TSTP Solution File: SEV136^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV136^5 : 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 : n028.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 17:35:15 EDT 2022
% Result : Theorem 0.18s 0.41s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 8
% Syntax : Number of formulae : 64 ( 32 unt; 7 typ; 0 def)
% Number of atoms : 323 ( 88 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 764 ( 120 ~; 93 |; 29 &; 477 @)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 69 ( 69 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 144 ( 0 ^ 144 !; 0 ?; 144 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_Xr,type,
sK1_Xr: a > a > $o ).
thf(tp_sK2_SY13,type,
sK2_SY13: ( a > a > $o ) > a > a > $o ).
thf(tp_sK3_SY31,type,
sK3_SY31: a ).
thf(tp_sK4_SY36,type,
sK4_SY36: a ).
thf(tp_sK5_SY23,type,
sK5_SY23: ( a > $o ) > a ).
thf(tp_sK6_SY43,type,
sK6_SY43: ( a > $o ) > a ).
thf(1,conjecture,
! [Xr: a > a > $o,T: ( a > a > $o ) > a > a > $o] :
( ( ! [Xx: a] : ( T @ Xr @ Xx @ Xx )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( T @ Xr @ Xx @ Xy )
& ( T @ Xr @ Xy @ Xz ) )
=> ( T @ Xr @ Xx @ Xz ) )
& ! [Xx: a,Xy: a] :
( ( Xr @ Xx @ Xy )
=> ( T @ Xr @ Xx @ Xy ) ) )
=> ! [Xx: a,Xy: a] :
( ! [Xx0: a > $o] :
( ! [Xy0: a,Xz: a] :
( ( ( Xr @ Xy0 @ Xz )
& ( Xx0 @ Xy0 ) )
=> ( Xx0 @ Xz ) )
=> ( ( Xx0 @ Xx )
=> ( Xx0 @ Xy ) ) )
=> ( T @ Xr @ Xx @ Xy ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM203_pme) ).
thf(2,negated_conjecture,
( ( ! [Xr: a > a > $o,T: ( a > a > $o ) > a > a > $o] :
( ( ! [Xx: a] : ( T @ Xr @ Xx @ Xx )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( T @ Xr @ Xx @ Xy )
& ( T @ Xr @ Xy @ Xz ) )
=> ( T @ Xr @ Xx @ Xz ) )
& ! [Xx: a,Xy: a] :
( ( Xr @ Xx @ Xy )
=> ( T @ Xr @ Xx @ Xy ) ) )
=> ! [Xx: a,Xy: a] :
( ! [Xx0: a > $o] :
( ! [Xy0: a,Xz: a] :
( ( ( Xr @ Xy0 @ Xz )
& ( Xx0 @ Xy0 ) )
=> ( Xx0 @ Xz ) )
=> ( ( Xx0 @ Xx )
=> ( Xx0 @ Xy ) ) )
=> ( T @ Xr @ Xx @ Xy ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xr: a > a > $o,T: ( a > a > $o ) > a > a > $o] :
( ( ! [Xx: a] : ( T @ Xr @ Xx @ Xx )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( T @ Xr @ Xx @ Xy )
& ( T @ Xr @ Xy @ Xz ) )
=> ( T @ Xr @ Xx @ Xz ) )
& ! [Xx: a,Xy: a] :
( ( Xr @ Xx @ Xy )
=> ( T @ Xr @ Xx @ Xy ) ) )
=> ! [Xx: a,Xy: a] :
( ! [Xx0: a > $o] :
( ! [Xy0: a,Xz: a] :
( ( ( Xr @ Xy0 @ Xz )
& ( Xx0 @ Xy0 ) )
=> ( Xx0 @ Xz ) )
=> ( ( Xx0 @ Xx )
=> ( Xx0 @ Xy ) ) )
=> ( T @ Xr @ Xx @ Xy ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY13: ( a > a > $o ) > a > a > $o] :
( ( ! [SY14: a] : ( SY13 @ sK1_Xr @ SY14 @ SY14 )
& ! [SY15: a,SY16: a,SY17: a] :
( ( ( SY13 @ sK1_Xr @ SY15 @ SY16 )
& ( SY13 @ sK1_Xr @ SY16 @ SY17 ) )
=> ( SY13 @ sK1_Xr @ SY15 @ SY17 ) )
& ! [SY18: a,SY19: a] :
( ( sK1_Xr @ SY18 @ SY19 )
=> ( SY13 @ sK1_Xr @ SY18 @ SY19 ) ) )
=> ! [SY20: a,SY21: a] :
( ! [SY22: a > $o] :
( ! [SY23: a,SY24: a] :
( ( ( sK1_Xr @ SY23 @ SY24 )
& ( SY22 @ SY23 ) )
=> ( SY22 @ SY24 ) )
=> ( ( SY22 @ SY20 )
=> ( SY22 @ SY21 ) ) )
