TSTP Solution File: SET741^4 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SET741^4 : TPTP v8.1.0. Released v3.6.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n009.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 : Tue Jul 19 03:04:36 EDT 2022
% Result : Theorem 0.21s 0.41s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 26
% Syntax : Number of formulae : 76 ( 39 unt; 17 typ; 8 def)
% Number of atoms : 256 ( 148 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 376 ( 75 ~; 32 |; 13 &; 248 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 60 ( 60 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 6 con; 0-3 aty)
% Number of variables : 104 ( 16 ^ 85 !; 3 ?; 104 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_fun_bijective,type,
fun_bijective: ( $i > $i ) > $o ).
thf(tp_fun_composition,type,
fun_composition: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(tp_fun_decreasing,type,
fun_decreasing: ( $i > $i ) > ( $i > $i > $o ) > $o ).
thf(tp_fun_image,type,
fun_image: ( $i > $i ) > ( $i > $o ) > $i > $o ).
thf(tp_fun_increasing,type,
fun_increasing: ( $i > $i ) > ( $i > $i > $o ) > $o ).
thf(tp_fun_injective,type,
fun_injective: ( $i > $i ) > $o ).
thf(tp_fun_inv_image,type,
fun_inv_image: ( $i > $i ) > ( $i > $o ) > $i > $o ).
thf(tp_fun_surjective,type,
fun_surjective: ( $i > $i ) > $o ).
thf(tp_sK1_F,type,
sK1_F: $i > $i ).
thf(tp_sK2_SY0,type,
sK2_SY0: $i > $i ).
thf(tp_sK3_SY2,type,
sK3_SY2: $i > $i ).
thf(tp_sK4_SY4,type,
sK4_SY4: $i > $i ).
thf(tp_sK5_SY5,type,
sK5_SY5: $i > $i ).
thf(tp_sK6_SX0,type,
sK6_SX0: $i ).
thf(tp_sK7_SY6,type,
sK7_SY6: $i ).
thf(tp_sK8_SX0,type,
sK8_SX0: $i ).
thf(tp_sK9_SX0,type,
sK9_SX0: $i ).
thf(fun_bijective,definition,
( fun_bijective
= ( ^ [F: $i > $i] :
( ( fun_injective @ F )
& ( fun_surjective @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fun_bijective) ).
thf(fun_composition,definition,
( fun_composition
= ( ^ [F: $i > $i,G: $i > $i,X: $i] : ( G @ ( F @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fun_composition) ).
thf(fun_decreasing,definition,
( fun_decreasing
= ( ^ [F: $i > $i,SMALLER: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( SMALLER @ X @ Y )
=> ( SMALLER @ ( F @ Y ) @ ( F @ X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fun_decreasing) ).
thf(fun_image,definition,
( fun_image
= ( ^ [F: $i > $i,A: $i > $o,Y: $i] :
? [X: $i] :
( ( A @ X )
& ( Y
= ( F @ X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fun_image) ).
thf(fun_increasing,definition,
( fun_increasing
= ( ^ [F: $i > $i,SMALLER: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( SMALLER @ X @ Y )
=> ( SMALLER @ ( F @ X ) @ ( F @ Y ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fun_increasing) ).
thf(fun_injective,definition,
( fun_injective
= ( ^ [F: $i > $i] :
! [X: $i,Y: $i] :
( ( ( F @ X )
= ( F @ Y ) )
=> ( X = Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fun_injective) ).
thf(fun_inv_image,definition,
( fun_inv_image
= ( ^ [F: $i > $i,B: $i > $o,X: $i] :
? [Y: $i] :
( ( B @ Y )
& ( Y
= ( F @ X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fun_inv_image) ).
thf(fun_surjective,definition,
( fun_surjective
= ( ^ [F: $i > $i] :
! [Y: $i] :
? [X: $i] :
( Y
= ( F @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fun_surjective) ).
