formula atoms : 454 ( 67 avg)
% Number of connectives : 2364 (1030 ~; 849 |; 483 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 175 ( 26 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 2 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 4 con; 0-1 aty)
% Number of variables : 230 ( 1 sgn 216 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ p30(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)
| ! [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)
| ! [X1] :
( ~ r1(X2,X1)
| ~ $true )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p29(X1)
& ~ p28(X1) )
| ( ~ p29(X1)
& p28(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p28(X2)
& ~ p27(X2) )
| ( ~ p28(X2)
& p27(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p27(X1)
& ~ p26(X1) )
| ( ~ p27(X1)
& p26(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p26(X2)
& ~ p25(X2) )
| ( ~ p26(X2)
& p25(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p25(X1)
& ~ p24(X1) )
| ( ~ p25(X1)
& p24(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p24(X2)
& ~ p23(X2) )
| ( ~ p24(X2)
& p23(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p23(X1)
& ~ p22(X1) )
| ( ~ p23(X1)
& p22(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p22(X2)
& ~ p21(X2) )
| ( ~ p22(X2)
& p21(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p21(X1)
& ~ p20(X1) )
| ( ~ p21(X1)
& p20(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p20(X2)
& ~ p19(X2) )
| ( ~ p20(X2)
& p19(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p19(X1)
& ~ p18(X1) )
| ( ~ p19(X1)
& p18(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p18(X2)
& ~ p17(X2) )
| ( ~ p18(X2)
& p17(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p17(X1)
& ~ p16(X1) )
| ( ~ p17(X1)
& p16(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p16(X2)
& ~ p15(X2) )
| ( ~ p16(X2)
& p15(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p15(X1)
& ~ p14(X1) )
| ( ~ p15(X1)
& p14(X1) ) ) ) )
| ~ ! [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)
| p30(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p28(X2)
& ~ p29(X2) )
| ( p29(X2)
& p28(X2) )
| ( ~ p27(X2)
& ~ p28(X2) )
| ( p28(X2)
& p27(X2) )
| ( ~ p26(X2)
& ~ p27(X2) )
| ( p27(X2)
& p26(X2) )
| ( ~ p25(X2)
& ~ p26(X2) )
| ( p26(X2)
& p25(X2) )
| ( ~ p24(X2)
& ~ p25(X2) )
| ( p25(X2)
& p24(X2) )
| ( ~ p23(X2)
& ~ p24(X2) )
| ( p24(X2)
& p23(X2) )
| ( ~ p22(X2)
& ~ p23(X2) )
| ( p23(X2)
& p22(X2) )
| ( ~ p21(X2)
& ~ p22(X2) )
| ( p22(X2)
& p21(X2) )
| ( ~ p20(X2)
& ~ p21(X2) )
| ( p21(X2)
& p20(X2) )
| ( ~ p19(X2)
& ~ p20(X2) )
| ( p20(X2)
& p19(X2) )
| ( ~ p18(X2)
& ~ p19(X2) )
| ( p19(X2)
& p18(X2) )
| ( ~ p17(X2)
& ~ p18(X2) )
| ( p18(X2)
& p17(X2) )
| ( ~ p16(X2)
& ~ p17(X2) )
| ( p17(X2)
& p16(X2) )
| ( ~ p15(X2)
& ~ p16(X2) )
| ( p16(X2)
& p15(X2) )
| ( ~ p14(X2)
& ~ p15(X2) )
| ( p15(X2)
& p14(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/sandbox/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/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)
| ! [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)
| ! [X1] : ~ r1(X2,X1)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p29(X1)
& ~ p28(X1) )
| ( ~ p29(X1)
& p28(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p28(X2)
& ~ p27(X2) )
| ( ~ p28(X2)
& p27(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p27(X1)
& ~ p26(X1) )
| ( ~ p27(X1)
