TSTP Solution File: SEV186^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV186^5 : 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 : n008.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 17:35:34 EDT 2022
% Result : Theorem 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 9
% Syntax : Number of formulae : 72 ( 38 unt; 8 typ; 0 def)
% Number of atoms : 416 ( 124 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 883 ( 186 ~; 155 |; 23 &; 455 @)
% ( 0 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 168 ( 168 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 205 ( 0 ^ 205 !; 0 ?; 205 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_b,type,
b: $tType ).
thf(tp_sK1_P,type,
sK1_P: ( b > $o ) > ( b > $o ) > $o ).
thf(tp_sK2_SY13,type,
sK2_SY13: ( b > $o ) > $o ).
thf(tp_sK3_SY30,type,
sK3_SY30: b > $o ).
thf(tp_sK4_SY36,type,
sK4_SY36: b > $o ).
thf(tp_sK5_SY43,type,
sK5_SY43: b ).
thf(tp_sK6_SY45,type,
sK6_SY45: b > $o ).
thf(tp_sK7_Xx0,type,
sK7_Xx0: ( b > $o ) > ( b > $o ) > ( b > $o ) > b ).
thf(1,conjecture,
! [P: ( b > $o ) > ( b > $o ) > $o,S: ( b > $o ) > $o] :
( ! [Xx: b > $o] :
( ( S @ Xx )
=> ! [X: b > $o,Y: b > $o] :
( ( ! [Xx0: b] :
( ( X @ Xx0 )
=> ( Xx @ Xx0 ) )
& ( P @ X @ Y ) )
=> ! [Xx0: b] :
( ( Y @ Xx0 )
=> ( Xx @ Xx0 ) ) ) )
=> ! [X: b > $o,Y: b > $o] :
( ( ! [Xx: b] :
( ( X @ Xx )
=> ! [S0: b > $o] :
( ( S @ S0 )
=> ( S0 @ Xx ) ) )
& ( P @ X @ Y ) )
=> ! [Xx: b] :
( ( Y @ Xx )
=> ! [S0: b > $o] :
( ( S @ S0 )
=> ( S0 @ Xx ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM565_pme) ).
thf(2,negated_conjecture,
( ( ! [P: ( b > $o ) > ( b > $o ) > $o,S: ( b > $o ) > $o] :
( ! [Xx: b > $o] :
( ( S @ Xx )
=> ! [X: b > $o,Y: b > $o] :
( ( ! [Xx0: b] :
( ( X @ Xx0 )
=> ( Xx @ Xx0 ) )
& ( P @ X @ Y ) )
=> ! [Xx0: b] :
( ( Y @ Xx0 )
=> ( Xx @ Xx0 ) ) ) )
=> ! [X: b > $o,Y: b > $o] :
( ( ! [Xx: b] :
( ( X @ Xx )
=> ! [S0: b > $o] :
( ( S @ S0 )
=> ( S0 @ Xx ) ) )
& ( P @ X @ Y ) )
=> ! [Xx: b] :
( ( Y @ Xx )
=> ! [S0: b > $o] :
( ( S @ S0 )
=> ( S0 @ Xx ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [P: ( b > $o ) > ( b > $o ) > $o,S: ( b > $o ) > $o] :
( ! [Xx: b > $o] :
( ( S @ Xx )
=> ! [X: b > $o,Y: b > $o] :
( ( ! [Xx0: b] :
( ( X @ Xx0 )
=> ( Xx @ Xx0 ) )
& ( P @ X @ Y ) )
=> ! [Xx0: b] :
( ( Y @ Xx0 )
=> ( Xx @ Xx0 ) ) ) )
=> ! [X: b > $o,Y: b > $o] :
( ( ! [Xx: b] :
( ( X @ Xx )
=> ! [S0: b > $o] :
( ( S @ S0 )
=> ( S0 @ Xx ) ) )
& ( P @ X @ Y ) )
=> ! [Xx: b] :
( ( Y @ Xx )
=> ! [S0: b > $o] :
( ( S @ S0 )
=> ( S0 @ Xx ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY13: ( b > $o ) > $o] :