=> ( SY13 @ sK1_Xr @ SY20 @ SY21 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ( ! [SY25: a] : ( sK2_SY13 @ sK1_Xr @ SY25 @ SY25 )
& ! [SY26: a,SY27: a,SY28: a] :
( ( ( sK2_SY13 @ sK1_Xr @ SY26 @ SY27 )
& ( sK2_SY13 @ sK1_Xr @ SY27 @ SY28 ) )
=> ( sK2_SY13 @ sK1_Xr @ SY26 @ SY28 ) )
& ! [SY29: a,SY30: a] :
( ( sK1_Xr @ SY29 @ SY30 )
=> ( sK2_SY13 @ sK1_Xr @ SY29 @ SY30 ) ) )
=> ! [SY31: a,SY32: a] :
( ! [SY22: a > $o] :
( ! [SY23: a,SY24: a] :
( ( ( sK1_Xr @ SY23 @ SY24 )
& ( SY22 @ SY23 ) )
=> ( SY22 @ SY24 ) )
=> ( ( SY22 @ SY31 )
=> ( SY22 @ SY32 ) ) )
=> ( sK2_SY13 @ sK1_Xr @ SY31 @ SY32 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY25: a] : ( sK2_SY13 @ sK1_Xr @ SY25 @ SY25 ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY26: a,SY27: a,SY28: a] :
( ( ( sK2_SY13 @ sK1_Xr @ SY26 @ SY27 )
& ( sK2_SY13 @ sK1_Xr @ SY27 @ SY28 ) )
=> ( sK2_SY13 @ sK1_Xr @ SY26 @ SY28 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( ! [SY29: a,SY30: a] :
( ( sK1_Xr @ SY29 @ SY30 )
=> ( sK2_SY13 @ sK1_Xr @ SY29 @ SY30 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(9,plain,
( ( ! [SY31: a,SY32: a] :
( ! [SY22: a > $o] :
( ! [SY23: a,SY24: a] :
( ( ( sK1_Xr @ SY23 @ SY24 )
& ( SY22 @ SY23 ) )
=> ( SY22 @ SY24 ) )
=> ( ( SY22 @ SY31 )
=> ( SY22 @ SY32 ) ) )
=> ( sK2_SY13 @ sK1_Xr @ SY31 @ SY32 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(10,plain,
( ( ~ ! [SY31: a,SY32: a] :
( ! [SY22: a > $o] :
( ! [SY23: a,SY24: a] :
( ( ( sK1_Xr @ SY23 @ SY24 )
& ( SY22 @ SY23 ) )
=> ( SY22 @ SY24 ) )
=> ( ( SY22 @ SY31 )
=> ( SY22 @ SY32 ) ) )
=> ( sK2_SY13 @ sK1_Xr @ SY31 @ SY32 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [SY40: a > $o] :
( ( ( SY40 @ ( sK5_SY23 @ SY40 ) )
& ( sK1_Xr @ ( sK5_SY23 @ SY40 ) @ ( sK6_SY43 @ SY40 ) )
& ~ ( SY40 @ ( sK6_SY43 @ SY40 ) ) )
| ~ ( SY40 @ sK3_SY31 )
| ( SY40 @ sK4_SY36 ) )
& ~ ( sK2_SY13 @ sK1_Xr @ sK3_SY31 @ sK4_SY36 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(12,plain,
( ( ! [SY26: a,SY27: a,SY28: a] :
( ~ ( sK2_SY13 @ sK1_Xr @ SY26 @ SY27 )
| ~ ( sK2_SY13 @ sK1_Xr @ SY27 @ SY28 )
| ( sK2_SY13 @ sK1_Xr @ SY26 @ SY28 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(13,plain,
( ( ! [SY29: a,SY30: a] :
( ~ ( sK1_Xr @ SY29 @ SY30 )
| ( sK2_SY13 @ sK1_Xr @ SY29 @ SY30 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(14,plain,
( ( ! [SY29: a,SY30: a] :
( ~ ( sK1_Xr @ SY29 @ SY30 )
| ( sK2_SY13 @ sK1_Xr @ SY29 @ SY30 ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(15,plain,
( ( ! [SY26: a,SY27: a,SY28: a] :
( ~ ( sK2_SY13 @ sK1_Xr @ SY26 @ SY27 )
| ~ ( sK2_SY13 @ sK1_Xr @ SY27 @ SY28 )
| ( sK2_SY13 @ sK1_Xr @ SY26 @ SY28 ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(16,plain,
( ( ! [SY25: a] : ( sK2_SY13 @ sK1_Xr @ SY25 @ SY25 ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(17,plain,
( ( ! [SY40: a > $o] :
( ( ( SY40 @ ( sK5_SY23 @ SY40 ) )
& ( sK1_Xr @ ( sK5_SY23 @ SY40 ) @ ( sK6_SY43 @ SY40 ) )
& ~ ( SY40 @ ( sK6_SY43 @ SY40 ) ) )
| ~ ( SY40 @ sK3_SY31 )
| ( SY40 @ sK4_SY36 ) )
