TSTP Solution File: SEV054^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV054^5 : 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 17:34:33 EDT 2022
% Result : Theorem 25.87s 26.11s
% Output : CNFRefutation 25.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 8
% Syntax : Number of formulae : 100 ( 41 unt; 7 typ; 0 def)
% Number of atoms : 515 ( 161 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 1114 ( 143 ~; 123 |; 23 &; 782 @)
% ( 0 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 113 ( 113 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 2 con; 0-4 aty)
% Number of variables : 289 ( 32 ^ 250 !; 7 ?; 289 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_R,type,
sK1_R: a > a > $o ).
thf(tp_sK2_SY13,type,
sK2_SY13: ( a > $o ) > a ).
thf(tp_sK3_SY21,type,
sK3_SY21: a > a ).
thf(tp_sK4_SY20,type,
sK4_SY20: a > ( a > $o ) > a ).
thf(tp_sK5_E,type,
sK5_E: ( a > a ) > a > ( a > a > $o ) > a ).
thf(tp_sK6_E,type,
sK6_E: ( a > a ) > ( a > a > a ) > a > ( a > a > a > $o ) > a ).
thf(1,conjecture,
! [R: a > a > $o,U: ( a > $o ) > a] :
( ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) )
& ! [Xs: a > $o] :
( ! [Xz: a] :
( ( Xs @ Xz )
=> ( R @ Xz @ ( U @ Xs ) ) )
& ! [Xj: a] :
( ! [Xk: a] :
( ( Xs @ Xk )
=> ( R @ Xk @ Xj ) )
=> ( R @ ( U @ Xs ) @ Xj ) ) ) )
=> ! [Xf: a > a] :
( ! [Xx: a,Xy: a] :
( ( R @ Xx @ Xy )
=> ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
=> ? [Xw: a] : ( R @ ( Xf @ Xw ) @ Xw ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM403_pme) ).
thf(2,negated_conjecture,
( ( ! [R: a > a > $o,U: ( a > $o ) > a] :
( ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) )
& ! [Xs: a > $o] :
( ! [Xz: a] :
( ( Xs @ Xz )
=> ( R @ Xz @ ( U @ Xs ) ) )
& ! [Xj: a] :
( ! [Xk: a] :
( ( Xs @ Xk )
=> ( R @ Xk @ Xj ) )
=> ( R @ ( U @ Xs ) @ Xj ) ) ) )
=> ! [Xf: a > a] :
( ! [Xx: a,Xy: a] :
( ( R @ Xx @ Xy )
=> ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
=> ? [Xw: a] : ( R @ ( Xf @ Xw ) @ Xw ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [R: a > a > $o,U: ( a > $o ) > a] :
( ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) )
& ! [Xs: a > $o] :
( ! [Xz: a] :
( ( Xs @ Xz )
=> ( R @ Xz @ ( U @ Xs ) ) )
& ! [Xj: a] :
( ! [Xk: a] :
( ( Xs @ Xk )
=> ( R @ Xk @ Xj ) )
=> ( R @ ( U @ Xs ) @ Xj ) ) ) )
=> ! [Xf: a > a] :
( ! [Xx: a,Xy: a] :
( ( R @ Xx @ Xy )
=> ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
=> ? [Xw: a] : ( R @ ( Xf @ Xw ) @ Xw ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY13: ( a > $o ) > a] :
( ( ! [SY14: a,SY15: a,SY16: a] :
( ( ( sK1_R @ SY14 @ SY15 )
& ( sK1_R @ SY15 @ SY16 ) )
=> ( sK1_R @ SY14 @ SY16 ) )
& ! [SY17: a > $o] :
( ! [SY18: a] :
( ( SY17 @ SY18 )
=> ( sK1_R @ SY18 @ ( SY13 @ SY17 ) ) )
& ! [SY19: a] :
( ! [SY20: a] :
( ( SY17 @ SY20 )
=> ( sK1_R @ SY20 @ SY19 ) )
=> ( sK1_R @ ( SY13 @ SY17 ) @ SY19 ) ) ) )
=> ! [SY21: a > a] :
( ! [SY22: a,SY23: a] :
( ( sK1_R @ SY22 @ SY23 )
=> ( sK1_R @ ( SY21 @ SY22 ) @ ( SY21 @ SY23 ) ) )
