TSTP Solution File: LCL726^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL726^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n011.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 : 600s
% DateTime : Sun Jul 17 12:26:17 EDT 2022
% Result : Theorem 0.11s 0.32s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of formulae : 66 ( 25 unt; 6 typ; 0 def)
% Number of atoms : 314 ( 108 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 553 ( 90 ~; 76 |; 4 &; 363 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 231 ( 231 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 176 ( 26 ^ 132 !; 18 ?; 176 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_Xg,type,
sK1_Xg: ( ( a > $o ) > a ) > a > $o ).
thf(tp_sK2_SY10,type,
sK2_SY10: ( ( a > $o ) > a ) > a ).
thf(tp_sK3_Xf,type,
sK3_Xf: ( ( a > $o ) > $o ) > ( a > $o ) > a ).
thf(tp_sK4_X,type,
sK4_X: ( ( a > $o ) > $o ) > a > $o ).
thf(tp_sK5_Eigen,type,
sK5_Eigen: ( a > $o ) > a ).
thf(1,conjecture,
( ! [Xs: ( a > $o ) > $o] :
( ! [X: a > $o] :
( ( Xs @ X )
=> ? [Xt: a] : ( X @ Xt ) )
=> ? [Xf: ( a > $o ) > a] :
! [X: a > $o] :
( ( Xs @ X )
=> ( X @ ( Xf @ X ) ) ) )
=> ! [Xg: ( ( a > $o ) > a ) > a > $o] :
( ! [Xh: ( a > $o ) > a] :
? [Xu: a] : ( Xg @ Xh @ Xu )
=> ? [Xf: ( a > $o ) > a] : ( Xg @ Xf @ ( Xf @ ( Xg @ Xf ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM534) ).
thf(2,negated_conjecture,
( ( ! [Xs: ( a > $o ) > $o] :
( ! [X: a > $o] :
( ( Xs @ X )
=> ? [Xt: a] : ( X @ Xt ) )
=> ? [Xf: ( a > $o ) > a] :
! [X: a > $o] :
( ( Xs @ X )
=> ( X @ ( Xf @ X ) ) ) )
=> ! [Xg: ( ( a > $o ) > a ) > a > $o] :
( ! [Xh: ( a > $o ) > a] :
? [Xu: a] : ( Xg @ Xh @ Xu )
=> ? [Xf: ( a > $o ) > a] : ( Xg @ Xf @ ( Xf @ ( Xg @ Xf ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xs: ( a > $o ) > $o] :
( ! [X: a > $o] :
( ( Xs @ X )
=> ? [Xt: a] : ( X @ Xt ) )
=> ? [Xf: ( a > $o ) > a] :
! [X: a > $o] :
( ( Xs @ X )
=> ( X @ ( Xf @ X ) ) ) )
=> ! [Xg: ( ( a > $o ) > a ) > a > $o] :
( ! [Xh: ( a > $o ) > a] :
? [Xu: a] : ( Xg @ Xh @ Xu )
=> ? [Xf: ( a > $o ) > a] : ( Xg @ Xf @ ( Xf @ ( Xg @ Xf ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xs: ( a > $o ) > $o] :
( ! [X: a > $o] :
( ( Xs @ X )
=> ? [Xt: a] : ( X @ Xt ) )
=> ? [Xf: ( a > $o ) > a] :
! [X: a > $o] :
( ( Xs @ X )
=> ( X @ ( Xf @ X ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xg: ( ( a > $o ) > a ) > a > $o] :
( ! [Xh: ( a > $o ) > a] :
? [Xu: a] : ( Xg @ Xh @ Xu )
=> ? [Xf: ( a > $o ) > a] : ( Xg @ Xf @ ( Xf @ ( Xg @ Xf ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ! [Xg: ( ( a > $o ) > a ) > a > $o] :
( ! [Xh: ( a > $o ) > a] :
? [Xu: a] : ( Xg @ Xh @ Xu )
=> ? [Xf: ( a > $o ) > a] : ( Xg @ Xf @ ( Xf @ ( Xg @ Xf ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY9: ( a > $o ) > a] : ( sK1_Xg @ SY9 @ ( sK2_SY10 @ SY9 ) )
& ! [SY11: ( a > $o ) > a] :
