TSTP Solution File: NUM737^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUM737^1 : TPTP v8.1.0. Released v3.7.0.
% 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 : Mon Jul 18 11:54:50 EDT 2022
% Result : Theorem 177.40s 177.67s
% Output : CNFRefutation 177.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 83 ( 51 unt; 10 typ; 0 def)
% Number of atoms : 292 ( 137 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 771 ( 18 ~; 33 |; 0 &; 714 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 141 ( 0 ^ 141 !; 0 ?; 141 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_frac,type,
frac: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_den,type,
den: frac > nat ).
thf(tp_more,type,
more: nat > nat > $o ).
thf(tp_num,type,
num: frac > nat ).
thf(tp_ts,type,
ts: nat > nat > nat ).
thf(tp_u,type,
u: frac ).
thf(tp_x,type,
x: frac ).
thf(tp_y,type,
y: frac ).
thf(tp_z,type,
z: frac ).
thf(1,axiom,
! [Xx: frac,Xy: frac] :
( ( ( ts @ ( num @ Xx ) @ ( den @ Xy ) )
= ( ts @ ( num @ Xy ) @ ( den @ Xx ) ) )
=> ( ( ts @ ( num @ Xy ) @ ( den @ Xx ) )
= ( ts @ ( num @ Xx ) @ ( den @ Xy ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz38) ).
thf(2,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( ts @ ( ts @ Xx @ Xy ) @ Xz )
= ( ts @ Xx @ ( ts @ Xy @ Xz ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz31) ).
thf(3,axiom,
! [Xx: nat,Xy: nat] :
( ( ts @ Xx @ Xy )
= ( ts @ Xy @ Xx ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz29) ).
thf(4,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( more @ Xx @ Xy )
=> ( more @ ( ts @ Xz @ Xx ) @ ( ts @ Xz @ Xy ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz32d) ).
thf(5,axiom,
! [Xx: nat,Xy: nat,Xz: nat] :
( ( more @ ( ts @ Xx @ Xz ) @ ( ts @ Xy @ Xz ) )
=> ( more @ Xx @ Xy ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz33a) ).
thf(6,axiom,
( ( ts @ ( num @ y ) @ ( den @ u ) )
= ( ts @ ( num @ u ) @ ( den @ y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f) ).
thf(7,axiom,
( ( ts @ ( num @ x ) @ ( den @ z ) )
= ( ts @ ( num @ z ) @ ( den @ x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e) ).
thf(8,axiom,
more @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m) ).
thf(9,conjecture,
more @ ( ts @ ( num @ z ) @ ( den @ u ) ) @ ( ts @ ( num @ u ) @ ( den @ z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz44) ).
thf(10,negated_conjecture,
( ( more @ ( ts @ ( num @ z ) @ ( den @ u ) ) @ ( ts @ ( num @ u ) @ ( den @ z ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[9]) ).
thf(11,plain,
( ( more @ ( ts @ ( num @ z ) @ ( den @ u ) ) @ ( ts @ ( num @ u ) @ ( den @ z ) ) )
= $false ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [Xx: frac,Xy: frac] :
( ( ( ts @ ( num @ Xx ) @ ( den @ Xy ) )
= ( ts @ ( num @ Xy ) @ ( den @ Xx ) ) )
=> ( ( ts @ ( num @ Xy ) @ ( den @ Xx ) )
= ( ts @ ( num @ Xx ) @ ( den @ Xy ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(13,plain,
( ( ! [Xx: nat,Xy: nat,Xz: nat] :
( ( ts @ ( ts @ Xx @ Xy ) @ Xz )
= ( ts @ Xx @ ( ts @ Xy @ Xz ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(14,plain,
( ( ! [Xx: nat,Xy: nat] :
( ( ts @ Xx @ Xy )
= ( ts @ Xy @ Xx ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(15,plain,
( ( ! [Xx: nat,Xy: nat,Xz: nat] :
( ( more @ Xx @ Xy )
=> ( more @ ( ts @ Xz @ Xx ) @ ( ts @ Xz @ Xy ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(16,plain,
( ( ! [Xx: nat,Xy: nat,Xz: nat] :
( ( more @ ( ts @ Xx @ Xz ) @ ( ts @ Xy @ Xz ) )
=> ( more @ Xx @ Xy ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(17,plain,
( ( ( ts @ ( num @ y ) @ ( den @ u ) )
= ( ts @ ( num @ u ) @ ( den @ y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(18,plain,
( ( ( ts @ ( num @ x ) @ ( den @ z ) )
= ( ts @ ( num @ z ) @ ( den @ x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(19,plain,
( ( more @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(20,plain,
( ( ~ ( more @ ( ts @ ( num @ z ) @ ( den @ u ) ) @ ( ts @ ( num @ u ) @ ( den @ z ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[11]) ).