=> ? [SY24: a] : ( sK1_R @ ( SY21 @ SY24 ) @ SY24 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ( ! [SY14: a,SY15: a,SY16: a] :
( ( ( sK1_R @ SY14 @ SY15 )
& ( sK1_R @ SY15 @ SY16 ) )
=> ( sK1_R @ SY14 @ SY16 ) )
& ! [SY28: a > $o] :
( ! [SY29: a] :
( ( SY28 @ SY29 )
=> ( sK1_R @ SY29 @ ( sK2_SY13 @ SY28 ) ) )
& ! [SY30: a] :
( ! [SY20: a] :
( ( SY28 @ SY20 )
=> ( sK1_R @ SY20 @ SY30 ) )
=> ( sK1_R @ ( sK2_SY13 @ SY28 ) @ SY30 ) ) ) )
=> ! [SY21: a > a] :
( ! [SY22: a,SY23: a] :
( ( sK1_R @ SY22 @ SY23 )
=> ( sK1_R @ ( SY21 @ SY22 ) @ ( SY21 @ SY23 ) ) )
=> ? [SY24: a] : ( sK1_R @ ( SY21 @ SY24 ) @ SY24 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY14: a,SY15: a,SY16: a] :
( ( ( sK1_R @ SY14 @ SY15 )
& ( sK1_R @ SY15 @ SY16 ) )
=> ( sK1_R @ SY14 @ SY16 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY28: a > $o] :
( ! [SY29: a] :
( ( SY28 @ SY29 )
=> ( sK1_R @ SY29 @ ( sK2_SY13 @ SY28 ) ) )
& ! [SY30: a] :
( ! [SY20: a] :
( ( SY28 @ SY20 )
=> ( sK1_R @ SY20 @ SY30 ) )
=> ( sK1_R @ ( sK2_SY13 @ SY28 ) @ SY30 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( ! [SY21: a > a] :
( ! [SY22: a,SY23: a] :
( ( sK1_R @ SY22 @ SY23 )
=> ( sK1_R @ ( SY21 @ SY22 ) @ ( SY21 @ SY23 ) ) )
=> ? [SY24: a] : ( sK1_R @ ( SY21 @ SY24 ) @ SY24 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(9,plain,
( ( ~ ! [SY21: a > a] :
( ! [SY22: a,SY23: a] :
( ( sK1_R @ SY22 @ SY23 )
=> ( sK1_R @ ( SY21 @ SY22 ) @ ( SY21 @ SY23 ) ) )
=> ? [SY24: a] : ( sK1_R @ ( SY21 @ SY24 ) @ SY24 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [SY36: a,SY37: a] :
( ~ ( sK1_R @ SY36 @ SY37 )
| ( sK1_R @ ( sK3_SY21 @ SY36 ) @ ( sK3_SY21 @ SY37 ) ) )
& ! [SY38: a] :
~ ( sK1_R @ ( sK3_SY21 @ SY38 ) @ SY38 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(11,plain,
( ( ! [SY14: a,SY15: a,SY16: a] :
( ~ ( sK1_R @ SY14 @ SY15 )
| ~ ( sK1_R @ SY15 @ SY16 )
| ( sK1_R @ SY14 @ SY16 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(12,plain,
( ( ! [SY28: a > $o,SY29: a] :
( ~ ( SY28 @ SY29 )
| ( sK1_R @ SY29 @ ( sK2_SY13 @ SY28 ) ) )
& ! [SY28: a > $o,SY30: a] :
( ( ( SY28 @ ( sK4_SY20 @ SY30 @ SY28 ) )
& ~ ( sK1_R @ ( sK4_SY20 @ SY30 @ SY28 ) @ SY30 ) )
| ( sK1_R @ ( sK2_SY13 @ SY28 ) @ SY30 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(13,plain,
( ( ! [SY28: a > $o,SY29: a] :
( ~ ( SY28 @ SY29 )
| ( sK1_R @ SY29 @ ( sK2_SY13 @ SY28 ) ) )
& ! [SY28: a > $o,SY30: a] :
( ( ( SY28 @ ( sK4_SY20 @ SY30 @ SY28 ) )
& ~ ( sK1_R @ ( sK4_SY20 @ SY30 @ SY28 ) @ SY30 ) )
| ( sK1_R @ ( sK2_SY13 @ SY28 ) @ SY30 ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [SY14: a,SY15: a,SY16: a] :
( ~ ( sK1_R @ SY14 @ SY15 )
| ~ ( sK1_R @ SY15 @ SY16 )
| ( sK1_R @ SY14 @ SY16 ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(15,plain,
( ( ! [SY36: a,SY37: a] :
( ~ ( sK1_R @ SY36 @ SY37 )
| ( sK1_R @ ( sK3_SY21 @ SY36 ) @ ( sK3_SY21 @ SY37 ) ) )
& ! [SY38: a] :
~ ( sK1_R @ ( sK3_SY21 @ SY38 ) @ SY38 ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(16,plain,
( ( ~ ( ~ ! [SX0: a > $o,SX1: a] :
( ~ ( SX0 @ SX1 )
| ( sK1_R @ SX1 @ ( sK2_SY13 @ SX0 ) ) )
