TSTP Solution File: SEV045^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV045^5 : 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 : n009.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 17:34:30 EDT 2022
% Result : Theorem 0.20s 0.43s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 9
% Syntax : Number of formulae : 109 ( 51 unt; 8 typ; 0 def)
% Number of atoms : 720 ( 191 equ; 0 cnn)
% Maximal formula atoms : 19 ( 7 avg)
% Number of connectives : 1291 ( 137 ~; 166 |; 22 &; 917 @)
% ( 0 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 328 ( 0 ^ 328 !; 0 ?; 328 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_cP,type,
cP: a > a > $o ).
thf(tp_cQ,type,
cQ: a > b > b > $o ).
thf(tp_f,type,
f: a > b ).
thf(tp_g,type,
g: a > b ).
thf(tp_sK1_Xx,type,
sK1_Xx: a ).
thf(tp_sK2_SY18,type,
sK2_SY18: a ).
thf(1,conjecture,
( ! [Xx: a] :
( ( cP @ Xx @ Xx )
=> ( cQ @ Xx @ ( f @ Xx ) @ ( g @ Xx ) ) )
=> ( ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( cQ @ Xx @ ( f @ Xx ) @ ( f @ Xy ) ) )
=> ( ( ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( cP @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( cP @ Xx @ Xy )
& ( cP @ Xy @ Xz ) )
=> ( cP @ Xx @ Xz ) ) )
=> ( ( ! [Xx: a] :
( ( cP @ Xx @ Xx )
=> ( ! [Xx0: b,Xy: b] :
( ( cQ @ Xx @ Xx0 @ Xy )
=> ( cQ @ Xx @ Xy @ Xx0 ) )
& ! [Xx0: b,Xy: b,Xz: b] :
( ( ( cQ @ Xx @ Xx0 @ Xy )
& ( cQ @ Xx @ Xy @ Xz ) )
=> ( cQ @ Xx @ Xx0 @ Xz ) ) ) )
& ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( ( cQ @ Xx )
= ( cQ @ Xy ) ) ) )
=> ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( cQ @ Xx @ ( f @ Xx ) @ ( g @ Xy ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM509_pme) ).
thf(2,negated_conjecture,
( ( ! [Xx: a] :
( ( cP @ Xx @ Xx )
=> ( cQ @ Xx @ ( f @ Xx ) @ ( g @ Xx ) ) )
=> ( ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( cQ @ Xx @ ( f @ Xx ) @ ( f @ Xy ) ) )
=> ( ( ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( cP @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( cP @ Xx @ Xy )
& ( cP @ Xy @ Xz ) )
=> ( cP @ Xx @ Xz ) ) )
=> ( ( ! [Xx: a] :
( ( cP @ Xx @ Xx )
=> ( ! [Xx0: b,Xy: b] :
( ( cQ @ Xx @ Xx0 @ Xy )
=> ( cQ @ Xx @ Xy @ Xx0 ) )
& ! [Xx0: b,Xy: b,Xz: b] :
( ( ( cQ @ Xx @ Xx0 @ Xy )
& ( cQ @ Xx @ Xy @ Xz ) )
=> ( cQ @ Xx @ Xx0 @ Xz ) ) ) )
& ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( ( cQ @ Xx )
= ( cQ @ Xy ) ) ) )
=> ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( cQ @ Xx @ ( f @ Xx ) @ ( g @ Xy ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xx: a] :
( ( cP @ Xx @ Xx )
=> ( cQ @ Xx @ ( f @ Xx ) @ ( g @ Xx ) ) )
=> ( ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( cQ @ Xx @ ( f @ Xx ) @ ( f @ Xy ) ) )
=> ( ( ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( cP @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( cP @ Xx @ Xy )
& ( cP @ Xy @ Xz ) )
=> ( cP @ Xx @ Xz ) ) )
=> ( ( ! [Xx: a] :
( ( cP @ Xx @ Xx )
=> ( ! [Xx0: b,Xy: b] :
( ( cQ @ Xx @ Xx0 @ Xy )
=> ( cQ @ Xx @ Xy @ Xx0 ) )
& ! [Xx0: b,Xy: b,Xz: b] :
( ( ( cQ @ Xx @ Xx0 @ Xy )
& ( cQ @ Xx @ Xy @ Xz ) )
=> ( cQ @ Xx @ Xx0 @ Xz ) ) ) )
& ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( ( cQ @ Xx )