thf(21,plain,
( ( ! [Xx: frac,Xy: frac] :
( ( ( ts @ ( num @ Xx ) @ ( den @ Xy ) )
!= ( ts @ ( num @ Xy ) @ ( den @ Xx ) ) )
| ( ( ts @ ( num @ Xy ) @ ( den @ Xx ) )
= ( ts @ ( num @ Xx ) @ ( den @ Xy ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(22,plain,
( ( ! [Xx: nat,Xy: nat] :
( ~ ( more @ Xx @ Xy )
| ! [Xz: nat] : ( more @ ( ts @ Xz @ Xx ) @ ( ts @ Xz @ Xy ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(23,plain,
( ( ! [Xx: nat,Xy: nat] :
( ! [Xz: nat] :
~ ( more @ ( ts @ Xx @ Xz ) @ ( ts @ Xy @ Xz ) )
| ( more @ Xx @ Xy ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(24,plain,
( ( more @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(25,plain,
( ( ( ts @ ( num @ x ) @ ( den @ z ) )
= ( ts @ ( num @ z ) @ ( den @ x ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(26,plain,
( ( ( ts @ ( num @ y ) @ ( den @ u ) )
= ( ts @ ( num @ u ) @ ( den @ y ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(27,plain,
( ( ! [Xx: nat,Xy: nat] :
( ! [Xz: nat] :
~ ( more @ ( ts @ Xx @ Xz ) @ ( ts @ Xy @ Xz ) )
| ( more @ Xx @ Xy ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(28,plain,
( ( ! [Xx: nat,Xy: nat] :
( ~ ( more @ Xx @ Xy )
| ! [Xz: nat] : ( more @ ( ts @ Xz @ Xx ) @ ( ts @ Xz @ Xy ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(29,plain,
( ( ! [Xx: nat,Xy: nat] :
( ( ts @ Xx @ Xy )
= ( ts @ Xy @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(30,plain,
( ( ! [Xx: nat,Xy: nat,Xz: nat] :
( ( ts @ ( ts @ Xx @ Xy ) @ Xz )
= ( ts @ Xx @ ( ts @ Xy @ Xz ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(31,plain,
( ( ! [Xx: frac,Xy: frac] :
( ( ( ts @ ( num @ Xx ) @ ( den @ Xy ) )
!= ( ts @ ( num @ Xy ) @ ( den @ Xx ) ) )
| ( ( ts @ ( num @ Xy ) @ ( den @ Xx ) )
= ( ts @ ( num @ Xx ) @ ( den @ Xy ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(32,plain,
( ( ~ ( more @ ( ts @ ( num @ z ) @ ( den @ u ) ) @ ( ts @ ( num @ u ) @ ( den @ z ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(33,plain,
! [SV1: nat] :
( ( ! [SY48: nat] :
( ! [SY49: nat] :
~ ( more @ ( ts @ SV1 @ SY49 ) @ ( ts @ SY48 @ SY49 ) )
| ( more @ SV1 @ SY48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(34,plain,
! [SV2: nat] :
( ( ! [SY50: nat] :
( ~ ( more @ SV2 @ SY50 )
| ! [SY51: nat] : ( more @ ( ts @ SY51 @ SV2 ) @ ( ts @ SY51 @ SY50 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(35,plain,
! [SV3: nat] :
( ( ! [SY52: nat] :
( ( ts @ SV3 @ SY52 )