| ~ ! [SX0: a > $o,SX1: a] :
( ~ ( ~ ( SX0 @ ( sK4_SY20 @ SX1 @ SX0 ) )
| ~ ~ ( sK1_R @ ( sK4_SY20 @ SX1 @ SX0 ) @ SX1 ) )
| ( sK1_R @ ( sK2_SY13 @ SX0 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(17,plain,
( ( ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ ( sK3_SY21 @ SX0 ) @ ( sK3_SY21 @ SX1 ) ) )
| ~ ! [SX0: a] :
~ ( sK1_R @ ( sK3_SY21 @ SX0 ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(18,plain,
! [SV1: a] :
( ( ! [SY39: a,SY40: a] :
( ~ ( sK1_R @ SV1 @ SY39 )
| ~ ( sK1_R @ SY39 @ SY40 )
| ( sK1_R @ SV1 @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(19,plain,
( ( ~ ! [SX0: a > $o,SX1: a] :
( ~ ( SX0 @ SX1 )
| ( sK1_R @ SX1 @ ( sK2_SY13 @ SX0 ) ) )
| ~ ! [SX0: a > $o,SX1: a] :
( ~ ( ~ ( SX0 @ ( sK4_SY20 @ SX1 @ SX0 ) )
| ~ ~ ( sK1_R @ ( sK4_SY20 @ SX1 @ SX0 ) @ SX1 ) )
| ( sK1_R @ ( sK2_SY13 @ SX0 ) @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(20,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ ( sK3_SY21 @ SX0 ) @ ( sK3_SY21 @ SX1 ) ) )
| ~ ! [SX0: a] :
~ ( sK1_R @ ( sK3_SY21 @ SX0 ) @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(21,plain,
! [SV2: a,SV1: a] :
( ( ! [SY41: a] :
( ~ ( sK1_R @ SV1 @ SV2 )
| ~ ( sK1_R @ SV2 @ SY41 )
| ( sK1_R @ SV1 @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ! [SX0: a > $o,SX1: a] :
( ~ ( SX0 @ SX1 )
| ( sK1_R @ SX1 @ ( sK2_SY13 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ! [SX0: a > $o,SX1: a] :
( ~ ( ~ ( SX0 @ ( sK4_SY20 @ SX1 @ SX0 ) )
| ~ ~ ( sK1_R @ ( sK4_SY20 @ SX1 @ SX0 ) @ SX1 ) )
| ( sK1_R @ ( sK2_SY13 @ SX0 ) @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(24,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ ( sK3_SY21 @ SX0 ) @ ( sK3_SY21 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ! [SX0: a] :
~ ( sK1_R @ ( sK3_SY21 @ SX0 ) @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(26,plain,
! [SV3: a,SV2: a,SV1: a] :
( ( ~ ( sK1_R @ SV1 @ SV2 )
| ~ ( sK1_R @ SV2 @ SV3 )
| ( sK1_R @ SV1 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(27,plain,
( ( ! [SX0: a > $o,SX1: a] :
( ~ ( SX0 @ SX1 )
| ( sK1_R @ SX1 @ ( sK2_SY13 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(28,plain,
( ( ! [SX0: a > $o,SX1: a] :
( ~ ( ~ ( SX0 @ ( sK4_SY20 @ SX1 @ SX0 ) )
| ~ ~ ( sK1_R @ ( sK4_SY20 @ SX1 @ SX0 ) @ SX1 ) )
| ( sK1_R @ ( sK2_SY13 @ SX0 ) @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(29,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK1_R @ SX0 @ SX1 )
| ( sK1_R @ ( sK3_SY21 @ SX0 ) @ ( sK3_SY21 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(30,plain,
( ( ! [SX0: a] :
~ ( sK1_R @ ( sK3_SY21 @ SX0 ) @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(31,plain,
! [SV3: a,SV2: a,SV1: a] :
( ( ( ~ ( sK1_R @ SV1 @ SV2 )
| ~ ( sK1_R @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(32,plain,
! [SV4: a > $o] :
( ( ! [SY42: a] :
( ~ ( SV4 @ SY42 )
| ( sK1_R @ SY42 @ ( sK2_SY13 @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(33,plain,
! [SV5: a > $o] :
( ( ! [SY43: a] :
( ~ ( ~ ( SV5 @ ( sK4_SY20 @ SY43 @ SV5 ) )
