TSTP Solution File: SYN075+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN075+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n023.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 : Thu Jul 21 08:23:22 EDT 2022
% Result : Theorem 0.19s 0.42s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of formulae : 74 ( 33 unt; 6 typ; 0 def)
% Number of atoms : 480 ( 267 equ; 0 cnn)
% Maximal formula atoms : 3 ( 7 avg)
% Number of connectives : 834 ( 192 ~; 172 |; 12 &; 448 @)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 180 ( 0 ^ 168 !; 12 ?; 180 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_big_f,type,
big_f: $i > $i > $o ).
thf(tp_sK1_Y,type,
sK1_Y: $i > $i ).
thf(tp_sK2_SY10,type,
sK2_SY10: $i > $i ).
thf(tp_sK3_SY9,type,
sK3_SY9: $i > $i > $i ).
thf(tp_sK4_Z,type,
sK4_Z: $i ).
thf(tp_sK5_SY15,type,
sK5_SY15: $i ).
thf(1,axiom,
? [Z: $i,W: $i] :
! [X: $i,Y: $i] :
( ( big_f @ X @ Y )
<=> ( ( X = Z )
& ( Y = W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel52_1) ).
thf(2,conjecture,
? [W: $i] :
! [Y: $i] :
( ? [Z: $i] :
! [X: $i] :
( ( big_f @ X @ Y )
<=> ( X = Z ) )
<=> ( Y = W ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel52) ).
thf(3,negated_conjecture,
( ( ? [W: $i] :
! [Y: $i] :
( ? [Z: $i] :
! [X: $i] :
( ( big_f @ X @ Y )
<=> ( X = Z ) )
<=> ( Y = W ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,plain,
( ( ? [W: $i] :
! [Y: $i] :
( ? [Z: $i] :
! [X: $i] :
( ( big_f @ X @ Y )
<=> ( X = Z ) )
<=> ( Y = W ) ) )
= $false ),
inference(unfold_def,[status(thm)],[3]) ).
thf(5,plain,
( ( ? [Z: $i,W: $i] :
! [X: $i,Y: $i] :
( ( big_f @ X @ Y )
<=> ( ( X = Z )
& ( Y = W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(6,plain,
( ( ~ ? [W: $i] :
! [Y: $i] :
( ? [Z: $i] :
! [X: $i] :
( ( big_f @ X @ Y )
<=> ( X = Z ) )
<=> ( Y = W ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ! [W: $i] :
( ( ( ( sK1_Y @ W )
!= W )
| ! [SY8: $i] :
( ( ( ( sK3_SY9 @ SY8 @ W )
!= SY8 )
| ~ ( big_f @ ( sK3_SY9 @ SY8 @ W ) @ ( sK1_Y @ W ) ) )
& ( ( ( sK3_SY9 @ SY8 @ W )
= SY8 )
| ( big_f @ ( sK3_SY9 @ SY8 @ W ) @ ( sK1_Y @ W ) ) ) ) )
& ( ( ( sK1_Y @ W )
= W )
| ( ! [SY13: $i] :
( ( SY13
!= ( sK2_SY10 @ W ) )
| ( big_f @ SY13 @ ( sK1_Y @ W ) ) )
& ! [SY14: $i] :
( ~ ( big_f @ SY14 @ ( sK1_Y @ W ) )
| ( SY14
= ( sK2_SY10 @ W ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY22: $i,SY23: $i] :
( ( SY22 != sK4_Z )
| ( SY23 != sK5_SY15 )
| ( big_f @ SY22 @ SY23 ) )
& ! [SY18: $i] :
( ! [Y: $i] :
~ ( big_f @ SY18 @ Y )
| ( SY18 = sK4_Z ) )
& ! [SY26: $i,SY27: $i] :
( ~ ( big_f @ SY26 @ SY27 )
| ( SY27 = sK5_SY15 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(9,plain,
( ( ! [SY22: $i,SY23: $i] :
( ( SY22 != sK4_Z )
| ( SY23 != sK5_SY15 )
| ( big_f @ SY22 @ SY23 ) )
& ! [SY18: $i] :
( ! [Y: $i] :
~ ( big_f @ SY18 @ Y )
| ( SY18 = sK4_Z ) )