= ( cQ @ Xy ) ) ) )
=> ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( cQ @ Xx @ ( f @ Xx ) @ ( g @ Xy ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xx: a] :
( ( cP @ Xx @ Xx )
=> ( cQ @ Xx @ ( f @ Xx ) @ ( g @ Xx ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( cQ @ Xx @ ( f @ Xx ) @ ( f @ Xy ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( cP @ Xy @ Xx ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( cP @ Xx @ Xy )
& ( cP @ Xy @ Xz ) )
=> ( cP @ Xx @ Xz ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ! [Xx: a] :
( ( cP @ Xx @ Xx )
=> ( ! [Xx0: b,Xy: b] :
( ( cQ @ Xx @ Xx0 @ Xy )
=> ( cQ @ Xx @ Xy @ Xx0 ) )
& ! [Xx0: b,Xy: b,Xz: b] :
( ( ( cQ @ Xx @ Xx0 @ Xy )
& ( cQ @ Xx @ Xy @ Xz ) )
=> ( cQ @ Xx @ Xx0 @ Xz ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(9,plain,
( ( ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( ( cQ @ Xx )
= ( cQ @ Xy ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(10,plain,
( ( ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( cQ @ Xx @ ( f @ Xx ) @ ( g @ Xy ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(11,plain,
( ( ~ ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( cQ @ Xx @ ( f @ Xx ) @ ( g @ Xy ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(12,plain,
( ( ( cP @ sK1_Xx @ sK2_SY18 )
& ~ ( cQ @ sK1_Xx @ ( f @ sK1_Xx ) @ ( g @ sK2_SY18 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(13,plain,
( ( ! [Xx: a] :
( ~ ( cP @ Xx @ Xx )
| ( cQ @ Xx @ ( f @ Xx ) @ ( g @ Xx ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(14,plain,
( ( ! [Xx: a,Xy: a] :
( ~ ( cP @ Xx @ Xy )
| ( cQ @ Xx @ ( f @ Xx ) @ ( f @ Xy ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(15,plain,
( ( ! [Xx: a,Xy: a] :
( ~ ( cP @ Xx @ Xy )
| ( cP @ Xy @ Xx ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(16,plain,
( ( ! [Xx: a,Xy: a,Xz: a] :
( ~ ( cP @ Xx @ Xy )
| ~ ( cP @ Xy @ Xz )
| ( cP @ Xx @ Xz ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(17,plain,
( ( ! [Xx: a] :
( ~ ( cP @ Xx @ Xx )
| ! [Xx0: b,Xy: b] :
( ~ ( cQ @ Xx @ Xx0 @ Xy )
| ( cQ @ Xx @ Xy @ Xx0 ) ) )
& ! [Xx: a] :
( ~ ( cP @ Xx @ Xx )
| ! [Xx0: b,Xy: b,Xz: b] :
( ~ ( cQ @ Xx @ Xx0 @ Xy )
| ~ ( cQ @ Xx @ Xy @ Xz )
| ( cQ @ Xx @ Xx0 @ Xz ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(18,plain,
( ( ! [Xx: a,Xy: a] :
( ~ ( cP @ Xx @ Xy )
| ( ( cQ @ Xx )
= ( cQ @ Xy ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(19,plain,
( ( ! [Xx: a,Xy: a] :
( ~ ( cP @ Xx @ Xy )
| ( ( cQ @ Xx )
= ( cQ @ Xy ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(20,plain,
( ( ! [Xx: a] :
( ~ ( cP @ Xx @ Xx )
| ! [Xx0: b,Xy: b] :
( ~ ( cQ @ Xx @ Xx0 @ Xy )
| ( cQ @ Xx @ Xy @ Xx0 ) ) )
& ! [Xx: a] :
( ~ ( cP @ Xx @ Xx )
| ! [Xx0: b,Xy: b,Xz: b] :
( ~ ( cQ @ Xx @ Xx0 @ Xy )
| ~ ( cQ @ Xx @ Xy @ Xz )
| ( cQ @ Xx @ Xx0 @ Xz ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(21,plain,
( ( ! [Xx: a,Xy: a,Xz: a] :
( ~ ( cP @ Xx @ Xy )
| ~ ( cP @ Xy @ Xz )
| ( cP @ Xx @ Xz ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(22,plain,
( ( ! [Xx: a,Xy: a] :
( ~ ( cP @ Xx @ Xy )
| ( cP @ Xy @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(23,plain,
