TSTP Solution File: SEV002^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV002^5 : 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 : n012.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 17:34:18 EDT 2022
% Result : Theorem 0.46s 0.65s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 60 ( 53 unt; 6 typ; 0 def)
% Number of atoms : 208 ( 154 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 709 ( 3 ~; 0 |; 45 &; 656 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 2 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 236 ( 0 ^ 236 !; 0 ?; 236 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_JOIN,type,
sK1_JOIN: a > a > a ).
thf(tp_sK2_SY27,type,
sK2_SY27: a > a > a ).
thf(tp_sK3_SY75,type,
sK3_SY75: a ).
thf(tp_sK4_SY78,type,
sK4_SY78: a ).
thf(tp_sK5_SY80,type,
sK5_SY80: a ).
thf(1,conjecture,
! [JOIN: a > a > a,MEET: a > a > a] :
( ( ! [Xx: a] :
( ( JOIN @ Xx @ Xx )
= Xx )
& ! [Xx: a] :
( ( MEET @ Xx @ Xx )
= Xx )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
= ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
= ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ Xx @ Xy )
= ( JOIN @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( MEET @ Xx @ Xy )
= ( MEET @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a] :
( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
= ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) ) )
=> ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ Xx @ ( MEET @ Xy @ ( JOIN @ Xx @ Xz ) ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cMODULAR_THM_DEF2_pme) ).
thf(2,negated_conjecture,
( ( ! [JOIN: a > a > a,MEET: a > a > a] :
( ( ! [Xx: a] :
( ( JOIN @ Xx @ Xx )
= Xx )
& ! [Xx: a] :
( ( MEET @ Xx @ Xx )
= Xx )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
= ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
= ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ Xx @ Xy )
= ( JOIN @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( MEET @ Xx @ Xy )
= ( MEET @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a] :
( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
= ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) ) )
=> ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ Xx @ ( MEET @ Xy @ ( JOIN @ Xx @ Xz ) ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [JOIN: a > a > a,MEET: a > a > a] :
( ( ! [Xx: a] :
( ( JOIN @ Xx @ Xx )
= Xx )
& ! [Xx: a] :
( ( MEET @ Xx @ Xx )
= Xx )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
= ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
= ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ Xx @ Xy )
= ( JOIN @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( MEET @ Xx @ Xy )
= ( MEET @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a] :
( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
= ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) ) )
=> ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ Xx @ ( MEET @ Xy @ ( JOIN @ Xx @ Xz ) ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY27: a > a > a] :