~ ( sK1_Xg @ SY11 @ ( SY11 @ ( sK1_Xg @ SY11 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [Xs: ( a > $o ) > $o] :
( ( ( Xs @ ( sK4_X @ Xs ) )
& ! [SY13: a] :
~ ( sK4_X @ Xs @ SY13 ) )
| ! [SY12: a > $o] :
( ~ ( Xs @ SY12 )
| ( SY12 @ ( sK3_Xf @ Xs @ SY12 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(9,plain,
( ( ! [Xs: ( a > $o ) > $o] :
( ( ( Xs @ ( sK4_X @ Xs ) )
& ! [SY13: a] :
~ ( sK4_X @ Xs @ SY13 ) )
| ! [SY12: a > $o] :
( ~ ( Xs @ SY12 )
| ( SY12 @ ( sK3_Xf @ Xs @ SY12 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [SY9: ( a > $o ) > a] : ( sK1_Xg @ SY9 @ ( sK2_SY10 @ SY9 ) )
& ! [SY11: ( a > $o ) > a] :
~ ( sK1_Xg @ SY11 @ ( SY11 @ ( sK1_Xg @ SY11 ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ! [SX0: ( a > $o ) > $o] :
( ~ ( ~ ( SX0 @ ( sK4_X @ SX0 ) )
| ~ ! [SX1: a] :
~ ( sK4_X @ SX0 @ SX1 ) )
| ! [SX1: a > $o] :
( ~ ( SX0 @ SX1 )
| ( SX1 @ ( sK3_Xf @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(12,plain,
( ( ~ ( ~ ! [SX0: ( a > $o ) > a] : ( sK1_Xg @ SX0 @ ( sK2_SY10 @ SX0 ) )
| ~ ! [SX0: ( a > $o ) > a] :
~ ( sK1_Xg @ SX0 @ ( SX0 @ ( sK1_Xg @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(13,plain,
! [SV1: ( a > $o ) > $o] :
( ( ~ ( ~ ( SV1 @ ( sK4_X @ SV1 ) )
| ~ ! [SY14: a] :
~ ( sK4_X @ SV1 @ SY14 ) )
| ! [SY15: a > $o] :
( ~ ( SV1 @ SY15 )
| ( SY15 @ ( sK3_Xf @ SV1 @ SY15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ! [SX0: ( a > $o ) > a] : ( sK1_Xg @ SX0 @ ( sK2_SY10 @ SX0 ) )
| ~ ! [SX0: ( a > $o ) > a] :
~ ( sK1_Xg @ SX0 @ ( SX0 @ ( sK1_Xg @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV1: ( a > $o ) > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK4_X @ SV1 ) )
| ~ ! [SY14: a] :
~ ( sK4_X @ SV1 @ SY14 ) ) )
= $true )
| ( ( ! [SY15: a > $o] :
( ~ ( SV1 @ SY15 )
| ( SY15 @ ( sK3_Xf @ SV1 @ SY15 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ! [SX0: ( a > $o ) > a] : ( sK1_Xg @ SX0 @ ( sK2_SY10 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ! [SX0: ( a > $o ) > a] :
~ ( sK1_Xg @ SX0 @ ( SX0 @ ( sK1_Xg @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(18,plain,
! [SV1: ( a > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK4_X @ SV1 ) )
| ~ ! [SY14: a] :
~ ( sK4_X @ SV1 @ SY14 ) )
= $false )
| ( ( ! [SY15: a > $o] :
( ~ ( SV1 @ SY15 )
| ( SY15 @ ( sK3_Xf @ SV1 @ SY15 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(19,plain,
( ( ! [SX0: ( a > $o ) > a] : ( sK1_Xg @ SX0 @ ( sK2_SY10 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
( ( ! [SX0: ( a > $o ) > a] :
~ ( sK1_Xg @ SX0 @ ( SX0 @ ( sK1_Xg @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: ( a > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK4_X @ SV1 ) ) )
= $false )
| ( ( ! [SY15: a > $o] :
( ~ ( SV1 @ SY15 )
| ( SY15 @ ( sK3_Xf @ SV1 @ SY15 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV1: ( a > $o ) > $o] :
( ( ( ~ ! [SY14: a] :
~ ( sK4_X @ SV1 @ SY14 ) )
= $false )
| ( ( ! [SY15: a > $o] :
( ~ ( SV1 @ SY15 )