( ( ! [Xx: a,Xy: a] :
( ~ ( cP @ Xx @ Xy )
| ( cQ @ Xx @ ( f @ Xx ) @ ( f @ Xy ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(24,plain,
( ( ! [Xx: a] :
( ~ ( cP @ Xx @ Xx )
| ( cQ @ Xx @ ( f @ Xx ) @ ( g @ Xx ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(25,plain,
( ( ( cP @ sK1_Xx @ sK2_SY18 )
& ~ ( cQ @ sK1_Xx @ ( f @ sK1_Xx ) @ ( g @ sK2_SY18 ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(26,plain,
( ( ~ ( ~ ! [SX0: a] :
( ~ ( cP @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( cQ @ SX0 @ SX1 @ SX2 )
| ( cQ @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ~ ( cP @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( cQ @ SX0 @ SX1 @ SX2 )
| ~ ( cQ @ SX0 @ SX2 @ SX3 )
| ( cQ @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(27,plain,
( ( ~ ( ~ ( cP @ sK1_Xx @ sK2_SY18 )
| ~ ~ ( cQ @ sK1_Xx @ ( f @ sK1_Xx ) @ ( g @ sK2_SY18 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(28,plain,
! [SV1: a] :
( ( ! [SY19: a] :
( ~ ( cP @ SV1 @ SY19 )
| ( ( cQ @ SV1 )
= ( cQ @ SY19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(29,plain,
! [SV2: a] :
( ( ! [SY20: a,SY21: a] :
( ~ ( cP @ SV2 @ SY20 )
| ~ ( cP @ SY20 @ SY21 )
| ( cP @ SV2 @ SY21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(30,plain,
! [SV3: a] :
( ( ! [SY22: a] :
( ~ ( cP @ SV3 @ SY22 )
| ( cP @ SY22 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(31,plain,
! [SV4: a] :
( ( ! [SY23: a] :
( ~ ( cP @ SV4 @ SY23 )
| ( cQ @ SV4 @ ( f @ SV4 ) @ ( f @ SY23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(32,plain,
! [SV5: a] :
( ( ~ ( cP @ SV5 @ SV5 )
| ( cQ @ SV5 @ ( f @ SV5 ) @ ( g @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(33,plain,
( ( ~ ! [SX0: a] :
( ~ ( cP @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( cQ @ SX0 @ SX1 @ SX2 )
| ( cQ @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ~ ( cP @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( cQ @ SX0 @ SX1 @ SX2 )
| ~ ( cQ @ SX0 @ SX2 @ SX3 )
| ( cQ @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(34,plain,
( ( ~ ( cP @ sK1_Xx @ sK2_SY18 )
| ~ ~ ( cQ @ sK1_Xx @ ( f @ sK1_Xx ) @ ( g @ sK2_SY18 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(35,plain,
! [SV6: a,SV1: a] :
( ( ~ ( cP @ SV1 @ SV6 )
| ( ( cQ @ SV1 )
= ( cQ @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(36,plain,
! [SV7: a,SV2: a] :
( ( ! [SY24: a] :
( ~ ( cP @ SV2 @ SV7 )
| ~ ( cP @ SV7 @ SY24 )
| ( cP @ SV2 @ SY24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(37,plain,
! [SV8: a,SV3: a] :
( ( ~ ( cP @ SV3 @ SV8 )
| ( cP @ SV8 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(38,plain,
! [SV9: a,SV4: a] :
( ( ~ ( cP @ SV4 @ SV9 )
| ( cQ @ SV4 @ ( f @ SV4 ) @ ( f @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(39,plain,
! [SV5: a] :
( ( ( ~ ( cP @ SV5 @ SV5 ) )
= $true )
| ( ( cQ @ SV5 @ ( f @ SV5 ) @ ( g @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(40,plain,
( ( ~ ! [SX0: a] :
( ~ ( cP @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( cQ @ SX0 @ SX1 @ SX2 )
| ( cQ @ SX0 @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(41,plain,
( ( ~ ! [SX0: a] :