= ( ts @ SY52 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(36,plain,
! [SV4: nat] :
( ( ! [SY53: nat,SY54: nat] :
( ( ts @ ( ts @ SV4 @ SY53 ) @ SY54 )
= ( ts @ SV4 @ ( ts @ SY53 @ SY54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(37,plain,
! [SV5: frac] :
( ( ! [SY55: frac] :
( ( ( ts @ ( num @ SV5 ) @ ( den @ SY55 ) )
!= ( ts @ ( num @ SY55 ) @ ( den @ SV5 ) ) )
| ( ( ts @ ( num @ SY55 ) @ ( den @ SV5 ) )
= ( ts @ ( num @ SV5 ) @ ( den @ SY55 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(38,plain,
( ( more @ ( ts @ ( num @ z ) @ ( den @ u ) ) @ ( ts @ ( num @ u ) @ ( den @ z ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(39,plain,
! [SV6: nat,SV1: nat] :
( ( ! [SY56: nat] :
~ ( more @ ( ts @ SV1 @ SY56 ) @ ( ts @ SV6 @ SY56 ) )
| ( more @ SV1 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(40,plain,
! [SV7: nat,SV2: nat] :
( ( ~ ( more @ SV2 @ SV7 )
| ! [SY57: nat] : ( more @ ( ts @ SY57 @ SV2 ) @ ( ts @ SY57 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(41,plain,
! [SV8: nat,SV3: nat] :
( ( ( ts @ SV3 @ SV8 )
= ( ts @ SV8 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(42,plain,
! [SV9: nat,SV4: nat] :
( ( ! [SY58: nat] :
( ( ts @ ( ts @ SV4 @ SV9 ) @ SY58 )
= ( ts @ SV4 @ ( ts @ SV9 @ SY58 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(43,plain,
! [SV10: frac,SV5: frac] :
( ( ( ( ts @ ( num @ SV5 ) @ ( den @ SV10 ) )
!= ( ts @ ( num @ SV10 ) @ ( den @ SV5 ) ) )
| ( ( ts @ ( num @ SV10 ) @ ( den @ SV5 ) )
= ( ts @ ( num @ SV5 ) @ ( den @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(44,plain,
! [SV6: nat,SV1: nat] :
( ( ( ! [SY56: nat] :
~ ( more @ ( ts @ SV1 @ SY56 ) @ ( ts @ SV6 @ SY56 ) ) )
= $true )
| ( ( more @ SV1 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(45,plain,
! [SV7: nat,SV2: nat] :
( ( ( ~ ( more @ SV2 @ SV7 ) )
= $true )
| ( ( ! [SY57: nat] : ( more @ ( ts @ SY57 @ SV2 ) @ ( ts @ SY57 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV11: nat,SV9: nat,SV4: nat] :
( ( ( ts @ ( ts @ SV4 @ SV9 ) @ SV11 )
= ( ts @ SV4 @ ( ts @ SV9 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV10: frac,SV5: frac] :
( ( ( ( ( ts @ ( num @ SV5 ) @ ( den @ SV10 ) )
!= ( ts @ ( num @ SV10 ) @ ( den @ SV5 ) ) ) )
= $true )
| ( ( ( ts @ ( num @ SV10 ) @ ( den @ SV5 ) )
= ( ts @ ( num @ SV5 ) @ ( den @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV6: nat,SV12: nat,SV1: nat] :
( ( ( ~ ( more @ ( ts @ SV1 @ SV12 ) @ ( ts @ SV6 @ SV12 ) ) )