thf(1,conjecture,
! [F: $i > $i,G: $i > $i,H: $i > $i] :
( ( ( fun_injective @ ( fun_composition @ ( fun_composition @ F @ G ) @ H ) )
& ( fun_surjective @ ( fun_composition @ ( fun_composition @ G @ H ) @ F ) )
& ( fun_surjective @ ( fun_composition @ ( fun_composition @ H @ F ) @ G ) ) )
=> ( fun_bijective @ H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
thf(2,negated_conjecture,
( ( ! [F: $i > $i,G: $i > $i,H: $i > $i] :
( ( ( fun_injective @ ( fun_composition @ ( fun_composition @ F @ G ) @ H ) )
& ( fun_surjective @ ( fun_composition @ ( fun_composition @ G @ H ) @ F ) )
& ( fun_surjective @ ( fun_composition @ ( fun_composition @ H @ F ) @ G ) ) )
=> ( fun_bijective @ H ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [SY0: $i > $i,SY1: $i > $i] :
( ( ( fun_injective @ ( fun_composition @ ( fun_composition @ sK1_F @ SY0 ) @ SY1 ) )
& ( fun_surjective @ ( fun_composition @ ( fun_composition @ SY0 @ SY1 ) @ sK1_F ) )
& ( fun_surjective @ ( fun_composition @ ( fun_composition @ SY1 @ sK1_F ) @ SY0 ) ) )
=> ( fun_bijective @ SY1 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2]) ).
thf(4,plain,
( ( ! [SY2: $i > $i] :
( ( ( fun_injective @ ( fun_composition @ ( fun_composition @ sK1_F @ sK2_SY0 ) @ SY2 ) )
& ( fun_surjective @ ( fun_composition @ ( fun_composition @ sK2_SY0 @ SY2 ) @ sK1_F ) )
& ( fun_surjective @ ( fun_composition @ ( fun_composition @ SY2 @ sK1_F ) @ sK2_SY0 ) ) )
=> ( fun_bijective @ SY2 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ( ( fun_injective @ ( fun_composition @ ( fun_composition @ sK1_F @ sK2_SY0 ) @ sK3_SY2 ) )
& ( fun_surjective @ ( fun_composition @ ( fun_composition @ sK2_SY0 @ sK3_SY2 ) @ sK1_F ) )
& ( fun_surjective @ ( fun_composition @ ( fun_composition @ sK3_SY2 @ sK1_F ) @ sK2_SY0 ) ) )
=> ( fun_bijective @ sK3_SY2 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( fun_injective @ ( fun_composition @ ( fun_composition @ sK1_F @ sK2_SY0 ) @ sK3_SY2 ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( fun_surjective @ ( fun_composition @ ( fun_composition @ sK2_SY0 @ sK3_SY2 ) @ sK1_F ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( fun_surjective @ ( fun_composition @ ( fun_composition @ sK3_SY2 @ sK1_F ) @ sK2_SY0 ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(9,plain,
( ( fun_bijective @ sK3_SY2 )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(10,plain,
( ( ~ ( fun_bijective @ sK3_SY2 ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(11,plain,
( ( fun_surjective @ ( fun_composition @ ( fun_composition @ sK3_SY2 @ sK1_F ) @ sK2_SY0 ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(12,plain,
( ( fun_surjective @ ( fun_composition @ ( fun_composition @ sK2_SY0 @ sK3_SY2 ) @ sK1_F ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(13,plain,
( ( fun_injective @ ( fun_composition @ ( fun_composition @ sK1_F @ sK2_SY0 ) @ sK3_SY2 ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(14,plain,
( ( ~ ( fun_bijective @ sK3_SY2 ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(15,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( ( sK3_SY2 @ SX0 )
!= ( sK3_SY2 @ SX1 ) )
| ( SX0 = SX1 ) )
| ~ ! [SX0: $i] :
~ ! [SX1: $i] :
( SX0
!= ( sK3_SY2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14,fun_bijective,fun_composition,fun_decreasing,fun_image,fun_increasing,fun_injective,fun_inv_image,fun_surjective]) ).
thf(16,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( sK3_SY2 @ ( sK2_SY0 @ ( sK1_F @ SX0 ) ) )
!= ( sK3_SY2 @ ( sK2_SY0 @ ( sK1_F @ SX1 ) ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,fun_bijective,fun_composition,fun_decreasing,fun_image,fun_increasing,fun_injective,fun_inv_image,fun_surjective]) ).
thf(17,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
( SX0
!= ( sK1_F @ ( sK3_SY2 @ ( sK2_SY0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,fun_bijective,fun_composition,fun_decreasing,fun_image,fun_increasing,fun_injective,fun_inv_image,fun_surjective]) ).
thf(18,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
( SX0
!= ( sK2_SY0 @ ( sK1_F @ ( sK3_SY2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11,fun_bijective,fun_composition,fun_decreasing,fun_image,fun_increasing,fun_injective,fun_inv_image,fun_surjective]) ).