( ! [SY14: b > $o] :
( ( SY13 @ SY14 )
=> ! [SY15: b > $o,SY16: b > $o] :
( ( ! [Xx0: b] :
( ( SY15 @ Xx0 )
=> ( SY14 @ Xx0 ) )
& ( sK1_P @ SY15 @ SY16 ) )
=> ! [Xx0: b] :
( ( SY16 @ Xx0 )
=> ( SY14 @ Xx0 ) ) ) )
=> ! [SY19: b > $o,SY20: b > $o] :
( ( ! [Xx: b] :
( ( SY19 @ Xx )
=> ! [S0: b > $o] :
( ( SY13 @ S0 )
=> ( S0 @ Xx ) ) )
& ( sK1_P @ SY19 @ SY20 ) )
=> ! [Xx: b] :
( ( SY20 @ Xx )
=> ! [S0: b > $o] :
( ( SY13 @ S0 )
=> ( S0 @ Xx ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY25: b > $o] :
( ( sK2_SY13 @ SY25 )
=> ! [SY15: b > $o,SY16: b > $o] :
( ( ! [Xx0: b] :
( ( SY15 @ Xx0 )
=> ( SY25 @ Xx0 ) )
& ( sK1_P @ SY15 @ SY16 ) )
=> ! [Xx0: b] :
( ( SY16 @ Xx0 )
=> ( SY25 @ Xx0 ) ) ) )
=> ! [SY30: b > $o,SY31: b > $o] :
( ( ! [SY32: b] :
( ( SY30 @ SY32 )
=> ! [SY33: b > $o] :
( ( sK2_SY13 @ SY33 )
=> ( SY33 @ SY32 ) ) )
& ( sK1_P @ SY30 @ SY31 ) )
=> ! [SY34: b] :
( ( SY31 @ SY34 )
=> ! [SY35: b > $o] :
( ( sK2_SY13 @ SY35 )
=> ( SY35 @ SY34 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY25: b > $o] :
( ( sK2_SY13 @ SY25 )
=> ! [SY15: b > $o,SY16: b > $o] :
( ( ! [Xx0: b] :
( ( SY15 @ Xx0 )
=> ( SY25 @ Xx0 ) )
& ( sK1_P @ SY15 @ SY16 ) )
=> ! [Xx0: b] :
( ( SY16 @ Xx0 )
=> ( SY25 @ Xx0 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY30: b > $o,SY31: b > $o] :
( ( ! [SY32: b] :
( ( SY30 @ SY32 )
=> ! [SY33: b > $o] :
( ( sK2_SY13 @ SY33 )
=> ( SY33 @ SY32 ) ) )
& ( sK1_P @ SY30 @ SY31 ) )
=> ! [SY34: b] :
( ( SY31 @ SY34 )
=> ! [SY35: b > $o] :
( ( sK2_SY13 @ SY35 )
=> ( SY35 @ SY34 ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( ~ ! [SY30: b > $o,SY31: b > $o] :
( ( ! [SY32: b] :
( ( SY30 @ SY32 )
=> ! [SY33: b > $o] :
( ( sK2_SY13 @ SY33 )
=> ( SY33 @ SY32 ) ) )
& ( sK1_P @ SY30 @ SY31 ) )
=> ! [SY34: b] :
( ( SY31 @ SY34 )
=> ! [SY35: b > $o] :
( ( sK2_SY13 @ SY35 )
=> ( SY35 @ SY34 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY37: b] :
( ~ ( sK3_SY30 @ SY37 )
| ! [SY33: b > $o] :
( ~ ( sK2_SY13 @ SY33 )
| ( SY33 @ SY37 ) ) )
& ( sK1_P @ sK3_SY30 @ sK4_SY36 )
& ( sK4_SY36 @ sK5_SY43 )
& ( sK2_SY13 @ sK6_SY45 )
& ~ ( sK6_SY45 @ sK5_SY43 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [SY25: b > $o] :
( ~ ( sK2_SY13 @ SY25 )
| ! [SY15: b > $o,SY16: b > $o] :
( ( ( SY15 @ ( sK7_Xx0 @ SY16 @ SY15 @ SY25 ) )
& ~ ( SY25 @ ( sK7_Xx0 @ SY16 @ SY15 @ SY25 ) ) )
| ~ ( sK1_P @ SY15 @ SY16 )
| ! [Xx0: b] :
( ~ ( SY16 @ Xx0 )
| ( SY25 @ Xx0 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(11,plain,
( ( ! [SY25: b > $o] :
( ~ ( sK2_SY13 @ SY25 )
