TSTP Solution File: SEU610^2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU610^2 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n016.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 12:13:20 EDT 2022
% Result : Theorem 0.19s 0.40s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 16
% Syntax : Number of formulae : 87 ( 40 unt; 11 typ; 4 def)
% Number of atoms : 495 ( 195 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 731 ( 133 ~; 137 |; 6 &; 414 @)
% ( 3 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 220 ( 0 ^ 220 !; 0 ?; 220 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_emptyset,type,
emptyset: $i ).
thf(tp_emptysetE,type,
emptysetE: $o ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_in__Cong,type,
in__Cong: $o ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY16,type,
sK2_SY16: $i ).
thf(tp_sK3_Xx,type,
sK3_Xx: $i > $i > $i ).
thf(tp_setminus,type,
setminus: $i > $i > $i ).
thf(tp_setminusI,type,
setminusI: $o ).
thf(tp_subset,type,
subset: $i > $i > $o ).
thf(tp_subsetI2,type,
subsetI2: $o ).
thf(emptysetE,definition,
( emptysetE
= ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetE) ).
thf(in__Cong,definition,
( in__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in__Cong) ).
thf(setminusI,definition,
( setminusI
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ B )
=> ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusI) ).
thf(subsetI2,definition,
( subsetI2
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetI2) ).
thf(1,conjecture,
( emptysetE
=> ( in__Cong
=> ( subsetI2
=> ( setminusI
=> ! [A: $i,B: $i] :
( ( ( setminus @ A @ B )
= emptyset )
=> ( subset @ A @ B ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setminusSubset1) ).
thf(2,negated_conjecture,
( ( emptysetE
=> ( in__Cong
=> ( subsetI2
=> ( setminusI
=> ! [A: $i,B: $i] :
( ( ( setminus @ A @ B )
= emptyset )
=> ( subset @ A @ B ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi )
=> ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) )
=> ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) )
=> ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ B )
=> ( in @ Xx @ ( setminus @ A @ B ) ) ) )
=> ! [A: $i,B: $i] :
( ( ( setminus @ A @ B )
= emptyset )
=> ( subset @ A @ B ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,emptysetE,in__Cong,setminusI,subsetI2]) ).
thf(4,plain,
( ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ B )
=> ( in @ Xx @ ( setminus @ A @ B ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ! [A: $i,B: $i] :
( ( ( setminus @ A @ B )
= emptyset )
=> ( subset @ A @ B ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(9,plain,
( ( ~ ! [A: $i,B: $i] :
( ( ( setminus @ A @ B )
= emptyset )
=> ( subset @ A @ B ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(10,plain,
( ( ( ( setminus @ sK1_A @ sK2_SY16 )
= emptyset )
& ~ ( subset @ sK1_A @ sK2_SY16 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(11,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset )
| ! [Xphi: $o] : Xphi )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(12,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ~ ( in @ Xx @ A )
| ( in @ Xy @ B ) )
& ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ~ ( in @ Xy @ B )
| ( in @ Xx @ A ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(13,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK3_Xx @ B @ A ) @ A )
& ~ ( in @ ( sK3_Xx @ B @ A ) @ B ) )
| ( subset @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(14,plain,
( ( ! [A: $i,B: $i,Xx: $i] :
( ~ ( in @ Xx @ A )
| ( in @ Xx @ B )
| ( in @ Xx @ ( setminus @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(15,plain,
( ( ! [A: $i,B: $i,Xx: $i] :
( ~ ( in @ Xx @ A )
| ( in @ Xx @ B )
| ( in @ Xx @ ( setminus @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(16,plain,
( ( ! [A: $i,B: $i] :
( ( ( in @ ( sK3_Xx @ B @ A ) @ A )
& ~ ( in @ ( sK3_Xx @ B @ A ) @ B ) )
| ( subset @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(17,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ( ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ~ ( in @ Xx @ A )
| ( in @ Xy @ B ) )
& ! [Xx: $i,Xy: $i] :
( ( Xx != Xy )
| ~ ( in @ Xy @ B )
| ( in @ Xx @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(18,plain,
( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset )
| ! [Xphi: $o] : Xphi )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(19,plain,
( ( ( ( setminus @ sK1_A @ sK2_SY16 )
= emptyset )
& ~ ( subset @ sK1_A @ sK2_SY16 ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(20,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( in @ ( sK3_Xx @ SX1 @ SX0 ) @ SX0 )
| ~ ~ ( in @ ( sK3_Xx @ SX1 @ SX0 ) @ SX1 ) )
| ( subset @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16,emptysetE,in__Cong,setminusI,subsetI2]) ).