( ( ! [SY28: a] :
( ( sK1_JOIN @ SY28 @ SY28 )
= SY28 )
& ! [Xx: a] :
( ( SY27 @ Xx @ Xx )
= Xx )
& ! [SY30: a,SY31: a,SY32: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SY30 @ SY31 ) @ SY32 )
= ( sK1_JOIN @ SY30 @ ( sK1_JOIN @ SY31 @ SY32 ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( SY27 @ ( SY27 @ Xx @ Xy ) @ Xz )
= ( SY27 @ Xx @ ( SY27 @ Xy @ Xz ) ) )
& ! [SY36: a,SY37: a] :
( ( sK1_JOIN @ SY36 @ SY37 )
= ( sK1_JOIN @ SY37 @ SY36 ) )
& ! [Xx: a,Xy: a] :
( ( SY27 @ Xx @ Xy )
= ( SY27 @ Xy @ Xx ) )
& ! [SY40: a,SY41: a] :
( ( sK1_JOIN @ ( SY27 @ SY40 @ SY41 ) @ SY41 )
= SY41 )
& ! [SY42: a,SY43: a] :
( ( SY27 @ ( sK1_JOIN @ SY42 @ SY43 ) @ SY43 )
= SY43 )
& ! [SY44: a,SY45: a,SY46: a] :
( ( sK1_JOIN @ SY44 @ ( SY27 @ SY45 @ SY46 ) )
= ( SY27 @ ( sK1_JOIN @ SY44 @ SY45 ) @ ( sK1_JOIN @ SY44 @ SY46 ) ) )
& ! [SY47: a,SY48: a,SY49: a] :
( ( SY27 @ SY47 @ ( sK1_JOIN @ SY48 @ SY49 ) )
= ( sK1_JOIN @ ( SY27 @ SY47 @ SY48 ) @ ( SY27 @ SY47 @ SY49 ) ) ) )
=> ! [SY50: a,SY51: a,SY52: a] :
( ( sK1_JOIN @ SY50 @ ( SY27 @ SY51 @ ( sK1_JOIN @ SY50 @ SY52 ) ) )
= ( SY27 @ ( sK1_JOIN @ SY50 @ SY51 ) @ ( sK1_JOIN @ SY50 @ SY52 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ( ! [SY28: a] :
( ( sK1_JOIN @ SY28 @ SY28 )
= SY28 )
& ! [SY54: a] :
( ( sK2_SY27 @ SY54 @ SY54 )
= SY54 )
& ! [SY30: a,SY31: a,SY32: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SY30 @ SY31 ) @ SY32 )
= ( sK1_JOIN @ SY30 @ ( sK1_JOIN @ SY31 @ SY32 ) ) )
& ! [SY58: a,SY59: a,SY60: a] :
( ( sK2_SY27 @ ( sK2_SY27 @ SY58 @ SY59 ) @ SY60 )
= ( sK2_SY27 @ SY58 @ ( sK2_SY27 @ SY59 @ SY60 ) ) )
& ! [SY36: a,SY37: a] :
( ( sK1_JOIN @ SY36 @ SY37 )
= ( sK1_JOIN @ SY37 @ SY36 ) )
& ! [SY63: a,SY64: a] :
( ( sK2_SY27 @ SY63 @ SY64 )
= ( sK2_SY27 @ SY64 @ SY63 ) )
& ! [SY65: a,SY66: a] :
( ( sK1_JOIN @ ( sK2_SY27 @ SY65 @ SY66 ) @ SY66 )
= SY66 )
& ! [SY67: a,SY68: a] :
( ( sK2_SY27 @ ( sK1_JOIN @ SY67 @ SY68 ) @ SY68 )
= SY68 )
& ! [SY69: a,SY70: a,SY71: a] :
( ( sK1_JOIN @ SY69 @ ( sK2_SY27 @ SY70 @ SY71 ) )
= ( sK2_SY27 @ ( sK1_JOIN @ SY69 @ SY70 ) @ ( sK1_JOIN @ SY69 @ SY71 ) ) )
& ! [SY72: a,SY73: a,SY74: a] :
( ( sK2_SY27 @ SY72 @ ( sK1_JOIN @ SY73 @ SY74 ) )
= ( sK1_JOIN @ ( sK2_SY27 @ SY72 @ SY73 ) @ ( sK2_SY27 @ SY72 @ SY74 ) ) ) )
=> ! [SY75: a,SY76: a,SY77: a] :
( ( sK1_JOIN @ SY75 @ ( sK2_SY27 @ SY76 @ ( sK1_JOIN @ SY75 @ SY77 ) ) )
= ( sK2_SY27 @ ( sK1_JOIN @ SY75 @ SY76 ) @ ( sK1_JOIN @ SY75 @ SY77 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY28: a] :
( ( sK1_JOIN @ SY28 @ SY28 )
= SY28 ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY54: a] :
( ( sK2_SY27 @ SY54 @ SY54 )
= SY54 ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( ! [SY30: a,SY31: a,SY32: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SY30 @ SY31 ) @ SY32 )
= ( sK1_JOIN @ SY30 @ ( sK1_JOIN @ SY31 @ SY32 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(9,plain,
( ( ! [SY58: a,SY59: a,SY60: a] :
( ( sK2_SY27 @ ( sK2_SY27 @ SY58 @ SY59 ) @ SY60 )
= ( sK2_SY27 @ SY58 @ ( sK2_SY27 @ SY59 @ SY60 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(10,plain,