| ! [SY15: b > $o,SY16: b > $o] :
( ( ( SY15 @ ( sK7_Xx0 @ SY16 @ SY15 @ SY25 ) )
& ~ ( SY25 @ ( sK7_Xx0 @ SY16 @ SY15 @ SY25 ) ) )
| ~ ( sK1_P @ SY15 @ SY16 )
| ! [Xx0: b] :
( ~ ( SY16 @ Xx0 )
| ( SY25 @ Xx0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [SY37: b] :
( ~ ( sK3_SY30 @ SY37 )
| ! [SY33: b > $o] :
( ~ ( sK2_SY13 @ SY33 )
| ( SY33 @ SY37 ) ) )
& ( sK1_P @ sK3_SY30 @ sK4_SY36 )
& ( sK4_SY36 @ sK5_SY43 )
& ( sK2_SY13 @ sK6_SY45 )
& ~ ( sK6_SY45 @ sK5_SY43 ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(13,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: b] :
( ~ ( sK3_SY30 @ SX0 )
| ! [SX1: b > $o] :
( ~ ( sK2_SY13 @ SX1 )
| ( SX1 @ SX0 ) ) )
| ~ ( sK1_P @ sK3_SY30 @ sK4_SY36 ) )
| ~ ~ ( ~ ( sK4_SY36 @ sK5_SY43 )
| ~ ~ ( ~ ( sK2_SY13 @ sK6_SY45 )
| ~ ~ ( sK6_SY45 @ sK5_SY43 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [SX0: b > $o] :
( ~ ( sK2_SY13 @ SX0 )
| ! [SX1: b > $o,SX2: b > $o] :
( ~ ( ~ ( SX1 @ ( sK7_Xx0 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( SX0 @ ( sK7_Xx0 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( sK1_P @ SX1 @ SX2 )
| ! [SX3: b] :
( ~ ( SX2 @ SX3 )
| ( SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(15,plain,
( ( ~ ~ ( ~ ! [SX0: b] :
( ~ ( sK3_SY30 @ SX0 )
| ! [SX1: b > $o] :
( ~ ( sK2_SY13 @ SX1 )
| ( SX1 @ SX0 ) ) )
| ~ ( sK1_P @ sK3_SY30 @ sK4_SY36 ) )
| ~ ~ ( ~ ( sK4_SY36 @ sK5_SY43 )
| ~ ~ ( ~ ( sK2_SY13 @ sK6_SY45 )
| ~ ~ ( sK6_SY45 @ sK5_SY43 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(16,plain,
! [SV1: b > $o] :
( ( ~ ( sK2_SY13 @ SV1 )
| ! [SY46: b > $o,SY47: b > $o] :
( ~ ( ~ ( SY46 @ ( sK7_Xx0 @ SY47 @ SY46 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK7_Xx0 @ SY47 @ SY46 @ SV1 ) ) )
| ~ ( sK1_P @ SY46 @ SY47 )
| ! [SY48: b] :
( ~ ( SY47 @ SY48 )
| ( SV1 @ SY48 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ~ ( ~ ! [SX0: b] :
( ~ ( sK3_SY30 @ SX0 )
| ! [SX1: b > $o] :
( ~ ( sK2_SY13 @ SX1 )
| ( SX1 @ SX0 ) ) )
| ~ ( sK1_P @ sK3_SY30 @ sK4_SY36 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ~ ( ~ ( sK4_SY36 @ sK5_SY43 )
| ~ ~ ( ~ ( sK2_SY13 @ sK6_SY45 )
| ~ ~ ( sK6_SY45 @ sK5_SY43 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(19,plain,
! [SV1: b > $o] :
( ( ( ~ ( sK2_SY13 @ SV1 ) )
= $true )
| ( ( ! [SY46: b > $o,SY47: b > $o] :
( ~ ( ~ ( SY46 @ ( sK7_Xx0 @ SY47 @ SY46 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK7_Xx0 @ SY47 @ SY46 @ SV1 ) ) )
| ~ ( sK1_P @ SY46 @ SY47 )
| ! [SY48: b] :
( ~ ( SY47 @ SY48 )
| ( SV1 @ SY48 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[16]) ).