& p26(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p26(X2)
& ~ p25(X2) )
| ( ~ p26(X2)
& p25(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p25(X1)
& ~ p24(X1) )
| ( ~ p25(X1)
& p24(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p24(X2)
& ~ p23(X2) )
| ( ~ p24(X2)
& p23(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p23(X1)
& ~ p22(X1) )
| ( ~ p23(X1)
& p22(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p22(X2)
& ~ p21(X2) )
| ( ~ p22(X2)
& p21(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p21(X1)
& ~ p20(X1) )
| ( ~ p21(X1)
& p20(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p20(X2)
& ~ p19(X2) )
| ( ~ p20(X2)
& p19(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p19(X1)
& ~ p18(X1) )
| ( ~ p19(X1)
& p18(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p18(X2)
& ~ p17(X2) )
| ( ~ p18(X2)
& p17(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p17(X1)
& ~ p16(X1) )
| ( ~ p17(X1)
& p16(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p16(X2)
& ~ p15(X2) )
| ( ~ p16(X2)
& p15(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p15(X1)
& ~ p14(X1) )
| ( ~ p15(X1)
& p14(X1) ) ) ) )
| ~ ! [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)
| p30(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p28(X2)
& ~ p29(X2) )
| ( p29(X2)
& p28(X2) )
| ( ~ p27(X2)
& ~ p28(X2) )
| ( p28(X2)
& p27(X2) )
| ( ~ p26(X2)
& ~ p27(X2) )
| ( p27(X2)
& p26(X2) )
| ( ~ p25(X2)
& ~ p26(X2) )
| ( p26(X2)
& p25(X2) )
| ( ~ p24(X2)
& ~ p25(X2) )
| ( p25(X2)
& p24(X2) )
| ( ~ p23(X2)
& ~ p24(X2) )
| ( p24(X2)
& p23(X2) )
| ( ~ p22(X2)
& ~ p23(X2) )
| ( p23(X2)
& p22(X2) )
| ( ~ p21(X2)
& ~ p22(X2) )
| ( p22(X2)
& p21(X2) )
| ( ~ p20(X2)
& ~ p21(X2) )
| ( p21(X2)
& p20(X2) )
| ( ~ p19(X2)
& ~ p20(X2) )
| ( p20(X2)
& p19(X2) )
| ( ~ p18(X2)
& ~ p19(X2) )
| ( p19(X2)
& p18(X2) )
| ( ~ p17(X2)
& ~ p18(X2) )
| ( p18(X2)
& p17(X2) )
| ( ~ p16(X2)
& ~ p17(X2) )
| ( p17(X2)
& p16(X2) )
| ( ~ p15(X2)
& ~ p16(X2) )
| ( p16(X2)
& p15(X2) )
| ( ~ p14(X2)
& ~ p15(X2) )
| ( p15(X2)
& p14(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)
| ! [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)
| ! [X1] : ~ r1(X2,X1)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p29(X1)
& ~ p28(X1) )
| ( ~ p29(X1)
& p28(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p28(X2)
& ~ p27(X2) )
| ( ~ p28(X2)
& p27(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p27(X1)
& ~ p26(X1) )
| ( ~ p27(X1)
& p26(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p26(X2)
& ~ p25(X2) )
| ( ~ p26(X2)
& p25(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p25(X1)
& ~ p24(X1) )
| ( ~ p25(X1)
& p24(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p24(X2)
& ~ p23(X2) )
| ( ~ p24(X2)
& p23(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p23(X1)
& ~ p22(X1) )
| ( ~ p23(X1)
& p22(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p22(X2)
& ~ p21(X2) )
| ( ~ p22(X2)
& p21(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p21(X1)
& ~ p20(X1) )
| ( ~ p21(X1)
& p20(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p20(X2)
& ~ p19(X2) )
| ( ~ p20(X2)
& p19(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p19(X1)
& ~ p18(X1) )
| ( ~ p19(X1)
& p18(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p18(X2)
& ~ p17(X2) )
| ( ~ p18(X2)
& p17(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p17(X1)
& ~ p16(X1) )