( ( ! [SY36: a,SY37: a] :
( ( sK1_JOIN @ SY36 @ SY37 )
= ( sK1_JOIN @ SY37 @ SY36 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(11,plain,
( ( ! [SY63: a,SY64: a] :
( ( sK2_SY27 @ SY63 @ SY64 )
= ( sK2_SY27 @ SY64 @ SY63 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(12,plain,
( ( ! [SY65: a,SY66: a] :
( ( sK1_JOIN @ ( sK2_SY27 @ SY65 @ SY66 ) @ SY66 )
= SY66 ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(13,plain,
( ( ! [SY67: a,SY68: a] :
( ( sK2_SY27 @ ( sK1_JOIN @ SY67 @ SY68 ) @ SY68 )
= SY68 ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(14,plain,
( ( ! [SY69: a,SY70: a,SY71: a] :
( ( sK1_JOIN @ SY69 @ ( sK2_SY27 @ SY70 @ SY71 ) )
= ( sK2_SY27 @ ( sK1_JOIN @ SY69 @ SY70 ) @ ( sK1_JOIN @ SY69 @ SY71 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(15,plain,
( ( ! [SY72: a,SY73: a,SY74: a] :
( ( sK2_SY27 @ SY72 @ ( sK1_JOIN @ SY73 @ SY74 ) )
= ( sK1_JOIN @ ( sK2_SY27 @ SY72 @ SY73 ) @ ( sK2_SY27 @ SY72 @ SY74 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(16,plain,
( ( ! [SY75: a,SY76: a,SY77: a] :
( ( sK1_JOIN @ SY75 @ ( sK2_SY27 @ SY76 @ ( sK1_JOIN @ SY75 @ SY77 ) ) )
= ( sK2_SY27 @ ( sK1_JOIN @ SY75 @ SY76 ) @ ( sK1_JOIN @ SY75 @ SY77 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(17,plain,
( ( ~ ! [SY75: a,SY76: a,SY77: a] :
( ( sK1_JOIN @ SY75 @ ( sK2_SY27 @ SY76 @ ( sK1_JOIN @ SY75 @ SY77 ) ) )
= ( sK2_SY27 @ ( sK1_JOIN @ SY75 @ SY76 ) @ ( sK1_JOIN @ SY75 @ SY77 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[16]) ).
thf(18,plain,
( ( ( ( sK1_JOIN @ sK3_SY75 @ ( sK2_SY27 @ sK4_SY78 @ ( sK1_JOIN @ sK3_SY75 @ sK5_SY80 ) ) )
!= ( sK2_SY27 @ ( sK1_JOIN @ sK3_SY75 @ sK4_SY78 ) @ ( sK1_JOIN @ sK3_SY75 @ sK5_SY80 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(19,plain,
( ( ! [SY72: a,SY73: a,SY74: a] :
( ( sK2_SY27 @ SY72 @ ( sK1_JOIN @ SY73 @ SY74 ) )
= ( sK1_JOIN @ ( sK2_SY27 @ SY72 @ SY73 ) @ ( sK2_SY27 @ SY72 @ SY74 ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(20,plain,
( ( ! [SY69: a,SY70: a,SY71: a] :
( ( sK1_JOIN @ SY69 @ ( sK2_SY27 @ SY70 @ SY71 ) )
= ( sK2_SY27 @ ( sK1_JOIN @ SY69 @ SY70 ) @ ( sK1_JOIN @ SY69 @ SY71 ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(21,plain,
( ( ! [SY67: a,SY68: a] :
( ( sK2_SY27 @ ( sK1_JOIN @ SY67 @ SY68 ) @ SY68 )
= SY68 ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(22,plain,
( ( ! [SY65: a,SY66: a] :
( ( sK1_JOIN @ ( sK2_SY27 @ SY65 @ SY66 ) @ SY66 )
= SY66 ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(23,plain,
( ( ! [SY63: a,SY64: a] :
( ( sK2_SY27 @ SY63 @ SY64 )
= ( sK2_SY27 @ SY64 @ SY63 ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(24,plain,
( ( ! [SY36: a,SY37: a] :
( ( sK1_JOIN @ SY36 @ SY37 )
= ( sK1_JOIN @ SY37 @ SY36 ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(25,plain,
( ( ! [SY58: a,SY59: a,SY60: a] :
( ( sK2_SY27 @ ( sK2_SY27 @ SY58 @ SY59 ) @ SY60 )
= ( sK2_SY27 @ SY58 @ ( sK2_SY27 @ SY59 @ SY60 ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(26,plain,