| ( SY15 @ ( sK3_Xf @ SV1 @ SY15 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(23,plain,
! [SV2: ( a > $o ) > a] :
( ( sK1_Xg @ SV2 @ ( sK2_SY10 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV3: ( a > $o ) > a] :
( ( ~ ( sK1_Xg @ SV3 @ ( SV3 @ ( sK1_Xg @ SV3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(25,plain,
! [SV1: ( a > $o ) > $o] :
( ( ( SV1 @ ( sK4_X @ SV1 ) )
= $true )
| ( ( ! [SY15: a > $o] :
( ~ ( SV1 @ SY15 )
| ( SY15 @ ( sK3_Xf @ SV1 @ SY15 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
! [SV1: ( a > $o ) > $o] :
( ( ( ! [SY14: a] :
~ ( sK4_X @ SV1 @ SY14 ) )
= $true )
| ( ( ! [SY15: a > $o] :
( ~ ( SV1 @ SY15 )
| ( SY15 @ ( sK3_Xf @ SV1 @ SY15 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(27,plain,
! [SV3: ( a > $o ) > a] :
( ( sK1_Xg @ SV3 @ ( SV3 @ ( sK1_Xg @ SV3 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(28,plain,
! [SV4: a > $o,SV1: ( a > $o ) > $o] :
( ( ( ~ ( SV1 @ SV4 )
| ( SV4 @ ( sK3_Xf @ SV1 @ SV4 ) ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV5: a,SV1: ( a > $o ) > $o] :
( ( ( ~ ( sK4_X @ SV1 @ SV5 ) )
= $true )
| ( ( ! [SY15: a > $o] :
( ~ ( SV1 @ SY15 )
| ( SY15 @ ( sK3_Xf @ SV1 @ SY15 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(30,plain,
! [SV4: a > $o,SV1: ( a > $o ) > $o] :
( ( ( ~ ( SV1 @ SV4 ) )
= $true )
| ( ( SV4 @ ( sK3_Xf @ SV1 @ SV4 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV5: a,SV1: ( a > $o ) > $o] :
( ( ( sK4_X @ SV1 @ SV5 )
= $false )
| ( ( ! [SY15: a > $o] :
( ~ ( SV1 @ SY15 )
| ( SY15 @ ( sK3_Xf @ SV1 @ SY15 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(32,plain,
! [SV4: a > $o,SV1: ( a > $o ) > $o] :
( ( ( SV1 @ SV4 )
= $false )
| ( ( SV4 @ ( sK3_Xf @ SV1 @ SV4 ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(33,plain,
! [SV5: a,SV6: a > $o,SV1: ( a > $o ) > $o] :
( ( ( ~ ( SV1 @ SV6 )
| ( SV6 @ ( sK3_Xf @ SV1 @ SV6 ) ) )
= $true )
| ( ( sK4_X @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV5: a,SV6: a > $o,SV1: ( a > $o ) > $o] :
( ( ( ~ ( SV1 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK3_Xf @ SV1 @ SV6 ) )
= $true )
| ( ( sK4_X @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(35,plain,
! [SV5: a,SV6: a > $o,SV1: ( a > $o ) > $o] :
( ( ( SV1 @ SV6 )
= $false )
| ( ( SV6 @ ( sK3_Xf @ SV1 @ SV6 ) )
= $true )
| ( ( sK4_X @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(36,plain,
( ( sK1_Xg @ sK5_Eigen @ ( sK5_Eigen @ ( sK1_Xg @ sK5_Eigen ) ) )
= $false ),
inference(instantiate,[status(thm)],[27:[bind(SV3,$thf( sK5_Eigen ))]]) ).
thf(37,plain,
! [SV3: ( a > $o ) > a] :
( ( ~ ~ ! [SV7: a] :
~ ( sK1_Xg @ SV3 @ SV7 )
| ( sK1_Xg @ SV3 @ ( sK5_Eigen @ ( sK1_Xg @ SV3 ) ) ) )
= $true ),
inference(choice,[status(thm)],[27]) ).
thf(38,plain,
! [SV8: ( a > $o ) > a] :
( ( ~ ~ ! [SX0: a] :
~ ( sK1_Xg @ SV8 @ SX0 )
| ( sK1_Xg @ SV8 @ ( sK5_Eigen @ ( sK1_Xg @ SV8 ) ) ) )
= $true ),
inference(rename,[status(thm)],[37]) ).