| ( ~ p17(X1)
& p16(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p16(X2)
& ~ p15(X2) )
| ( ~ p16(X2)
& p15(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p15(X1)
& ~ p14(X1) )
| ( ~ p15(X1)
& p14(X1) ) ) ) )
| ~ ! [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)
| p30(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p28(X2)
& ~ p29(X2) )
| ( p29(X2)
& p28(X2) )
| ( ~ p27(X2)
& ~ p28(X2) )
| ( p28(X2)
& p27(X2) )
| ( ~ p26(X2)
& ~ p27(X2) )
| ( p27(X2)
& p26(X2) )
| ( ~ p25(X2)
& ~ p26(X2) )
| ( p26(X2)
& p25(X2) )
| ( ~ p24(X2)
& ~ p25(X2) )
| ( p25(X2)
& p24(X2) )
| ( ~ p23(X2)
& ~ p24(X2) )
| ( p24(X2)
& p23(X2) )
| ( ~ p22(X2)
& ~ p23(X2) )
| ( p23(X2)
& p22(X2) )
| ( ~ p21(X2)
& ~ p22(X2) )
| ( p22(X2)
& p21(X2) )
| ( ~ p20(X2)
& ~ p21(X2) )
| ( p21(X2)
& p20(X2) )
| ( ~ p19(X2)
& ~ p20(X2) )
| ( p20(X2)
& p19(X2) )
| ( ~ p18(X2)
& ~ p19(X2) )
| ( p19(X2)
& p18(X2) )
| ( ~ p17(X2)
& ~ p18(X2) )
| ( p18(X2)
& p17(X2) )
| ( ~ p16(X2)
& ~ p17(X2) )
| ( p17(X2)
& p16(X2) )
| ( ~ p15(X2)
& ~ p16(X2) )
| ( p16(X2)
& p15(X2) )
| ( ~ p14(X2)
& ~ p15(X2) )
| ( p15(X2)
& p14(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,plain,
! [X80,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136] :
( ( r1(X80,esk5_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk5_1(X80),esk6_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk6_1(X80),esk7_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk7_1(X80),esk8_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk8_1(X80),esk9_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk9_1(X80),esk10_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk10_1(X80),esk11_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk11_1(X80),esk12_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk12_1(X80),esk13_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk13_1(X80),esk14_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk14_1(X80),esk15_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk15_1(X80),esk16_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk16_1(X80),esk17_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk17_1(X80),esk18_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk18_1(X80),esk19_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk19_1(X80),esk20_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk20_1(X80),esk21_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk21_1(X80),esk22_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk22_1(X80),esk23_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk23_1(X80),esk24_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk24_1(X80),esk25_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk25_1(X80),esk26_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk26_1(X80),esk27_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk27_1(X80),esk28_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk28_1(X80),esk29_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk29_1(X80),esk30_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk30_1(X80),esk31_1(X80))
| ~ epred1_1(X80) )
& ( r1(esk31_1(X80),esk32_1(X80))
| ~ epred1_1(X80) )
& ( ~ p29(X109)
| p28(X109)
| ~ r1(esk31_1(X80),X109)
| ~ epred1_1(X80) )
& ( p29(X109)
| ~ p28(X109)
| ~ r1(esk31_1(X80),X109)
| ~ epred1_1(X80) )
& ( ~ p28(X110)
| p27(X110)
| ~ r1(esk30_1(X80),X110)
| ~ epred1_1(X80) )
& ( p28(X110)