( ~ ( cP @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( cQ @ SX0 @ SX1 @ SX2 )
| ~ ( cQ @ SX0 @ SX2 @ SX3 )
| ( cQ @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(42,plain,
( ( ~ ( cP @ sK1_Xx @ sK2_SY18 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(43,plain,
( ( ~ ~ ( cQ @ sK1_Xx @ ( f @ sK1_Xx ) @ ( g @ sK2_SY18 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(44,plain,
! [SV6: a,SV1: a] :
( ( ( ~ ( cP @ SV1 @ SV6 ) )
= $true )
| ( ( ( cQ @ SV1 )
= ( cQ @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(45,plain,
! [SV10: a,SV7: a,SV2: a] :
( ( ~ ( cP @ SV2 @ SV7 )
| ~ ( cP @ SV7 @ SV10 )
| ( cP @ SV2 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(46,plain,
! [SV8: a,SV3: a] :
( ( ( ~ ( cP @ SV3 @ SV8 ) )
= $true )
| ( ( cP @ SV8 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(47,plain,
! [SV9: a,SV4: a] :
( ( ( ~ ( cP @ SV4 @ SV9 ) )
= $true )
| ( ( cQ @ SV4 @ ( f @ SV4 ) @ ( f @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(48,plain,
! [SV5: a] :
( ( ( cP @ SV5 @ SV5 )
= $false )
| ( ( cQ @ SV5 @ ( f @ SV5 ) @ ( g @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(49,plain,
( ( ! [SX0: a] :
( ~ ( cP @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( cQ @ SX0 @ SX1 @ SX2 )
| ( cQ @ SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(50,plain,
( ( ! [SX0: a] :
( ~ ( cP @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( cQ @ SX0 @ SX1 @ SX2 )
| ~ ( cQ @ SX0 @ SX2 @ SX3 )
| ( cQ @ SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(51,plain,
( ( cP @ sK1_Xx @ sK2_SY18 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(52,plain,
( ( ~ ( cQ @ sK1_Xx @ ( f @ sK1_Xx ) @ ( g @ sK2_SY18 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(53,plain,
! [SV6: a,SV1: a] :
( ( ( cP @ SV1 @ SV6 )
= $false )
| ( ( ( cQ @ SV1 )
= ( cQ @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(54,plain,
! [SV10: a,SV7: a,SV2: a] :
( ( ( ~ ( cP @ SV2 @ SV7 )
| ~ ( cP @ SV7 @ SV10 ) )
= $true )
| ( ( cP @ SV2 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(55,plain,
! [SV8: a,SV3: a] :
( ( ( cP @ SV3 @ SV8 )
= $false )
| ( ( cP @ SV8 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(56,plain,
! [SV9: a,SV4: a] :
( ( ( cP @ SV4 @ SV9 )
= $false )
| ( ( cQ @ SV4 @ ( f @ SV4 ) @ ( f @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(57,plain,
! [SV11: a] :
( ( ~ ( cP @ SV11 @ SV11 )
| ! [SY25: b,SY26: b] :
( ~ ( cQ @ SV11 @ SY25 @ SY26 )
| ( cQ @ SV11 @ SY26 @ SY25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(58,plain,
! [SV12: a] :
( ( ~ ( cP @ SV12 @ SV12 )
| ! [SY27: b,SY28: b,SY29: b] :
( ~ ( cQ @ SV12 @ SY27 @ SY28 )
| ~ ( cQ @ SV12 @ SY28 @ SY29 )
| ( cQ @ SV12 @ SY27 @ SY29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(59,plain,
( ( cQ @ sK1_Xx @ ( f @ sK1_Xx ) @ ( g @ sK2_SY18 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(60,plain,
! [SV6: a,SV1: a] :
( ( ( ! [SV13: b] :
( ( cQ @ SV1 @ SV13 )
= ( cQ @ SV6 @ SV13 ) ) )
= $true )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[53]) ).
thf(61,plain,
! [SV6: a,SV1: a] :
( ( ( ( cQ @ SV1 )
= ( cQ @ SV6 ) )
= $true )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[53]) ).