= $true )
| ( ( more @ SV1 @ SV6 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV7: nat,SV2: nat] :
( ( ( more @ SV2 @ SV7 )
= $false )
| ( ( ! [SY57: nat] : ( more @ ( ts @ SY57 @ SV2 ) @ ( ts @ SY57 @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(50,plain,
! [SV10: frac,SV5: frac] :
( ( ( ( ts @ ( num @ SV5 ) @ ( den @ SV10 ) )
= ( ts @ ( num @ SV10 ) @ ( den @ SV5 ) ) )
= $false )
| ( ( ( ts @ ( num @ SV10 ) @ ( den @ SV5 ) )
= ( ts @ ( num @ SV5 ) @ ( den @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(51,plain,
! [SV6: nat,SV12: nat,SV1: nat] :
( ( ( more @ ( ts @ SV1 @ SV12 ) @ ( ts @ SV6 @ SV12 ) )
= $false )
| ( ( more @ SV1 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(52,plain,
! [SV7: nat,SV2: nat,SV13: nat] :
( ( ( more @ ( ts @ SV13 @ SV2 ) @ ( ts @ SV13 @ SV7 ) )
= $true )
| ( ( more @ SV2 @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(57,plain,
! [SV14: nat,SV15: nat] :
( ( ( ts @ SV15 @ SV14 )
= ( ts @ SV14 @ SV15 ) )
= $true ),
inference(rename,[status(thm)],[41]) ).
thf(59,plain,
! [SV16: nat,SV17: nat,SV18: nat] :
( ( ( ts @ ( ts @ SV18 @ SV17 ) @ SV16 )
= ( ts @ SV18 @ ( ts @ SV17 @ SV16 ) ) )
= $true ),
inference(rename,[status(thm)],[46]) ).
thf(61,plain,
! [SV19: frac,SV20: frac] :
( ( ( ( ts @ ( num @ SV20 ) @ ( den @ SV19 ) )
= ( ts @ ( num @ SV19 ) @ ( den @ SV20 ) ) )
= $false )
| ( ( ( ts @ ( num @ SV19 ) @ ( den @ SV20 ) )
= ( ts @ ( num @ SV20 ) @ ( den @ SV19 ) ) )
= $true ) ),
inference(rename,[status(thm)],[50]) ).
thf(67,plain,
! [SV19: frac,SV20: frac] :
( ( ( ( ( ts @ ( num @ SV20 ) @ ( den @ SV19 ) )
= ( ts @ ( num @ SV19 ) @ ( den @ SV20 ) ) )
= ( ( ts @ ( num @ y ) @ ( den @ u ) )
= ( ts @ ( num @ u ) @ ( den @ y ) ) ) )
= $false )
| ( ( ( ts @ ( num @ SV19 ) @ ( den @ SV20 ) )
= ( ts @ ( num @ SV20 ) @ ( den @ SV19 ) ) )
= $true ) ),
inference(res,[status(thm)],[61,26]) ).
thf(68,plain,
! [SV19: frac,SV20: frac] :
( ( ( ( ( ts @ ( num @ SV20 ) @ ( den @ SV19 ) )
= ( ts @ ( num @ SV19 ) @ ( den @ SV20 ) ) )
= ( ( ts @ ( num @ x ) @ ( den @ z ) )
= ( ts @ ( num @ z ) @ ( den @ x ) ) ) )
= $false )
| ( ( ( ts @ ( num @ SV19 ) @ ( den @ SV20 ) )
= ( ts @ ( num @ SV20 ) @ ( den @ SV19 ) ) )
= $true ) ),
inference(res,[status(thm)],[61,25]) ).
thf(70,plain,
( ( ( ts @ ( num @ x ) @ ( den @ z ) )
= ( ts @ ( num @ z ) @ ( den @ x ) ) )
= $true ),
inference(extuni,[status(esa)],[68:[bind(SV20,$thf( z )),bind(SV19,$thf( x ))]]) ).