| ~ ~ ( sK1_R @ ( sK4_SY20 @ SY43 @ SV5 ) @ SY43 ) )
| ( sK1_R @ ( sK2_SY13 @ SV5 ) @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(34,plain,
! [SV6: a] :
( ( ! [SY44: a] :
( ~ ( sK1_R @ SV6 @ SY44 )
| ( sK1_R @ ( sK3_SY21 @ SV6 ) @ ( sK3_SY21 @ SY44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(35,plain,
! [SV7: a] :
( ( ~ ( sK1_R @ ( sK3_SY21 @ SV7 ) @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(36,plain,
! [SV3: a,SV2: a,SV1: a] :
( ( ( ~ ( sK1_R @ SV1 @ SV2 ) )
= $true )
| ( ( ~ ( sK1_R @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(37,plain,
! [SV8: a,SV4: a > $o] :
( ( ~ ( SV4 @ SV8 )
| ( sK1_R @ SV8 @ ( sK2_SY13 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(38,plain,
! [SV9: a,SV5: a > $o] :
( ( ~ ( ~ ( SV5 @ ( sK4_SY20 @ SV9 @ SV5 ) )
| ~ ~ ( sK1_R @ ( sK4_SY20 @ SV9 @ SV5 ) @ SV9 ) )
| ( sK1_R @ ( sK2_SY13 @ SV5 ) @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(39,plain,
! [SV10: a,SV6: a] :
( ( ~ ( sK1_R @ SV6 @ SV10 )
| ( sK1_R @ ( sK3_SY21 @ SV6 ) @ ( sK3_SY21 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(40,plain,
! [SV7: a] :
( ( sK1_R @ ( sK3_SY21 @ SV7 ) @ SV7 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(41,plain,
! [SV3: a,SV2: a,SV1: a] :
( ( ( sK1_R @ SV1 @ SV2 )
= $false )
| ( ( ~ ( sK1_R @ SV2 @ SV3 ) )
= $true )
| ( ( sK1_R @ SV1 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(42,plain,
! [SV8: a,SV4: a > $o] :
( ( ( ~ ( SV4 @ SV8 ) )
= $true )
| ( ( sK1_R @ SV8 @ ( sK2_SY13 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(43,plain,
! [SV9: a,SV5: a > $o] :
( ( ( ~ ( ~ ( SV5 @ ( sK4_SY20 @ SV9 @ SV5 ) )
| ~ ~ ( sK1_R @ ( sK4_SY20 @ SV9 @ SV5 ) @ SV9 ) ) )
= $true )
| ( ( sK1_R @ ( sK2_SY13 @ SV5 ) @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(44,plain,
! [SV10: a,SV6: a] :
( ( ( ~ ( sK1_R @ SV6 @ SV10 ) )
= $true )
| ( ( sK1_R @ ( sK3_SY21 @ SV6 ) @ ( sK3_SY21 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(45,plain,
! [SV1: a,SV3: a,SV2: a] :
( ( ( sK1_R @ SV2 @ SV3 )
= $false )
| ( ( sK1_R @ SV1 @ SV2 )
= $false )
| ( ( sK1_R @ SV1 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(46,plain,
! [SV8: a,SV4: a > $o] :
( ( ( SV4 @ SV8 )
= $false )
| ( ( sK1_R @ SV8 @ ( sK2_SY13 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV9: a,SV5: a > $o] :
( ( ( ~ ( SV5 @ ( sK4_SY20 @ SV9 @ SV5 ) )
| ~ ~ ( sK1_R @ ( sK4_SY20 @ SV9 @ SV5 ) @ SV9 ) )
= $false )
| ( ( sK1_R @ ( sK2_SY13 @ SV5 ) @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV10: a,SV6: a] :
( ( ( sK1_R @ SV6 @ SV10 )
= $false )
| ( ( sK1_R @ ( sK3_SY21 @ SV6 ) @ ( sK3_SY21 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV9: a,SV5: a > $o] :
( ( ( ~ ( SV5 @ ( sK4_SY20 @ SV9 @ SV5 ) ) )
= $false )
| ( ( sK1_R @ ( sK2_SY13 @ SV5 ) @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(50,plain,
! [SV5: a > $o,SV9: a] :
( ( ( ~ ~ ( sK1_R @ ( sK4_SY20 @ SV9 @ SV5 ) @ SV9 ) )
= $false )
| ( ( sK1_R @ ( sK2_SY13 @ SV5 ) @ SV9 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[47]) ).