thf(19,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( ( sK3_SY2 @ SX0 )
!= ( sK3_SY2 @ SX1 ) )
| ( SX0 = SX1 ) )
| ~ ! [SX0: $i] :
~ ! [SX1: $i] :
( SX0
!= ( sK3_SY2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(20,plain,
! [SV1: $i] :
( ( ! [SY3: $i] :
( ( ( sK3_SY2 @ ( sK2_SY0 @ ( sK1_F @ SV1 ) ) )
!= ( sK3_SY2 @ ( sK2_SY0 @ ( sK1_F @ SY3 ) ) ) )
| ( SV1 = SY3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(21,plain,
! [SV2: $i] :
( ( ~ ! [SY4: $i] :
( SV2
!= ( sK1_F @ ( sK3_SY2 @ ( sK2_SY0 @ SY4 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(22,plain,
! [SV3: $i] :
( ( ~ ! [SY5: $i] :
( SV3
!= ( sK2_SY0 @ ( sK1_F @ ( sK3_SY2 @ SY5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(23,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( sK3_SY2 @ SX0 )
!= ( sK3_SY2 @ SX1 ) )
| ( SX0 = SX1 ) )
| ~ ! [SX0: $i] :
~ ! [SX1: $i] :
( SX0
!= ( sK3_SY2 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(24,plain,
! [SV4: $i,SV1: $i] :
( ( ( ( sK3_SY2 @ ( sK2_SY0 @ ( sK1_F @ SV1 ) ) )
!= ( sK3_SY2 @ ( sK2_SY0 @ ( sK1_F @ SV4 ) ) ) )
| ( SV1 = SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(25,plain,
! [SV2: $i] :
( ( ! [SY4: $i] :
( SV2
!= ( sK1_F @ ( sK3_SY2 @ ( sK2_SY0 @ SY4 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(26,plain,
! [SV3: $i] :
( ( ! [SY5: $i] :
( SV3
!= ( sK2_SY0 @ ( sK1_F @ ( sK3_SY2 @ SY5 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(27,plain,
( ( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( sK3_SY2 @ SX0 )
!= ( sK3_SY2 @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
( SX0
!= ( sK3_SY2 @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV4: $i,SV1: $i] :
( ( ( ( ( sK3_SY2 @ ( sK2_SY0 @ ( sK1_F @ SV1 ) ) )
!= ( sK3_SY2 @ ( sK2_SY0 @ ( sK1_F @ SV4 ) ) ) ) )
= $true )
| ( ( SV1 = SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(29,plain,
! [SV2: $i] :
( ( ( SV2
!= ( sK1_F @ ( sK3_SY2 @ ( sK2_SY0 @ ( sK4_SY4 @ SV2 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[25]) ).
thf(30,plain,
! [SV3: $i] :
( ( ( SV3
!= ( sK2_SY0 @ ( sK1_F @ ( sK3_SY2 @ ( sK5_SY5 @ SV3 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[26]) ).
thf(31,plain,
( ( ( ! [SX0: $i,SX1: $i] :
( ( ( sK3_SY2 @ SX0 )
!= ( sK3_SY2 @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
( SX0
!= ( sK3_SY2 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV4: $i,SV1: $i] :
( ( ( ( sK3_SY2 @ ( sK2_SY0 @ ( sK1_F @ SV1 ) ) )
= ( sK3_SY2 @ ( sK2_SY0 @ ( sK1_F @ SV4 ) ) ) )
= $false )
| ( ( SV1 = SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV2: $i] :
( ( SV2
= ( sK1_F @ ( sK3_SY2 @ ( sK2_SY0 @ ( sK4_SY4 @ SV2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(34,plain,
! [SV3: $i] :
( ( SV3
= ( sK2_SY0 @ ( sK1_F @ ( sK3_SY2 @ ( sK5_SY5 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(35,plain,
( ( ( ! [SY6: $i] :
( ( ( sK3_SY2 @ sK6_SX0 )
!= ( sK3_SY2 @ SY6 ) )
| ( sK6_SX0 = SY6 ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
( SX0
!= ( sK3_SY2 @ SX1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[31]) ).
thf(36,plain,
( ( ( ( ( sK3_SY2 @ sK6_SX0 )
!= ( sK3_SY2 @ sK7_SY6 ) )
| ( sK6_SX0 = sK7_SY6 ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
( SX0
!= ( sK3_SY2 @ SX1 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[35]) ).