& ! [SY26: $i,SY27: $i] :
( ~ ( big_f @ SY26 @ SY27 )
| ( SY27 = sK5_SY15 ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [W: $i] :
( ( ( ( sK1_Y @ W )
!= W )
| ! [SY8: $i] :
( ( ( ( sK3_SY9 @ SY8 @ W )
!= SY8 )
| ~ ( big_f @ ( sK3_SY9 @ SY8 @ W ) @ ( sK1_Y @ W ) ) )
& ( ( ( sK3_SY9 @ SY8 @ W )
= SY8 )
| ( big_f @ ( sK3_SY9 @ SY8 @ W ) @ ( sK1_Y @ W ) ) ) ) )
& ( ( ( sK1_Y @ W )
= W )
| ( ! [SY13: $i] :
( ( SY13
!= ( sK2_SY10 @ W ) )
| ( big_f @ SY13 @ ( sK1_Y @ W ) ) )
& ! [SY14: $i] :
( ~ ( big_f @ SY14 @ ( sK1_Y @ W ) )
| ( SY14
= ( sK2_SY10 @ W ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != sK4_Z )
| ( SX1 != sK5_SY15 )
| ( big_f @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( big_f @ SX0 @ SX1 )
| ( SX0 = sK4_Z ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( big_f @ SX0 @ SX1 )
| ( SX1 = sK5_SY15 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(12,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ( ( sK1_Y @ SX0 )
!= SX0 )
| ! [SX1: $i] :
~ ( ~ ( ( ( sK3_SY9 @ SX1 @ SX0 )
!= SX1 )
| ~ ( big_f @ ( sK3_SY9 @ SX1 @ SX0 ) @ ( sK1_Y @ SX0 ) ) )
| ~ ( ( ( sK3_SY9 @ SX1 @ SX0 )
= SX1 )
| ( big_f @ ( sK3_SY9 @ SX1 @ SX0 ) @ ( sK1_Y @ SX0 ) ) ) ) )
| ~ ( ( ( sK1_Y @ SX0 )
= SX0 )
| ~ ( ~ ! [SX1: $i] :
( ( SX1
!= ( sK2_SY10 @ SX0 ) )
| ( big_f @ SX1 @ ( sK1_Y @ SX0 ) ) )
| ~ ! [SX1: $i] :
( ~ ( big_f @ SX1 @ ( sK1_Y @ SX0 ) )
| ( SX1
= ( sK2_SY10 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != sK4_Z )
| ( SX1 != sK5_SY15 )
| ( big_f @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( big_f @ SX0 @ SX1 )
| ( SX0 = sK4_Z ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( big_f @ SX0 @ SX1 )
| ( SX1 = sK5_SY15 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(14,plain,
! [SV1: $i] :
( ( ~ ( ~ ( ( ( sK1_Y @ SV1 )
!= SV1 )
| ! [SY28: $i] :
~ ( ~ ( ( ( sK3_SY9 @ SY28 @ SV1 )
!= SY28 )
| ~ ( big_f @ ( sK3_SY9 @ SY28 @ SV1 ) @ ( sK1_Y @ SV1 ) ) )
| ~ ( ( ( sK3_SY9 @ SY28 @ SV1 )
= SY28 )
| ( big_f @ ( sK3_SY9 @ SY28 @ SV1 ) @ ( sK1_Y @ SV1 ) ) ) ) )
| ~ ( ( ( sK1_Y @ SV1 )
= SV1 )
| ~ ( ~ ! [SY29: $i] :
( ( SY29
!= ( sK2_SY10 @ SV1 ) )
| ( big_f @ SY29 @ ( sK1_Y @ SV1 ) ) )
| ~ ! [SY30: $i] :
( ~ ( big_f @ SY30 @ ( sK1_Y @ SV1 ) )
| ( SY30
= ( sK2_SY10 @ SV1 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != sK4_Z )
| ( SX1 != sK5_SY15 )
| ( big_f @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( big_f @ SX0 @ SX1 )
| ( SX0 = sK4_Z ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( big_f @ SX0 @ SX1 )
| ( SX1 = sK5_SY15 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(17,plain,
! [SV1: $i] :
( ( ~ ( ( ( sK1_Y @ SV1 )
!= SV1 )
| ! [SY28: $i] :
~ ( ~ ( ( ( sK3_SY9 @ SY28 @ SV1 )
!= SY28 )
| ~ ( big_f @ ( sK3_SY9 @ SY28 @ SV1 ) @ ( sK1_Y @ SV1 ) ) )
| ~ ( ( ( sK3_SY9 @ SY28 @ SV1 )
= SY28 )