& ~ ( sK2_SY13 @ sK1_Xr @ sK3_SY31 @ sK4_SY36 ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(18,plain,
( ( ~ ( ~ ! [SX0: a > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK5_SY23 @ SX0 ) )
| ~ ( sK1_Xr @ ( sK5_SY23 @ SX0 ) @ ( sK6_SY43 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK6_SY43 @ SX0 ) ) )
| ~ ( SX0 @ sK3_SY31 )
| ( SX0 @ sK4_SY36 ) )
| ~ ~ ( sK2_SY13 @ sK1_Xr @ sK3_SY31 @ sK4_SY36 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(19,plain,
! [SV1: a] :
( ( ! [SY44: a] :
( ~ ( sK1_Xr @ SV1 @ SY44 )
| ( sK2_SY13 @ sK1_Xr @ SV1 @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(20,plain,
! [SV2: a] :
( ( ! [SY45: a,SY46: a] :
( ~ ( sK2_SY13 @ sK1_Xr @ SV2 @ SY45 )
| ~ ( sK2_SY13 @ sK1_Xr @ SY45 @ SY46 )
| ( sK2_SY13 @ sK1_Xr @ SV2 @ SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(21,plain,
! [SV3: a] :
( ( sK2_SY13 @ sK1_Xr @ SV3 @ SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(22,plain,
( ( ~ ! [SX0: a > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK5_SY23 @ SX0 ) )
| ~ ( sK1_Xr @ ( sK5_SY23 @ SX0 ) @ ( sK6_SY43 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK6_SY43 @ SX0 ) ) )
| ~ ( SX0 @ sK3_SY31 )
| ( SX0 @ sK4_SY36 ) )
| ~ ~ ( sK2_SY13 @ sK1_Xr @ sK3_SY31 @ sK4_SY36 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(23,plain,
! [SV4: a,SV1: a] :
( ( ~ ( sK1_Xr @ SV1 @ SV4 )
| ( sK2_SY13 @ sK1_Xr @ SV1 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV5: a,SV2: a] :
( ( ! [SY47: a] :
( ~ ( sK2_SY13 @ sK1_Xr @ SV2 @ SV5 )
| ~ ( sK2_SY13 @ sK1_Xr @ SV5 @ SY47 )
| ( sK2_SY13 @ sK1_Xr @ SV2 @ SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ! [SX0: a > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK5_SY23 @ SX0 ) )
| ~ ( sK1_Xr @ ( sK5_SY23 @ SX0 ) @ ( sK6_SY43 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK6_SY43 @ SX0 ) ) )
| ~ ( SX0 @ sK3_SY31 )
| ( SX0 @ sK4_SY36 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ~ ( sK2_SY13 @ sK1_Xr @ sK3_SY31 @ sK4_SY36 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(27,plain,
! [SV4: a,SV1: a] :
( ( ( ~ ( sK1_Xr @ SV1 @ SV4 ) )
= $true )
| ( ( sK2_SY13 @ sK1_Xr @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(28,plain,
! [SV6: a,SV5: a,SV2: a] :
( ( ~ ( sK2_SY13 @ sK1_Xr @ SV2 @ SV5 )
| ~ ( sK2_SY13 @ sK1_Xr @ SV5 @ SV6 )
| ( sK2_SY13 @ sK1_Xr @ SV2 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(29,plain,
( ( ! [SX0: a > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK5_SY23 @ SX0 ) )
| ~ ( sK1_Xr @ ( sK5_SY23 @ SX0 ) @ ( sK6_SY43 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK6_SY43 @ SX0 ) ) )
| ~ ( SX0 @ sK3_SY31 )
| ( SX0 @ sK4_SY36 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(30,plain,
( ( ~ ( sK2_SY13 @ sK1_Xr @ sK3_SY31 @ sK4_SY36 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(31,plain,
! [SV4: a,SV1: a] :
( ( ( sK1_Xr @ SV1 @ SV4 )
= $false )
| ( ( sK2_SY13 @ sK1_Xr @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV6: a,SV5: a,SV2: a] :
( ( ( ~ ( sK2_SY13 @ sK1_Xr @ SV2 @ SV5 )
| ~ ( sK2_SY13 @ sK1_Xr @ SV5 @ SV6 ) )
= $true )