thf(20,plain,
( ( ~ ( ~ ! [SX0: b] :
( ~ ( sK3_SY30 @ SX0 )
| ! [SX1: b > $o] :
( ~ ( sK2_SY13 @ SX1 )
| ( SX1 @ SX0 ) ) )
| ~ ( sK1_P @ sK3_SY30 @ sK4_SY36 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ( ~ ( sK4_SY36 @ sK5_SY43 )
| ~ ~ ( ~ ( sK2_SY13 @ sK6_SY45 )
| ~ ~ ( sK6_SY45 @ sK5_SY43 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV1: b > $o] :
( ( ( sK2_SY13 @ SV1 )
= $false )
| ( ( ! [SY46: b > $o,SY47: b > $o] :
( ~ ( ~ ( SY46 @ ( sK7_Xx0 @ SY47 @ SY46 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK7_Xx0 @ SY47 @ SY46 @ SV1 ) ) )
| ~ ( sK1_P @ SY46 @ SY47 )
| ! [SY48: b] :
( ~ ( SY47 @ SY48 )
| ( SV1 @ SY48 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ! [SX0: b] :
( ~ ( sK3_SY30 @ SX0 )
| ! [SX1: b > $o] :
( ~ ( sK2_SY13 @ SX1 )
| ( SX1 @ SX0 ) ) )
| ~ ( sK1_P @ sK3_SY30 @ sK4_SY36 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(24,plain,
( ( ~ ( sK4_SY36 @ sK5_SY43 )
| ~ ~ ( ~ ( sK2_SY13 @ sK6_SY45 )
| ~ ~ ( sK6_SY45 @ sK5_SY43 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(25,plain,
! [SV1: b > $o,SV2: b > $o] :
( ( ( ! [SY49: b > $o] :
( ~ ( ~ ( SV2 @ ( sK7_Xx0 @ SY49 @ SV2 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK7_Xx0 @ SY49 @ SV2 @ SV1 ) ) )
| ~ ( sK1_P @ SV2 @ SY49 )
| ! [SY48: b] :
( ~ ( SY49 @ SY48 )
| ( SV1 @ SY48 ) ) ) )
= $true )
| ( ( sK2_SY13 @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ! [SX0: b] :
( ~ ( sK3_SY30 @ SX0 )
| ! [SX1: b > $o] :
( ~ ( sK2_SY13 @ SX1 )
| ( SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ( sK1_P @ sK3_SY30 @ sK4_SY36 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ( sK4_SY36 @ sK5_SY43 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(29,plain,
( ( ~ ~ ( ~ ( sK2_SY13 @ sK6_SY45 )
| ~ ~ ( sK6_SY45 @ sK5_SY43 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(30,plain,
! [SV1: b > $o,SV3: b > $o,SV2: b > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( sK1_P @ SV2 @ SV3 )
| ! [SY51: b] :
( ~ ( SV3 @ SY51 )
| ( SV1 @ SY51 ) ) )
= $true )
| ( ( sK2_SY13 @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(31,plain,
( ( ! [SX0: b] :
( ~ ( sK3_SY30 @ SX0 )
| ! [SX1: b > $o] :
( ~ ( sK2_SY13 @ SX1 )
| ( SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(32,plain,
( ( sK1_P @ sK3_SY30 @ sK4_SY36 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(33,plain,
( ( sK4_SY36 @ sK5_SY43 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ( ~ ( sK2_SY13 @ sK6_SY45 )
| ~ ~ ( sK6_SY45 @ sK5_SY43 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(35,plain,
! [SV1: b > $o,SV3: b > $o,SV2: b > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) ) )
| ~ ( sK1_P @ SV2 @ SV3 ) )
= $true )
| ( ( ! [SY51: b] :
( ~ ( SV3 @ SY51 )
| ( SV1 @ SY51 ) ) )
= $true )
| ( ( sK2_SY13 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(36,plain,
! [SV4: b] :
( ( ~ ( sK3_SY30 @ SV4 )
| ! [SY52: b > $o] :
( ~ ( sK2_SY13 @ SY52 )
| ( SY52 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(37,plain,
( ( ~ ( sK2_SY13 @ sK6_SY45 )
| ~ ~ ( sK6_SY45 @ sK5_SY43 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV1: b > $o,SV3: b > $o,SV2: b > $o] :
( ( ( ~ ( ~ ( SV2 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( sK1_P @ SV2 @ SV3 ) )
= $true )
| ( ( ! [SY51: b] :
( ~ ( SV3 @ SY51 )
| ( SV1 @ SY51 ) ) )
= $true )