thf(21,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ~ ( ~ ! [SX2: $i,SX3: $i] :
( ( SX2 != SX3 )
| ~ ( in @ SX2 @ SX0 )
| ( in @ SX3 @ SX1 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( SX2 != SX3 )
| ~ ( in @ SX3 @ SX1 )
| ( in @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17,emptysetE,in__Cong,setminusI,subsetI2]) ).
thf(22,plain,
( ( ~ ( ( ( setminus @ sK1_A @ sK2_SY16 )
!= emptyset )
| ~ ~ ( subset @ sK1_A @ sK2_SY16 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19,emptysetE,in__Cong,setminusI,subsetI2]) ).
thf(23,plain,
! [SV1: $i] :
( ( ! [SY17: $i,SY18: $i] :
( ~ ( in @ SY18 @ SV1 )
| ( in @ SY18 @ SY17 )
| ( in @ SY18 @ ( setminus @ SV1 @ SY17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(24,plain,
( ( ( ! [Xx: $i] :
~ ( in @ Xx @ emptyset ) )
= $true )
| ( ( ! [Xphi: $o] : Xphi )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(25,plain,
! [SV2: $i] :
( ( ! [SY19: $i] :
( ~ ( ~ ( in @ ( sK3_Xx @ SY19 @ SV2 ) @ SV2 )
| ~ ~ ( in @ ( sK3_Xx @ SY19 @ SV2 ) @ SY19 ) )
| ( subset @ SV2 @ SY19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(26,plain,
! [SV3: $i] :
( ( ! [SY20: $i] :
( ( SV3 != SY20 )
| ~ ( ~ ! [SY21: $i,SY22: $i] :
( ( SY21 != SY22 )
| ~ ( in @ SY21 @ SV3 )
| ( in @ SY22 @ SY20 ) )
| ~ ! [SY23: $i,SY24: $i] :
( ( SY23 != SY24 )
| ~ ( in @ SY24 @ SY20 )
| ( in @ SY23 @ SV3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(27,plain,
( ( ( ( setminus @ sK1_A @ sK2_SY16 )
!= emptyset )
| ~ ~ ( subset @ sK1_A @ sK2_SY16 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(28,plain,
! [SV4: $i,SV1: $i] :
( ( ! [SY25: $i] :
( ~ ( in @ SY25 @ SV1 )
| ( in @ SY25 @ SV4 )
| ( in @ SY25 @ ( setminus @ SV1 @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(29,plain,
! [SV5: $i] :
( ( ( ~ ( in @ SV5 @ emptyset ) )
= $true )
| ( ( ! [Xphi: $o] : Xphi )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(30,plain,
! [SV2: $i,SV6: $i] :
( ( ~ ( ~ ( in @ ( sK3_Xx @ SV6 @ SV2 ) @ SV2 )
| ~ ~ ( in @ ( sK3_Xx @ SV6 @ SV2 ) @ SV6 ) )
| ( subset @ SV2 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(31,plain,
! [SV7: $i,SV3: $i] :
( ( ( SV3 != SV7 )
| ~ ( ~ ! [SY26: $i,SY27: $i] :
( ( SY26 != SY27 )
| ~ ( in @ SY26 @ SV3 )
| ( in @ SY27 @ SV7 ) )
| ~ ! [SY28: $i,SY29: $i] :
( ( SY28 != SY29 )
| ~ ( in @ SY29 @ SV7 )
| ( in @ SY28 @ SV3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(32,plain,
( ( ( ( setminus @ sK1_A @ sK2_SY16 )
!= emptyset ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(33,plain,
( ( ~ ~ ( subset @ sK1_A @ sK2_SY16 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(34,plain,
! [SV4: $i,SV1: $i,SV8: $i] :
( ( ~ ( in @ SV8 @ SV1 )
| ( in @ SV8 @ SV4 )
| ( in @ SV8 @ ( setminus @ SV1 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(35,plain,
! [SV5: $i] :
( ( ( in @ SV5 @ emptyset )
= $false )
| ( ( ! [Xphi: $o] : Xphi )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(36,plain,
! [SV2: $i,SV6: $i] :
( ( ( ~ ( ~ ( in @ ( sK3_Xx @ SV6 @ SV2 ) @ SV2 )
| ~ ~ ( in @ ( sK3_Xx @ SV6 @ SV2 ) @ SV6 ) ) )
= $true )
| ( ( subset @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(37,plain,
! [SV7: $i,SV3: $i] :
( ( ( ( SV3 != SV7 ) )
= $true )
| ( ( ~ ( ~ ! [SY26: $i,SY27: $i] :
( ( SY26 != SY27 )
| ~ ( in @ SY26 @ SV3 )
| ( in @ SY27 @ SV7 ) )
| ~ ! [SY28: $i,SY29: $i] :
( ( SY28 != SY29 )
| ~ ( in @ SY29 @ SV7 )
| ( in @ SY28 @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(38,plain,
( ( ( setminus @ sK1_A @ sK2_SY16 )
= emptyset )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(39,plain,
( ( ~ ( subset @ sK1_A @ sK2_SY16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(40,plain,
! [SV4: $i,SV1: $i,SV8: $i] :
( ( ( ~ ( in @ SV8 @ SV1 ) )
= $true )
| ( ( ( in @ SV8 @ SV4 )
| ( in @ SV8 @ ( setminus @ SV1 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(41,plain,
! [SV5: $i,SV9: $o] :
( ( SV9 = $true )
| ( ( in @ SV5 @ emptyset )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[35]) ).