thf(51,plain,
! [SV9: a,SV5: a > $o] :
( ( ( SV5 @ ( sK4_SY20 @ SV9 @ SV5 ) )
= $true )
| ( ( sK1_R @ ( sK2_SY13 @ SV5 ) @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(52,plain,
! [SV5: a > $o,SV9: a] :
( ( ( ~ ( sK1_R @ ( sK4_SY20 @ SV9 @ SV5 ) @ SV9 ) )
= $true )
| ( ( sK1_R @ ( sK2_SY13 @ SV5 ) @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(53,plain,
! [SV5: a > $o,SV9: a] :
( ( ( sK1_R @ ( sK4_SY20 @ SV9 @ SV5 ) @ SV9 )
= $false )
| ( ( sK1_R @ ( sK2_SY13 @ SV5 ) @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(54,plain,
! [SV8: a] :
( ( $true = $false )
| ( ( sK1_R @ SV8
@ ( sK2_SY13
@ ^ [SX0: a] : $true ) )
= $true ) ),
inference(prim_subst,[status(thm)],[46:[bind(SV4,$thf( ^ [SV18: a] : $true ))]]) ).
thf(56,plain,
! [SV8: a,SV16: a > $o] :
( ( ( ~ ( SV16 @ SV8 ) )
= $false )
| ( ( sK1_R @ SV8
@ ( sK2_SY13
@ ^ [SX0: a] :
~ ( SV16 @ SX0 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[46:[bind(SV4,$thf( ^ [SV15: a] : ~ ( SV16 @ SV15 ) ))]]) ).
thf(58,plain,
! [SV9: a] :
( ( $false = $true )
| ( ( sK1_R
@ ( sK2_SY13
@ ^ [SX0: a] : $false )
@ SV9 )
= $true ) ),
inference(prim_subst,[status(thm)],[51:[bind(SV5,$thf( ^ [SV13: a] : $false ))]]) ).
thf(59,plain,
! [SV9: a,SV12: a > $o] :
( ( ( ~ ( SV12
@ ( sK4_SY20 @ SV9
@ ^ [SX0: a] :
~ ( SV12 @ SX0 ) ) ) )
= $true )
| ( ( sK1_R
@ ( sK2_SY13
@ ^ [SX0: a] :
~ ( SV12 @ SX0 ) )
@ SV9 )
= $true ) ),
inference(prim_subst,[status(thm)],[51:[bind(SV5,$thf( ^ [SV11: a] : ~ ( SV12 @ SV11 ) ))]]) ).
thf(60,plain,
! [SV9: a] :
( ( ( sK1_R
@ ( sK4_SY20 @ SV9
@ ^ [SX0: a] : $true )
@ SV9 )
= $false )
| ( ( sK1_R
@ ( sK2_SY13
@ ^ [SX0: a] : $true )
@ SV9 )
= $true ) ),
inference(prim_subst,[status(thm)],[53:[bind(SV5,$thf( ^ [SV14: a] : $true ))]]) ).
thf(61,plain,
! [SV9: a] :
( ( ( sK1_R
@ ( sK4_SY20 @ SV9
@ ^ [SX0: a] : $false )
@ SV9 )
= $false )
| ( ( sK1_R
@ ( sK2_SY13
@ ^ [SX0: a] : $false )
@ SV9 )
= $true ) ),
inference(prim_subst,[status(thm)],[53:[bind(SV5,$thf( ^ [SV13: a] : $false ))]]) ).
thf(62,plain,
! [SV12: a > $o,SV9: a] :
( ( ( sK1_R
@ ( sK4_SY20 @ SV9
@ ^ [SX0: a] :
~ ( SV12 @ SX0 ) )
@ SV9 )
= $false )
| ( ( sK1_R
@ ( sK2_SY13
@ ^ [SX0: a] :
~ ( SV12 @ SX0 ) )
@ SV9 )
= $true ) ),
inference(prim_subst,[status(thm)],[53:[bind(SV5,$thf( ^ [SV11: a] : ~ ( SV12 @ SV11 ) ))]]) ).
thf(63,plain,
! [SV8: a,SV4: a > $o] :
( ( ( SV4 @ SV8 )
= $false )
| ( ( ( SV4 @ SV8 )
= ( ~ ( sK1_R @ SV8 @ ( sK2_SY13 @ SV4 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[46]) ).