| ( ( sK2_SY13 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(39,plain,
! [SV4: b] :
( ( ( ~ ( sK3_SY30 @ SV4 ) )
= $true )
| ( ( ! [SY52: b > $o] :
( ~ ( sK2_SY13 @ SY52 )
| ( SY52 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(40,plain,
( ( ~ ( sK2_SY13 @ sK6_SY45 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(41,plain,
( ( ~ ~ ( sK6_SY45 @ sK5_SY43 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(42,plain,
! [SV1: b > $o,SV3: b > $o,SV2: b > $o] :
( ( ( ~ ( SV2 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) )
| ~ ~ ( SV1 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_P @ SV2 @ SV3 ) )
= $true )
| ( ( ! [SY51: b] :
( ~ ( SV3 @ SY51 )
| ( SV1 @ SY51 ) ) )
= $true )
| ( ( sK2_SY13 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(43,plain,
! [SV4: b] :
( ( ( sK3_SY30 @ SV4 )
= $false )
| ( ( ! [SY52: b > $o] :
( ~ ( sK2_SY13 @ SY52 )
| ( SY52 @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(44,plain,
( ( sK2_SY13 @ sK6_SY45 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(45,plain,
( ( ~ ( sK6_SY45 @ sK5_SY43 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(46,plain,
! [SV1: b > $o,SV3: b > $o,SV2: b > $o] :
( ( ( ~ ( SV2 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_P @ SV2 @ SV3 ) )
= $true )
| ( ( ! [SY51: b] :
( ~ ( SV3 @ SY51 )
| ( SV1 @ SY51 ) ) )
= $true )
| ( ( sK2_SY13 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(47,plain,
! [SV2: b > $o,SV3: b > $o,SV1: b > $o] :
( ( ( ~ ~ ( SV1 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) ) )
= $false )
| ( ( ~ ( sK1_P @ SV2 @ SV3 ) )
= $true )
| ( ( ! [SY51: b] :
( ~ ( SV3 @ SY51 )
| ( SV1 @ SY51 ) ) )
= $true )
| ( ( sK2_SY13 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(48,plain,
! [SV4: b,SV5: b > $o] :
( ( ( ~ ( sK2_SY13 @ SV5 )
| ( SV5 @ SV4 ) )
= $true )
| ( ( sK3_SY30 @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(49,plain,
( ( sK6_SY45 @ sK5_SY43 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(50,plain,
! [SV1: b > $o,SV3: b > $o,SV2: b > $o] :
( ( ( SV2 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( ~ ( sK1_P @ SV2 @ SV3 ) )
= $true )
| ( ( ! [SY51: b] :
( ~ ( SV3 @ SY51 )
| ( SV1 @ SY51 ) ) )
= $true )
| ( ( sK2_SY13 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(51,plain,
! [SV2: b > $o,SV3: b > $o,SV1: b > $o] :
( ( ( ~ ( SV1 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) ) )
= $true )
| ( ( ~ ( sK1_P @ SV2 @ SV3 ) )
= $true )
| ( ( ! [SY51: b] :
( ~ ( SV3 @ SY51 )
| ( SV1 @ SY51 ) ) )
= $true )
| ( ( sK2_SY13 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(52,plain,
! [SV4: b,SV5: b > $o] :
( ( ( ~ ( sK2_SY13 @ SV5 ) )
= $true )
| ( ( SV5 @ SV4 )
= $true )
| ( ( sK3_SY30 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(53,plain,
! [SV1: b > $o,SV3: b > $o,SV2: b > $o] :
( ( ( sK1_P @ SV2 @ SV3 )
= $false )
| ( ( SV2 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( ! [SY51: b] :
( ~ ( SV3 @ SY51 )
| ( SV1 @ SY51 ) ) )
= $true )
| ( ( sK2_SY13 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(54,plain,
! [SV2: b > $o,SV3: b > $o,SV1: b > $o] :
( ( ( SV1 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( ~ ( sK1_P @ SV2 @ SV3 ) )
= $true )
| ( ( ! [SY51: b] :
( ~ ( SV3 @ SY51 )
| ( SV1 @ SY51 ) ) )
= $true )
| ( ( sK2_SY13 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(55,plain,