| ( big_f @ ( sK3_SY9 @ SY28 @ SV1 ) @ ( sK1_Y @ SV1 ) ) ) ) )
| ~ ( ( ( sK1_Y @ SV1 )
= SV1 )
| ~ ( ~ ! [SY29: $i] :
( ( SY29
!= ( sK2_SY10 @ SV1 ) )
| ( big_f @ SY29 @ ( sK1_Y @ SV1 ) ) )
| ~ ! [SY30: $i] :
( ~ ( big_f @ SY30 @ ( sK1_Y @ SV1 ) )
| ( SY30
= ( sK2_SY10 @ SV1 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(18,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != sK4_Z )
| ( SX1 != sK5_SY15 )
| ( big_f @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( big_f @ SX0 @ SX1 )
| ( SX0 = sK4_Z ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( big_f @ SX0 @ SX1 )
| ( SX1 = sK5_SY15 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV1: $i] :
( ( ~ ( ( ( sK1_Y @ SV1 )
!= SV1 )
| ! [SY28: $i] :
~ ( ~ ( ( ( sK3_SY9 @ SY28 @ SV1 )
!= SY28 )
| ~ ( big_f @ ( sK3_SY9 @ SY28 @ SV1 ) @ ( sK1_Y @ SV1 ) ) )
| ~ ( ( ( sK3_SY9 @ SY28 @ SV1 )
= SY28 )
| ( big_f @ ( sK3_SY9 @ SY28 @ SV1 ) @ ( sK1_Y @ SV1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: $i] :
( ( ~ ( ( ( sK1_Y @ SV1 )
= SV1 )
| ~ ( ~ ! [SY29: $i] :
( ( SY29
!= ( sK2_SY10 @ SV1 ) )
| ( big_f @ SY29 @ ( sK1_Y @ SV1 ) ) )
| ~ ! [SY30: $i] :
( ~ ( big_f @ SY30 @ ( sK1_Y @ SV1 ) )
| ( SY30
= ( sK2_SY10 @ SV1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(22,plain,
! [SV2: $i] :
( ( ! [SY31: $i] :
( ( SV2 != sK4_Z )
| ( SY31 != sK5_SY15 )
| ( big_f @ SV2 @ SY31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(23,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( big_f @ SX0 @ SX1 )
| ( SX0 = sK4_Z ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( big_f @ SX0 @ SX1 )
| ( SX1 = sK5_SY15 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV1: $i] :
( ( ( ( sK1_Y @ SV1 )
!= SV1 )
| ! [SY28: $i] :
~ ( ~ ( ( ( sK3_SY9 @ SY28 @ SV1 )
!= SY28 )
| ~ ( big_f @ ( sK3_SY9 @ SY28 @ SV1 ) @ ( sK1_Y @ SV1 ) ) )
| ~ ( ( ( sK3_SY9 @ SY28 @ SV1 )
= SY28 )
| ( big_f @ ( sK3_SY9 @ SY28 @ SV1 ) @ ( sK1_Y @ SV1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(25,plain,
! [SV1: $i] :
( ( ( ( sK1_Y @ SV1 )
= SV1 )
| ~ ( ~ ! [SY29: $i] :
( ( SY29
!= ( sK2_SY10 @ SV1 ) )
| ( big_f @ SY29 @ ( sK1_Y @ SV1 ) ) )
| ~ ! [SY30: $i] :
( ~ ( big_f @ SY30 @ ( sK1_Y @ SV1 ) )
| ( SY30
= ( sK2_SY10 @ SV1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
! [SV3: $i,SV2: $i] :
( ( ( SV2 != sK4_Z )
| ( SV3 != sK5_SY15 )
| ( big_f @ SV2 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(27,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( big_f @ SX0 @ SX1 )
| ( SX0 = sK4_Z ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( big_f @ SX0 @ SX1 )
| ( SX1 = sK5_SY15 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(29,plain,
! [SV1: $i] :
( ( ( ( ( sK1_Y @ SV1 )
!= SV1 ) )
= $true )
| ( ( ! [SY28: $i] :
~ ( ~ ( ( ( sK3_SY9 @ SY28 @ SV1 )
!= SY28 )
| ~ ( big_f @ ( sK3_SY9 @ SY28 @ SV1 ) @ ( sK1_Y @ SV1 ) ) )
| ~ ( ( ( sK3_SY9 @ SY28 @ SV1 )