thf(64,plain,
! [SV9: a,SV5: a > $o] :
( ( ( SV5 @ ( sK4_SY20 @ SV9 @ SV5 ) )
= $true )
| ( ( ( SV5 @ ( sK4_SY20 @ SV9 @ SV5 ) )
= ( sK1_R @ ( sK2_SY13 @ SV5 ) @ SV9 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[51]) ).
thf(65,plain,
! [SV8: a,SV4: a > $o] :
( ( ( ~ ( ( SV4 @ SV8 )
| ~ ( sK1_R @ SV8 @ ( sK2_SY13 @ SV4 ) ) )
| ~ ( ~ ( SV4 @ SV8 )
| ~ ~ ( sK1_R @ SV8 @ ( sK2_SY13 @ SV4 ) ) ) )
= $false )
| ( ( SV4 @ SV8 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[63]) ).
thf(66,plain,
! [SV8: a,SV4: a > $o] :
( ( ( ( SV4 @ SV8 )
= ( ~ ( sK1_R @ SV8 @ ( sK2_SY13 @ SV4 ) ) ) )
= $false )
| ( ( SV4 @ SV8 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[63]) ).
thf(67,plain,
! [SV9: a,SV5: a > $o] :
( ( ( ~ ( ( SV5 @ ( sK4_SY20 @ SV9 @ SV5 ) )
| ( sK1_R @ ( sK2_SY13 @ SV5 ) @ SV9 ) )
| ~ ( ~ ( SV5 @ ( sK4_SY20 @ SV9 @ SV5 ) )
| ~ ( sK1_R @ ( sK2_SY13 @ SV5 ) @ SV9 ) ) )
= $false )
| ( ( SV5 @ ( sK4_SY20 @ SV9 @ SV5 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[64]) ).
thf(68,plain,
! [SV9: a,SV5: a > $o] :
( ( ( ( SV5 @ ( sK4_SY20 @ SV9 @ SV5 ) )
= ( sK1_R @ ( sK2_SY13 @ SV5 ) @ SV9 ) )
= $false )
| ( ( SV5 @ ( sK4_SY20 @ SV9 @ SV5 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[64]) ).
thf(70,plain,
! [SV8: a,SV4: a > $o] :
( ( ( ~ ( ~ ( SV4 @ SV8 )
| ~ ~ ( sK1_R @ SV8 @ ( sK2_SY13 @ SV4 ) ) ) )
= $false )
| ( ( SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(71,plain,
! [SV9: a,SV5: a > $o] :
( ( ( ~ ( ( SV5 @ ( sK4_SY20 @ SV9 @ SV5 ) )
| ( sK1_R @ ( sK2_SY13 @ SV5 ) @ SV9 ) ) )
= $false )
| ( ( SV5 @ ( sK4_SY20 @ SV9 @ SV5 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(74,plain,
! [SV8: a,SV4: a > $o] :
( ( ( ~ ( SV4 @ SV8 )
| ~ ~ ( sK1_R @ SV8 @ ( sK2_SY13 @ SV4 ) ) )
= $true )
| ( ( SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(75,plain,
! [SV9: a,SV5: a > $o] :
( ( ( ( SV5 @ ( sK4_SY20 @ SV9 @ SV5 ) )
| ( sK1_R @ ( sK2_SY13 @ SV5 ) @ SV9 ) )
= $true )
| ( ( SV5 @ ( sK4_SY20 @ SV9 @ SV5 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(78,plain,
! [SV8: a,SV4: a > $o] :
( ( ( ~ ( SV4 @ SV8 ) )
= $true )
| ( ( ~ ~ ( sK1_R @ SV8 @ ( sK2_SY13 @ SV4 ) ) )
= $true )
| ( ( SV4 @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(79,plain,
! [SV9: a,SV5: a > $o] :
( ( ( SV5 @ ( sK4_SY20 @ SV9 @ SV5 ) )
= $true )
| ( ( sK1_R @ ( sK2_SY13 @ SV5 ) @ SV9 )
= $true )
| ( ( SV5 @ ( sK4_SY20 @ SV9 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(82,plain,
! [SV8: a,SV4: a > $o] :
( ( ( SV4 @ SV8 )
= $false )
| ( ( ~ ~ ( sK1_R @ SV8 @ ( sK2_SY13 @ SV4 ) ) )
= $true )
| ( ( SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(84,plain,
! [SV4: a > $o,SV8: a] :
( ( ( ~ ( sK1_R @ SV8 @ ( sK2_SY13 @ SV4 ) ) )
= $false )
| ( ( SV4 @ SV8 )
= $false )
| ( ( SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(86,plain,
! [SV4: a > $o,SV8: a] :
( ( ( sK1_R @ SV8 @ ( sK2_SY13 @ SV4 ) )
= $true )
| ( ( SV4 @ SV8 )
= $false )
| ( ( SV4 @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(87,plain,
! [SV25: a > a,SV8: a,SV24: a > a] :
( ( ( ~ ( sK1_R @ ( SV24 @ SV8 ) @ ( SV25 @ SV8 ) ) )
= $false )
| ( ( sK1_R @ ( SV24 @ SV8 ) @ ( SV25 @ SV8 ) )
= $true )
| ( ( sK1_R @ SV8
@ ( sK2_SY13
@ ^ [SX0: a] :
~ ( sK1_R @ ( SV24 @ SX0 ) @ ( SV25 @ SX0 ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[66:[bind(SV4,$thf( ^ [SX0: a] : ~ ( sK1_R @ ( SV24 @ SX0 ) @ ( SV25 @ SX0 ) ) ))]]) ).