| ~ p27(X110)
| ~ r1(esk30_1(X80),X110)
| ~ epred1_1(X80) )
& ( ~ p27(X111)
| p26(X111)
| ~ r1(esk29_1(X80),X111)
| ~ epred1_1(X80) )
& ( p27(X111)
| ~ p26(X111)
| ~ r1(esk29_1(X80),X111)
| ~ epred1_1(X80) )
& ( ~ p26(X112)
| p25(X112)
| ~ r1(esk28_1(X80),X112)
| ~ epred1_1(X80) )
& ( p26(X112)
| ~ p25(X112)
| ~ r1(esk28_1(X80),X112)
| ~ epred1_1(X80) )
& ( ~ p25(X113)
| p24(X113)
| ~ r1(esk27_1(X80),X113)
| ~ epred1_1(X80) )
& ( p25(X113)
| ~ p24(X113)
| ~ r1(esk27_1(X80),X113)
| ~ epred1_1(X80) )
& ( ~ p24(X114)
| p23(X114)
| ~ r1(esk26_1(X80),X114)
| ~ epred1_1(X80) )
& ( p24(X114)
| ~ p23(X114)
| ~ r1(esk26_1(X80),X114)
| ~ epred1_1(X80) )
& ( ~ p23(X115)
| p22(X115)
| ~ r1(esk25_1(X80),X115)
| ~ epred1_1(X80) )
& ( p23(X115)
| ~ p22(X115)
| ~ r1(esk25_1(X80),X115)
| ~ epred1_1(X80) )
& ( ~ p22(X116)
| p21(X116)
| ~ r1(esk24_1(X80),X116)
| ~ epred1_1(X80) )
& ( p22(X116)
| ~ p21(X116)
| ~ r1(esk24_1(X80),X116)
| ~ epred1_1(X80) )
& ( ~ p21(X117)
| p20(X117)
| ~ r1(esk23_1(X80),X117)
| ~ epred1_1(X80) )
& ( p21(X117)
| ~ p20(X117)
| ~ r1(esk23_1(X80),X117)
| ~ epred1_1(X80) )
& ( ~ p20(X118)
| p19(X118)
| ~ r1(esk22_1(X80),X118)
| ~ epred1_1(X80) )
& ( p20(X118)
| ~ p19(X118)
| ~ r1(esk22_1(X80),X118)
| ~ epred1_1(X80) )
& ( ~ p19(X119)
| p18(X119)
| ~ r1(esk21_1(X80),X119)
| ~ epred1_1(X80) )
& ( p19(X119)
| ~ p18(X119)
| ~ r1(esk21_1(X80),X119)
| ~ epred1_1(X80) )
& ( ~ p18(X120)
| p17(X120)
| ~ r1(esk20_1(X80),X120)
| ~ epred1_1(X80) )
& ( p18(X120)
| ~ p17(X120)
| ~ r1(esk20_1(X80),X120)
| ~ epred1_1(X80) )
& ( ~ p17(X121)
| p16(X121)
| ~ r1(esk19_1(X80),X121)
| ~ epred1_1(X80) )
& ( p17(X121)
| ~ p16(X121)
| ~ r1(esk19_1(X80),X121)
| ~ epred1_1(X80) )
& ( ~ p16(X122)
| p15(X122)
| ~ r1(esk18_1(X80),X122)
| ~ epred1_1(X80) )
& ( p16(X122)
| ~ p15(X122)
| ~ r1(esk18_1(X80),X122)
| ~ epred1_1(X80) )
& ( ~ p15(X123)
| p14(X123)
| ~ r1(esk17_1(X80),X123)
| ~ epred1_1(X80) )
& ( p15(X123)
| ~ p14(X123)
| ~ r1(esk17_1(X80),X123)
| ~ epred1_1(X80) )
& ( ~ p14(X124)
| p13(X124)
| ~ r1(esk16_1(X80),X124)
| ~ epred1_1(X80) )
& ( p14(X124)
| ~ p13(X124)
| ~ r1(esk16_1(X80),X124)
| ~ epred1_1(X80) )
& ( ~ p13(X125)
| p12(X125)
| ~ r1(esk15_1(X80),X125)
| ~ epred1_1(X80) )
& ( p13(X125)
| ~ p12(X125)
| ~ r1(esk15_1(X80),X125)
| ~ epred1_1(X80) )
& ( ~ p12(X126)
| p11(X126)
| ~ r1(esk14_1(X80),X126)
| ~ epred1_1(X80) )
& ( p12(X126)
| ~ p11(X126)
| ~ r1(esk14_1(X80),X126)
| ~ epred1_1(X80) )
& ( ~ p11(X127)
| p10(X127)
| ~ r1(esk13_1(X80),X127)
| ~ epred1_1(X80) )
& ( p11(X127)
| ~ p10(X127)
| ~ r1(esk13_1(X80),X127)
| ~ epred1_1(X80) )
& ( ~ p10(X128)
| p9(X128)
| ~ r1(esk12_1(X80),X128)
| ~ epred1_1(X80) )
& ( p10(X128)
| ~ p9(X128)
| ~ r1(esk12_1(X80),X128)
| ~ epred1_1(X80) )
& ( ~ p9(X129)
| p8(X129)
| ~ r1(esk11_1(X80),X129)
| ~ epred1_1(X80) )
& ( p9(X129)
| ~ p8(X129)
| ~ r1(esk11_1(X80),X129)
| ~ epred1_1(X80) )
& ( ~ p8(X130)
| p7(X130)
| ~ r1(esk10_1(X80),X130)
| ~ epred1_1(X80) )
& ( p8(X130)
| ~ p7(X130)
| ~ r1(esk10_1(X80),X130)
| ~ epred1_1(X80) )
& ( ~ p7(X131)
| p6(X131)
| ~ r1(esk9_1(X80),X131)
| ~ epred1_1(X80) )
& ( p7(X131)
| ~ p6(X131)
| ~ r1(esk9_1(X80),X131)
| ~ epred1_1(X80) )
& ( ~ p6(X132)
| p5(X132)
| ~ r1(esk8_1(X80),X132)
| ~ epred1_1(X80) )
& ( p6(X132)
| ~ p5(X132)
| ~ r1(esk8_1(X80),X132)
| ~ epred1_1(X80) )
& ( ~ p5(X133)
| p4(X133)
| ~ r1(esk7_1(X80),X133)
| ~ epred1_1(X80) )
& ( p5(X133)
| ~ p4(X133)