| ( ( sK2_SY13 @ sK1_Xr @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV7: a > $o] :
( ( ~ ( ~ ~ ( ~ ( SV7 @ ( sK5_SY23 @ SV7 ) )
| ~ ( sK1_Xr @ ( sK5_SY23 @ SV7 ) @ ( sK6_SY43 @ SV7 ) ) )
| ~ ~ ( SV7 @ ( sK6_SY43 @ SV7 ) ) )
| ~ ( SV7 @ sK3_SY31 )
| ( SV7 @ sK4_SY36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(34,plain,
( ( sK2_SY13 @ sK1_Xr @ sK3_SY31 @ sK4_SY36 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(35,plain,
! [SV6: a,SV5: a,SV2: a] :
( ( ( ~ ( sK2_SY13 @ sK1_Xr @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( sK2_SY13 @ sK1_Xr @ SV5 @ SV6 ) )
= $true )
| ( ( sK2_SY13 @ sK1_Xr @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV7: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV7 @ ( sK5_SY23 @ SV7 ) )
| ~ ( sK1_Xr @ ( sK5_SY23 @ SV7 ) @ ( sK6_SY43 @ SV7 ) ) )
| ~ ~ ( SV7 @ ( sK6_SY43 @ SV7 ) ) ) )
= $true )
| ( ( ~ ( SV7 @ sK3_SY31 )
| ( SV7 @ sK4_SY36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(37,plain,
! [SV6: a,SV5: a,SV2: a] :
( ( ( sK2_SY13 @ sK1_Xr @ SV2 @ SV5 )
= $false )
| ( ( ~ ( sK2_SY13 @ sK1_Xr @ SV5 @ SV6 ) )
= $true )
| ( ( sK2_SY13 @ sK1_Xr @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(38,plain,
! [SV7: a > $o] :
( ( ( ~ ~ ( ~ ( SV7 @ ( sK5_SY23 @ SV7 ) )
| ~ ( sK1_Xr @ ( sK5_SY23 @ SV7 ) @ ( sK6_SY43 @ SV7 ) ) )
| ~ ~ ( SV7 @ ( sK6_SY43 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ sK3_SY31 )
| ( SV7 @ sK4_SY36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(39,plain,
! [SV2: a,SV6: a,SV5: a] :
( ( ( sK2_SY13 @ sK1_Xr @ SV5 @ SV6 )
= $false )
| ( ( sK2_SY13 @ sK1_Xr @ SV2 @ SV5 )
= $false )
| ( ( sK2_SY13 @ sK1_Xr @ SV2 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(40,plain,
! [SV7: a > $o] :
( ( ( ~ ~ ( ~ ( SV7 @ ( sK5_SY23 @ SV7 ) )
| ~ ( sK1_Xr @ ( sK5_SY23 @ SV7 ) @ ( sK6_SY43 @ SV7 ) ) ) )
= $false )
| ( ( ~ ( SV7 @ sK3_SY31 )
| ( SV7 @ sK4_SY36 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(41,plain,
! [SV7: a > $o] :
( ( ( ~ ~ ( SV7 @ ( sK6_SY43 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ sK3_SY31 )
| ( SV7 @ sK4_SY36 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(42,plain,
! [SV7: a > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK5_SY23 @ SV7 ) )
| ~ ( sK1_Xr @ ( sK5_SY23 @ SV7 ) @ ( sK6_SY43 @ SV7 ) ) ) )
= $true )
| ( ( ~ ( SV7 @ sK3_SY31 )
| ( SV7 @ sK4_SY36 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(43,plain,
! [SV7: a > $o] :
( ( ( ~ ( SV7 @ ( sK6_SY43 @ SV7 ) ) )
= $true )
| ( ( ~ ( SV7 @ sK3_SY31 )
| ( SV7 @ sK4_SY36 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(44,plain,
! [SV7: a > $o] :
( ( ( ~ ( SV7 @ ( sK5_SY23 @ SV7 ) )
| ~ ( sK1_Xr @ ( sK5_SY23 @ SV7 ) @ ( sK6_SY43 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ sK3_SY31 )
| ( SV7 @ sK4_SY36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(45,plain,
! [SV7: a > $o] :
( ( ( SV7 @ ( sK6_SY43 @ SV7 ) )
= $false )
| ( ( ~ ( SV7 @ sK3_SY31 )
| ( SV7 @ sK4_SY36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(46,plain,
! [SV7: a > $o] :