thf(90,plain,
! [SV8: a,SV21: a > $o] :
( ( ( ~ ( SV21 @ SV8 ) )
= $false )
| ( ( ~ ( SV21 @ SV8 ) )
= $false )
| ( ( ~ ( sK1_R @ SV8
@ ( sK2_SY13
@ ^ [SX0: a] :
~ ( SV21 @ SX0 ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[66:[bind(SV4,$thf( ^ [SX0: a] : ~ ( SV21 @ SX0 ) ))]]) ).
thf(91,plain,
! [SV29: a > a,SV9: a,SV28: a > a] :
( ( ( sK1_R
@ ( SV28
@ ( sK4_SY20 @ SV9
@ ^ [SX0: a] : ( sK1_R @ ( SV28 @ SX0 ) @ ( SV29 @ SX0 ) ) ) )
@ ( SV29
@ ( sK4_SY20 @ SV9
@ ^ [SX0: a] : ( sK1_R @ ( SV28 @ SX0 ) @ ( SV29 @ SX0 ) ) ) ) )
= $true )
| ( ( sK1_R
@ ( SV28
@ ( sK4_SY20 @ SV9
@ ^ [SX0: a] : ( sK1_R @ ( SV28 @ SX0 ) @ ( SV29 @ SX0 ) ) ) )
@ ( SV29
@ ( sK4_SY20 @ SV9
@ ^ [SX0: a] : ( sK1_R @ ( SV28 @ SX0 ) @ ( SV29 @ SX0 ) ) ) ) )
= $true )
| ( ( sK1_R
@ ( sK2_SY13
@ ^ [SX0: a] : ( sK1_R @ ( SV28 @ SX0 ) @ ( SV29 @ SX0 ) ) )
@ SV9 )
= $true ) ),
inference(extuni,[status(esa)],[68:[bind(SV5,$thf( ^ [SX0: a] : ( sK1_R @ ( SV28 @ SX0 ) @ ( SV29 @ SX0 ) ) ))]]) ).
thf(93,plain,
! [SV8: a,SV21: a > $o] :
( ( ( SV21 @ SV8 )
= $true )
| ( ( ~ ( SV21 @ SV8 ) )
= $false )
| ( ( ~ ( sK1_R @ SV8
@ ( sK2_SY13
@ ^ [SX0: a] :
~ ( SV21 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(96,plain,
! [SV25: a > a,SV8: a,SV24: a > a] :
( ( ( sK1_R @ ( SV24 @ SV8 ) @ ( SV25 @ SV8 ) )
= $true )
| ( ( sK1_R @ ( SV24 @ SV8 ) @ ( SV25 @ SV8 ) )
= $true )
| ( ( sK1_R @ SV8
@ ( sK2_SY13
@ ^ [SX0: a] :
~ ( sK1_R @ ( SV24 @ SX0 ) @ ( SV25 @ SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(97,plain,
! [SV8: a,SV21: a > $o] :
( ( ( SV21 @ SV8 )
= $true )
| ( ( SV21 @ SV8 )
= $true )
| ( ( ~ ( sK1_R @ SV8
@ ( sK2_SY13
@ ^ [SX0: a] :
~ ( SV21 @ SX0 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(99,plain,
! [SV21: a > $o,SV8: a] :
( ( ( sK1_R @ SV8
@ ( sK2_SY13
@ ^ [SX0: a] :
~ ( SV21 @ SX0 ) ) )
= $true )
| ( ( SV21 @ SV8 )
= $true )
| ( ( SV21 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(101,plain,
! [SV8: a,SV16: a > $o] :
( ( ( SV16 @ SV8 )
= $true )
| ( ( sK1_R @ SV8
@ ( sK2_SY13
@ ^ [SX0: a] :
~ ( SV16 @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(102,plain,
! [SV9: a,SV12: a > $o] :
( ( ( SV12
@ ( sK4_SY20 @ SV9
@ ^ [SX0: a] :
~ ( SV12 @ SX0 ) ) )
= $false )
| ( ( sK1_R
@ ( sK2_SY13
@ ^ [SX0: a] :
~ ( SV12 @ SX0 ) )
@ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(103,plain,
! [SV4: a > $o,SV8: a] :
( ( ( sK1_R @ SV8 @ ( sK2_SY13 @ SV4 ) )
= $true )
| ( ( SV4 @ SV8 )
= $false ) ),
inference(sim,[status(thm)],[86]) ).