thf(39,plain,
! [SV8: ( a > $o ) > a] :
( ( ( ~ ~ ! [SX0: a] :
~ ( sK1_Xg @ SV8 @ SX0 ) )
= $true )
| ( ( sK1_Xg @ SV8 @ ( sK5_Eigen @ ( sK1_Xg @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(40,plain,
! [SV8: ( a > $o ) > a] :
( ( ( ~ ! [SX0: a] :
~ ( sK1_Xg @ SV8 @ SX0 ) )
= $false )
| ( ( sK1_Xg @ SV8 @ ( sK5_Eigen @ ( sK1_Xg @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(41,plain,
! [SV8: ( a > $o ) > a] :
( ( ( ! [SX0: a] :
~ ( sK1_Xg @ SV8 @ SX0 ) )
= $true )
| ( ( sK1_Xg @ SV8 @ ( sK5_Eigen @ ( sK1_Xg @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(42,plain,
! [SV9: a,SV8: ( a > $o ) > a] :
( ( ( ~ ( sK1_Xg @ SV8 @ SV9 ) )
= $true )
| ( ( sK1_Xg @ SV8 @ ( sK5_Eigen @ ( sK1_Xg @ SV8 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(43,plain,
! [SV9: a,SV8: ( a > $o ) > a] :
( ( ( sK1_Xg @ SV8 @ SV9 )
= $false )
| ( ( sK1_Xg @ SV8 @ ( sK5_Eigen @ ( sK1_Xg @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(45,plain,
! [SV1: ( a > $o ) > $o] :
( ( ( SV1
@ ^ [SX0: a] : $false )
= $false )
| ( $false = $true )
| ( ( SV1 @ ( sK4_X @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[32:[bind(SV4,$thf( ^ [SV16: a] : $false ))]]) ).
thf(46,plain,
! [SV15: a > $o,SV1: ( a > $o ) > $o] :
( ( ( SV1
@ ^ [SX0: a] :
~ ( SV15 @ SX0 ) )
= $false )
| ( ( ~ ( SV15
@ ( sK3_Xf @ SV1
@ ^ [SX0: a] :
~ ( SV15 @ SX0 ) ) ) )
= $true )
| ( ( SV1 @ ( sK4_X @ SV1 ) )
= $true ) ),
inference(prim_subst,[status(thm)],[32:[bind(SV4,$thf( ^ [SV14: a] : ~ ( SV15 @ SV14 ) ))]]) ).
thf(49,plain,
! [SV4: a > $o,SV19: ( a > $o ) > $o] :
( ( ( ~ ( SV19 @ SV4 ) )
= $false )
| ( ( SV4
@ ( sK3_Xf
@ ^ [SX0: a > $o] :
~ ( SV19 @ SX0 )
@ SV4 ) )
= $true )
| ( ( ~ ( SV19
@ ( sK4_X
@ ^ [SX0: a > $o] :
~ ( SV19 @ SX0 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[32:[bind(SV1,$thf( ^ [SV18: a > $o] : ~ ( SV19 @ SV18 ) ))]]) ).
thf(51,plain,
! [SV5: a,SV1: ( a > $o ) > $o] :
( ( ( SV1
@ ^ [SX0: a] : $false )
= $false )
| ( $false = $true )
| ( ( sK4_X @ SV1 @ SV5 )
= $false ) ),
inference(prim_subst,[status(thm)],[35:[bind(SV6,$thf( ^ [SV12: a] : $false ))]]) ).
thf(52,plain,
! [SV5: a,SV11: a > $o,SV1: ( a > $o ) > $o] :
( ( ( SV1
@ ^ [SX0: a] :
~ ( SV11 @ SX0 ) )
= $false )
| ( ( ~ ( SV11
@ ( sK3_Xf @ SV1
@ ^ [SX0: a] :
~ ( SV11 @ SX0 ) ) ) )
= $true )
| ( ( sK4_X @ SV1 @ SV5 )
= $false ) ),
inference(prim_subst,[status(thm)],[35:[bind(SV6,$thf( ^ [SV10: a] : ~ ( SV11 @ SV10 ) ))]]) ).
thf(53,plain,
! [SV5: a,SV6: a > $o] :
( ( $true = $false )
| ( ( SV6
@ ( sK3_Xf
@ ^ [SX0: a > $o] : $true
@ SV6 ) )
= $true )
| ( ( sK4_X
@ ^ [SX0: a > $o] : $true
@ SV5 )
= $false ) ),
inference(prim_subst,[status(thm)],[35:[bind(SV1,$thf( ^ [SV21: a > $o] : $true ))]]) ).
thf(55,plain,
! [SV5: a,SV6: a > $o,SV19: ( a > $o ) > $o] :
( ( ( ~ ( SV19 @ SV6 ) )
= $false )
| ( ( SV6
@ ( sK3_Xf
@ ^ [SX0: a > $o] :
~ ( SV19 @ SX0 )
@ SV6 ) )
= $true )
| ( ( sK4_X
@ ^ [SX0: a > $o] :
~ ( SV19 @ SX0 )
@ SV5 )
= $false ) ),
inference(prim_subst,[status(thm)],[35:[bind(SV1,$thf( ^ [SV18: a > $o] : ~ ( SV19 @ SV18 ) ))]]) ).