| ~ r1(esk7_1(X80),X133)
| ~ epred1_1(X80) )
& ( ~ p4(X134)
| p3(X134)
| ~ r1(esk6_1(X80),X134)
| ~ epred1_1(X80) )
& ( p4(X134)
| ~ p3(X134)
| ~ r1(esk6_1(X80),X134)
| ~ epred1_1(X80) )
& ( ~ p3(X135)
| p2(X135)
| ~ r1(esk5_1(X80),X135)
| ~ epred1_1(X80) )
& ( p3(X135)
| ~ p2(X135)
| ~ r1(esk5_1(X80),X135)
| ~ epred1_1(X80) )
& ( ~ p2(X136)
| p1(X136)
| ~ r1(X80,X136)
| ~ epred1_1(X80) )
& ( p2(X136)
| ~ p1(X136)
| ~ r1(X80,X136)
| ~ epred1_1(X80) )
& ( r1(X80,esk33_1(X80))
| ~ epred1_1(X80) )
& ( ~ p30(esk33_1(X80))
| ~ epred1_1(X80) )
& ( r1(X80,esk34_1(X80))
| ~ epred1_1(X80) )
& ( p28(esk34_1(X80))
| p29(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p29(esk34_1(X80))
| ~ p28(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p27(esk34_1(X80))
| p28(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p28(esk34_1(X80))
| ~ p27(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p26(esk34_1(X80))
| p27(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p27(esk34_1(X80))
| ~ p26(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p25(esk34_1(X80))
| p26(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p26(esk34_1(X80))
| ~ p25(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p24(esk34_1(X80))
| p25(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p25(esk34_1(X80))
| ~ p24(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p23(esk34_1(X80))
| p24(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p24(esk34_1(X80))
| ~ p23(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p22(esk34_1(X80))
| p23(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p23(esk34_1(X80))
| ~ p22(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p21(esk34_1(X80))
| p22(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p22(esk34_1(X80))
| ~ p21(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p20(esk34_1(X80))
| p21(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p21(esk34_1(X80))
| ~ p20(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p19(esk34_1(X80))
| p20(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p20(esk34_1(X80))
| ~ p19(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p18(esk34_1(X80))
| p19(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p19(esk34_1(X80))
| ~ p18(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p17(esk34_1(X80))
| p18(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p18(esk34_1(X80))
| ~ p17(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p16(esk34_1(X80))
| p17(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p17(esk34_1(X80))
| ~ p16(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p15(esk34_1(X80))
| p16(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p16(esk34_1(X80))
| ~ p15(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p14(esk34_1(X80))
| p15(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p15(esk34_1(X80))
| ~ p14(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p13(esk34_1(X80))
| p14(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p14(esk34_1(X80))
| ~ p13(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p12(esk34_1(X80))
| p13(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p13(esk34_1(X80))
| ~ p12(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p11(esk34_1(X80))
| p12(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p12(esk34_1(X80))
| ~ p11(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p10(esk34_1(X80))