( ( ( ~ ( SV7 @ ( sK5_SY23 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ sK3_SY31 )
| ( SV7 @ sK4_SY36 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(47,plain,
! [SV7: a > $o] :
( ( ( ~ ( sK1_Xr @ ( sK5_SY23 @ SV7 ) @ ( sK6_SY43 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ sK3_SY31 )
| ( SV7 @ sK4_SY36 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(48,plain,
! [SV7: a > $o] :
( ( ( ~ ( SV7 @ sK3_SY31 ) )
= $true )
| ( ( SV7 @ sK4_SY36 )
= $true )
| ( ( SV7 @ ( sK6_SY43 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(49,plain,
! [SV7: a > $o] :
( ( ( SV7 @ ( sK5_SY23 @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ sK3_SY31 )
| ( SV7 @ sK4_SY36 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(50,plain,
! [SV7: a > $o] :
( ( ( sK1_Xr @ ( sK5_SY23 @ SV7 ) @ ( sK6_SY43 @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ sK3_SY31 )
| ( SV7 @ sK4_SY36 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(51,plain,
! [SV7: a > $o] :
( ( ( SV7 @ sK3_SY31 )
= $false )
| ( ( SV7 @ sK4_SY36 )
= $true )
| ( ( SV7 @ ( sK6_SY43 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(52,plain,
! [SV7: a > $o] :
( ( ( ~ ( SV7 @ sK3_SY31 ) )
= $true )
| ( ( SV7 @ sK4_SY36 )
= $true )
| ( ( SV7 @ ( sK5_SY23 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(53,plain,
! [SV7: a > $o] :
( ( ( ~ ( SV7 @ sK3_SY31 ) )
= $true )
| ( ( SV7 @ sK4_SY36 )
= $true )
| ( ( sK1_Xr @ ( sK5_SY23 @ SV7 ) @ ( sK6_SY43 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(54,plain,
! [SV7: a > $o] :
( ( ( SV7 @ sK3_SY31 )
= $false )
| ( ( SV7 @ sK4_SY36 )
= $true )
| ( ( SV7 @ ( sK5_SY23 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(55,plain,
! [SV7: a > $o] :
( ( ( SV7 @ sK3_SY31 )
= $false )
| ( ( SV7 @ sK4_SY36 )
= $true )
| ( ( sK1_Xr @ ( sK5_SY23 @ SV7 ) @ ( sK6_SY43 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(56,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[21,55,54,51,39,34,31]) ).
thf(57,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEV136^5 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n028.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 13:32:27 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
% 0.13/0.35 (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)...
% 0.18/0.41
% 0.18/0.41 ********************************
% 0.18/0.41 * All subproblems solved! *
% 0.18/0.41 ********************************
% 0.18/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,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:56,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.41
% 0.18/0.41 %**** Beginning of derivation protocol ****
% 0.18/0.41 % SZS output start CNFRefutation
% See solution above
% 0.18/0.41
% 0.18/0.41 %**** End of derivation protocol ****
% 0.18/0.41 %**** no. of clauses in derivation: 57 ****
% 0.18/0.41 %**** clause counter: 56 ****
% 0.18/0.41
% 0.18/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,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:56,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------