( ( ! [SY30: a,SY31: a,SY32: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SY30 @ SY31 ) @ SY32 )
= ( sK1_JOIN @ SY30 @ ( sK1_JOIN @ SY31 @ SY32 ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(27,plain,
( ( ! [SY54: a] :
( ( sK2_SY27 @ SY54 @ SY54 )
= SY54 ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(28,plain,
( ( ! [SY28: a] :
( ( sK1_JOIN @ SY28 @ SY28 )
= SY28 ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(29,plain,
( ( ( ( sK1_JOIN @ sK3_SY75 @ ( sK2_SY27 @ sK4_SY78 @ ( sK1_JOIN @ sK3_SY75 @ sK5_SY80 ) ) )
!= ( sK2_SY27 @ ( sK1_JOIN @ sK3_SY75 @ sK4_SY78 ) @ ( sK1_JOIN @ sK3_SY75 @ sK5_SY80 ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(30,plain,
! [SV1: a] :
( ( ! [SY81: a,SY82: a] :
( ( sK2_SY27 @ SV1 @ ( sK1_JOIN @ SY81 @ SY82 ) )
= ( sK1_JOIN @ ( sK2_SY27 @ SV1 @ SY81 ) @ ( sK2_SY27 @ SV1 @ SY82 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(31,plain,
! [SV2: a] :
( ( ! [SY83: a,SY84: a] :
( ( sK1_JOIN @ SV2 @ ( sK2_SY27 @ SY83 @ SY84 ) )
= ( sK2_SY27 @ ( sK1_JOIN @ SV2 @ SY83 ) @ ( sK1_JOIN @ SV2 @ SY84 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(32,plain,
! [SV3: a] :
( ( ! [SY85: a] :
( ( sK2_SY27 @ ( sK1_JOIN @ SV3 @ SY85 ) @ SY85 )
= SY85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(33,plain,
! [SV4: a] :
( ( ! [SY86: a] :
( ( sK1_JOIN @ ( sK2_SY27 @ SV4 @ SY86 ) @ SY86 )
= SY86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(34,plain,
! [SV5: a] :
( ( ! [SY87: a] :
( ( sK2_SY27 @ SV5 @ SY87 )
= ( sK2_SY27 @ SY87 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(35,plain,
! [SV6: a] :
( ( ! [SY88: a] :
( ( sK1_JOIN @ SV6 @ SY88 )
= ( sK1_JOIN @ SY88 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(36,plain,
! [SV7: a] :
( ( ! [SY89: a,SY90: a] :
( ( sK2_SY27 @ ( sK2_SY27 @ SV7 @ SY89 ) @ SY90 )
= ( sK2_SY27 @ SV7 @ ( sK2_SY27 @ SY89 @ SY90 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(37,plain,
! [SV8: a] :
( ( ! [SY91: a,SY92: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SV8 @ SY91 ) @ SY92 )
= ( sK1_JOIN @ SV8 @ ( sK1_JOIN @ SY91 @ SY92 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(38,plain,
! [SV9: a] :
( ( ( sK2_SY27 @ SV9 @ SV9 )
= SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(39,plain,
! [SV10: a] :
( ( ( sK1_JOIN @ SV10 @ SV10 )
= SV10 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(40,plain,
( ( ( sK1_JOIN @ sK3_SY75 @ ( sK2_SY27 @ sK4_SY78 @ ( sK1_JOIN @ sK3_SY75 @ sK5_SY80 ) ) )
= ( sK2_SY27 @ ( sK1_JOIN @ sK3_SY75 @ sK4_SY78 ) @ ( sK1_JOIN @ sK3_SY75 @ sK5_SY80 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(41,plain,
! [SV11: a,SV1: a] :
( ( ! [SY93: a] :
( ( sK2_SY27 @ SV1 @ ( sK1_JOIN @ SV11 @ SY93 ) )
= ( sK1_JOIN @ ( sK2_SY27 @ SV1 @ SV11 ) @ ( sK2_SY27 @ SV1 @ SY93 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(42,plain,
! [SV12: a,SV2: a] :
( ( ! [SY94: a] :
( ( sK1_JOIN @ SV2 @ ( sK2_SY27 @ SV12 @ SY94 ) )
= ( sK2_SY27 @ ( sK1_JOIN @ SV2 @ SV12 ) @ ( sK1_JOIN @ SV2 @ SY94 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(43,plain,
! [SV13: a,SV3: a] :