= SY28 )
| ( big_f @ ( sK3_SY9 @ SY28 @ SV1 ) @ ( sK1_Y @ SV1 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(30,plain,
! [SV1: $i] :
( ( ( ( sK1_Y @ SV1 )
= SV1 )
= $true )
| ( ( ~ ( ~ ! [SY29: $i] :
( ( SY29
!= ( sK2_SY10 @ SV1 ) )
| ( big_f @ SY29 @ ( sK1_Y @ SV1 ) ) )
| ~ ! [SY30: $i] :
( ~ ( big_f @ SY30 @ ( sK1_Y @ SV1 ) )
| ( SY30
= ( sK2_SY10 @ SV1 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(31,plain,
! [SV3: $i,SV2: $i] :
( ( ( ( SV2 != sK4_Z )
| ( SV3 != sK5_SY15 ) )
= $true )
| ( ( big_f @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(32,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( big_f @ SX0 @ SX1 )
| ( SX0 = sK4_Z ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(33,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( big_f @ SX0 @ SX1 )
| ( SX1 = sK5_SY15 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(34,plain,
! [SV1: $i] :
( ( ( ( sK1_Y @ SV1 )
= SV1 )
= $false )
| ( ( ! [SY28: $i] :
~ ( ~ ( ( ( sK3_SY9 @ SY28 @ SV1 )
!= SY28 )
| ~ ( big_f @ ( sK3_SY9 @ SY28 @ SV1 ) @ ( sK1_Y @ SV1 ) ) )
| ~ ( ( ( sK3_SY9 @ SY28 @ SV1 )
= SY28 )
| ( big_f @ ( sK3_SY9 @ SY28 @ SV1 ) @ ( sK1_Y @ SV1 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(35,plain,
! [SV1: $i] :
( ( ( ~ ! [SY29: $i] :
( ( SY29
!= ( sK2_SY10 @ SV1 ) )
| ( big_f @ SY29 @ ( sK1_Y @ SV1 ) ) )
| ~ ! [SY30: $i] :
( ~ ( big_f @ SY30 @ ( sK1_Y @ SV1 ) )
| ( SY30
= ( sK2_SY10 @ SV1 ) ) ) )
= $false )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(36,plain,
! [SV3: $i,SV2: $i] :
( ( ( ( SV2 != sK4_Z ) )
= $true )
| ( ( ( SV3 != sK5_SY15 ) )
= $true )
| ( ( big_f @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(37,plain,
! [SV4: $i] :
( ( ! [SY32: $i] :
~ ( big_f @ SV4 @ SY32 )
| ( SV4 = sK4_Z ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(38,plain,
! [SV5: $i] :
( ( ! [SY33: $i] :
( ~ ( big_f @ SV5 @ SY33 )
| ( SY33 = sK5_SY15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(39,plain,
! [SV1: $i,SV6: $i] :
( ( ( ~ ( ~ ( ( ( sK3_SY9 @ SV6 @ SV1 )
!= SV6 )
| ~ ( big_f @ ( sK3_SY9 @ SV6 @ SV1 ) @ ( sK1_Y @ SV1 ) ) )
| ~ ( ( ( sK3_SY9 @ SV6 @ SV1 )
= SV6 )
| ( big_f @ ( sK3_SY9 @ SV6 @ SV1 ) @ ( sK1_Y @ SV1 ) ) ) ) )
= $true )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(40,plain,
! [SV1: $i] :
( ( ( ~ ! [SY29: $i] :
( ( SY29
!= ( sK2_SY10 @ SV1 ) )
| ( big_f @ SY29 @ ( sK1_Y @ SV1 ) ) ) )
= $false )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(41,plain,
! [SV1: $i] :
( ( ( ~ ! [SY30: $i] :
( ~ ( big_f @ SY30 @ ( sK1_Y @ SV1 ) )
| ( SY30
= ( sK2_SY10 @ SV1 ) ) ) )
= $false )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(42,plain,
! [SV3: $i,SV2: $i] :
( ( ( SV2 = sK4_Z )
= $false )
| ( ( ( SV3 != sK5_SY15 ) )
= $true )
| ( ( big_f @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(43,plain,
! [SV4: $i] :