! [SV4: b,SV5: b > $o] :
( ( ( sK2_SY13 @ SV5 )
= $false )
| ( ( SV5 @ SV4 )
= $true )
| ( ( sK3_SY30 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(56,plain,
! [SV2: b > $o,SV1: b > $o,SV6: b,SV3: b > $o] :
( ( ( ~ ( SV3 @ SV6 )
| ( SV1 @ SV6 ) )
= $true )
| ( ( SV2 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_P @ SV2 @ SV3 )
= $false )
| ( ( sK2_SY13 @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(57,plain,
! [SV1: b > $o,SV3: b > $o,SV2: b > $o] :
( ( ( sK1_P @ SV2 @ SV3 )
= $false )
| ( ( SV1 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( ! [SY51: b] :
( ~ ( SV3 @ SY51 )
| ( SV1 @ SY51 ) ) )
= $true )
| ( ( sK2_SY13 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(58,plain,
! [SV2: b > $o,SV1: b > $o,SV6: b,SV3: b > $o] :
( ( ( ~ ( SV3 @ SV6 ) )
= $true )
| ( ( SV1 @ SV6 )
= $true )
| ( ( SV2 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_P @ SV2 @ SV3 )
= $false )
| ( ( sK2_SY13 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(59,plain,
! [SV2: b > $o,SV1: b > $o,SV7: b,SV3: b > $o] :
( ( ( ~ ( SV3 @ SV7 )
| ( SV1 @ SV7 ) )
= $true )
| ( ( SV1 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_P @ SV2 @ SV3 )
= $false )
| ( ( sK2_SY13 @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(60,plain,
! [SV2: b > $o,SV1: b > $o,SV6: b,SV3: b > $o] :
( ( ( SV3 @ SV6 )
= $false )
| ( ( SV1 @ SV6 )
= $true )
| ( ( SV2 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) )
= $true )
| ( ( sK1_P @ SV2 @ SV3 )
= $false )
| ( ( sK2_SY13 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(61,plain,
! [SV2: b > $o,SV1: b > $o,SV7: b,SV3: b > $o] :
( ( ( ~ ( SV3 @ SV7 ) )
= $true )
| ( ( SV1 @ SV7 )
= $true )
| ( ( SV1 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_P @ SV2 @ SV3 )
= $false )
| ( ( sK2_SY13 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(62,plain,
! [SV2: b > $o,SV1: b > $o,SV7: b,SV3: b > $o] :
( ( ( SV3 @ SV7 )
= $false )
| ( ( SV1 @ SV7 )
= $true )
| ( ( SV1 @ ( sK7_Xx0 @ SV3 @ SV2 @ SV1 ) )
= $false )
| ( ( sK1_P @ SV2 @ SV3 )
= $false )
| ( ( sK2_SY13 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(63,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[32,62,60,55,49,44,33]) ).
thf(64,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEV186^5 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n008.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 Jun 28 11:13:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.36 (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)....
% 0.13/0.41
% 0.13/0.41 ********************************
% 0.13/0.41 * All subproblems solved! *
% 0.13/0.41 ********************************
% 0.13/0.41 % 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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:63,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.41
% 0.13/0.41 %**** Beginning of derivation protocol ****
% 0.13/0.41 % SZS output start CNFRefutation
% See solution above
% 0.13/0.41
% 0.13/0.41 %**** End of derivation protocol ****
% 0.13/0.41 %**** no. of clauses in derivation: 64 ****
% 0.13/0.41 %**** clause counter: 63 ****
% 0.13/0.41
% 0.13/0.41 % 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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:63,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------