thf(42,plain,
! [SV5: $i] :
( ( $true = $true )
| ( ( in @ SV5 @ emptyset )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[35]) ).
thf(43,plain,
! [SV5: $i] :
( ( $false = $true )
| ( ( in @ SV5 @ emptyset )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[35]) ).
thf(44,plain,
! [SV2: $i,SV6: $i] :
( ( ( ~ ( in @ ( sK3_Xx @ SV6 @ SV2 ) @ SV2 )
| ~ ~ ( in @ ( sK3_Xx @ SV6 @ SV2 ) @ SV6 ) )
= $false )
| ( ( subset @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(45,plain,
! [SV7: $i,SV3: $i] :
( ( ( SV3 = SV7 )
= $false )
| ( ( ~ ( ~ ! [SY26: $i,SY27: $i] :
( ( SY26 != SY27 )
| ~ ( in @ SY26 @ SV3 )
| ( in @ SY27 @ SV7 ) )
| ~ ! [SY28: $i,SY29: $i] :
( ( SY28 != SY29 )
| ~ ( in @ SY29 @ SV7 )
| ( in @ SY28 @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(46,plain,
( ( subset @ sK1_A @ sK2_SY16 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(47,plain,
! [SV4: $i,SV1: $i,SV8: $i] :
( ( ( in @ SV8 @ SV1 )
= $false )
| ( ( ( in @ SV8 @ SV4 )
| ( in @ SV8 @ ( setminus @ SV1 @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(48,plain,
! [SV2: $i,SV6: $i] :
( ( ( ~ ( in @ ( sK3_Xx @ SV6 @ SV2 ) @ SV2 ) )
= $false )
| ( ( subset @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(49,plain,
! [SV2: $i,SV6: $i] :
( ( ( ~ ~ ( in @ ( sK3_Xx @ SV6 @ SV2 ) @ SV6 ) )
= $false )
| ( ( subset @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(50,plain,
! [SV7: $i,SV3: $i] :
( ( ( ~ ! [SY26: $i,SY27: $i] :
( ( SY26 != SY27 )
| ~ ( in @ SY26 @ SV3 )
| ( in @ SY27 @ SV7 ) )
| ~ ! [SY28: $i,SY29: $i] :
( ( SY28 != SY29 )
| ~ ( in @ SY29 @ SV7 )
| ( in @ SY28 @ SV3 ) ) )
= $false )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(51,plain,
! [SV1: $i,SV4: $i,SV8: $i] :
( ( ( in @ SV8 @ SV4 )
= $true )
| ( ( in @ SV8 @ ( setminus @ SV1 @ SV4 ) )
= $true )
| ( ( in @ SV8 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(52,plain,
! [SV2: $i,SV6: $i] :
( ( ( in @ ( sK3_Xx @ SV6 @ SV2 ) @ SV2 )
= $true )
| ( ( subset @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(53,plain,
! [SV2: $i,SV6: $i] :
( ( ( ~ ( in @ ( sK3_Xx @ SV6 @ SV2 ) @ SV6 ) )
= $true )
| ( ( subset @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(54,plain,
! [SV7: $i,SV3: $i] :
( ( ( ~ ! [SY26: $i,SY27: $i] :
( ( SY26 != SY27 )
| ~ ( in @ SY26 @ SV3 )
| ( in @ SY27 @ SV7 ) ) )
= $false )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(55,plain,
! [SV3: $i,SV7: $i] :
( ( ( ~ ! [SY28: $i,SY29: $i] :
( ( SY28 != SY29 )
| ~ ( in @ SY29 @ SV7 )
| ( in @ SY28 @ SV3 ) ) )
= $false )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(56,plain,
! [SV2: $i,SV6: $i] :
( ( ( in @ ( sK3_Xx @ SV6 @ SV2 ) @ SV6 )
= $false )
| ( ( subset @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(57,plain,
! [SV7: $i,SV3: $i] :
( ( ( ! [SY26: $i,SY27: $i] :
( ( SY26 != SY27 )
| ~ ( in @ SY26 @ SV3 )
| ( in @ SY27 @ SV7 ) ) )
= $true )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(58,plain,
! [SV3: $i,SV7: $i] :
( ( ( ! [SY28: $i,SY29: $i] :
( ( SY28 != SY29 )
| ~ ( in @ SY29 @ SV7 )
| ( in @ SY28 @ SV3 ) ) )
= $true )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(59,plain,
! [SV7: $i,SV3: $i,SV10: $i] :
( ( ( ! [SY30: $i] :
( ( SV10 != SY30 )
| ~ ( in @ SV10 @ SV3 )
| ( in @ SY30 @ SV7 ) ) )
= $true )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(60,plain,
! [SV3: $i,SV7: $i,SV11: $i] :
( ( ( ! [SY31: $i] :