thf(62,plain,
! [SV10: a,SV7: a,SV2: a] :
( ( ( ~ ( cP @ SV2 @ SV7 ) )
= $true )
| ( ( ~ ( cP @ SV7 @ SV10 ) )
= $true )
| ( ( cP @ SV2 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(63,plain,
! [SV11: a] :
( ( ( ~ ( cP @ SV11 @ SV11 ) )
= $true )
| ( ( ! [SY25: b,SY26: b] :
( ~ ( cQ @ SV11 @ SY25 @ SY26 )
| ( cQ @ SV11 @ SY26 @ SY25 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(64,plain,
! [SV12: a] :
( ( ( ~ ( cP @ SV12 @ SV12 ) )
= $true )
| ( ( ! [SY27: b,SY28: b,SY29: b] :
( ~ ( cQ @ SV12 @ SY27 @ SY28 )
| ~ ( cQ @ SV12 @ SY28 @ SY29 )
| ( cQ @ SV12 @ SY27 @ SY29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(65,plain,
! [SV6: a,SV14: b,SV1: a] :
( ( ( ( cQ @ SV1 @ SV14 )
= ( cQ @ SV6 @ SV14 ) )
= $true )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(66,plain,
! [SV10: a,SV7: a,SV2: a] :
( ( ( cP @ SV2 @ SV7 )
= $false )
| ( ( ~ ( cP @ SV7 @ SV10 ) )
= $true )
| ( ( cP @ SV2 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(67,plain,
! [SV11: a] :
( ( ( cP @ SV11 @ SV11 )
= $false )
| ( ( ! [SY25: b,SY26: b] :
( ~ ( cQ @ SV11 @ SY25 @ SY26 )
| ( cQ @ SV11 @ SY26 @ SY25 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(68,plain,
! [SV12: a] :
( ( ( cP @ SV12 @ SV12 )
= $false )
| ( ( ! [SY27: b,SY28: b,SY29: b] :
( ~ ( cQ @ SV12 @ SY27 @ SY28 )
| ~ ( cQ @ SV12 @ SY28 @ SY29 )
| ( cQ @ SV12 @ SY27 @ SY29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(69,plain,
! [SV6: a,SV14: b,SV1: a] :
( ( ( ! [SV15: b] :
( ( cQ @ SV1 @ SV14 @ SV15 )
= ( cQ @ SV6 @ SV14 @ SV15 ) ) )
= $true )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[65]) ).
thf(70,plain,
! [SV6: a,SV14: b,SV1: a] :
( ( ( ( cQ @ SV1 @ SV14 )
= ( cQ @ SV6 @ SV14 ) )
= $true )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[65]) ).
thf(71,plain,
! [SV2: a,SV10: a,SV7: a] :
( ( ( cP @ SV7 @ SV10 )
= $false )
| ( ( cP @ SV2 @ SV7 )
= $false )
| ( ( cP @ SV2 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(72,plain,
! [SV16: b,SV11: a] :
( ( ( ! [SY30: b] :
( ~ ( cQ @ SV11 @ SV16 @ SY30 )
| ( cQ @ SV11 @ SY30 @ SV16 ) ) )
= $true )
| ( ( cP @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(73,plain,
! [SV17: b,SV12: a] :
( ( ( ! [SY31: b,SY32: b] :
( ~ ( cQ @ SV12 @ SV17 @ SY31 )
| ~ ( cQ @ SV12 @ SY31 @ SY32 )
| ( cQ @ SV12 @ SV17 @ SY32 ) ) )
= $true )
| ( ( cP @ SV12 @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(74,plain,
! [SV6: a,SV18: b,SV14: b,SV1: a] :
( ( ( ( cQ @ SV1 @ SV14 @ SV18 )
= ( cQ @ SV6 @ SV14 @ SV18 ) )
= $true )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(75,plain,
! [SV19: b,SV16: b,SV11: a] :
( ( ( ~ ( cQ @ SV11 @ SV16 @ SV19 )
| ( cQ @ SV11 @ SV19 @ SV16 ) )
= $true )
| ( ( cP @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(76,plain,
! [SV20: b,SV17: b,SV12: a] :
( ( ( ! [SY33: b] :
( ~ ( cQ @ SV12 @ SV17 @ SV20 )
| ~ ( cQ @ SV12 @ SV20 @ SY33 )
| ( cQ @ SV12 @ SV17 @ SY33 ) ) )
= $true )
| ( ( cP @ SV12 @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(77,plain,
! [SV6: a,SV18: b,SV14: b,SV1: a] :
( ( ( ~ ( ( cQ @ SV1 @ SV14 @ SV18 )
| ( cQ @ SV6 @ SV14 @ SV18 ) )
| ~ ( ~ ( cQ @ SV1 @ SV14 @ SV18 )
| ~ ( cQ @ SV6 @ SV14 @ SV18 ) ) )
= $true )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[74]) ).