thf(37,plain,
( ( ( ( ( sK3_SY2 @ sK6_SX0 )
!= ( sK3_SY2 @ sK7_SY6 ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
( SX0
!= ( sK3_SY2 @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(38,plain,
( ( ( sK6_SX0 = sK7_SY6 )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
( SX0
!= ( sK3_SY2 @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(39,plain,
( ( ( ( sK3_SY2 @ sK6_SX0 )
= ( sK3_SY2 @ sK7_SY6 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ! [SX1: $i] :
( SX0
!= ( sK3_SY2 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(40,plain,
( ( ( ! [SX0: $i] :
~ ! [SX1: $i] :
( SX0
!= ( sK3_SY2 @ SX1 ) ) )
= $false )
| ( ( sK6_SX0 = sK7_SY6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(41,plain,
( ( ( ! [SX0: $i] :
~ ! [SX1: $i] :
( SX0
!= ( sK3_SY2 @ SX1 ) ) )
= $false )
| ( ( ( sK3_SY2 @ sK6_SX0 )
= ( sK3_SY2 @ sK7_SY6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(42,plain,
( ( ( ~ ! [SY7: $i] :
( sK8_SX0
!= ( sK3_SY2 @ SY7 ) ) )
= $false )
| ( ( sK6_SX0 = sK7_SY6 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[40]) ).
thf(43,plain,
( ( ( ~ ! [SY8: $i] :
( sK9_SX0
!= ( sK3_SY2 @ SY8 ) ) )
= $false )
| ( ( ( sK3_SY2 @ sK6_SX0 )
= ( sK3_SY2 @ sK7_SY6 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[41]) ).
thf(44,plain,
( ( ( ! [SY7: $i] :
( sK8_SX0
!= ( sK3_SY2 @ SY7 ) ) )
= $true )
| ( ( sK6_SX0 = sK7_SY6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(45,plain,
( ( ( ! [SY8: $i] :
( sK9_SX0
!= ( sK3_SY2 @ SY8 ) ) )
= $true )
| ( ( ( sK3_SY2 @ sK6_SX0 )
= ( sK3_SY2 @ sK7_SY6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(46,plain,
! [SV5: $i] :
( ( ( ( sK8_SX0
!= ( sK3_SY2 @ SV5 ) ) )
= $true )
| ( ( sK6_SX0 = sK7_SY6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(47,plain,
! [SV6: $i] :
( ( ( ( sK9_SX0
!= ( sK3_SY2 @ SV6 ) ) )
= $true )
| ( ( ( sK3_SY2 @ sK6_SX0 )
= ( sK3_SY2 @ sK7_SY6 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(48,plain,
! [SV5: $i] :
( ( ( sK8_SX0
= ( sK3_SY2 @ SV5 ) )
= $false )
| ( ( sK6_SX0 = sK7_SY6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(49,plain,
! [SV6: $i] :
( ( ( sK9_SX0
= ( sK3_SY2 @ SV6 ) )
= $false )
| ( ( ( sK3_SY2 @ sK6_SX0 )
= ( sK3_SY2 @ sK7_SY6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(50,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[32,49,48,34,33]) ).
thf(51,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET741^4 : TPTP v8.1.0. Released v3.6.0.
% 0.13/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 09:31:07 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.21/0.36
% 0.21/0.36 No.of.Axioms: 0
% 0.21/0.36
% 0.21/0.36 Length.of.Defs: 1520
% 0.21/0.36
% 0.21/0.36 Contains.Choice.Funs: false
% 0.21/0.36 (rf:0,axioms:0,ps:3,u:6,ude:false,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)..
% 0.21/0.41
% 0.21/0.41 ********************************
% 0.21/0.41 * All subproblems solved! *
% 0.21/0.41 ********************************
% 0.21/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:false,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:50,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.21/0.41
% 0.21/0.41 %**** Beginning of derivation protocol ****
% 0.21/0.41 % SZS output start CNFRefutation
% See solution above
% 0.21/0.41
% 0.21/0.41 %**** End of derivation protocol ****
% 0.21/0.41 %**** no. of clauses in derivation: 51 ****
% 0.21/0.41 %**** clause counter: 50 ****
% 0.21/0.41
% 0.21/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:false,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:50,loop_count:0,foatp_calls:1,translation:fof_full)
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