thf(56,plain,
! [SV1: ( a > $o ) > $o,SV15: a > $o] :
( ( ( SV15
@ ( sK3_Xf @ SV1
@ ^ [SX0: a] :
~ ( SV15 @ SX0 ) ) )
= $false )
| ( ( SV1
@ ^ [SX0: a] :
~ ( SV15 @ SX0 ) )
= $false )
| ( ( SV1 @ ( sK4_X @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(57,plain,
! [SV4: a > $o,SV19: ( a > $o ) > $o] :
( ( ( SV19 @ SV4 )
= $true )
| ( ( SV4
@ ( sK3_Xf
@ ^ [SX0: a > $o] :
~ ( SV19 @ SX0 )
@ SV4 ) )
= $true )
| ( ( ~ ( SV19
@ ( sK4_X
@ ^ [SX0: a > $o] :
~ ( SV19 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(58,plain,
! [SV5: a,SV1: ( a > $o ) > $o,SV11: a > $o] :
( ( ( SV11
@ ( sK3_Xf @ SV1
@ ^ [SX0: a] :
~ ( SV11 @ SX0 ) ) )
= $false )
| ( ( SV1
@ ^ [SX0: a] :
~ ( SV11 @ SX0 ) )
= $false )
| ( ( sK4_X @ SV1 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(59,plain,
! [SV5: a,SV6: a > $o,SV19: ( a > $o ) > $o] :
( ( ( SV19 @ SV6 )
= $true )
| ( ( SV6
@ ( sK3_Xf
@ ^ [SX0: a > $o] :
~ ( SV19 @ SX0 )
@ SV6 ) )
= $true )
| ( ( sK4_X
@ ^ [SX0: a > $o] :
~ ( SV19 @ SX0 )
@ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(60,plain,
! [SV4: a > $o,SV19: ( a > $o ) > $o] :
( ( ( SV19
@ ( sK4_X
@ ^ [SX0: a > $o] :
~ ( SV19 @ SX0 ) ) )
= $false )
| ( ( SV4
@ ( sK3_Xf
@ ^ [SX0: a > $o] :
~ ( SV19 @ SX0 )
@ SV4 ) )
= $true )
| ( ( SV19 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(61,plain,
! [SV1: ( a > $o ) > $o] :
( ( ( SV1
@ ^ [SX0: a] : $false )
= $false )
| ( ( SV1 @ ( sK4_X @ SV1 ) )
= $true ) ),
inference(sim,[status(thm)],[45]) ).
thf(62,plain,
! [SV5: a,SV1: ( a > $o ) > $o] :
( ( ( SV1
@ ^ [SX0: a] : $false )
= $false )
| ( ( sK4_X @ SV1 @ SV5 )
= $false ) ),
inference(sim,[status(thm)],[51]) ).
thf(63,plain,
! [SV5: a,SV6: a > $o] :
( ( ( SV6
@ ( sK3_Xf
@ ^ [SX0: a > $o] : $true
@ SV6 ) )
= $true )
| ( ( sK4_X
@ ^ [SX0: a > $o] : $true
@ SV5 )
= $false ) ),
inference(sim,[status(thm)],[53]) ).
thf(64,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[23,63,62,61,60,59,58,56,43,36,35,32,27]) ).
thf(65,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : LCL726^5 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.07 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.07/0.26 % Computer : n011.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Sat Jul 2 15:31:19 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.07/0.27
% 0.07/0.27 No.of.Axioms: 0
% 0.07/0.27
% 0.07/0.27 Length.of.Defs: 0
% 0.07/0.27
% 0.07/0.27 Contains.Choice.Funs: false
% 0.07/0.27 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.07/0.28
% 0.07/0.28 *** Modified list of choice operators: sK5_Eigen ***
% 0.07/0.28 .
% 0.11/0.32
% 0.11/0.32 ********************************
% 0.11/0.32 * All subproblems solved! *
% 0.11/0.32 ********************************
% 0.11/0.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:64,loop_count:0,foatp_calls:2,translation:fof_full)
% 0.11/0.32
% 0.11/0.32 %**** Beginning of derivation protocol ****
% 0.11/0.32 % SZS output start CNFRefutation
% See solution above
% 0.11/0.32
% 0.11/0.32 %**** End of derivation protocol ****
% 0.11/0.32 %**** no. of clauses in derivation: 60 ****
% 0.11/0.32 %**** clause counter: 64 ****
% 0.11/0.32
% 0.11/0.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:64,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------