( ( ( sK2_SY27 @ ( sK1_JOIN @ SV3 @ SV13 ) @ SV13 )
= SV13 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(44,plain,
! [SV14: a,SV4: a] :
( ( ( sK1_JOIN @ ( sK2_SY27 @ SV4 @ SV14 ) @ SV14 )
= SV14 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(45,plain,
! [SV15: a,SV5: a] :
( ( ( sK2_SY27 @ SV5 @ SV15 )
= ( sK2_SY27 @ SV15 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(46,plain,
! [SV16: a,SV6: a] :
( ( ( sK1_JOIN @ SV6 @ SV16 )
= ( sK1_JOIN @ SV16 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(47,plain,
! [SV17: a,SV7: a] :
( ( ! [SY95: a] :
( ( sK2_SY27 @ ( sK2_SY27 @ SV7 @ SV17 ) @ SY95 )
= ( sK2_SY27 @ SV7 @ ( sK2_SY27 @ SV17 @ SY95 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(48,plain,
! [SV18: a,SV8: a] :
( ( ! [SY96: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SV8 @ SV18 ) @ SY96 )
= ( sK1_JOIN @ SV8 @ ( sK1_JOIN @ SV18 @ SY96 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(49,plain,
! [SV19: a,SV11: a,SV1: a] :
( ( ( sK2_SY27 @ SV1 @ ( sK1_JOIN @ SV11 @ SV19 ) )
= ( sK1_JOIN @ ( sK2_SY27 @ SV1 @ SV11 ) @ ( sK2_SY27 @ SV1 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(50,plain,
! [SV20: a,SV12: a,SV2: a] :
( ( ( sK1_JOIN @ SV2 @ ( sK2_SY27 @ SV12 @ SV20 ) )
= ( sK2_SY27 @ ( sK1_JOIN @ SV2 @ SV12 ) @ ( sK1_JOIN @ SV2 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(51,plain,
! [SV21: a,SV17: a,SV7: a] :
( ( ( sK2_SY27 @ ( sK2_SY27 @ SV7 @ SV17 ) @ SV21 )
= ( sK2_SY27 @ SV7 @ ( sK2_SY27 @ SV17 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(52,plain,
! [SV22: a,SV18: a,SV8: a] :
( ( ( sK1_JOIN @ ( sK1_JOIN @ SV8 @ SV18 ) @ SV22 )
= ( sK1_JOIN @ SV8 @ ( sK1_JOIN @ SV18 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(53,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[38,52,51,50,49,46,45,44,43,40,39]) ).
thf(54,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV002^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n012.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 16:02:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.36
% 0.19/0.36 No.of.Axioms: 0
% 0.19/0.36
% 0.19/0.36 Length.of.Defs: 0
% 0.19/0.36
% 0.19/0.36 Contains.Choice.Funs: false
% 0.19/0.37 (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)....
% 0.46/0.65
% 0.46/0.65 ********************************
% 0.46/0.65 * All subproblems solved! *
% 0.46/0.65 ********************************
% 0.46/0.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:10,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:53,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.46/0.65
% 0.46/0.65 %**** Beginning of derivation protocol ****
% 0.46/0.65 % SZS output start CNFRefutation
% See solution above
% 0.46/0.65
% 0.46/0.65 %**** End of derivation protocol ****
% 0.46/0.65 %**** no. of clauses in derivation: 54 ****
% 0.46/0.65 %**** clause counter: 53 ****
% 0.46/0.65
% 0.46/0.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:10,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:53,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------