| p11(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p11(esk34_1(X80))
| ~ p10(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p9(esk34_1(X80))
| p10(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p10(esk34_1(X80))
| ~ p9(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p8(esk34_1(X80))
| p9(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p9(esk34_1(X80))
| ~ p8(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p7(esk34_1(X80))
| p8(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p8(esk34_1(X80))
| ~ p7(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p6(esk34_1(X80))
| p7(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p7(esk34_1(X80))
| ~ p6(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p5(esk34_1(X80))
| p6(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p6(esk34_1(X80))
| ~ p5(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p4(esk34_1(X80))
| p5(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p5(esk34_1(X80))
| ~ p4(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p3(esk34_1(X80))
| p4(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p4(esk34_1(X80))
| ~ p3(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p2(esk34_1(X80))
| p3(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p3(esk34_1(X80))
| ~ p2(esk34_1(X80))
| ~ epred1_1(X80) )
& ( p1(esk34_1(X80))
| p2(esk34_1(X80))
| ~ epred1_1(X80) )
& ( ~ p2(esk34_1(X80))
| ~ p1(esk34_1(X80))
| ~ epred1_1(X80) ) ),
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_5,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ p30(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]) ).
cnf(c_0_6,plain,
( p1(X1)
| ~ p2(X1)
| ~ r1(X2,X1)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( r1(X1,esk34_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( p1(esk34_1(X1))
| p2(esk34_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_9,negated_conjecture,
! [X79] :
( r1(esk1_0,esk2_0)
& p30(esk2_0)
& r1(esk2_0,esk3_0)
& p1(esk3_0)
& r1(esk1_0,esk4_0)
& ( ~ r1(esk4_0,X79)
| epred1_1(X79) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_10,plain,
! [X71] : r1(X71,X71),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_11,plain,
( ~ p2(esk34_1(X1))
| ~ p1(esk34_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,plain,
( p1(esk34_1(X1))
| ~ epred1_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk4_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( p2(X1)
| ~ p1(X1)
| ~ r1(X2,X1)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,plain,
( ~ epred1_1(X1)
| ~ p2(esk34_1(X1)) ),
inference(spm,[status(thm)],[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_14]) ).
cnf(c_0_18,plain,
~ epred1_1(X1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_7]),c_0_12]),c_0_16]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_17,c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL686+1.010 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n028.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 23:00:00 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.32/1.73 % Version : CSE_E---1.7
% 1.32/1.73 % Problem : theBenchmark.p
% 1.32/1.73 % SZS status Theorem for theBenchmark.p
% 1.32/1.73 % SZS output start CNFRefutation
% See solution above
% 1.32/1.73 % Total time : 1.371s
%------------------------------------------------------------------------------