( ( ( ! [SY32: $i] :
~ ( big_f @ SV4 @ SY32 ) )
= $true )
| ( ( SV4 = sK4_Z )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(44,plain,
! [SV7: $i,SV5: $i] :
( ( ~ ( big_f @ SV5 @ SV7 )
| ( SV7 = sK5_SY15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(45,plain,
! [SV1: $i,SV6: $i] :
( ( ( ~ ( ( ( sK3_SY9 @ SV6 @ SV1 )
!= SV6 )
| ~ ( big_f @ ( sK3_SY9 @ SV6 @ SV1 ) @ ( sK1_Y @ SV1 ) ) )
| ~ ( ( ( sK3_SY9 @ SV6 @ SV1 )
= SV6 )
| ( big_f @ ( sK3_SY9 @ SV6 @ SV1 ) @ ( sK1_Y @ SV1 ) ) ) )
= $false )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(46,plain,
! [SV1: $i] :
( ( ( ! [SY29: $i] :
( ( SY29
!= ( sK2_SY10 @ SV1 ) )
| ( big_f @ SY29 @ ( sK1_Y @ SV1 ) ) ) )
= $true )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(47,plain,
! [SV1: $i] :
( ( ( ! [SY30: $i] :
( ~ ( big_f @ SY30 @ ( sK1_Y @ SV1 ) )
| ( SY30
= ( sK2_SY10 @ SV1 ) ) ) )
= $true )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(48,plain,
! [SV2: $i,SV3: $i] :
( ( ( SV3 = sK5_SY15 )
= $false )
| ( ( SV2 = sK4_Z )
= $false )
| ( ( big_f @ SV2 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(49,plain,
! [SV8: $i,SV4: $i] :
( ( ( ~ ( big_f @ SV4 @ SV8 ) )
= $true )
| ( ( SV4 = sK4_Z )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(50,plain,
! [SV7: $i,SV5: $i] :
( ( ( ~ ( big_f @ SV5 @ SV7 ) )
= $true )
| ( ( SV7 = sK5_SY15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(51,plain,
! [SV1: $i,SV6: $i] :
( ( ( ~ ( ( ( sK3_SY9 @ SV6 @ SV1 )
!= SV6 )
| ~ ( big_f @ ( sK3_SY9 @ SV6 @ SV1 ) @ ( sK1_Y @ SV1 ) ) ) )
= $false )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(52,plain,
! [SV1: $i,SV6: $i] :
( ( ( ~ ( ( ( sK3_SY9 @ SV6 @ SV1 )
= SV6 )
| ( big_f @ ( sK3_SY9 @ SV6 @ SV1 ) @ ( sK1_Y @ SV1 ) ) ) )
= $false )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(53,plain,
! [SV1: $i,SV9: $i] :
( ( ( ( SV9
!= ( sK2_SY10 @ SV1 ) )
| ( big_f @ SV9 @ ( sK1_Y @ SV1 ) ) )
= $true )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(54,plain,
! [SV1: $i,SV10: $i] :
( ( ( ~ ( big_f @ SV10 @ ( sK1_Y @ SV1 ) )
| ( SV10
= ( sK2_SY10 @ SV1 ) ) )
= $true )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(55,plain,
! [SV8: $i,SV4: $i] :
( ( ( big_f @ SV4 @ SV8 )
= $false )
| ( ( SV4 = sK4_Z )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(56,plain,
! [SV7: $i,SV5: $i] :
( ( ( big_f @ SV5 @ SV7 )
= $false )
| ( ( SV7 = sK5_SY15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(57,plain,
! [SV1: $i,SV6: $i] :
( ( ( ( ( sK3_SY9 @ SV6 @ SV1 )
!= SV6 )
| ~ ( big_f @ ( sK3_SY9 @ SV6 @ SV1 ) @ ( sK1_Y @ SV1 ) ) )
= $true )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(58,plain,
! [SV1: $i,SV6: $i] :
( ( ( ( ( sK3_SY9 @ SV6 @ SV1 )
= SV6 )
| ( big_f @ ( sK3_SY9 @ SV6 @ SV1 ) @ ( sK1_Y @ SV1 ) ) )
= $true )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(59,plain,