thf(71,plain,
( ( ( ts @ ( num @ z ) @ ( den @ x ) )
= ( ts @ ( num @ x ) @ ( den @ z ) ) )
= $true ),
inference(extuni,[status(esa)],[68:[bind(SV19,$thf( z )),bind(SV20,$thf( x ))]]) ).
thf(72,plain,
( ( ( ts @ ( num @ y ) @ ( den @ u ) )
= ( ts @ ( num @ u ) @ ( den @ y ) ) )
= $true ),
inference(extuni,[status(esa)],[67:[bind(SV20,$thf( u )),bind(SV19,$thf( y ))]]) ).
thf(73,plain,
( ( ( ts @ ( num @ u ) @ ( den @ y ) )
= ( ts @ ( num @ y ) @ ( den @ u ) ) )
= $true ),
inference(extuni,[status(esa)],[67:[bind(SV19,$thf( u )),bind(SV20,$thf( y ))]]) ).
thf(79,plain,
! [SV21: nat,SV22: nat,SV23: nat] :
( ( ( more @ ( ts @ SV23 @ SV22 ) @ ( ts @ SV21 @ SV22 ) )
= $false )
| ( ( more @ SV23 @ SV21 )
= $true ) ),
inference(rename,[status(thm)],[51]) ).
thf(86,plain,
! [SV21: nat,SV22: nat,SV23: nat] :
( ( ( ( more @ SV23 @ SV21 )
= ( more @ ( ts @ ( num @ z ) @ ( den @ u ) ) @ ( ts @ ( num @ u ) @ ( den @ z ) ) ) )
= $false )
| ( ( more @ ( ts @ SV23 @ SV22 ) @ ( ts @ SV21 @ SV22 ) )
= $false ) ),
inference(res,[status(thm)],[79,38]) ).
thf(90,plain,
! [SV22: nat] :
( ( more @ ( ts @ ( ts @ ( num @ z ) @ ( den @ u ) ) @ SV22 ) @ ( ts @ ( ts @ ( num @ u ) @ ( den @ z ) ) @ SV22 ) )
= $false ),
inference(extuni,[status(esa)],[86:[bind(SV21,$thf( ts @ ( num @ u ) @ ( den @ z ) )),bind(SV23,$thf( ts @ ( num @ z ) @ ( den @ u ) ))]]) ).
thf(91,plain,
! [SV24: nat,SV25: nat,SV26: nat] :
( ( ( more @ ( ts @ SV26 @ SV25 ) @ ( ts @ SV26 @ SV24 ) )
= $true )
| ( ( more @ SV25 @ SV24 )
= $false ) ),
inference(rename,[status(thm)],[52]) ).
thf(94,plain,
! [SV24: nat,SV25: nat,SV26: nat,SV21: nat,SV22: nat,SV23: nat] :
( ( ( ( more @ SV25 @ SV24 )
= ( more @ SV23 @ SV21 ) )
= $false )
| ( ( more @ ( ts @ SV26 @ SV25 ) @ ( ts @ SV26 @ SV24 ) )
= $true )
| ( ( more @ ( ts @ SV23 @ SV22 ) @ ( ts @ SV21 @ SV22 ) )
= $false ) ),
inference(res,[status(thm)],[91,79]) ).
thf(95,plain,
! [SV24: nat,SV25: nat,SV26: nat,SV21: nat,SV22: nat,SV23: nat] :
( ( ( ( more @ ( ts @ SV26 @ SV25 ) @ ( ts @ SV26 @ SV24 ) )
= ( more @ ( ts @ SV23 @ SV22 ) @ ( ts @ SV21 @ SV22 ) ) )
= $false )
| ( ( more @ SV25 @ SV24 )
= $false )
| ( ( more @ SV23 @ SV21 )
= $true ) ),
inference(res,[status(thm)],[91,79]) ).