thf(78,plain,
! [SV6: a,SV18: b,SV14: b,SV1: a] :
( ( ( ( cQ @ SV1 @ SV14 @ SV18 )
= ( cQ @ SV6 @ SV14 @ SV18 ) )
= $true )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[74]) ).
thf(79,plain,
! [SV19: b,SV16: b,SV11: a] :
( ( ( ~ ( cQ @ SV11 @ SV16 @ SV19 ) )
= $true )
| ( ( cQ @ SV11 @ SV19 @ SV16 )
= $true )
| ( ( cP @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(80,plain,
! [SV21: b,SV20: b,SV17: b,SV12: a] :
( ( ( ~ ( cQ @ SV12 @ SV17 @ SV20 )
| ~ ( cQ @ SV12 @ SV20 @ SV21 )
| ( cQ @ SV12 @ SV17 @ SV21 ) )
= $true )
| ( ( cP @ SV12 @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(81,plain,
! [SV6: a,SV18: b,SV14: b,SV1: a] :
( ( ( ~ ( ( cQ @ SV1 @ SV14 @ SV18 )
| ( cQ @ SV6 @ SV14 @ SV18 ) ) )
= $true )
| ( ( ~ ( ~ ( cQ @ SV1 @ SV14 @ SV18 )
| ~ ( cQ @ SV6 @ SV14 @ SV18 ) ) )
= $true )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(82,plain,
! [SV19: b,SV16: b,SV11: a] :
( ( ( cQ @ SV11 @ SV16 @ SV19 )
= $false )
| ( ( cQ @ SV11 @ SV19 @ SV16 )
= $true )
| ( ( cP @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(83,plain,
! [SV21: b,SV20: b,SV17: b,SV12: a] :
( ( ( ~ ( cQ @ SV12 @ SV17 @ SV20 )
| ~ ( cQ @ SV12 @ SV20 @ SV21 ) )
= $true )
| ( ( cQ @ SV12 @ SV17 @ SV21 )
= $true )
| ( ( cP @ SV12 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(84,plain,
! [SV6: a,SV18: b,SV14: b,SV1: a] :
( ( ( ( cQ @ SV1 @ SV14 @ SV18 )
| ( cQ @ SV6 @ SV14 @ SV18 ) )
= $false )
| ( ( ~ ( ~ ( cQ @ SV1 @ SV14 @ SV18 )
| ~ ( cQ @ SV6 @ SV14 @ SV18 ) ) )
= $true )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(85,plain,
! [SV21: b,SV20: b,SV17: b,SV12: a] :
( ( ( ~ ( cQ @ SV12 @ SV17 @ SV20 ) )
= $true )
| ( ( ~ ( cQ @ SV12 @ SV20 @ SV21 ) )
= $true )
| ( ( cQ @ SV12 @ SV17 @ SV21 )
= $true )
| ( ( cP @ SV12 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(86,plain,
! [SV6: a,SV18: b,SV14: b,SV1: a] :
( ( ( cQ @ SV1 @ SV14 @ SV18 )
= $false )
| ( ( ~ ( ~ ( cQ @ SV1 @ SV14 @ SV18 )
| ~ ( cQ @ SV6 @ SV14 @ SV18 ) ) )
= $true )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(87,plain,
! [SV1: a,SV18: b,SV14: b,SV6: a] :
( ( ( cQ @ SV6 @ SV14 @ SV18 )
= $false )
| ( ( ~ ( ~ ( cQ @ SV1 @ SV14 @ SV18 )
| ~ ( cQ @ SV6 @ SV14 @ SV18 ) ) )
= $true )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(88,plain,
! [SV21: b,SV20: b,SV17: b,SV12: a] :
( ( ( cQ @ SV12 @ SV17 @ SV20 )
= $false )
| ( ( ~ ( cQ @ SV12 @ SV20 @ SV21 ) )
= $true )
| ( ( cQ @ SV12 @ SV17 @ SV21 )
= $true )
| ( ( cP @ SV12 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(89,plain,
! [SV6: a,SV18: b,SV14: b,SV1: a] :
( ( ( ~ ( cQ @ SV1 @ SV14 @ SV18 )
| ~ ( cQ @ SV6 @ SV14 @ SV18 ) )
= $false )
| ( ( cQ @ SV1 @ SV14 @ SV18 )
= $false )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(90,plain,
! [SV6: a,SV18: b,SV14: b,SV1: a] :
( ( ( ~ ( cQ @ SV1 @ SV14 @ SV18 )
| ~ ( cQ @ SV6 @ SV14 @ SV18 ) )
= $false )
| ( ( cQ @ SV6 @ SV14 @ SV18 )
= $false )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(91,plain,
! [SV17: b,SV21: b,SV20: b,SV12: a] :
( ( ( cQ @ SV12 @ SV20 @ SV21 )
= $false )
| ( ( cQ @ SV12 @ SV17 @ SV20 )