thf(104,plain,
! [SV21: a > $o,SV8: a] :
( ( ( sK1_R @ SV8
@ ( sK2_SY13
@ ^ [SX0: a] :
~ ( SV21 @ SX0 ) ) )
= $true )
| ( ( SV21 @ SV8 )
= $true ) ),
inference(sim,[status(thm)],[99]) ).
thf(105,plain,
! [SV25: a > a,SV8: a,SV24: a > a] :
( ( ( sK1_R @ ( SV24 @ SV8 ) @ ( SV25 @ SV8 ) )
= $true )
| ( ( sK1_R @ SV8
@ ( sK2_SY13
@ ^ [SX0: a] :
~ ( sK1_R @ ( SV24 @ SX0 ) @ ( SV25 @ SX0 ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[96]) ).
thf(106,plain,
! [SV9: a,SV5: a > $o] :
( ( ( SV5 @ ( sK4_SY20 @ SV9 @ SV5 ) )
= $true )
| ( ( sK1_R @ ( sK2_SY13 @ SV5 ) @ SV9 )
= $true ) ),
inference(sim,[status(thm)],[79]) ).
thf(107,plain,
! [SV29: a > a,SV9: a,SV28: a > a] :
( ( ( sK1_R
@ ( SV28
@ ( sK4_SY20 @ SV9
@ ^ [SX0: a] : ( sK1_R @ ( SV28 @ SX0 ) @ ( SV29 @ SX0 ) ) ) )
@ ( SV29
@ ( sK4_SY20 @ SV9
@ ^ [SX0: a] : ( sK1_R @ ( SV28 @ SX0 ) @ ( SV29 @ SX0 ) ) ) ) )
= $true )
| ( ( sK1_R
@ ( sK2_SY13
@ ^ [SX0: a] : ( sK1_R @ ( SV28 @ SX0 ) @ ( SV29 @ SX0 ) ) )
@ SV9 )
= $true ) ),
inference(sim,[status(thm)],[91]) ).
thf(108,plain,
! [SV8: a] :
( ( sK1_R @ SV8
@ ( sK2_SY13
@ ^ [SX0: a] : $true ) )
= $true ),
inference(sim,[status(thm)],[54]) ).
thf(109,plain,
! [SV9: a] :
( ( sK1_R
@ ( sK2_SY13
@ ^ [SX0: a] : $false )
@ SV9 )
= $true ),
inference(sim,[status(thm)],[58]) ).
thf(110,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[40,109,108,107,106,105,104,103,102,101,62,61,60,53,51,48,46,45]) ).
thf(111,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV054^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 05:02:26 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.18/0.34
% 0.18/0.34 No.of.Axioms: 0
% 0.18/0.34
% 0.18/0.34 Length.of.Defs: 0
% 0.18/0.34
% 0.18/0.34 Contains.Choice.Funs: false
% 0.18/0.34 (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)...eprover: CPU time limit exceeded, terminating
% 25.20/25.43 ..
% 25.87/26.11
% 25.87/26.11 ********************************
% 25.87/26.11 * All subproblems solved! *
% 25.87/26.11 ********************************
% 25.87/26.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:110,loop_count:0,foatp_calls:2,translation:fof_full)
% 25.90/26.11
% 25.90/26.11 %**** Beginning of derivation protocol ****
% 25.90/26.11 % SZS output start CNFRefutation
% See solution above
% 25.90/26.11
% 25.90/26.11 %**** End of derivation protocol ****
% 25.90/26.11 %**** no. of clauses in derivation: 93 ****
% 25.90/26.11 %**** clause counter: 110 ****
% 25.90/26.11
% 25.90/26.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:110,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------