thf(103,plain,
! [SV24: nat,SV25: nat,SV26: nat] :
( ( ( ( more @ SV25 @ SV24 )
= ( more @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ) ) )
= $false )
| ( ( more @ ( ts @ SV26 @ SV25 ) @ ( ts @ SV26 @ SV24 ) )
= $true ) ),
inference(res,[status(thm)],[91,24]) ).
thf(104,plain,
! [SV26: nat] :
( ( more @ ( ts @ SV26 @ ( ts @ ( num @ x ) @ ( den @ y ) ) ) @ ( ts @ SV26 @ ( ts @ ( num @ y ) @ ( den @ x ) ) ) )
= $true ),
inference(extuni,[status(esa)],[103:[bind(SV24,$thf( ts @ ( num @ y ) @ ( den @ x ) )),bind(SV25,$thf( ts @ ( num @ x ) @ ( den @ y ) ))]]) ).
thf(105,plain,
! [SV22: nat,SV21: nat] :
( ( ( more @ SV21 @ SV21 )
= $true )
| ( ( more @ SV22 @ SV22 )
= $false ) ),
inference(extuni,[status(esa)],[95:[bind(SV24,$thf( SV22 )),bind(SV23,$thf( SV21 )),bind(SV25,$thf( SV22 )),bind(SV26,$thf( SV21 ))]]) ).
thf(106,plain,
! [SV26: nat,SV21: nat,SV22: nat,SV23: nat] :
( ( ( more @ ( ts @ SV23 @ SV22 ) @ ( ts @ SV21 @ SV22 ) )
= $false )
| ( ( more @ ( ts @ SV26 @ SV23 ) @ ( ts @ SV26 @ SV21 ) )
= $true ) ),
inference(extuni,[status(esa)],[94:[bind(SV24,$thf( SV21 )),bind(SV25,$thf( SV23 ))]]) ).
thf(107,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[24,106,105,104,91,90,79,73,72,71,70,61,59,57,38,26,25]) ).
thf(108,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM737^1 : TPTP v8.1.0. Released v3.7.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jul 6 03:14:38 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35
% 0.14/0.35 No.of.Axioms: 8
% 0.14/0.35
% 0.14/0.35 Length.of.Defs: 0
% 0.14/0.35
% 0.14/0.35 Contains.Choice.Funs: false
% 0.14/0.35 (rf:0,axioms:8,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:10,loop_count:0,foatp_calls:0,translation:fof_full)..eprover: CPU time limit exceeded, terminating
% 25.26/25.43 .eprover: CPU time limit exceeded, terminating
% 50.32/50.51 .....eprover: CPU time limit exceeded, terminating
% 74.68/74.88 .
% 75.06/75.25 (rf:0,axioms:8,ps:2,u:1,ude:false,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:10,loop_count:0,foatp_calls:0,translation:fof_full)..eprover: CPU time limit exceeded, terminating
% 100.06/100.36 .eprover: CPU time limit exceeded, terminating
% 125.18/125.44 .....eprover: CPU time limit exceeded, terminating
% 150.19/150.41
% 150.19/150.41 (rf:0,axioms:8,ps:3,u:8,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,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:10,loop_count:0,foatp_calls:0,translation:fof_full)...eprover: CPU time limit exceeded, terminating
% 175.27/175.53 ..
% 177.40/177.67
% 177.40/177.67 ********************************
% 177.40/177.67 * All subproblems solved! *
% 177.40/177.67 ********************************
% 177.40/177.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:8,ps:3,u:8,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,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:107,loop_count:10,foatp_calls:2,translation:fof_full)
% 177.40/177.68
% 177.40/177.68 %**** Beginning of derivation protocol ****
% 177.40/177.68 % SZS output start CNFRefutation
% See solution above
% 177.40/177.68
% 177.40/177.68 %**** End of derivation protocol ****
% 177.40/177.68 %**** no. of clauses in derivation: 73 ****
% 177.40/177.68 %**** clause counter: 107 ****
% 177.40/177.68
% 177.40/177.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:8,ps:3,u:8,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,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:107,loop_count:10,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------