! [SV1: $i,SV9: $i] :
( ( ( ( SV9
!= ( sK2_SY10 @ SV1 ) ) )
= $true )
| ( ( big_f @ SV9 @ ( sK1_Y @ SV1 ) )
= $true )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(60,plain,
! [SV1: $i,SV10: $i] :
( ( ( ~ ( big_f @ SV10 @ ( sK1_Y @ SV1 ) ) )
= $true )
| ( ( SV10
= ( sK2_SY10 @ SV1 ) )
= $true )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(61,plain,
! [SV1: $i,SV6: $i] :
( ( ( ( ( sK3_SY9 @ SV6 @ SV1 )
!= SV6 ) )
= $true )
| ( ( ~ ( big_f @ ( sK3_SY9 @ SV6 @ SV1 ) @ ( sK1_Y @ SV1 ) ) )
= $true )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(62,plain,
! [SV1: $i,SV6: $i] :
( ( ( ( sK3_SY9 @ SV6 @ SV1 )
= SV6 )
= $true )
| ( ( big_f @ ( sK3_SY9 @ SV6 @ SV1 ) @ ( sK1_Y @ SV1 ) )
= $true )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(63,plain,
! [SV1: $i,SV9: $i] :
( ( ( SV9
= ( sK2_SY10 @ SV1 ) )
= $false )
| ( ( big_f @ SV9 @ ( sK1_Y @ SV1 ) )
= $true )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(64,plain,
! [SV1: $i,SV10: $i] :
( ( ( big_f @ SV10 @ ( sK1_Y @ SV1 ) )
= $false )
| ( ( SV10
= ( sK2_SY10 @ SV1 ) )
= $true )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(65,plain,
! [SV1: $i,SV6: $i] :
( ( ( ( sK3_SY9 @ SV6 @ SV1 )
= SV6 )
= $false )
| ( ( ~ ( big_f @ ( sK3_SY9 @ SV6 @ SV1 ) @ ( sK1_Y @ SV1 ) ) )
= $true )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(66,plain,
! [SV1: $i,SV6: $i] :
( ( ( big_f @ ( sK3_SY9 @ SV6 @ SV1 ) @ ( sK1_Y @ SV1 ) )
= $false )
| ( ( ( sK3_SY9 @ SV6 @ SV1 )
= SV6 )
= $false )
| ( ( ( sK1_Y @ SV1 )
= SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(67,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[48,66,64,63,62,56,55]) ).
thf(68,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN075+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 05:54:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 1
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3,loop_count:0,foatp_calls:0,translation:fof_full).....
% 0.19/0.42
% 0.19/0.42 ********************************
% 0.19/0.42 * All subproblems solved! *
% 0.19/0.42 ********************************
% 0.19/0.42 % SZS status Theorem for /export/starexec/sandbox2/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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:67,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.42
% 0.19/0.42 %**** Beginning of derivation protocol ****
% 0.19/0.42 % SZS output start CNFRefutation
% See solution above
% 0.19/0.42
% 0.19/0.42 %**** End of derivation protocol ****
% 0.19/0.42 %**** no. of clauses in derivation: 68 ****
% 0.19/0.42 %**** clause counter: 67 ****
% 0.19/0.42
% 0.19/0.42 % SZS status Theorem for /export/starexec/sandbox2/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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:67,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------