( ( SV11 != SY31 )
| ~ ( in @ SY31 @ SV7 )
| ( in @ SV11 @ SV3 ) ) )
= $true )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(61,plain,
! [SV7: $i,SV3: $i,SV12: $i,SV10: $i] :
( ( ( ( SV10 != SV12 )
| ~ ( in @ SV10 @ SV3 )
| ( in @ SV12 @ SV7 ) )
= $true )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(62,plain,
! [SV3: $i,SV7: $i,SV13: $i,SV11: $i] :
( ( ( ( SV11 != SV13 )
| ~ ( in @ SV13 @ SV7 )
| ( in @ SV11 @ SV3 ) )
= $true )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(63,plain,
! [SV7: $i,SV3: $i,SV12: $i,SV10: $i] :
( ( ( ( SV10 != SV12 ) )
= $true )
| ( ( ~ ( in @ SV10 @ SV3 )
| ( in @ SV12 @ SV7 ) )
= $true )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(64,plain,
! [SV3: $i,SV7: $i,SV13: $i,SV11: $i] :
( ( ( ( SV11 != SV13 ) )
= $true )
| ( ( ~ ( in @ SV13 @ SV7 )
| ( in @ SV11 @ SV3 ) )
= $true )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(65,plain,
! [SV7: $i,SV3: $i,SV12: $i,SV10: $i] :
( ( ( SV10 = SV12 )
= $false )
| ( ( ~ ( in @ SV10 @ SV3 )
| ( in @ SV12 @ SV7 ) )
= $true )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(66,plain,
! [SV3: $i,SV7: $i,SV13: $i,SV11: $i] :
( ( ( SV11 = SV13 )
= $false )
| ( ( ~ ( in @ SV13 @ SV7 )
| ( in @ SV11 @ SV3 ) )
= $true )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(67,plain,
! [SV7: $i,SV12: $i,SV3: $i,SV10: $i] :
( ( ( ~ ( in @ SV10 @ SV3 ) )
= $true )
| ( ( in @ SV12 @ SV7 )
= $true )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(68,plain,
! [SV3: $i,SV11: $i,SV7: $i,SV13: $i] :
( ( ( ~ ( in @ SV13 @ SV7 ) )
= $true )
| ( ( in @ SV11 @ SV3 )
= $true )
| ( ( SV11 = SV13 )
= $false )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(69,plain,
! [SV7: $i,SV12: $i,SV3: $i,SV10: $i] :
( ( ( in @ SV10 @ SV3 )
= $false )
| ( ( in @ SV12 @ SV7 )
= $true )
| ( ( SV10 = SV12 )
= $false )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(70,plain,
! [SV3: $i,SV11: $i,SV7: $i,SV13: $i] :
( ( ( in @ SV13 @ SV7 )
= $false )
| ( ( in @ SV11 @ SV3 )
= $true )
| ( ( SV11 = SV13 )
= $false )
| ( ( SV3 = SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(71,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[38,70,69,56,52,51,46,43,42,41]) ).
thf(72,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU610^2 : TPTP v8.1.0. Released v3.7.0.
% 0.08/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 07:48:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 0
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 745
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.35 (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)....
% 0.19/0.40
% 0.19/0.40 ********************************
% 0.19/0.40 * All subproblems solved! *
% 0.19/0.40 ********************************
% 0.19/0.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,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:71,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.40
% 0.19/0.40 %**** Beginning of derivation protocol ****
% 0.19/0.40 % SZS output start CNFRefutation
% See solution above
% 0.19/0.40
% 0.19/0.40 %**** End of derivation protocol ****
% 0.19/0.40 %**** no. of clauses in derivation: 72 ****
% 0.19/0.40 %**** clause counter: 71 ****
% 0.19/0.40
% 0.19/0.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,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:71,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------