= $false )
| ( ( cQ @ SV12 @ SV17 @ SV21 )
= $true )
| ( ( cP @ SV12 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(92,plain,
! [SV6: a,SV18: b,SV14: b,SV1: a] :
( ( ( ~ ( cQ @ SV1 @ SV14 @ SV18 ) )
= $false )
| ( ( cQ @ SV1 @ SV14 @ SV18 )
= $false )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(93,plain,
! [SV1: a,SV18: b,SV14: b,SV6: a] :
( ( ( ~ ( cQ @ SV6 @ SV14 @ SV18 ) )
= $false )
| ( ( cQ @ SV1 @ SV14 @ SV18 )
= $false )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[89]) ).
thf(94,plain,
! [SV6: a,SV18: b,SV14: b,SV1: a] :
( ( ( ~ ( cQ @ SV1 @ SV14 @ SV18 ) )
= $false )
| ( ( cQ @ SV6 @ SV14 @ SV18 )
= $false )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(95,plain,
! [SV1: a,SV18: b,SV14: b,SV6: a] :
( ( ( ~ ( cQ @ SV6 @ SV14 @ SV18 ) )
= $false )
| ( ( cQ @ SV6 @ SV14 @ SV18 )
= $false )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(96,plain,
! [SV6: a,SV18: b,SV14: b,SV1: a] :
( ( ( cQ @ SV1 @ SV14 @ SV18 )
= $true )
| ( ( cQ @ SV1 @ SV14 @ SV18 )
= $false )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(97,plain,
! [SV1: a,SV18: b,SV14: b,SV6: a] :
( ( ( cQ @ SV6 @ SV14 @ SV18 )
= $true )
| ( ( cQ @ SV1 @ SV14 @ SV18 )
= $false )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(98,plain,
! [SV6: a,SV18: b,SV14: b,SV1: a] :
( ( ( cQ @ SV1 @ SV14 @ SV18 )
= $true )
| ( ( cQ @ SV6 @ SV14 @ SV18 )
= $false )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(99,plain,
! [SV1: a,SV18: b,SV14: b,SV6: a] :
( ( ( cQ @ SV6 @ SV14 @ SV18 )
= $true )
| ( ( cQ @ SV6 @ SV14 @ SV18 )
= $false )
| ( ( cP @ SV1 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(100,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[48,99,98,97,96,91,82,78,71,70,61,59,56,55,51]) ).
thf(101,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV045^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n009.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
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 600
% 0.19/0.34 % DateTime : Tue Jun 28 08:31:07 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.35
% 0.19/0.35 No.of.Axioms: 0
% 0.19/0.35
% 0.19/0.35 Length.of.Defs: 0
% 0.19/0.35
% 0.19/0.35 Contains.Choice.Funs: false
% 0.19/0.36 (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).....
% 0.20/0.43
% 0.20/0.43 ********************************
% 0.20/0.43 * All subproblems solved! *
% 0.20/0.43 ********************************
% 0.20/0.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,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:100,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.44
% 0.20/0.44 %**** Beginning of derivation protocol ****
% 0.20/0.44 % SZS output start CNFRefutation
% See solution above
% 0.20/0.44
% 0.20/0.44 %**** End of derivation protocol ****
% 0.20/0.44 %**** no. of clauses in derivation: 101 ****
% 0.20/0.44 %**** clause counter: 100 ****
% 0.20/0.44
% 0.20/0.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,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:100,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------